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![_________ 30. Rounding me to the nearest hundred makes me 600. Rounding me to the
nearest ten, makes me 630. If the sum of my digits is 13, what number am I?
_________ 31. If 200 m of string is divided into three pieces in the ratio 1:2:5, how long
is the string of middle length?
_________ 32. There are 450 Grade 4 pupils in a school. If 42% of them are girls, how
many Grade 4 boys are there?
_________ 33. If the rations for 24 scouts on a camp can last them for 12 days, how long
will it last if 8 scouts suddenly join them on the first day?
_________ 34. A class has 21 boys. If the ratio of boys to girls in the class is 7:8, how
many pupils are in the class?
_________ 35. What is the best metric unit to measure the height of a flagpole?
_________ 36. Romy’s garden is 23 m long and 18 m wide. What is its perimeter?
_________ 37. What is the area of Romy’s garden in #36?
_________ 38. A farmer began plowing his field at 5:15 A.M. He finished in 5 hours
and 35 minutes. What time did he finish?
_________ 39. A rectangular lot has a perimeter of 156 m. If the width is 34 m,
what is its length?
_________ 40. What is the supplement of the complement of a 38o angle?
_________ 41.One third of the area of a rectangle is equal to
4
5
of the area of a square
of side 15 cm. Find the area of the rectangle.
_________ 42. A circular lagoon has a radius of 32 m. If you walk around it, how many
meters will that be? [Use π = 3.14]
_________ 43. What is the area of the lagoon in #42?
_________ 44. One milk can has a radius of 10 cm and a height of 8 cm. A second milk can
has a radius of 8 cm and a height of 10 cm. How much more milk does
the bigger can hold?
_________ 45. In a game, Joe’s score is 12 points more than David’s. Carlo’s score is
9 points less than David’s. Together, the score of the three is 72.
What is the score of Joe?
_________ 46. A piece of rope is cut into 3 pieces in the ratio 2:3:4. If the middle piece
is 27 m long, how long is the whole rope?
_________ 47. The total surface area of a cube is 216 cm2. Find the length of one side.
_________ 48. Poles are placed 5 m apart along the length of a field 175 m long.
How many poles are there?
_________ 49. Jane noticed that the amount of money she saved doubled each month
for 4 consecutive months. She saved P360 in the fourth month. How much
did she save during the 4 months?
_________ 50. Pam and Ted are each less than 30 years old. Pam is 9 years older than
Ted. Each of their ages is a composite number greater than 10 and do
not have a common factor. How old is Pam?
-2-
2004 Division Orals Metrobank-MTAP-NCR Math Challenge - Grade 4
A. 15-second questions – 2 points each](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-11-320.jpg)
![_________28. If 382.28 x 100 = 3.8228 x N, what is N?
_________29. A typhoon is moving at a speed of 87 km per hour. At this rate, how far will
the typhoonbe in 4.5 hours?
_________30. 6.07 is equal to how many hundredths?
_________31. What is the ratio of 32 hours to 2 days?
_________32. In a nut mixture, peanuts: cashews: pecans = 5:2:3. How many kilograms
of cashew nuts are in a 50 kg mixture?
_________33. Rosecan type 60 words per minute. At that rate, how long will it take her
to type 540 words?
_________34. What is the average of Liza if she got 92, 89, 85 and 90 in four tests?
_________35. Change
13
20
to percent.
_________36. There are 45 students in a class. One Monday, 20% of the class were absent.
How many students were present?
_________37. A movie lasted for one hour and 45 minutes. It ended at 10:30 p.m.
What time did it begin?
_________38. The perimeter of a square is 48 cm. What is its area?
_________39. The area of a rectangle is 108 cm2. If one side is 12 cm, find the perimeter.
_________40. How many numbers from 30 to 60 contain the digit 3?
_________41. How many square centimeters of plastic will be needed to cover a table
which is 127 cm by 62 cm?
_________42. A jewelry boxis 12 cm by 6 cm by 10 cm. What is the volume of the box?
_________43. A circular flower plot has a radius of 3.5 meters. If you walk 5 times around it,
how many meters will that be? [ π = 3.14 ]
_________44. Find the perimeter of the figure.
12cm
28cm
42cm 12cm
_________45. A lady bought pillow cases at 3 for ₱100 and sold them at 2 for ₱100.
She made a profit of ₱5,000.00 . How many pillow cases did the lady buy?
_________46. Rosehas 12 meters of cloth. If a dish towel requires 5/6 m, how many dish
towels can Rosemake?
_________47. Nelia has 32 foreign stamps. She has
7
4
as many Philippine stamps.
How many stamps in all has she?
_________48. The sum of the digits of a 2-digit number is 12. If the digits are reversed,
the new number is 18 greater than the original number. What is the number?
_________49. Nita made 6 more sampaguita garlands than Liza. Together, they made 132.
How many garlands did Nita make?
_________50. A schoolyard is 106 m long and 67 m wide. If a jogger wants to run 5 km a day,
at least how many times must he run around the yard completely to be sure he
has at least jogged 5 km?
-1-
2006 REGIONAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4
A. 15-second questions – 2 points each](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-22-320.jpg)
![I. Write the answer on the blank before the number. [ 2 points each] Time: 75 minutes
__________ 1. What is the place value of 3 in 4.01534?
__________ 2. 1.56 is equal to how many hundredths?
__________ 3. What is the difference between 6 dozen dozens and half a dozen dozens?
__________ 4. Write 5.625 as an improper fraction in lowest terms.
__________ 5. What is the tens digit of (100 x 9) + (20 x 9) + (3 x 9)?
__________ 6. A cyclist covered 50 kilometers at a speed of 12.5 km/hr. How long did it take
him to reach his destination?
__________ 7. How many hours and minutes will it take to count a million at an average
rate of 100 numbers a minute?
__________ 8. A car averages 9 km to each liter of gasoline. How many liters (to the nearest
whole number of liters) are needed to make a round trip to another town 278 km away?
__________ 9. How many segments can you name from the figure?
A B C D E F
__________ 10. Miss Cruz needs 2.5 dm of ribbon for each certificate. How many meters of
ribbon does she need to prepare 162 of them?
__________ 11. Beth pays ₱6.00 for a single ride to school. For how many days is ₱100
enough for her transportation?
__________ 12. Two supplementary angles are in the ratio 2:3. Find the bigger angle.
__________ 13. Jane wants to cover all sides of her sewing box which is 25 cm by 16 cm by
8 cm. What is the total surface to be covered?
__________ 14. A group of soldiers and 3 horses passed by. I counted 50 legs in all.
How many soldiers were there?
__________ 15.Lita had 72 stamps. She gave ½ of them to her sister and ½ of the remaining
stamps to her friend. How many stamps remained with her?
II. Solve each problem on scratch paper and write a neat and complete solution on the space
below. Label your answers. [3 points each]
1.I used
1
3
of my money on Sunday and
2
5
of it on Tuesday. I had exactly ₱44.00 left. How much
money had I at first?
2. A rectangular grass lawn is 85 m long and 60 m wide. There is a concrete walk 3 m wide around it
as shown. Find the area of the concrete walk.
1](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-24-320.jpg)
![3. Two pieces of silver together weigh 55 grams. The two pieces are placed in a balance, one on
each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the
small piece?
4.A car wheel has a radius of 3 ½ dm. How many times, to the nearest whole number, will it turn to
cover a kilometer? [ π =
𝟐𝟐
𝟕
]
5.Lucy uses about
1
3
kg of laundry soap in 5 days. At this rate, about how much laundry soap would
Lucy use a year?
III. Solve each problem on scratch paper and write a neat and complete solution on the space
below. [5 points each]
1. Find the values of A, B and C so that the sum of the numbers in the circles along the same line is
the number in the rectangle.
2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of
A+B will satisfy the given condition? Give 2 pairs of values for A and B.
3. The height of a boy was reported to be 140 cm. The height had been rounded to the nearest 10
cm. If the actual height was a whole number of cm, give all what you think could be his actual height?
2
A
CB 120
137 133](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-25-320.jpg)
![2007 REGIONAL INDIVIDUAL FINALS Metrobank-MTAP-DepEd Math Challenge
Grade 4
Solve each item and write the answer on the blank before the number.
[ 2 points each] Time: 80 minutes
__________ 1. Express 65% as a fraction in lowest terms.
__________ 2. What is the greatest common factor of 96 and 168?
__________ 3.Change
114
9
to a mixed number with the fraction part in lowest terms.
__________ 4. What is the remainder when 4596 is divided by 19?
__________ 5.By how much is 10
3
8
bigger than 6
7
12
?
__________ 6. A garden is 27 m long and 18 m wide. What is its area?
__________ 7. The ratio of two numbers is 5:9. If the larger is 108, what is the smaller?
__________ 8. How many bags of cement will be needed for a path 62 m long and 2.5 m wide if
one bag of cement is enough to cover 6 square meters of path?
__________ 9. If 12 x 12 x 12 = 16 x N, what is N?
__________ 10. What is the average speed of a train that traveled 448 kilometers in 8 hours?
__________ 11. A car averages 9 km to each liter of gasoline. How many liters (to the nearest
whole number of liters) are needed to make a round trip to another town 178 km away?
__________ 12. Miss Leni needs 3.2 dm of ribbon for each certificate. How many meters of
ribbon does she need to prepare 125 certificates?
__________ 13. Two supplementary angles are in the ratio 7:8. Find the bigger angle.
__________ 14. Joy read 85 pages of her book in 5 days. Her book contains 220 pages. At the
same rate, how many more days does she need to finish reading the book?
__________ 15. One side of a square garden is 17 m long. By how much is the area increased
if each side is increased by 5 m?
II. Solve each problem on scratch paper. Then, write a neat and complete solution on the
space provided . Label all answers. [3 points each]
1. Liza has three 5-peso coins and one 10-peso coin. Ruth has five 5-peso coins and one 10-peso
coin. How much more money do they need to buy an umbrella that costs ₱95.75 for their mother?
2. Two pieces of silver together weigh 55 grams. The two pieces are placed in a balance, one on
each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the
small piece?
-1-](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-26-320.jpg)
![3. A kilo of oranges cost ₱20.00. It contains about 8 pieces. A vendor bought 30 kilos and sold them
at 3 oranges for ₱10. How much did he gain if he sold all?
4. Letty bought 90 mangoes. If 34 of the mangoes were not ripe, what percent to the nearest whole
percent of the mangoes were ripe?
5.I spent
1
3
of my money in the first store;
1
2
of what remained in the second store. I left the second
store with exactly P90. How much money had I at first?
III. Solve each problem on scratch paper. Then, write a neat and complete solution on
the space provided . Label all answers. [5 points each]
1. Rose received ₱1.60 in change in 5¢, 10¢ and 25¢. She received 17 coins in all. How many of
each kind did she receive?
2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of
A+B will satisfy the given condition? Give any 3 numbers with A and B replaced by digits so that the
sum of the two numbers is divisible by 9.
3. The perimeter of a square is 3 times the perimeter of an isosceles triangle. One side of the square
is 21 cm. The base of the triangle is 1 cm longer than a side. If the height of the triangle is 7.5 cm,
find the area of the triangle.
-2-](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-27-320.jpg)
![2008 REGIONAL INDIVIDUAL FINALS Metrobank-MTAP-DepEd Math Challenge
Grade 4
I. Solve each item on scratch paper and write the answer on the blank before the number. [2
points each]
__________1.What is 78 more than the sum of 97 and 189?
__________2.2008 – 1993 is equal to 98 – _____ .
__________3.Carol bought 2 dozen pair of socks. If the pair of socks cost P28.50, what is the cost
of 2 dozen pair of socks?
__________4.(77 + 77 + 77) ÷ 7 = 66 ÷ ____ .
__________5.What is the tens digit of (100 x 9) + (30 x 9) + (7 x 9)?
__________6.If today is Wednesday, what day was it 100 days ago?
__________7.What is the smallest 5-digit number not ending in zero?
__________8.What is the smallest number that has 15, 24 and 32 as divisors?
__________9.If 227 is divided by 4, what is the product of the quotient and the remainder?
__________10.If 346 x 5 607 = 1 940 022, what is 34.6 x 56.07?
__________11.What is the difference between 6 dozen dozens and half a dozen dozens.
__________12.How many hours and minutes will it take to count a million at an average rate
of 100 a minute?
__________13.Peter made the smallest possible square with rectangular cards 8 cm by 10 cm.
How many cards did he use?
__________14.A car race started at 3:43 P.M. and ended at 5:57 P.M. At what time was the
race about half finished?
__________15.If the pattern of the name Lizzle, LIZZLELIZZLE . . . continues, what will be the
523rd letter?
II. Solve each item on scratch paper; then write a neat and complete solution on the space
provided. [3 points each]
1.A group of soldiers and 5 dogs passed by. I counted 68 legs in all. How many soldiers were there?
2.Jon planned his practice for a marathon. He will run 1 km the first day, and twice as far each day as
the day before after that. On which day will Jon run more than 20 km?
1](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-28-320.jpg)
![3.The diameter of a cigarette, 7 cm long is 7.5 mm. How many cigarettes can be packed in a box
which measures 7 cm by 15 cm by 3 cm internally?
4.Write down the odd multiples of 13 from 10 to 200.
5.How many digits are printed by a printer that prints all the numbers from 1 to 728 inclusive?
III. Solve on scratch paper; then write a neat and complete solution on the space provided. [5
points each]
1. A lawn is 45 m long and 30 m wide. There is a path, 5 m wide around it. Make a diagram of the
problem and find the
a. area of the lawn
b. area of the lawn and path
c. the area of the path
d. ratio of the area of the path to the area of the lawn.
2. Ronnie is thinking of a 3-digit number less than 500. If he exchanges the ones and hundreds, the
new number is 396 more. If he exchanges the ones and tens, the new number is 18 more. Find as
many numbers as you can of which Ronnie could be thinking.
3. A fruit-seller bought 5 boxes of oranges at P450 a box. There were 60 oranges in each box. He
threw away 20 rotten oranges. He sold
4
7
of the good oranges at P10 each, and the rest at P9.50
each. How much did he gain?
