2009 Metrobank MTAP DepEd Math Challenge

Eliminations Level-Grade 5

Directions: Check your answers. Analyze the solution given in

every question. Be sure you deeply understand the concepts
involved. Test yourself again by answering the questions.

1.Write as one number: 7x105 +5 x103 + 6 x 102 + 7 x 10 +5.

Solution:700 000 + 5 000 + 600 + 70 + 5
Answer: 705 675

2. What is the smallest number that you can form using the digits
in 465 918?
Solution: Arrange the digits in ascending order.
Answer: 145 689

3. Round 78 952 491 to the nearest ten thousand.

Solution: follow the rounding off rules
Answer: 78 950 000

4. What is the smallest number that rounds to 700 to the nearest

hundred?
Answer: 650

5. Round each addend to the nearest thousand and estimate the

sum of 4567 + 6497 +5550.
Solution: 4567 = 5000
6497 = 6000
5550 = 6000
17 000
Answer: 17 000

6. What number is 2000 more than two million?

Solution: 2 000 000 + 2 000 = 2 002 000
Answer: 2 002 000

7. How many hundred thousands are there in 100 million?

 Solution: 100 000 000 ÷ 100 000 = 1 000
Answer: 1000

8. Add 52 to the quotient of 9 666 divided by 9.

Solution: 9 666 ÷ 9 = 1 074
1 074 + 52 = 1 126
Answer: 1 126

9. It takes 8 kg of cement to cover 10 square meters of court. How

many kg of cement are needed if the court is 12 m by 15 m?
Solution: Find first the area of the court
Area = 12m x 15m = 180 m2
= 180m2 ÷ 10m2 = 18
= 18 x 8 kg of cement = 144 kg
Answer: 144 kg

10. Gigi’s grades in 5 Math quizzes are 76, 92, 80, 85 and 86.
What must she get in the 6th quiz to get the average of 85?
Solution: 76+92+80+85+86+___ /6 = 85
85x6 = 510–(sum of the 5 numbers)
= 510 – 419
=91
Answer: 91

11. A vendor has ₱1600. If a watermelon cost ₱28, how many can
he buy?

Solution: 1 600 ÷ 28 = 57.14

*the answer must be a whole number because it
represents watermelon
Answer: 57

12. The distance between two towns is 420 km. If it takes a bus to
7 hours to cover the distance, what is its average speed?
Solution: speed = distance/time
= 420÷7
= 60
Answer: 60 kph
13. Four hundred twenty-five students and teachers will go outing.
If each bus can seat 54 people, how many buses do they need?
Solution: 425 ÷ 54 = 7.87
*the answer must be a whole number to represent the
bus
Answer: 8

14. What is 150 more than the product of 25 x 38?

Solution: (25 x 38) + 150
= 950 + 150
= 1100
Answer: 1 