2](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-29-320.jpg)
![ANSWER KEYS
GRADE 4
2007 Division Team
Competition
A. 15-second questions
1. 7 x 13
2. 17,000
3. 4170
4. 88
5. 11, 12
6. 5 ¾
7. 8
8. 29/5
9. 3.2
10.48
11.22 500
B. 30-second questions
1. Lyn
2. 16
3. ¾ h
4. 10
1
3
5. ₱48
6. 120 cm
C. 1-minute questions
1. 15 chickens,6 pigs
2. ₱1,050
3. ₱15.20
4. 209
5. 19.25 m2
6. 49
Clincher questions
1. 3
2. 50.61
3. 5, 13
Do-Or-Die questions
1. 9
~~~~~~~~~~~~~~~~~~~~~~
2008 Division Orals
A. 15-second questions
1. 144
2. 10
3. 980
4. 60
5. 2
6. 101
7. 21
8. 24
9. 9, 15
10.45
11.30
B. 30-second questions
1. 18 cm
2. 7
3. 7
4. 9
5. 179
6. 42 ½
C. 1-minute questions
1. ₱120
2. 4.8 cm by 6.4cm
3. 36
4. 54 km
5. 7 [1 pack of 10 and 6
packs of 15]
6. Becomes 9 times
Clincher questions
1. 45 years
2. 6
3. 1080
Do-Or-Die questions
1. 4
~~~~~~~~~~~~~~~~~~~~~
2005 Regional Finals
A. 15-second questions
1. 68%
2. 44
3. 165
4. 54
5. ₱200
6. 50
7. 10
8. 72
9. 70
10.1/3
11.12 min
B. 30-second questions
1.
65
8
2. ₱680
3. 84
4. 142 ½ m
5. 37
6. 697
C. 1-minute questions
1. 32 m
2. ₱128
3. 6:42 P.M.
4. 36 km/h
5. 44m2
Clincher questions
1. 4
2. ₱382.50
3. 1872 cm2
Do-Or-Die questions
1. 45, 60, 75, 90
~~~~~~~~~~~~~~~~~~~~~~
2006 Regional Finals
A. 15-second questions
1. 45
2. 5
3. 11
4. 40 m
5. 4.251
6. 4.5 kg
7. 90
8. 16
9. 30
10.17, 18 or 19,
accept one
11.9, 13
B. 30-second questions
1. 27+28+29
2. 3.8
3. 5384
4. 66
5. 40
6. 90
C. 1-minute questions
1. 4988
2. ₱200
3. 60
4. 216 m2
5. ₱45
6. 26](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-33-320.jpg)
![Answer Key Grade 4
2004 – ELIMINATION
1. 24,000
2. 15
3. 2,078,605
4. 3000
5. 16
6. 108
7. 9 zeroes
8. 70,693
7 x 104 = 70,000
6 x 102 = 600
9 x 10 = 90
3 = 3
70,693
9. <
10. c. 26 = 13 x 2 x 1
11. 6 and 16 24. 15.7 m
x = 1st number
22 –x = 2nd number
product = 96
= 2 x 2 x 2 x 2 x 2 x 3
Factors Sum
1 x 96 97
2 x 48 50
3 x 32 35
4 x 24 28
6 x 16 22
8 x 12 20
12. 1,479
13. 1 = 56,N78
5 + 6 + N + 7 + 8 =
26 + N
N = 27 – 26
N = 1
14. 22 x 32 x 5 x 7
15. 41,574
16. 4
17. 3,500
3000 + 4000 = 3500
2
18. 3,116
19. 318
17 pages
x 18 stamps/pg
=306
18th pg. + 12
318
20. 13
21. Subtract
22. 40
x= smaller
x+16=bigger
x : x+16=3 : 5
3(x+16)=5x
3x+48=5x
48=2x
24=x
23. .25 cm : 9 dm
.25 cm = 90 cm
[ ¼ cm = 90 cm] 4
1cm = 360 cm
24. 15.7 m
30 m – (55 x 0.26m)
30 m–14.30 = 15.70m
25. 7400
26. 20
6
2
3
=
20
3
÷
1
3
=20
27.
103
12
28. 11
7
11
29.
11
13
30.
3
4
54 = 2 x 3 x 3x 3 = 3
72 2 x 2 x 2x 3 x 3 4
31. 10
5
12
m
32. 2
5
12
m
33. 92
Boys = 230 x 2/5 = 92
34. 12 : 35
35. ₱ 171
4 Mangoes = ₱ 38
Dozen and a half = 18
Mangoes
4 : 38 = 18 : P
4P = 38 x 18
P = 684
P = 171
36. 40
37. 93.67 or 93 2/3
38. 9 mins.
6 x 0.3 x 5 = 9
minutes
39. 108 m
40. 5 bags
41. 196 m2
42. 960 liters
V = 10 x 12 x 8
V = 960 dm3
V = 960 liters
43.160 m
44. 33
45. 45o
3 = 1 x 360o = 45o
24 8
46. 12 ( 45, 50-59, 65)
47. 415
bus =
2
5
of 975 = 390
car =
1
5
of 97 –25 = 170
560
public = 975 –560 = 415
48. 86
Aida = 12 + Anna
Anna = Aida - 12
Aida + Anna = 160
Aida + Aida – 12 =160
2Aida = 160 + 12
2Aida = 172
Aida = 86
49. ₱215.50
50. 4,840 m2](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/85/Grade-4-mtap-reviewer-35-320.jpg)
![_________ 30. Rounding me to the nearest hundred makes me 600. Rounding me to the
nearest ten, makes me 630. If the sum of my digits is 13, what number am I?
_________ 31. If 200 m of string is divided into three pieces in the ratio 1:2:5, how long
is the string of middle length?
_________ 32. There are 450 Grade 4 pupils in a school. If 42% of them are girls, how
many Grade 4 boys are there?
_________ 33. If the rations for 24 scouts on a camp can last them for 12 days, how long
will it last if 8 scouts suddenly join them on the first day?
_________ 34. A class has 21 boys. If the ratio of boys to girls in the class is 7:8, how
many pupils are in the class?
_________ 35. What is the best metric unit to measure the height of a flagpole?
_________ 36. Romy’s garden is 23 m long and 18 m wide. What is its perimeter?
_________ 37. What is the area of Romy’s garden in #36?
_________ 38. A farmer began plowing his field at 5:15 A.M. He finished in 5 hours
and 35 minutes. What time did he finish?
_________ 39. A rectangular lot has a perimeter of 156 m. If the width is 34 m,
what is its length?
_________ 40. What is the supplement of the complement of a 38o angle?
_________ 41.One third of the area of a rectangle is equal to
4
5
of the area of a square
of side 15 cm. Find the area of the rectangle.
_________ 42. A circular lagoon has a radius of 32 m. If you walk around it, how many
meters will that be? [Use π = 3.14]
_________ 43. What is the area of the lagoon in #42?
_________ 44. One milk can has a radius of 10 cm and a height of 8 cm. A second milk can
has a radius of 8 cm and a height of 10 cm. How much more milk does
the bigger can hold?
_________ 45. In a game, Joe’s score is 12 points more than David’s. Carlo’s score is
9 points less than David’s. Together, the score of the three is 72.
What is the score of Joe?
_________ 46. A piece of rope is cut into 3 pieces in the ratio 2:3:4. If the middle piece
is 27 m long, how long is the whole rope?
_________ 47. The total surface area of a cube is 216 cm2. Find the length of one side.
_________ 48. Poles are placed 5 m apart along the length of a field 175 m long.
How many poles are there?
_________ 49. Jane noticed that the amount of money she saved doubled each month
for 4 consecutive months. She saved P360 in the fourth month. How much
did she save during the 4 months?
_________ 50. Pam and Ted are each less than 30 years old. Pam is 9 years older than
Ted. Each of their ages is a composite number greater than 10 and do
not have a common factor. How old is Pam?
-2-
2004 Division Orals Metrobank-MTAP-NCR Math Challenge - Grade 4
A. 15-second questions – 2 points each](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-11-2048.jpg)
![_________28. If 382.28 x 100 = 3.8228 x N, what is N?
_________29. A typhoon is moving at a speed of 87 km per hour. At this rate, how far will
the typhoonbe in 4.5 hours?
_________30. 6.07 is equal to how many hundredths?
_________31. What is the ratio of 32 hours to 2 days?
_________32. In a nut mixture, peanuts: cashews: pecans = 5:2:3. How many kilograms
of cashew nuts are in a 50 kg mixture?
_________33. Rosecan type 60 words per minute. At that rate, how long will it take her
to type 540 words?
_________34. What is the average of Liza if she got 92, 89, 85 and 90 in four tests?
_________35. Change
13
20
to percent.
_________36. There are 45 students in a class. One Monday, 20% of the class were absent.
How many students were present?
_________37. A movie lasted for one hour and 45 minutes. It ended at 10:30 p.m.
What time did it begin?
_________38. The perimeter of a square is 48 cm. What is its area?
_________39. The area of a rectangle is 108 cm2. If one side is 12 cm, find the perimeter.
_________40. How many numbers from 30 to 60 contain the digit 3?
_________41. How many square centimeters of plastic will be needed to cover a table
which is 127 cm by 62 cm?
_________42. A jewelry boxis 12 cm by 6 cm by 10 cm. What is the volume of the box?
_________43. A circular flower plot has a radius of 3.5 meters. If you walk 5 times around it,
how many meters will that be? [ π = 3.14 ]
_________44. Find the perimeter of the figure.
12cm
28cm
42cm 12cm
_________45. A lady bought pillow cases at 3 for ₱100 and sold them at 2 for ₱100.
She made a profit of ₱5,000.00 . How many pillow cases did the lady buy?
_________46. Rosehas 12 meters of cloth. If a dish towel requires 5/6 m, how many dish
towels can Rosemake?
_________47. Nelia has 32 foreign stamps. She has
7
4
as many Philippine stamps.
How many stamps in all has she?
_________48. The sum of the digits of a 2-digit number is 12. If the digits are reversed,
the new number is 18 greater than the original number. What is the number?
_________49. Nita made 6 more sampaguita garlands than Liza. Together, they made 132.
How many garlands did Nita make?
_________50. A schoolyard is 106 m long and 67 m wide. If a jogger wants to run 5 km a day,
at least how many times must he run around the yard completely to be sure he
has at least jogged 5 km?
-1-
2006 REGIONAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4
A. 15-second questions – 2 points each](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-22-2048.jpg)
![I. Write the answer on the blank before the number. [ 2 points each] Time: 75 minutes
__________ 1. What is the place value of 3 in 4.01534?
__________ 2. 1.56 is equal to how many hundredths?
__________ 3. What is the difference between 6 dozen dozens and half a dozen dozens?
__________ 4. Write 5.625 as an improper fraction in lowest terms.
__________ 5. What is the tens digit of (100 x 9) + (20 x 9) + (3 x 9)?
__________ 6. A cyclist covered 50 kilometers at a speed of 12.5 km/hr. How long did it take
him to reach his destination?
__________ 7. How many hours and minutes will it take to count a million at an average
rate of 100 numbers a minute?
__________ 8. A car averages 9 km to each liter of gasoline. How many liters (to the nearest
whole number of liters) are needed to make a round trip to another town 278 km away?
__________ 9. How many segments can you name from the figure?
A B C D E F
__________ 10. Miss Cruz needs 2.5 dm of ribbon for each certificate. How many meters of
ribbon does she need to prepare 162 of them?
__________ 11. Beth pays ₱6.00 for a single ride to school. For how many days is ₱100
enough for her transportation?
__________ 12. Two supplementary angles are in the ratio 2:3. Find the bigger angle.
__________ 13. Jane wants to cover all sides of her sewing box which is 25 cm by 16 cm by
8 cm. What is the total surface to be covered?
__________ 14. A group of soldiers and 3 horses passed by. I counted 50 legs in all.
How many soldiers were there?
__________ 15.Lita had 72 stamps. She gave ½ of them to her sister and ½ of the remaining
stamps to her friend. How many stamps remained with her?
II. Solve each problem on scratch paper and write a neat and complete solution on the space
below. Label your answers. [3 points each]
1.I used
1
3
of my money on Sunday and
2
5
of it on Tuesday. I had exactly ₱44.00 left. How much
money had I at first?
2. A rectangular grass lawn is 85 m long and 60 m wide. There is a concrete walk 3 m wide around it
as shown. Find the area of the concrete walk.
1](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-24-2048.jpg)
![3. Two pieces of silver together weigh 55 grams. The two pieces are placed in a balance, one on
each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the
small piece?
4.A car wheel has a radius of 3 ½ dm. How many times, to the nearest whole number, will it turn to
cover a kilometer? [ π =
𝟐𝟐
𝟕
]
5.Lucy uses about
1
3
kg of laundry soap in 5 days. At this rate, about how much laundry soap would
Lucy use a year?
III. Solve each problem on scratch paper and write a neat and complete solution on the space
below. [5 points each]
1. Find the values of A, B and C so that the sum of the numbers in the circles along the same line is
the number in the rectangle.
2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of
A+B will satisfy the given condition? Give 2 pairs of values for A and B.
3. The height of a boy was reported to be 140 cm. The height had been rounded to the nearest 10
cm. If the actual height was a whole number of cm, give all what you think could be his actual height?
2
A
CB 120
137 133](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-25-2048.jpg)
![2007 REGIONAL INDIVIDUAL FINALS Metrobank-MTAP-DepEd Math Challenge
Grade 4
Solve each item and write the answer on the blank before the number.
[ 2 points each] Time: 80 minutes
__________ 1. Express 65% as a fraction in lowest terms.
__________ 2. What is the greatest common factor of 96 and 168?
__________ 3.Change
114
9
to a mixed number with the fraction part in lowest terms.
__________ 4. What is the remainder when 4596 is divided by 19?
__________ 5.By how much is 10
3
8
bigger than 6
7
12
?
__________ 6. A garden is 27 m long and 18 m wide. What is its area?
__________ 7. The ratio of two numbers is 5:9. If the larger is 108, what is the smaller?
__________ 8. How many bags of cement will be needed for a path 62 m long and 2.5 m wide if
one bag of cement is enough to cover 6 square meters of path?
__________ 9. If 12 x 12 x 12 = 16 x N, what is N?
__________ 10. What is the average speed of a train that traveled 448 kilometers in 8 hours?
__________ 11. A car averages 9 km to each liter of gasoline. How many liters (to the nearest
whole number of liters) are needed to make a round trip to another town 178 km away?
__________ 12. Miss Leni needs 3.2 dm of ribbon for each certificate. How many meters of
ribbon does she need to prepare 125 certificates?
__________ 13. Two supplementary angles are in the ratio 7:8. Find the bigger angle.
__________ 14. Joy read 85 pages of her book in 5 days. Her book contains 220 pages. At the
same rate, how many more days does she need to finish reading the book?
__________ 15. One side of a square garden is 17 m long. By how much is the area increased
if each side is increased by 5 m?
II. Solve each problem on scratch paper. Then, write a neat and complete solution on the
space provided . Label all answers. [3 points each]
1. Liza has three 5-peso coins and one 10-peso coin. Ruth has five 5-peso coins and one 10-peso
coin. How much more money do they need to buy an umbrella that costs ₱95.75 for their mother?
2. Two pieces of silver together weigh 55 grams. The two pieces are placed in a balance, one on
each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the
small piece?
-1-](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-26-2048.jpg)
![3. A kilo of oranges cost ₱20.00. It contains about 8 pieces. A vendor bought 30 kilos and sold them
at 3 oranges for ₱10. How much did he gain if he sold all?
4. Letty bought 90 mangoes. If 34 of the mangoes were not ripe, what percent to the nearest whole
percent of the mangoes were ripe?
5.I spent
1
3
of my money in the first store;
1
2
of what remained in the second store. I left the second
store with exactly P90. How much money had I at first?
III. Solve each problem on scratch paper. Then, write a neat and complete solution on
the space provided . Label all answers. [5 points each]
1. Rose received ₱1.60 in change in 5¢, 10¢ and 25¢. She received 17 coins in all. How many of
each kind did she receive?
2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of
A+B will satisfy the given condition? Give any 3 numbers with A and B replaced by digits so that the
sum of the two numbers is divisible by 9.
3. The perimeter of a square is 3 times the perimeter of an isosceles triangle. One side of the square
is 21 cm. The base of the triangle is 1 cm longer than a side. If the height of the triangle is 7.5 cm,
find the area of the triangle.
-2-](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-27-2048.jpg)
![2008 REGIONAL INDIVIDUAL FINALS Metrobank-MTAP-DepEd Math Challenge
Grade 4
I. Solve each item on scratch paper and write the answer on the blank before the number. [2
points each]
__________1.What is 78 more than the sum of 97 and 189?
__________2.2008 – 1993 is equal to 98 – _____ .
__________3.Carol bought 2 dozen pair of socks. If the pair of socks cost P28.50, what is the cost
of 2 dozen pair of socks?
__________4.(77 + 77 + 77) ÷ 7 = 66 ÷ ____ .
__________5.What is the tens digit of (100 x 9) + (30 x 9) + (7 x 9)?
__________6.If today is Wednesday, what day was it 100 days ago?
__________7.What is the smallest 5-digit number not ending in zero?
__________8.What is the smallest number that has 15, 24 and 32 as divisors?
__________9.If 227 is divided by 4, what is the product of the quotient and the remainder?
__________10.If 346 x 5 607 = 1 940 022, what is 34.6 x 56.07?
__________11.What is the difference between 6 dozen dozens and half a dozen dozens.
__________12.How many hours and minutes will it take to count a million at an average rate
of 100 a minute?
__________13.Peter made the smallest possible square with rectangular cards 8 cm by 10 cm.
How many cards did he use?
__________14.A car race started at 3:43 P.M. and ended at 5:57 P.M. At what time was the
race about half finished?
__________15.If the pattern of the name Lizzle, LIZZLELIZZLE . . . continues, what will be the
523rd letter?
II. Solve each item on scratch paper; then write a neat and complete solution on the space
provided. [3 points each]
1.A group of soldiers and 5 dogs passed by. I counted 68 legs in all. How many soldiers were there?
2.Jon planned his practice for a marathon. He will run 1 km the first day, and twice as far each day as
the day before after that. On which day will Jon run more than 20 km?
1](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-28-2048.jpg)
![3.The diameter of a cigarette, 7 cm long is 7.5 mm. How many cigarettes can be packed in a box
which measures 7 cm by 15 cm by 3 cm internally?
4.Write down the odd multiples of 13 from 10 to 200.
5.How many digits are printed by a printer that prints all the numbers from 1 to 728 inclusive?
III. Solve on scratch paper; then write a neat and complete solution on the space provided. [5
points each]
1. A lawn is 45 m long and 30 m wide. There is a path, 5 m wide around it. Make a diagram of the
problem and find the
a. area of the lawn
b. area of the lawn and path
c. the area of the path
d. ratio of the area of the path to the area of the lawn.
2. Ronnie is thinking of a 3-digit number less than 500. If he exchanges the ones and hundreds, the
new number is 396 more. If he exchanges the ones and tens, the new number is 18 more. Find as
many numbers as you can of which Ronnie could be thinking.
3. A fruit-seller bought 5 boxes of oranges at P450 a box. There were 60 oranges in each box. He
threw away 20 rotten oranges. He sold
4
7
of the good oranges at P10 each, and the rest at P9.50
each. How much did he gain?
2](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-29-2048.jpg)
![ANSWER KEYS
GRADE 4
2007 Division Team
Competition
A. 15-second questions
1. 7 x 13
2. 17,000
3. 4170
4. 88
5. 11, 12
6. 5 ¾
7. 8
8. 29/5
9. 3.2
10.48
11.22 500
B. 30-second questions
1. Lyn
2. 16
3. ¾ h
4. 10
1
3
5. ₱48
6. 120 cm
C. 1-minute questions
1. 15 chickens,6 pigs
2. ₱1,050
3. ₱15.20
4. 209
5. 19.25 m2
6. 49
Clincher questions
1. 3
2. 50.61
3. 5, 13
Do-Or-Die questions
1. 9
~~~~~~~~~~~~~~~~~~~~~~
2008 Division Orals
A. 15-second questions
1. 144
2. 10
3. 980
4. 60
5. 2
6. 101
7. 21
8. 24
9. 9, 15
10.45
11.30
B. 30-second questions
1. 18 cm
2. 7
3. 7
4. 9
5. 179
6. 42 ½
C. 1-minute questions
1. ₱120
2. 4.8 cm by 6.4cm
3. 36
4. 54 km
5. 7 [1 pack of 10 and 6
packs of 15]
6. Becomes 9 times
Clincher questions
1. 45 years
2. 6
3. 1080
Do-Or-Die questions
1. 4
~~~~~~~~~~~~~~~~~~~~~
2005 Regional Finals
A. 15-second questions
1. 68%
2. 44
3. 165
4. 54
5. ₱200
6. 50
7. 10
8. 72
9. 70
10.1/3
11.12 min
B. 30-second questions
1.
65
8
2. ₱680
3. 84
4. 142 ½ m
5. 37
6. 697
C. 1-minute questions
1. 32 m
2. ₱128
3. 6:42 P.M.
4. 36 km/h
5. 44m2
Clincher questions
1. 4
2. ₱382.50
3. 1872 cm2
Do-Or-Die questions
1. 45, 60, 75, 90
~~~~~~~~~~~~~~~~~~~~~~
2006 Regional Finals
A. 15-second questions
1. 45
2. 5
3. 11
4. 40 m
5. 4.251
6. 4.5 kg
7. 90
8. 16
9. 30
10.17, 18 or 19,
accept one
11.9, 13
B. 30-second questions
1. 27+28+29
2. 3.8
3. 5384
4. 66
5. 40
6. 90
C. 1-minute questions
1. 4988
2. ₱200
3. 60
4. 216 m2
5. ₱45
6. 26](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-33-2048.jpg)
![Answer Key Grade 4
2004 – ELIMINATION
1. 24,000
2. 15
3. 2,078,605
4. 3000
5. 16
6. 108
7. 9 zeroes
8. 70,693
7 x 104 = 70,000
6 x 102 = 600
9 x 10 = 90
3 = 3
70,693
9. <
10. c. 26 = 13 x 2 x 1
11. 6 and 16 24. 15.7 m
x = 1st number
22 –x = 2nd number
product = 96
= 2 x 2 x 2 x 2 x 2 x 3
Factors Sum
1 x 96 97
2 x 48 50
3 x 32 35
4 x 24 28
6 x 16 22
8 x 12 20
12. 1,479
13. 1 = 56,N78
5 + 6 + N + 7 + 8 =
26 + N
N = 27 – 26
N = 1
14. 22 x 32 x 5 x 7
15. 41,574
16. 4
17. 3,500
3000 + 4000 = 3500
2
18. 3,116
19. 318
17 pages
x 18 stamps/pg
=306
18th pg. + 12
318
20. 13
21. Subtract
22. 40
x= smaller
x+16=bigger
x : x+16=3 : 5
3(x+16)=5x
3x+48=5x
48=2x
24=x
23. .25 cm : 9 dm
.25 cm = 90 cm
[ ¼ cm = 90 cm] 4
1cm = 360 cm
24. 15.7 m
30 m – (55 x 0.26m)
30 m–14.30 = 15.70m
25. 7400
26. 20
6
2
3
=
20
3
÷
1
3
=20
27.
103
12
28. 11
7
11
29.
11
13
30.
3
4
54 = 2 x 3 x 3x 3 = 3
72 2 x 2 x 2x 3 x 3 4
31. 10
5
12
m
32. 2
5
12
m
33. 92
Boys = 230 x 2/5 = 92
34. 12 : 35
35. ₱ 171
4 Mangoes = ₱ 38
Dozen and a half = 18
Mangoes
4 : 38 = 18 : P
4P = 38 x 18
P = 684
P = 171
36. 40
37. 93.67 or 93 2/3
38. 9 mins.
6 x 0.3 x 5 = 9
minutes
39. 108 m
40. 5 bags
41. 196 m2
42. 960 liters
V = 10 x 12 x 8
V = 960 dm3
V = 960 liters
43.160 m
44. 33
45. 45o
3 = 1 x 360o = 45o
24 8
46. 12 ( 45, 50-59, 65)
47. 415
bus =
2
5
of 975 = 390
car =
1
5
of 97 –25 = 170
560
public = 975 –560 = 415
48. 86
Aida = 12 + Anna
Anna = Aida - 12
Aida + Anna = 160
Aida + Aida – 12 =160
2Aida = 160 + 12
2Aida = 172
Aida = 86
49. ₱215.50
50. 4,840 m2](https://image.slidesharecdn.com/grade4mtapreviewer-150331215222-conversion-gate01/75/Grade-4-mtap-reviewer-35-2048.jpg)
Uploaded byEclud Sugar
Grade 4 mtap reviewer
This document contains a series of math problems for Grade 4 students, specifically designed for the Metrobank-MTAP-DepEd Math Challenge. It includes a variety of questions covering topics such as number rounding, ratios, basic arithmetic operations, and geometric calculations. Students are instructed to solve these problems on scratch paper and write their answers in the provided blanks.
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Similar to Grade 4 mtap reviewer
Grade 4 mtap reviewer
- 1. Grade 4 Metrobank MTAP DepEd Math Challenge Courtesyby: Pids Nogales Files Prepared by: Dulce Buenaventura 2004 - ELIMINATION Metrobank-MTAP-DepEd Math Challenge Grade 4 Solve each item on scratch paper and write the answer on the blank. _________1. Round 23,503 to the nearest thousand.
- 2. _________2. What isthe remainder when 7 893 is divided by 26? _________3. Write two million, seventy-eight thousand, six hundred five in figures. _________4.3 million is equal to how many thousands? _________5.What is the biggest common divisor of 32 and 48? _________6.What is the smallest common multiple of 36 and 54? _________7. How many zeros are used in writing 2 billion? _________8. Write 7 x 104 + 6 x 102 + 9 x 10 + 3 as one number? _________9. Choose <, = or > to make 365 + 287 _____ 538 + 123 a true sentence. _________10.Which of the following has three unequal prime factors? a. 18 b. 24 c. 26 d. 30 _________11. Find two numbers whose sum is 22 and whose product is 96. _________12.What number is 57 less than the product of 32 and 48? _________13. What digit is N if 56,N78 is divisible by 9? _________14. Express 1260 as a product of prime factors using exponents. _________15.What is the smallest even number greater than 40,000 containing 7, 5, 4, 4, 1? _________16.How many periods does 55 billion have when written in figures? _________17.What number is half-way between 3000 and 4000? _________18.A supervisor of a supermarket took an inventory of its canned goods. The store had (5 x 102 + 7) cans of sardines, (2 x 103) cans of tomato sauce and (6 x 102 + 9) cans of milk. How many canned goods did the supermarket have?. _________19. Ricky collects stamps. He puts 18 stamps on each page of his album. If 17 pages are full and there are 12 on the 18th page, how many stamps has Ricky? _________20.Apples cost ₱7.50 each. How many can you buy if you have ₱100? _________21.The letters of a math word are jumbled into CABSTRUT. What is the word? _________22.Two numbers have a ratio of 3:5 and one number is 16 more than the other. Find the bigger of the two numbers. _________23.What is the ratio of .25 cm to 9 dm? ___________24.Rita has 30m of ribbon. She cut 55 pieces each 2.6 dm long. How many meters of ribbon remain? _________25.What is the multiple of 100 nearest to 7382? _________26.6 2 3 is equal to how many thirds? _________27. Change 8 7 12 to an improper fraction. _________28. Change 128 11 to a mixed number. _________29.Which is greater, 11 13 or 16 19 ? _________30. Reduce 54 72 to lowest terms. ( 1 ) _________31.Nita bought 4 2 3 m of blue cloth and 5 ¾ m of white cloth. How many meters of cloth did Nita buy? _________32.Nita used 3 1 3 m of white cloth to make blouses. How much white cloth remained? _________33.In a school, there are 230 Grade 4 students. If 3 5 of the Grade 4 students are girls,
- 3. how many Grade4 boys are there? _________34.There are 12 red balls, 9 blue balls and 14 white balls in a box. What is the ratio of the red balls to all the balls? _________35.Mother bought 4 mangoes for ₱38. At the same rate, how much will a dozen and a half of the mangoes cost? __________36. If 4 : 5 = 32 : n, what is n? _________37.Sally got 95, 92, 96, 94, 95 and 90 on six math tests. What was her average score on the six tests? _________38.For an hour of a particular TV show, 6 commercials, each averaging 0.3 minute are shown five times during the hour. During an hour of the show, how much time is given to commercials? _________39.Mr. Manuel owns a rectangular lot that is 32 m long and 22 m wide. How many meters of fencing material does he need for it? _________40.A path 12 m long and 1.5 m wide is to be paved. If a bag of cement covers 4 m2, how many bags of cement must be bought? _________41.A square garden has a perimeter of 56 m. What is its area? _________42.A tank is 12 dm long, 8 dm wide and 10 dm deep. If 1 dm3 = 1 liter, how many liters of water does the tank contain when full? _________43.What is the perimeter of the figure? 20m 32m 15m 48m _________44.There are 44 students in a class. One stormy day 25% of them were absent. How many were present? _________45.Rose made a circle graph of how she spends one day. If she studies 3 hours a day, how many degrees will represent study? _________46.How many numbers from 40 to 70 contain the digit 5? _________47.There are 975 students in a school. If 2 5 of them take a school bus, 25 less than 1 5 of them come by private car and the rest take public transportation, how many take public transportation? _________48.Aida made 12 more sampaguita garlands than Anna. Together, they made 160 garlands. How many did Aida make? _________49.Nita has ₱78.50; Rosa has twenty pesos less than twice as much. How much money do the two girls have together? _________50.A grass lawn is 80 m long and 68 m wide. Four rectangular flower plots, each 15 m by 10 m, are found near each corner. What is the area covered by the grass? ( 2 ) 2005 – ELIMINATION Metrobank-MTAP-DepEd Math Challenge Grade 4 Solve each item on scratch paper and write the answer on the blank.
- 4. _________1.Write two million,forty-six thousand, eighty-nine in figures. _________2.What is the place value of 8 in 45, 836,025? _________3.What is the value of 7 in 5,874,345? _________4.45,000,000 + 763,000 + 854 = ____ _________5.How many thousands are there in 54 million? _________6.Write 6 x 104 + 7 x 103 + 9 x 10 + 6 as one number. _________7.Using 0, 1, 2, 4 and 5, write the smallest 5-digit number possible. _________8.What is the largest 4-digit even number less than 5,000? _________9.Round 23,952 to the nearest hundred. _________10.Round to the nearest hundred and estimate: 561 + 449 + 751. _________11.Which of { <, =, > } will make 345 + 178 ____ 354 + 168 a true sentence? _________12.Find two numbers whose sum is 21 and whose product is 98? _________13.What number is 38 less than the product of 18 and 25? _________14.What is the biggest digit that can be placed in 65,__72 to make it divisible by 3? _________15.Express 1,248 as a product of its prime factors. _________16.What is the greatest common factor of 54 and 72? _________17.What is the smallest common multiple of 54 and 72? _________18.What is the average of 2,500 and 4,500? _________19.What can be added to 346 to get 721? _________20.What is the multiple of 1000 nearest to 24,865? _________21.4 2/5 is equal to how many tenths? _________22.How many prime numbers are there between 10 and 30? _________23.How many even numbers are there from 21 and 41? _________24.What is the remainder when 5,789 is divided by 27? _________25.What two numbers have a sum of 18 and a product of 56? _________26.The product of two numbers is 36 and their sum is 13. What is their difference? _________27.The price of a candy is 65 centavos. How many can Lina buy with her ₱15? _________28.Change 58 9 to a mixed number. _________29.Change 5 3 7 to an improper fraction. _________30.Joy cut some pizzas into 6ths. After serving 28 pieces, she had 14 pieces left. How many pizzas did she cut? _________31.How many pieces of ribbon each 2.4 dm long can be cut from a 10-m roll of ribbon? ( 1 ) _________32.What is the ratio of 36 cm to 9 dm? _________33.Apples cost ₱9 each. How many can you buy with ₱200? _________34.Which is greater, 11 14 or 15 19 ?
- 5. _________35.Jan has aboard 50 cm long. He wants to cut it into 8 equal pieces. How long will be each piece? _________36.Nancy had 48 stamps. She gave 1 6 of them to Liza and ¼ to her sister. How many stamps remained with Nancy? _________37.In a school, there are 156 scouts. If ¼ of them are cub scouts, how many are not cub scouts? _________38.A movie is 2 ¼ hours long. If it ended at 10:30 P.M., what time did it start? _________39.If 3:4 = 24:N, what is N? _________40.Roy’s garden is 18 m long and 13 m wide. How much fencing material does he need for it? _________41.What is the area of Roy’s garden? _________42.A room is 5 m long, 4 m wide and 3 m high. How much air does it enclose? _________43.There are 960 pupils in a school. One stormy day, 15% of them were absent, how many were present? _________44.Tito has 12 fewer stamps than Marlon. Together, they have 136 stamps. How many stamps has Marlon? _________45.Nina bought a pair of shoes and a bag. The pair of shoes cost ₱15 more than four times as much as the bag. Together, the shoes and bag cost ₱485. How much did the pair of shoes cost? _________46.After reading a part of her book, Rita left the book open at a part where the sum of the page numbers on the two facing pages was 225. What was the page number on the left hand side? 15m _________47.What is the perimeter of the figure? 26m 45m _________48.What is the area of the figure? 42m _________49.Jennifer wrote her name fifty times on a long piece of tape without any space between her written name. What letter was the 100th space? _________50.The product of two whole numbers is 10,000. Neither of the two numbers contains a zero last digit. What are the two numbers? ( 2 ) 2006 – ELIMINATION Metrobank-MTAP-DepEd Math Challenge Grade 4 Solve each item and write the answer on the blank before the number.
- 6. _________1.Write fifteen million,seventy thousand, seven hundred eight in figures. _________2.What is the place value of the underlined digit 654 321? _________3.What is the value of 6 in 698,425? _________4.Write CDXLIV in Hindu-Arabic. _________5.What number is 4756 more than 45,244? _________6.8,540,000 is how many times as great than 8,540? _________7.Write 5x104 + 6x103 + 8x102 + 9 in standard form. _________8.What is 37 more than the quotient of 848 divided by 16? _________9.What is the largest prime number less than 60? _________10.How many even numbers are there between 51 to 99? _________11.What is the greatest common factor of 36 and 84? _________12.The least common multiple of 36 and 84. _________13.19 x 2 + 45 ÷ 9 – 12 = _______ _________14.Find two numbers whose sum is 18 and whose product is 72. _________15.What is the remainder when 7541 is divided by 22? ___________16.Greg started doing his homework at 8:45 p.m. and finished at 10:30 p.m. How many minutes did he spend doing his homework? _________ 17. Write a digit on the blank to make 34,75__ divisible by 9. _________ 18. Express 360 as a product of prime factors. _________ 19. Josie brought a bottle of milk for ₱112.50 and a box of coffee for ₱96.50. How much change did she get from a ₱500-bill? _________ 20. When written in full, how many digits are there in 6.5 x 107? _________ 21. If 1 is excluded, how many common factors do 48 and 64 have? _________ 22. A vendor sold ¾ of his sampaguita garlands and had 27 left. How many garlands had he at first? _________ 23. 5.36 is equal to how many hundredths? _________ 24. How many 0.125-kg bags of sugar can be filled from a 50-kg bag? _________ 25. The perimeter of a square is 52 cm. What is the area? _________ 26. What is the ratio of a decade to a century? _________ 27. If n:8 = 42:56, what is n? _________ 28. Subtract 4.32 from 8 and add the difference to 3.64 { 1 } _________ 29. The perimeter of an equilateral triangle is 51 cm. How long is one side? _________ 30. The area of a rectangle is 189 cm2. If the width is 9 cm, find its length.
- 7. _________ 31.A merchanthad a 33 1/8 m roll of cloth. He sold 12 ½ m of it. How much cloth remained? _________ 32.Roy brought 15 ¾ m of string to the camp while Steve brought 12 2 3 m of string. How much string did the two bring? _________ 33.Write 3 5 as percent. _________ 34. The perimeter of an isosceles triangle is 57 cm. If one of the equal sides is 18 cm, how long is the base? _________ 35. A can of paint is needed for 25 m2 of wall. If a wall is 40 m long and 2.5 m high, how many cans of paint must be bought? _________ 36. The scale of the floor plan of a newly built house is 2 cm to 3 m. If the room is 13 cm long on the plan, how long is the actual room? _________ 37. How many whole numbers, including 50, round to 50 to the nearest 10? _________ 38. Peter's test scores are 84, 86, 90 and 87. What is the average? _________ 39. Round 65.355 to the nearest hundredth. _________ 40. Ricky and Lucky had a combined time of 5 minutes 32 seconds in a relay where both swam 800 meters. If Ricky's time was 2 minutes and 46 seconds, what was Lucky's time? _________ 41.Tammy has 138 stamps. 1 3 are American stamps and 1/6 are Canadian stamps. The rest are Philippine stamps. How many Philippine stamps has he? _________ 42. Simon walked 6 ½ km in one hour. How far can he walk in 1 ½ hours? _________ 43. I have ₱16.75 in my wallet. The money is in 5-peso, 1-peso and 25¢-coins. If there are 14 coins, how many 25¢ coins are there? _________ 44. Yolly sliced pineapples into eighths. After giving 18 slices to her friends, she has 14 pieces left. How many pineapples did she cut? _________ 45. Lito has ₱100. If his round trip fare is ₱15, how many round trip fares can he pay for with his money? _________ 46. If B = 95o, what kind of angle is it? _________ 47. What is the sum of the reciprocals of 2, 3, and 4? _________ 48. January 1 is a Thursday, and January has 31 days. What day of the week is Valentine's day? _________ 49. For every 5 garlands that Kate can make, Letty can make 8. If for one day, together they can make 169 garlands, how many can Kate make in one day? _________ 50. What is the sum of the numbers from 1 to 25? { 2 } 2007 – ELIMINATION Metrobank-MTAP-DepEd Math Challenge Grade 4
- 8. Solve and writethe answer on the blank before each number. _________ 1. Write “four billion, two million, fifty thousand, six hundred fifty” in figures. _________ 2. What is the value of 3 in 637,605,798? _________ 3. Round each addend to the nearest thousand and estimate the sum of 6582 + 4299. _________ 4. Form the largest and smallest 4-digit number you can make with 1, 6, 4 and 8 and get their difference. _________ 5. With no digits alike, what is the smallest 6-digit number? _________ 6. Rounding me to the nearest 10 makes me 750. The sum of my digits is 17, what number am I? _________ 7. What is 17 more than twice the sum of 14 and 18? _________ 8. Find two numbers with a product of 54 and a difference of 3. _________ 9. Which of the following is divisible by 6? a. 6 748 b. 7 658 c. 7 758 d. 8 758 _________ 10. Find the product of the first 4 prime numbers. _________ 11.Write 15 56 1000 as a decimal. _________ 12. Write 6.75 as a mixed number with the fraction part in lowest terms. _________ 13.Change 8 7 12 to an improper fraction. _________ 14.Change 133 13 to a mixed number. _________ 15.How many 24ths are there in 2 3 8 ? _________ 16. Round 78.0876 to the nearest hundredth. _________ 17. Round 8.82965 to the nearest thousandth. _________ 18. What is the ratio of 45 dm to 8.5 m? _________ 19. What is the ratio of 850g to 1.5 kg? _________ 20. If 4:9 = 48:N, what is N? _________ 21. Write 1050 as a product of its prime factors. _________ 22. What is the GCF of 120 and 150? _________ 23. What is the LCM of 120 and 150? ___________ 24. What is the biggest digit that you can put in the blank of 6__666 to make it divisible by 3? _________ 25. Liza has 265 sampaguita garlands to sell. In the afternoon, she had 18 garlands left. How many did she sell? _________ 26. Roy gathered 915 mangoes. He put them 70 mangoes to a basket. How many baskets did he use? _________ 27. Noni bought 3 sign-pens at ₱28.45 each and 3 notebooks at ₱14.50. How much did she spend in all? _________ 28. If Noni gave the cashier a ₱500-bill, how much change did she get? 1 _________ 29. The length of a rectangle is 32.4 cm. and its width is 18.6 cm. What is its perimeter? _________ 30. What is the area of the rectangle in #29?
- 9. _________ 31. Apair of shoes was marked ₱950.00. Rose bought a pair with a discount which is 1 10 of the marked price. How much did she pay? _________ 32. Amy’s pocket money a week is ₱120. She spends ₱103.50 and saves the rest. How much does she save in 6 weeks? _________ 33. A vendor bought 90 pineapples at ₱16.00 each. He sold them at ₱25 each. How much did he gain if he sold only 87? _________ 34. How many centimeters are there in 3.55 meters? _________ 35. How many meters are there in 107 decimeters? _________ 36.If a family spends 2 5 of its monthly income ₱14,500 on food, how much do they spend on food? ___________ 37. An aquarium is 7dm long, 4 dm wide and 5 dm high. How many liters of water does it contain when it is 4/5 full? _________ 38. What is 35% of 950? _________ 39. What is the complement of an angle of 38o? _________ 40. All gasoline prices decreased by 10%. If the price before was ₱34.50, how much was it after the decrease? _________ 41. The base of an isosceles triangle is 7cm more than a leg. If the perimeter is 52cm, what is the length of the base? _________ 42. An angle is 10o more than its supplement. Find the angle. _________ 43. The electric wire between 19 electric posts is 720 m long. What is the distance between the posts? _________44.When I open my Math book, two pages face me. If the sum of the pages is 97, what is the bigger of the two page numbers? _________45.In a Grade 4 class, there are 15 girls. If there are twice as many boys, how many students are in the class? _________46.If I have 8 sets of cups and each set contains 12 cups, how many cups do I have? _________47.Inside, a box is 6 dm long, 4 dm wide, and 3.2 dm high. How many pieces of soap, 10 cm long , 8 cm wide, and 6 cm thick can be packed into it? _________48.A block of wood is 7 dm long, 5 dm wide and 2.5 dm thick. It is cut into small cubes of edge 5 cm. How many cubes can be cut from it? _________49.A wooden crate containing 36 papayas weighs 30kg. If 24 of the papayas are removed, the weight of the box and the remaining papayas is 10.8 kg. What is the weight of the crate if all the papayas weigh about the same? _________50.A farmer bought 85 kg of fertilizer in 12 bags. Some are 5-kg bags. The rest are 10-kg bags. How many 5-kg bags did he buy? 2 2008 – ELIMINATION Metrobank-MTAP-DepEd Math Challenge Grade 4 Solve each item and write the answer on the blank before the number.
- 10. _________1.What is thevalue of 3 in 73 810 455? _________2.What is the place of 8 in 73 810 455? _________3.Write 5 x 105 + 7 x 104 + 8 x 102 + 6 x 10 + 3 as one number. _________4.Write the smallest number using all of 4, 9, 6, 0, 7, 1. _________5.Round 458.5826 to the nearest hundredth. _________6.Write twenty-five and sixty-five thousandths. _________7.What is the remainder when 3576 is divided by 27? _________8.What number is 3 times the sum of 32, 45 and 26? _________9.What is the biggest remainder when any number is divided by 10? _________10.I am thinking of a number greater than 30 but less than 40 that can be divided exactly by 7. What is my number? _________11.The number 338 928 is not divisible by which of the numbers 2, 3, 4, 6, 7 and 8. _________12.Which of 111, 123, 183, 201, 239, 348 is a prime? _________13. Write 1 148 as a product of its prime factors using exponents. _________14.What is the greatest common factor of 156 and 260? _________15.What is the least common multiple of 156 and 260? _________ 16.Reduce 84 108 to lowest terms. _________ 17.Change 6 5 13 to an improper fraction. _________ 18.Change 76 14 to a mixed number with the fraction part in lowest terms. _________ 19.Which is greater 7 12 or 9 14 ? _________ 20.Mother bought 2 ¼ dozen eggs. She used 1 2 3 dozens to make sweets. How many eggs remained? _________ 21.The average weight of Larry and Martin is 50 2 3 kilos. If the weight of Larry is 54 ½ kilos, find the weight of Martin. _________ 22.The result of dividing a number by 3 1 9 is 3 3 7 . What is the number? _________ 23. What is the sum of the smallest and the largest among 0.32,0.302, 0.7, 0.699, 0.649? _________ 24. What will you add to 1506 to get 2500? _________ 25. What is 457.8 + 1000? _________ 26. In 5 days, Lina had a total of 15.5 hours of overtime. What was her average daily overtime? _________ 27. The ratio of boys to girls in a class is 3 : 4. If there are 42 pupils in the class, how many are girls? -1- _________ 28. If 15 : 25 = N : 40, what is N? _________ 29. In a barangay, there are 56 children below 18 years of age for every 100 people. What is the ratio of children to adults?
- 11. _________ 30. Roundingme to the nearest hundred makes me 600. Rounding me to the nearest ten, makes me 630. If the sum of my digits is 13, what number am I? _________ 31. If 200 m of string is divided into three pieces in the ratio 1:2:5, how long is the string of middle length? _________ 32. There are 450 Grade 4 pupils in a school. If 42% of them are girls, how many Grade 4 boys are there? _________ 33. If the rations for 24 scouts on a camp can last them for 12 days, how long will it last if 8 scouts suddenly join them on the first day? _________ 34. A class has 21 boys. If the ratio of boys to girls in the class is 7:8, how many pupils are in the class? _________ 35. What is the best metric unit to measure the height of a flagpole? _________ 36. Romy’s garden is 23 m long and 18 m wide. What is its perimeter? _________ 37. What is the area of Romy’s garden in #36? _________ 38. A farmer began plowing his field at 5:15 A.M. He finished in 5 hours and 35 minutes. What time did he finish? _________ 39. A rectangular lot has a perimeter of 156 m. If the width is 34 m, what is its length? _________ 40. What is the supplement of the complement of a 38o angle? _________ 41.One third of the area of a rectangle is equal to 4 5 of the area of a square of side 15 cm. Find the area of the rectangle. _________ 42. A circular lagoon has a radius of 32 m. If you walk around it, how many meters will that be? [Use π = 3.14] _________ 43. What is the area of the lagoon in #42? _________ 44. One milk can has a radius of 10 cm and a height of 8 cm. A second milk can has a radius of 8 cm and a height of 10 cm. How much more milk does the bigger can hold? _________ 45. In a game, Joe’s score is 12 points more than David’s. Carlo’s score is 9 points less than David’s. Together, the score of the three is 72. What is the score of Joe? _________ 46. A piece of rope is cut into 3 pieces in the ratio 2:3:4. If the middle piece is 27 m long, how long is the whole rope? _________ 47. The total surface area of a cube is 216 cm2. Find the length of one side. _________ 48. Poles are placed 5 m apart along the length of a field 175 m long. How many poles are there? _________ 49. Jane noticed that the amount of money she saved doubled each month for 4 consecutive months. She saved P360 in the fourth month. How much did she save during the 4 months? _________ 50. Pam and Ted are each less than 30 years old. Pam is 9 years older than Ted. Each of their ages is a composite number greater than 10 and do not have a common factor. How old is Pam? -2- 2004 Division Orals Metrobank-MTAP-NCR Math Challenge - Grade 4 A. 15-second questions – 2 points each
- 12. __________1. What isthe value of 9 in 496,235? __________2. What number times 7, plus 18 equals 81? __________3. One-half kg of chicos cost ₱20. If there are 6 pieces, how much will 2 ½ dozens of the same size cost? __________4. The perimeter of a regular hexagon is 108 dm. How long is one side? __________5. In a party, the ratio of boys to girls is 2:3. If there are 30 boys, how many girls are there? __________6. Give all the prime numbers between 10 and 20. __________7. Ponkans cost ₱6 each. How many can you buy for ₱100? __________8. What is the remainder if 279 is divided by 13? __________9. What two factors of 48 have a sum of 19? __________10. What two numbers have a sum of 35 and a difference of 7? __________11. What is the biggest prime number less than 80? B. 30-second questions – 3 points each. Use π =3.14 __________1. The perimeter of a rectangle is 86m. If one side is 16m, what is the other side? __________2. A circular tablecloth has a diameter of 15 dm. What is its circumference? __________3. There are 100 oranges in a box. If 15 children get the same number of oranges, how many oranges will be left? __________4. Rose bought a blouse marked ₱160 at a 15% discount. How much did she save by buying it during a sale? __________5. A lot measures 10m by 15m. On a plan using a scale of 1 cm : 2 m, what is the area of the lot on the plan? __________6. What is the total surface area of a cube of side 12 cm? C. 1-minute questions – 5 points each __________1. A can of powdered milk has a diameter of 20 cm and a height of 22 cm. What volume of milk does it contain? __________2. I am a 3-digit number. My hundreds digit is 2 less than my tens digit and my ones digit is 2 more than my tens. What number am I if the sum of my digits is 15? __________3. On a christmas tree, the ratio of yellow lights to green lights to red lights is 1 : 2 : 3. If there are 1,500 lights, how many green lights are there? __________4. A vendor sold 491 kg of chicos and 273 kg of oranges. He sold 65 kg more of mangoes than oranges. How many more kg of chicos than mangoes did he sell? __________5. Rica is painting dots on a box. There are 12 dots in the first row,16 dots in the second row, 20 dots in the third row. If the pattern continues, how many dots will be in the seventh row? __________6. Find the sum of 2 + 4 + 6 + … + 58 + 60 Clincher questions __________1. How many multiples of 4 are there between 15 and 35? __________2. Use exponents to express 396 as a product of its prime factors. __________3. A bottle weighs 15 grams when empty, 25 grams when full of water and 23 grams when full of alcohol. What is the ratio of equal volumes of water and alcohol? Do-Or-Die questions __________1. A car uses 9 liters of gasoline for a distance of 80 km. How many liters will be needed for a round to a city 140 km away? __________2. A small embroidery factory can finish 10 dozen pairs of pillow cases in one day. The company received an order for 2000 pairs of pillow cases. How many days, to the nearest whole number of days, will the company need to fill in the order? 1 2005 Division Orals Metrobank-MTAP-NCR Math Challenge - Grade 4 A. 15-second questions – 2 points each __________1. What is the ratio of 18 boys to 27 girls?
- 13. __________2. What isthe largest 4-digit even number? __________3. Add 8 to 17 and subtract the sum from 60. __________4. Write the Roman numeral CCLXXXIV in Hindu-Arabic. __________5. Round 24,530 to the nearest thousand. __________6. If 3 notebooks cost ₱20.50 how much will a dozen cost? __________7. What is 37 more than the product of 8 and 12? __________8.What is 𝟑 𝟕 of 84? __________9. A square has a perimeter of 60 cm. Another square has a side twice as long as the first square. What is its perimeter? __________10. From the digits 5, 2, 4 and 7, form the largest 3-digit number. __________11. What is the largest 4-digit odd number? B. 30-second questions – 3 points each __________1. Write the smallest 5-digit number from the digits 4, 7, 6, 0, 9, 5. __________2. Ronnie bought a hamburger for ₱15.75, a glass of juice for ₱13.50 and a pack of potato fries for ₱12.35. How much change did he get from a ₱100-bill? __________3. Find the perimeter of a triangular lot whose sides are 8.5m,11.75m, and 15.2m. __________4. Round 785,349 to the nearest ten thousand. __________5. A rectangular garden is 7m wide. The length is twice the width. What is its area? __________6. A farmer gathered 6 baskets of chicos each basket weighing 16kg, and 7 baskets of oranges each basket weighing 19 kg. How many kg of fruits did he gather? C. 1-minute questions – 5 points each __________1. A pair of shoes marked ₱750 was bought at 15% discount. How much was paid for it? __________2. A size 8 t-shirt costs ₱85, while a size 14 t-shirt costs ₱105. Mother bought 4 of each size. How much change did she get from a ₱1000-bill? __________3. A school is 42 km from a church. A mall is between them. The distance of the mall from the church is 6 times its distance from the school. How far is the mall from the school? __________4. There are 5 Grade 4 classes in a school with 60 pupils in each class. If the ratio of boys to girls is 2:3, how many girls are there? __________5. A 24-shots roll of film costs ₱85. Allan has to buy all the films he needs to take 84 shots from their graduation. How much change will he get from a ₱500-bill? __________6. I am a 4-digit even number. My hundreds digit is 5. The sum of my ones and tens is equal to my hundreds digit. My thousands digit is 3 more than my hundreds digit. What numbers can I be? Clincher questions __________1. The perimeter of a square garden is 200 meters. How long is one side? __________2. The ratio of two numbers is 3:4. If the sum is 105, what is the bigger number? __________3. Marie has 15 coins consisting of one-peso and 25¢ coins. There are twice as many 25¢ coins as one-peso coins. How much money has she? Do-Or-Die question __________1. A piggy bank contains 60 coins of 1 peso and 5 peso coins. If the total value of the coins is ₱140, how many of each coin are there? -1- 2008 Division Orals Metrobank-MTAP-NCR Math Challenge - Grade 4 A. 15-second questions – 2 points each
- 14. __________1. What isthe product of 24 and 32? __________2. How many numbers from 30 to 70 are divisible by 4? __________3. What is the product of the smallest 2-digit even number and the largest 2-digit even number? __________4. What is smallest positive number that is divisible by 4, 6 and 15? __________5. What is the remainder when you divide 327 and 25? __________6. What is the prime number next to 97? __________7. For every 3 boys, there are 5 girls. For 35 girls, how many boys are there? __________8. A vendor has 5 dozen mangoes in a basket. After selling 3 5 of them, how many mangoes are left? __________9. Find two numbers whose sum is 24 and whose product is 135. __________10. What number divided by 5, then multiplied by 8 gives 72 as the result? __________11. What is the greatest common factor of 60, 90 and 120? B. 30-second questions – 3 points each __________1. A rectangle is 35 cm long. If the perimeter is 106 cm, what the width? __________2. What is the remainder when 1088 is divided by 47? __________3. The cube of a 2-digit number 5A is 185 193. What is A? __________4. Nena needs 2 ½ dozen ribbons for her class. If she needs 30 cm for each ribbon, how many meters of ribbon has she to buy? __________5. How much more is 35 than 43? __________6. Nelie spends 17 hours in a 2-week period practicing on the piano. How many hours does she practice in 5 weeks? C. 1-minute questions – 5 points each __________1. Ched spent 1 4 of her money, then gave 1 3 of what was left to her brother. She had P60 left. How much had she at first? __________2. A picture is enlarged to 4 times its original dimensions. If the new dimensions are 19.2 cm by 25.6 cm, what were the original dimensions? __________3. Of 96 pupils who took a qualifying test, 7 8 passed. Of those who passed, 3 7 had previously failed. How many of those who passed failed before? __________4. A faulty car meter records 36 km for a journey of 42 km. What distance will it record for a distance of 63 km? __________5. Chocolate bars come in packs of 10 and 15. If you need 100 bars, what is the least number of packs that you need to buy? __________6. If each side of a square is tripled, what happens to its area? Clincher questions __________1. Mike is 12 years old. This is 3 years less than 1 3 his father’s age. How old is his father? __________2. How many factors, including 1, do 36 and 48 have? __________3. Find the smallest positive integer that has 8, 30 and 54 as factors. Do-Or-Die questions __________1. If 4a + 5b + 7c = 13 and 4a + 3b + c = 19, what is a+b+c? -1- 2006 Division Team Competition Metrobank-MTAP-NCR Math Challenge - Grade 4 A. 15-second questions – 2 points each __________1. What is the remainder when 3628 is divided by 12?
- 15. __________2. Write insymbols: "13 more than twice a number n". __________3. What is the value of 22 + 36 ÷ 4 – 5 x 5? __________4.How much more is 𝟐 𝟑 of 48 than 𝟐 𝟑 of 24? __________5. The ratio of two numbers is 3:8 and their sum is 99. Find the bigger number. __________6. What is the 10th number in the pattern 15, 23, 31, ___, 47, ____? __________7.Which is greater, 𝟓 𝟒 or 𝟏𝟑 𝟏𝟎 ? __________8. The sum of two angles of a triangle is 112o. What is the third angle? __________9. An athlete ran 18.2 km in 7 days. Find the average distance he ran each day? __________10. If 6 x (n + 2) = 66, what is n? __________11. Round 75.9998 to the nearest thousandth. B. 30-second questions – 3 points each __________1. What is 16 less than twice the sum of 84 and 57? __________2. An LRT train has 5 cars. If 45 people can ride in each car, how many people can ride in 4 LRT trains? __________3. A sheet of paper is 0.3175 mm thick. How thick in centimeters would be a pile of 5,000 sheets? __________4. A workman earns ₱45 an hour. How many whole number of hours must he work so that he will earn at least ₱1000? __________5. What is the value of 62 x 23 + 32? __________6. The perimeter of a square is n cm. What is the length of one side? C. 1-minute questions – 5 points each (Use π = 3.14) __________1. If the weight of an apple is 0.22 kg, about how many apples will there be in a 2 kg package? __________2. A swimming pool is 12 m by 8 m. It will be fenced so that the fence will be 2 m away from the pool. What is the perimeter of the fence? __________3. The diameter of a basketball hoop is 56 cm. Find the circumference of the hoop into the nearest hundredth of a meter. __________4. T-shirts marked ₱399 are on sale at a 25% discount. How much will 6 of the T-shirts on sale cost? __________5. The perimeter of a square is equal to the perimeter of an equilateral triangle of side 24 cm. Find the area of the square. __________6. Last year, there were 96 Grade 6 pupils in a new school. This year, they are 250% of last year's. How many are they this year? Clincher questions __________1. What decimal decreased by 0.892 gives 58.3? __________2. In a test of 40 items, Nelly made a mistake on 30% of the items. How many correct answers did she get? __________3. A rug is 3.75 m long. The rug is 1.57 m from one end of the room and 1.23 m from the other end. How long is the room? Do-Or-Die questions __________1. Lily has ₱23.50 less than twice the money of Rita. Together, they have ₱203.00. How much does each girl have? -1- 2007 Division Team Competition Metrobank-MTAP-DepEd Math Challenge Grade4 A. 15-second questions – 2 points each
- 16. __________1. Express thecomposite number 91 as a product of two prime numbers. __________2. Express 17 x 103 in standard form. __________3. Which of the 3 numbers, 5074, 2102, 4170 is a multiple of 6? __________4. Divide my number by 8, subtract 2 and then add 4 you get 13.What is my number? __________5. Find two numbers whose sum is 23 and whose product is 132? __________6.What is the sum of 3 ¼ and 2 ½ ? __________7.A vendor had 64 garlands to sell. He sold 7/8 of them at a trade fair. How many were not sold? __________8. Express 5.8 as an improper fraction in lowest terms. __________9.Which number does not belong to the group? 1.5, 2 3 , 3.2, 1 1 2 ,1.50 __________10. What is 24 x 3? __________11. If 15 x 15 = 225, what is 150 x 150? B. 30-second questions – 3 points each __________1.In a test Rose answered ½ of the questions correctly, Lyn answered ¾ correctly and Janet answered 7/10 correctly. Who had the highest score? __________2. What is the greatest common factor of 128, 64 and 48? __________3.In a trip, Mr. Gomez drove 2 ½ h, stopped for lunch and then drove another 1 ¾ h. If it took him 5 h to reached his destination, how long did he stop for lunch? __________4.For homework, Joe had to read a story that was 15 ½ pages long. He read 2/3 of the story before supper. How many pages did he read before supper? __________5.Carla has 24 coins in her purse. If ¼ of them are 5-peso coins and the rest are one-peso coins, how much money does she have in all? __________6. The ratio of Ann’s height to her father’s is 2:3. Her father’s height is 180 cm. How tall is Ann? C. 1-minute questions – 5 points each __________1. A farm boy tends pigs and chickens in their yard. He counted 21 heads and 54 feet. How many pigs and chickens are there? __________2. T-shirts that sell regularly for ₱350 are on sale at a 25% discount. How much will 4 T-shirts on sale cost? __________3. Grapes cost ₱160 per kilogram. If I buy a bunch weighing 0.53 kg, how much change will I get for my ₱100-bill? __________4. Glenda has 75 stamps. Lita has 16 less than twice as many. How many do they have together? __________5. A room measures 6 m by 4 m. A rug centered in the room is 0.25 m from the walls. What is the area of the rug? __________ 6. In a school, there are 553 boys and 574 girls in Grade 4. There are 23 sections in this grade alone. What is the average number of pupils in each section? Clincher questions __________1. 1 5 is how many times as large as 1 15 ? __________2. The product of two numbers is 12.6525. One of the numbers is 0.25. What is the other number? __________3. The sum of 2 numbers is 18. Their product is 65. What are the 2 numbers? Do-Or-Die questions __________1. X divided by Y is equal to 12. X minus 11 is equal to 97. What number is Y ? -1- 2004 SECTORAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4 A. 15-second questions – 2 points each __________1. Four friends equally shared ¾ of a pizza, which was left over after a party.
- 17. What fraction ofa whole pizza did each get? __________2. What is the sum of all odd numbers less than 10? __________3. The ratio of 2 numbers is 3:5. If the sum is 168, what is the bigger number? __________4. If 3 mangoes cost ₱35, how much will a dozen cost? __________5. Using the digits 2, 5 and 9, each at most 2 times, what is the biggest 6-digit number that you can form? __________6. A pair of shoes is marked ₱450. If a discount of 10% is given, how much will you pay for it? __________7. What is ₱357 divided by 17? __________8. 1.7 is equal to how many hundredths? __________9.Change 122 9 to a mixed number. __________10. Round the factors to the nearest ten and estimate 47 x 33. __________11. If 6 atis weigh 1 kilo, how many kilos would 132 atis weigh? B. 30-second questions – 3 points each __________1.Angelo has 5 8 bottle of developing solution. He uses 1 16 of a bottle for each roll of film. How many films can he develop with it? __________2. What number is 27 more than 45% of 300? __________3.What is the perimeter of an equilateral decagon of side 12 2 3 meter? Give the answer with the fraction part in lowest term. __________4. A 4 liter can of oil costs ₱168. How much does ¼ of a liter cost? __________5. Rose is 6 years older than Pete. Pete is 3 years younger than John. If Rose is 21 years old, how old is John? __________6. A car can run 6 ½ km on one liter of gasoline. How far can it go on 8 liters of gasoline? C. 1-minute questions – 5 points each __________1.The length of a rectangle is twice its width. If the perimeter is 72 meters, find the length and width of the rectangle. __________2. Felisa walks to school along a straight road. She first stops at Delia’s place 4 blocks from her house, then she stops at Rosa’s house which is 5 blocks from Delia’s place. If she is then 3 5 of the way to school, how many more blocks has she to walk? __________3. Pete and OJ together have 71 stamps. If Pete has 8 more than twice as many stamps as OJ, how many stamps has Pete? __________4. The average of 7 numbers is 43. If two of the numbers, namely 53 and 58 are removed, what will be the average of the remaining numbers? __________5. Alice is paid ₱35 per hour for 3 hours a day and 130% of the regular pay for any overtime. How much did she earn in a 5-day week when she worked for 50 hours? __________6. The sum of three consecutive odd numbers is 27. What are the three numbers? Clincher questions __________1. How many common multiples of 3 and 5 are there between 10 and 70? __________2. A dress marked ₱450 was sold at a discount of 15%. How much was paid for it? __________3. In a school play, adult tickets cost ₱75 and student tickets cost ₱50. How much will 2 adult tickets cost? Do-Or-Die questions __________1. In a store, there are 50 3-legged stools and 4-legged stools for sale. Dodi counted 178 legs in all. How many of each kind of stool are there? __________2. If 37 is subtracted from a number and the result divided by 7, the result is 38. What is the original number? 1 2005 SECTORAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4 A. 15-second questions – 2 points each
- 18. __________1. Round 74and 57 to the nearest ten and estimate their product. __________2. What digits will you put in the blank in 8__75 to make the resulting number divisible by 3? __________3. What is the value of 24 x 3 x 10? __________4. The perimeter of a square is 48 cm. What is its area? __________5. A backpack costs P250.00. If a discount of 10% is given, how much will you pay for it? __________6. What is the remainder when 547 is divided by 9? __________7. What is the greatest common factor of 24, 36 and 72? __________8. Rica bought 2 apples at ₱13.50 each. How much change did she get from ₱50? __________9. Give one number you can multiply to 19 to get a product between 450 and 500 __________10. How many squares of side 5 cm can be cut from a piece of cartolina 40 cm by 32 cm? __________11. The product of 36 and 46 is 1656. By what will you multiply 36 to get 165,600? B. 30-second questions – 3 points each __________1. Efren bought 3 ballet tickets for ₱275 each. How much change did he get from a ₱1000-bill? __________2. What number is 22 more than 45% of 500? __________3. A 5-liter can of oil costs ₱360. How much does ½ liter of oil cost? __________4. Rose can type 125 words in 2 minutes on a computer. At this rate, how long will it take her to type a 1125 word paper? __________5. What is the 10th number in the pattern 7, 9, 12, 16 ,21, … __________6. ¼ of 84 is how much less than 3 5 of 95? C. 1-minute questions – 5 points each __________1. In a school, 40% of the population are boys. If there are 896 boys, what is the population of the school? __________2. If apples cost 2 for ₱25, and ponkans cost 3 for ₱25, how much will a dozen of each kind of fruit cost? __________3. Express 1680 as a product of prime factors using exponents. __________4. An H.E. class sold 426 cookies at 3 for ₱5. If the ingredients they used cost ₱215.75, how much did they gain? __________5. How many multiples of 8 are there between 100 and 250? __________6. The sum of two numbers is 181. If one number is 11 more than the other, what are the two numbers? Clincher questions __________1.By how much is ½ of 70 bigger than 1 3 of 54? __________2. How many minutes are there in 8 ½ hours? __________3. What number is 12 less than the product of 7 times the sum of 14 and 16? Do-Or-Die questions __________1. A carpenter made 50 stools, some 3-legged and some 4-legged. If he used 174 legs, how many 4-legged stools did he make? 1 2006 SECTORAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4 A. 15-second questions – 2 points each
- 19. __________1. 0.778 isequal to how many percent? __________2. What is the sum of the even numbers between 10 and 17? __________3. 3.7% is equal to how many thousandths? __________4. The ratio of 2 numbers is 4:7. If the sum is 154, what is the bigger number? __________5. If 3 mangoes cost ₱65, how much will a dozen cost? __________6. Using the digits 3, 5 and 9, each at most 2 times, what is the biggest number that you can form? __________7. If 3 guapples weigh 1 kilo, how many kilos would 102 guapples weigh? __________8. Which has a greater area, a rectangular garden that is 40 m by 30 m or a square garden that is 35 m on a side? __________9.Nancy had 96 stamps. She gave ¼ of them to a friend. How many stamps remained with Nancy? __________10.Rica cleaned 1 3 of a yard. Anna cleaned ½ of the remaining part. What fraction of the yard remained uncleaned? __________11. What is one-twelfth of the product of 8, 6 and 3? B. 30-second questions – 3 points each __________1.Pete has 5 8 bottle of developing solution. He uses 1 6 bottle for each roll of film. How many films can he develop with it? __________2. What percent of 240 is 25% of 192? __________3. What is the greatest common factor of 288 and 360? __________4. What is the area of the bottom of a man-made pool of radius 6 m? __________5. What is the perimeter of an equilateral decagon of side 12 5 6 m? Give the answer with the fraction part in lowest terms. __________ 6. If I add 17 to my number, then triple the result and finally subtract 45, I get 63. What is my number? C. 1-minute questions – 5 points each __________1. The length of a rectangle is twice its width. If the width is 16.5m, what is the area of the rectangle? __________2. In the figure, A ------B--------------------C if AB = 52 cm, BC = 63 cm and M is the midpoint of AC, how long is AM? __________3. What is the smallest number greater than 6,305 that is divisible by 98? __________4. Ace had twice as many stamps as Niel. After giving Niel 6 stamps, he still then had 8 more stamps than Niel. How many stamps had Ace at first? __________5. Vicky is paid ₱40 per hour for 8 hours a day and 130% of the regular pay for any overtime. How much did she earn in a 5-day week when she worked for 50 hours? __________6. How many bags of cement will you buy to pave a path 34 m long and 2 m wide if a bag of cement can cover 12 m2 of the path? Clincher questions __________1. How many common multiples of 2 and 7 are there between 10 and 60? __________2. A toy marked ₱460 was sold at a discount of 15%. How much was paid for it? __________3. A box is 24 cm long, 18 cm wide and 12 cm high. What is the total surface area? Do-Or-Die questions __________1.The gasoline tank of a truck is 5 8 full. It needed 51 liters to fill it. What is its full capacity? -1- Grade 4 FIRST NATIONAL METROBANK-MTAP-DECS ELEMENTARY MATH CHALLENGE Solve each item and write the answer on the blank before the number.
- 20. _________1. What isthe place value of the underlined digit in 572,587? _________2. What is the value of 7 in 975,822? _________3. If 564,780 = 500,000 + N + 4,000 + 700 + 80, what is N? _________4. Write four hundred twelve thousand, sixty-six in figures. _________5. Write DCLXXXIV in Hindu-Arabic. _________6. If 1 is included, how many common factors do 30 and 48 have? _________7. What is 56 more than the quotient of 646 divided by 17? _________8. 87 added to 245 – 187 results in what number? _________9. How many even numbers are there from 51 to 89? _________10. What number is 27 more than the difference of 123 and 68? _________11. Round 467 and 83 to the nearest 10 and estimate their product. _________12. Write 6 x 104 + 7 x 103 + 8 x 10 + 7 in Hindu-Arabic. _________13. How many thousands are there in 12.5 million? _________14. Find two numbers whose sum is 19 and whose productis 84. _________15. Round off 2576 and 984 to the nearest hundreds and then find their sum. _________16 What is the remainder when 659 is divided by 19? _________17. How many 18ths are there in 5 6 ? _________18. Reduce 56 98 to lowest terms. _________19. Change 8 5 12 to an improper fraction. _________20. Change 127 8 to a mixed number. _________21. A ribbon is 16 meters long. It is divided into 12 equal parts. How long is each part? _________22. What is the largest number containing 0, 2, 4, 6 and 9 without any digit repeated? _________23. Fill in the blank with a digit to make 54,77__ divisible by 6? _________24. Express 180 as a productof prime factors using exponents? _________25. What is the greatest common factor of 36 and 48? -1- _________26. What is the least common multiple of 36 and 48? _________27. A vendor cut pineapples in eighths. After selling 27 pieces, he had
- 21. 13 pieces left.How many pineapples did he cut? __________28. A vendor sold 2/3 of his buko and had 37 left. How many had he at first? _________29. If 382.28 x 100 = 3.8228 x N, what is N? _________30. 5.05 is equal to how many hundredths? _________31. How many 0.25-kg bags of sugar can be filled from a 50-kg bag? _________32. Luz bought 8m of tetoron at ₱48.50 a meter and 4 zippers at ₱9.50 each. How much did she spend in all? _________33. The perimeter of a square is 48 cm. What is the area? _________34. What is the ratio of 32 hours to 2 days? _________35. If N : 9 = 48 : 54, what is N? _________36. John pays ₱12.50 for each weekly magazine and sells it for ₱15. If 120 people get from him, how much does he earn in 10 weeks? _________37. The scale of the plan of a house is 3cm to one meter. If a room is 9 cm. on the plan, how long is the actual room? _________38. Liza can type 75 words per minute. At this rate about how many minutes will it take her to type a paper of 970 words? _________39. Mona got 92, 89, 86 and 89. What was her average score? _________40. Express 135% as a fraction in lowest terms. _________41. Write 13 20 as a percent. _________42. A movie lasted for one hour and 45 minutes. It ended at 10:30p.m. What time did it begin? _________43. The area of a rectangle is 56 cm2 . If one side is 7 cm., what is the perimeter? _________44. A can of paint is needed for 40 m2 of wall. If a wall is 30 meters long and 2.5 meters high, how many cans of paint must be bought? _________45. The perimeter of an isosceles triangle is 55 cm. One of the equal sides is 17 cm. How long is the base? _________46. A truck tank is 2 5 full. After using 8 liters, the tank is only 3/10 full. How many liters does it hold when full? _________47. How many times as great is the value of the underlined 4 in 645,348 than the one not underlined? _________48. Nelia has 32 foreign stamps. She has 7 4 as many Philippine stamps. How many stamps in all has she? _________49. An H.E. teacher bought 45 pieces of cloth. Each piece is 1 2 3 meters long. How many meters of cloth did she buy? _________50. The red lights blink every 3 seconds, the blue every 4 seconds and the green every 5 seconds.If they blinked together at 7:30p.m., when will they blink together again? -2- TEST 2- PARTIAL Grade 4 FIRST NATIONAL METROBANK-MTAP-DECS ELEMENTARY MATH CHALLENGE Solve eachitem and write the answeron the blank before the number.
- 22. _________28. If 382.28x 100 = 3.8228 x N, what is N? _________29. A typhoon is moving at a speed of 87 km per hour. At this rate, how far will the typhoonbe in 4.5 hours? _________30. 6.07 is equal to how many hundredths? _________31. What is the ratio of 32 hours to 2 days? _________32. In a nut mixture, peanuts: cashews: pecans = 5:2:3. How many kilograms of cashew nuts are in a 50 kg mixture? _________33. Rosecan type 60 words per minute. At that rate, how long will it take her to type 540 words? _________34. What is the average of Liza if she got 92, 89, 85 and 90 in four tests? _________35. Change 13 20 to percent. _________36. There are 45 students in a class. One Monday, 20% of the class were absent. How many students were present? _________37. A movie lasted for one hour and 45 minutes. It ended at 10:30 p.m. What time did it begin? _________38. The perimeter of a square is 48 cm. What is its area? _________39. The area of a rectangle is 108 cm2. If one side is 12 cm, find the perimeter. _________40. How many numbers from 30 to 60 contain the digit 3? _________41. How many square centimeters of plastic will be needed to cover a table which is 127 cm by 62 cm? _________42. A jewelry boxis 12 cm by 6 cm by 10 cm. What is the volume of the box? _________43. A circular flower plot has a radius of 3.5 meters. If you walk 5 times around it, how many meters will that be? [ π = 3.14 ] _________44. Find the perimeter of the figure. 12cm 28cm 42cm 12cm _________45. A lady bought pillow cases at 3 for ₱100 and sold them at 2 for ₱100. She made a profit of ₱5,000.00 . How many pillow cases did the lady buy? _________46. Rosehas 12 meters of cloth. If a dish towel requires 5/6 m, how many dish towels can Rosemake? _________47. Nelia has 32 foreign stamps. She has 7 4 as many Philippine stamps. How many stamps in all has she? _________48. The sum of the digits of a 2-digit number is 12. If the digits are reversed, the new number is 18 greater than the original number. What is the number? _________49. Nita made 6 more sampaguita garlands than Liza. Together, they made 132. How many garlands did Nita make? _________50. A schoolyard is 106 m long and 67 m wide. If a jogger wants to run 5 km a day, at least how many times must he run around the yard completely to be sure he has at least jogged 5 km? -1- 2006 REGIONAL FINALS Metrobank-MTAP-DepEd Math Challenge - Grade 4 A. 15-second questions – 2 points each
- 23. __________1. Three-fifths ofa number is 54. What is half the number? __________2. What is the remainder when 89 is divided by 7? __________3. How many ₱9-stamps can you buy with ₱100? __________4. The area of a rectangular garden is 96 m2. If the width is 8 m, what is its perimeter? __________5. If 54.5 x 7.8 = 425.1, what is 5.45 x 0.78? __________6.On a balance, one brick balances 1.5 kg and 2 3 of a brick. How heavy is one brick? __________7. How many squares of side 5 cm can be cut from a piece of cartolina 50 cm by 48 cm? __________8. If 42 x 48 = 126 x N, what is N? __________9. What is the next number in the pattern 5, 8, 12, 17, 23, ___ . __________10. If 25 is one factor, give another factor so that the product of the two numbers is between 420 and 490. __________11. The product of two numbers is 117. If one factor is 4 more than the other, what are the numbers? B. 30-second questions – 3 points each __________1. Write 84 as the sum of 3 consecutive whole numbers. __________2. A 5-gallon container can hold 18.93 liters of liquid. To the nearest tenth, how many liters equals one gallon? __________3. Find the difference between the smallest and largest 4-digit number that you can make using 0, 1, 4 and 6. __________4. On John’s block, the houses are numbered 34, 35, 36, …, 98, 99. How many houses are on John’s street? __________5. What number multiplied by itself is equal to the product of 20x80? __________6. A clerk deposited ₱45,000 in ₱500-bills. How many bills did she deposit? C. 1-minute questions – 5 points each __________1. What is the number nearest to 5000 that is exactly divisible by 86? __________2. I used ½ of my money plus ₱10 more in a store. In a second store, I used half of my remaining money plus ₱10 more. On leaving the second store, I had exactly ₱35. How much money had I at first? __________3. Rose plants are to be planted about ½ meter apart along the edges of a 8 m by 7 m rectangular garden. How many plants are needed? __________4. The length of a rectangle is 6 m more than its width. If the perimeter is 60 m, what is its area? __________5. Mr. Santos paid ₱150 for 2 adult tickets and 2 children’s tickets. Mr. Cruz paid ₱180 for 2 adult tickets and 3 children’s tickets. How much is each adult ticket? __________6. Find the actual number of the faces, edges and vertices of a cube. 1 2006 REGIONAL INDIVIDUAL FINALS - Grade 4 Metrobank-MTAP-DepEd Math Challenge
- 24. I. Write theanswer on the blank before the number. [ 2 points each] Time: 75 minutes __________ 1. What is the place value of 3 in 4.01534? __________ 2. 1.56 is equal to how many hundredths? __________ 3. What is the difference between 6 dozen dozens and half a dozen dozens? __________ 4. Write 5.625 as an improper fraction in lowest terms. __________ 5. What is the tens digit of (100 x 9) + (20 x 9) + (3 x 9)? __________ 6. A cyclist covered 50 kilometers at a speed of 12.5 km/hr. How long did it take him to reach his destination? __________ 7. How many hours and minutes will it take to count a million at an average rate of 100 numbers a minute? __________ 8. A car averages 9 km to each liter of gasoline. How many liters (to the nearest whole number of liters) are needed to make a round trip to another town 278 km away? __________ 9. How many segments can you name from the figure? A B C D E F __________ 10. Miss Cruz needs 2.5 dm of ribbon for each certificate. How many meters of ribbon does she need to prepare 162 of them? __________ 11. Beth pays ₱6.00 for a single ride to school. For how many days is ₱100 enough for her transportation? __________ 12. Two supplementary angles are in the ratio 2:3. Find the bigger angle. __________ 13. Jane wants to cover all sides of her sewing box which is 25 cm by 16 cm by 8 cm. What is the total surface to be covered? __________ 14. A group of soldiers and 3 horses passed by. I counted 50 legs in all. How many soldiers were there? __________ 15.Lita had 72 stamps. She gave ½ of them to her sister and ½ of the remaining stamps to her friend. How many stamps remained with her? II. Solve each problem on scratch paper and write a neat and complete solution on the space below. Label your answers. [3 points each] 1.I used 1 3 of my money on Sunday and 2 5 of it on Tuesday. I had exactly ₱44.00 left. How much money had I at first? 2. A rectangular grass lawn is 85 m long and 60 m wide. There is a concrete walk 3 m wide around it as shown. Find the area of the concrete walk. 1
- 25. 3. Two piecesof silver together weigh 55 grams. The two pieces are placed in a balance, one on each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the small piece? 4.A car wheel has a radius of 3 ½ dm. How many times, to the nearest whole number, will it turn to cover a kilometer? [ π = 𝟐𝟐 𝟕 ] 5.Lucy uses about 1 3 kg of laundry soap in 5 days. At this rate, about how much laundry soap would Lucy use a year? III. Solve each problem on scratch paper and write a neat and complete solution on the space below. [5 points each] 1. Find the values of A, B and C so that the sum of the numbers in the circles along the same line is the number in the rectangle. 2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of A+B will satisfy the given condition? Give 2 pairs of values for A and B. 3. The height of a boy was reported to be 140 cm. The height had been rounded to the nearest 10 cm. If the actual height was a whole number of cm, give all what you think could be his actual height? 2 A CB 120 137 133
- 26. 2007 REGIONAL INDIVIDUALFINALS Metrobank-MTAP-DepEd Math Challenge Grade 4 Solve each item and write the answer on the blank before the number. [ 2 points each] Time: 80 minutes __________ 1. Express 65% as a fraction in lowest terms. __________ 2. What is the greatest common factor of 96 and 168? __________ 3.Change 114 9 to a mixed number with the fraction part in lowest terms. __________ 4. What is the remainder when 4596 is divided by 19? __________ 5.By how much is 10 3 8 bigger than 6 7 12 ? __________ 6. A garden is 27 m long and 18 m wide. What is its area? __________ 7. The ratio of two numbers is 5:9. If the larger is 108, what is the smaller? __________ 8. How many bags of cement will be needed for a path 62 m long and 2.5 m wide if one bag of cement is enough to cover 6 square meters of path? __________ 9. If 12 x 12 x 12 = 16 x N, what is N? __________ 10. What is the average speed of a train that traveled 448 kilometers in 8 hours? __________ 11. A car averages 9 km to each liter of gasoline. How many liters (to the nearest whole number of liters) are needed to make a round trip to another town 178 km away? __________ 12. Miss Leni needs 3.2 dm of ribbon for each certificate. How many meters of ribbon does she need to prepare 125 certificates? __________ 13. Two supplementary angles are in the ratio 7:8. Find the bigger angle. __________ 14. Joy read 85 pages of her book in 5 days. Her book contains 220 pages. At the same rate, how many more days does she need to finish reading the book? __________ 15. One side of a square garden is 17 m long. By how much is the area increased if each side is increased by 5 m? II. Solve each problem on scratch paper. Then, write a neat and complete solution on the space provided . Label all answers. [3 points each] 1. Liza has three 5-peso coins and one 10-peso coin. Ruth has five 5-peso coins and one 10-peso coin. How much more money do they need to buy an umbrella that costs ₱95.75 for their mother? 2. Two pieces of silver together weigh 55 grams. The two pieces are placed in a balance, one on each side. An additional weight of 11 grams is placed with the smaller piece. What is the weight of the small piece? -1-
- 27. 3. A kiloof oranges cost ₱20.00. It contains about 8 pieces. A vendor bought 30 kilos and sold them at 3 oranges for ₱10. How much did he gain if he sold all? 4. Letty bought 90 mangoes. If 34 of the mangoes were not ripe, what percent to the nearest whole percent of the mangoes were ripe? 5.I spent 1 3 of my money in the first store; 1 2 of what remained in the second store. I left the second store with exactly P90. How much money had I at first? III. Solve each problem on scratch paper. Then, write a neat and complete solution on the space provided . Label all answers. [5 points each] 1. Rose received ₱1.60 in change in 5¢, 10¢ and 25¢. She received 17 coins in all. How many of each kind did she receive? 2. When the two 4-digit numbers 3A76 and 2B58 are added, the sum is divisible by 9. What value of A+B will satisfy the given condition? Give any 3 numbers with A and B replaced by digits so that the sum of the two numbers is divisible by 9. 3. The perimeter of a square is 3 times the perimeter of an isosceles triangle. One side of the square is 21 cm. The base of the triangle is 1 cm longer than a side. If the height of the triangle is 7.5 cm, find the area of the triangle. -2-
- 28. 2008 REGIONAL INDIVIDUALFINALS Metrobank-MTAP-DepEd Math Challenge Grade 4 I. Solve each item on scratch paper and write the answer on the blank before the number. [2 points each] __________1.What is 78 more than the sum of 97 and 189? __________2.2008 – 1993 is equal to 98 – _____ . __________3.Carol bought 2 dozen pair of socks. If the pair of socks cost P28.50, what is the cost of 2 dozen pair of socks? __________4.(77 + 77 + 77) ÷ 7 = 66 ÷ ____ . __________5.What is the tens digit of (100 x 9) + (30 x 9) + (7 x 9)? __________6.If today is Wednesday, what day was it 100 days ago? __________7.What is the smallest 5-digit number not ending in zero? __________8.What is the smallest number that has 15, 24 and 32 as divisors? __________9.If 227 is divided by 4, what is the product of the quotient and the remainder? __________10.If 346 x 5 607 = 1 940 022, what is 34.6 x 56.07? __________11.What is the difference between 6 dozen dozens and half a dozen dozens. __________12.How many hours and minutes will it take to count a million at an average rate of 100 a minute? __________13.Peter made the smallest possible square with rectangular cards 8 cm by 10 cm. How many cards did he use? __________14.A car race started at 3:43 P.M. and ended at 5:57 P.M. At what time was the race about half finished? __________15.If the pattern of the name Lizzle, LIZZLELIZZLE . . . continues, what will be the 523rd letter? II. Solve each item on scratch paper; then write a neat and complete solution on the space provided. [3 points each] 1.A group of soldiers and 5 dogs passed by. I counted 68 legs in all. How many soldiers were there? 2.Jon planned his practice for a marathon. He will run 1 km the first day, and twice as far each day as the day before after that. On which day will Jon run more than 20 km? 1
- 29. 3.The diameter ofa cigarette, 7 cm long is 7.5 mm. How many cigarettes can be packed in a box which measures 7 cm by 15 cm by 3 cm internally? 4.Write down the odd multiples of 13 from 10 to 200. 5.How many digits are printed by a printer that prints all the numbers from 1 to 728 inclusive? III. Solve on scratch paper; then write a neat and complete solution on the space provided. [5 points each] 1. A lawn is 45 m long and 30 m wide. There is a path, 5 m wide around it. Make a diagram of the problem and find the a. area of the lawn b. area of the lawn and path c. the area of the path d. ratio of the area of the path to the area of the lawn. 2. Ronnie is thinking of a 3-digit number less than 500. If he exchanges the ones and hundreds, the new number is 396 more. If he exchanges the ones and tens, the new number is 18 more. Find as many numbers as you can of which Ronnie could be thinking. 3. A fruit-seller bought 5 boxes of oranges at P450 a box. There were 60 oranges in each box. He threw away 20 rotten oranges. He sold 4 7 of the good oranges at P10 each, and the rest at P9.50 each. How much did he gain? 2
- 30.
- 31. Answer Key Grade4 ~~~~~~~~~~~~~~~~~ TEST 1- FIRST NATIONAL 1. ten thousand 2. 70,000 3. 60,000 4. 412,066 5. 684 6. 4 (1, 2, 3 & 6) 7. 94 8. 145 9. 19 10. 82 11. 37,600 12. 67,087 13. 12,500 14. 7 and 12 15. 3,600 16. 13 17. 15 18. 4 7 19. 101 12 20. 15 7 8 21. 1 1 3 m 22. 96,420 23. 4 24. 22 x 32 x 5 25. 12 26. 144 27. 5 28. 111 29. 10,000 30. 505 31. 200 32. ₱426 33. 144 cm2 34. 2 : 3 35. 8 36. ₱3,000 37. 3m 38. almost 13 mins 39. 89 40. 27 20 or 1 7 20 41. 65% 42. 8:45 pm 43. 30 cm 44. 1 7 8 cans or 2 cans 45. 21 cm 46. 80L 47. 1000 48. 88 49. 75 m 50. 7:31 pm ~~~~~~~~~~~~~~~~~~~~~~ TEST 2- FIRST NATIONAL 28. 10,000 29. 391.5 km 30. 607 31. 2 : 3 32. 10 33. 9 mins 34. 89 35. 65% 36. 36 37. 8:45 p.m. 38. 144 cm2 39. 42 cm 40. 12 41. 7,874 cm2 42. 720 cm3 43. 110 m 44. 140 cm 45. 300 46. 14 47. 88 48. 57 49. 69 50. 15 ~~~~~~~~~~~~~~~~~~~~~~ 2005 – ELIMINATION 1. 2,046,089 2. hundred thousands 3. 70,000. 4. 45,763,854 5. 54,000 6. 67,096 7. 10,245 8. 4998 9. 24000 10. 1,800 11. > 12. 14 and 7 13. 412 14. 7 15. 25 x 3 x 13 16. 18 17. 216 18. 3,500 19. 375 20. 25,000 21. 44 22. 6 23. 10 24. 11 25. 4 and 14 26. 5 27. 23 28. 6 4 9 29. 38 7 30. 7 31. 41 32. 2:5 33. 22 34. 15 19 35. 6 ¼ cm. 36. 28 37. 117 38. 8:15 39. 32 40. 62 m. 41. 234 m2 42. 60 m3 43. 816 44. 74 45. ₱391.00 46. 112 47. 174 cm. 48. 1188 cm2 49. e 50. 16 and 625 ~~~~~~~~~~~~~~~~~~~~~~ 2006 – ELIMINATION 1. 15,070,708 2. ten thousands 3. 600,000 4. 444 5. 50,000 6. 1000 7. 56,809 8. 90 9. 59 10. 24 11. 12 12. 252 13. 31 14. 6 and 12 15. 17 16. 105 17. 8 18. 23 x 32 x 5 19. ₱291 20. 8 21. 5 22. 98 23. 536 24. 400 25. 169 cm2 26. 1:10 27. 6 28. 7.32 29. 17 cm 30. 21 cm 31. 20 5 8 32. 28 5 12 33. 60% 34. 21 cm 35. 4 36. 19.5 m 37. 10 38. 86.75 39. 65.36 40. 2 hours 46 min 41. 69 42. 9 ¾ h 43. 7 44. 7 45. 6 46. obtuse 47. 1 1/12 48. Saturday 49. 65 50. 325
- 32. Answer Key Grade4 ~~~~~~~~~~~~~~~~~~ 2007 –ELIMINATION 1. 4 002 050 650 2. 30 000 000 3. 11 000 4. 7173 5. 102 345 6. 746 7. 81 8. 6 and 9 9. 7758 or C 10. 210 11. 15.056 12. 6 ¾ 13. 103 12 14. 10 3 13 15. 57 or 57 12 16. 78.09 17. 8.830 18. 9:17 or 9 17 19. 17:30 or 17 30 20. 108 21. 2 x 3 x 52 x 7 22. 30 23. 600 24. 9 25. 247 26. 13 27. ₱128.85 28. ₱371.15 29. 102 cm 30. 602.64 cm2 31. ₱855 32. ₱99 33. ₱735 34. 355 35. 10.7 36. ₱5800 37. 112 38. 332.5 39. 52o 40. ₱31.05 41. 22 cm 42. 95o 43. 40 m 44. 49 45. 45 46. 96 47. 150 48. 700 49. 1.2 kg 50. 7 2004 Division Orals A. 15-second questions 1. 90,000 2. 9 3. ₱100 4. 18 dm 5. 45 6. 11, 13, 17, 19 7. 16 8. 6 9. 3, 16 10.14 & 21 11.79 B. 30-second questions 1. 27 m. 2. 47.1 dm 3. 10 4. ₱24 5. 37.5 cm2 6. 864 cm2 C. 1-minute questions 1. 6908 cm3 2. 357 3. 500 4. 153 5. 36 6. 930 Clincher questions 1. 5 2. 22 x 32 x 11 3. 5 : 4 Do-Or-Die questions 1. 31.5 2. 17 ~~~~~~~~~~~~~~~~~~~~~ 2005 Division Orals A. 15-second questions 1. 2 : 3 2. 9998 3. 35 4. 284 5. 25,000 6. ₱82 7. 133 8. 36 9. 120 cm 10.754 11.9999 B. 30-second questions 1. 40567 2. ₱58.40 3. 35.45m 4. 790,000 5. 98 m2 6. 229 kg C. 1-minute questions 1. ₱637.50 2. ₱240 3. 6 km 4. 180 5. ₱160 6. 8514, 8532 Clincher questions 1. 50m 2. 60 3. ₱7.50 Do-Or-Die question 1. 40 ₱1-coins and 20 ₱5-coins ~~~~~~~~~~~~~~~~~~~~ 2006 Division Team Competition A. 15-second questions 1. 4 2. 2n + 13 3. 6 4. 16 5. 72 6. 87 7. 13 10 8. 68o 9. 2.6 km 10.9 11.76.000 B. 30-second questions 1. 266 2. 900 3. 158.75 cm 4. 23 5. 297 6. 𝑛 4 cm C. 1-minute questions 1. 9 2. 56 m 3. 1.76 4. ₱1,795.50 5. 324 cm2 6. 240 Clincher questions 1. 59.192 2. 28 3. 6.55m Do-Or-Die questions 1. Rita – ₱75.50 Lily – ₱127.50
- 33. ANSWER KEYS GRADE 4 2007Division Team Competition A. 15-second questions 1. 7 x 13 2. 17,000 3. 4170 4. 88 5. 11, 12 6. 5 ¾ 7. 8 8. 29/5 9. 3.2 10.48 11.22 500 B. 30-second questions 1. Lyn 2. 16 3. ¾ h 4. 10 1 3 5. ₱48 6. 120 cm C. 1-minute questions 1. 15 chickens,6 pigs 2. ₱1,050 3. ₱15.20 4. 209 5. 19.25 m2 6. 49 Clincher questions 1. 3 2. 50.61 3. 5, 13 Do-Or-Die questions 1. 9 ~~~~~~~~~~~~~~~~~~~~~~ 2008 Division Orals A. 15-second questions 1. 144 2. 10 3. 980 4. 60 5. 2 6. 101 7. 21 8. 24 9. 9, 15 10.45 11.30 B. 30-second questions 1. 18 cm 2. 7 3. 7 4. 9 5. 179 6. 42 ½ C. 1-minute questions 1. ₱120 2. 4.8 cm by 6.4cm 3. 36 4. 54 km 5. 7 [1 pack of 10 and 6 packs of 15] 6. Becomes 9 times Clincher questions 1. 45 years 2. 6 3. 1080 Do-Or-Die questions 1. 4 ~~~~~~~~~~~~~~~~~~~~~ 2005 Regional Finals A. 15-second questions 1. 68% 2. 44 3. 165 4. 54 5. ₱200 6. 50 7. 10 8. 72 9. 70 10.1/3 11.12 min B. 30-second questions 1. 65 8 2. ₱680 3. 84 4. 142 ½ m 5. 37 6. 697 C. 1-minute questions 1. 32 m 2. ₱128 3. 6:42 P.M. 4. 36 km/h 5. 44m2 Clincher questions 1. 4 2. ₱382.50 3. 1872 cm2 Do-Or-Die questions 1. 45, 60, 75, 90 ~~~~~~~~~~~~~~~~~~~~~~ 2006 Regional Finals A. 15-second questions 1. 45 2. 5 3. 11 4. 40 m 5. 4.251 6. 4.5 kg 7. 90 8. 16 9. 30 10.17, 18 or 19, accept one 11.9, 13 B. 30-second questions 1. 27+28+29 2. 3.8 3. 5384 4. 66 5. 40 6. 90 C. 1-minute questions 1. 4988 2. ₱200 3. 60 4. 216 m2 5. ₱45 6. 26
- 34. ANSWER KEYS GRADE -4 MTAP ~~~~~~~~~~~~~~~~~~~~ 2004 SECTORAL FINALS A. 15-second questions 1. 3 16 2. 25 3. 105 4. ₱140 5. 995,522 6. ₱405 7. 21 8. 170, accept 170 100 9. 13 5 9 10.1500 11.22 B. 30-second questions 1. 10 2. 162 3. 126 2 3 m. 4. ₱10.50 5. 18 yrs. old 6. 52 km. C. 1-minute questions 1. L = 24m, W = 12 m 2. 6 3. 50 4. 38 5. ₱1855 6. 7, 9, 11 Clincher questions 1. 4 2. ₱382.50 3. ₱400 Do-Or-Die questions 1. 22 3-legged and 28 4-legged 2. 303 ~~~~~~~~~~~~~~~~~~~~~ 2005 SECTORAL FINALS A. 15-second questions 1. 4200 2. 1, 4, 7 3. 480 4. 144 cm2 5. ₱225 6. 7 7. 12 8. ₱23.00 9. Any one of 24, 25, 26 10.48 11.4,600 B. 30-second questions 1. ₱175 2. 247 3. ₱36.00 4. 18 min 5. 61 6. 36 C. 1-minute questions 1. 2240 2. ₱250.00 3. 24 x 3 x 5 x 7 4. ₱494.25 5. 19 6. 85 and 96 Clincher questions 1. 17 2. 510 3. 198 Do-Or-Die questions 1. 24 ~~~~~~~~~~~~~~~~~~~~~ 2006 SECTORAL FINALS A. 15-second questions 1. 77.8 2. 42 3. 37; accept 37 1000 4. 98 5. ₱260 6. 995,533 7. 34 8. Square garden 9. 72 10. 1 3 11.12 B. 30-second questions 1. 10 2. 20, accept 20% 3. 72 4. 113 or 113.04 m2 5. 128 1 3 m 6. 19 C. 1-minute questions 1. 544.5 m2 2. 57.5 cm 3. 6370 4. 40 5. ₱2120 6. 6 Clincher questions 1. 4 2. ₱391 3. 1872 cm2 Do-Or-Die questions 1. 136 L
- 35. Answer Key Grade4 2004 – ELIMINATION 1. 24,000 2. 15 3. 2,078,605 4. 3000 5. 16 6. 108 7. 9 zeroes 8. 70,693 7 x 104 = 70,000 6 x 102 = 600 9 x 10 = 90 3 = 3 70,693 9. < 10. c. 26 = 13 x 2 x 1 11. 6 and 16 24. 15.7 m x = 1st number 22 –x = 2nd number product = 96 = 2 x 2 x 2 x 2 x 2 x 3 Factors Sum 1 x 96 97 2 x 48 50 3 x 32 35 4 x 24 28 6 x 16 22 8 x 12 20 12. 1,479 13. 1 = 56,N78 5 + 6 + N + 7 + 8 = 26 + N N = 27 – 26 N = 1 14. 22 x 32 x 5 x 7 15. 41,574 16. 4 17. 3,500 3000 + 4000 = 3500 2 18. 3,116 19. 318 17 pages x 18 stamps/pg =306 18th pg. + 12 318 20. 13 21. Subtract 22. 40 x= smaller x+16=bigger x : x+16=3 : 5 3(x+16)=5x 3x+48=5x 48=2x 24=x 23. .25 cm : 9 dm .25 cm = 90 cm [ ¼ cm = 90 cm] 4 1cm = 360 cm 24. 15.7 m 30 m – (55 x 0.26m) 30 m–14.30 = 15.70m 25. 7400 26. 20 6 2 3 = 20 3 ÷ 1 3 =20 27. 103 12 28. 11 7 11 29. 11 13 30. 3 4 54 = 2 x 3 x 3x 3 = 3 72 2 x 2 x 2x 3 x 3 4 31. 10 5 12 m 32. 2 5 12 m 33. 92 Boys = 230 x 2/5 = 92 34. 12 : 35 35. ₱ 171 4 Mangoes = ₱ 38 Dozen and a half = 18 Mangoes 4 : 38 = 18 : P 4P = 38 x 18 P = 684 P = 171 36. 40 37. 93.67 or 93 2/3 38. 9 mins. 6 x 0.3 x 5 = 9 minutes 39. 108 m 40. 5 bags 41. 196 m2 42. 960 liters V = 10 x 12 x 8 V = 960 dm3 V = 960 liters 43.160 m 44. 33 45. 45o 3 = 1 x 360o = 45o 24 8 46. 12 ( 45, 50-59, 65) 47. 415 bus = 2 5 of 975 = 390 car = 1 5 of 97 –25 = 170 560 public = 975 –560 = 415 48. 86 Aida = 12 + Anna Anna = Aida - 12 Aida + Anna = 160 Aida + Aida – 12 =160 2Aida = 160 + 12 2Aida = 172 Aida = 86 49. ₱215.50 50. 4,840 m2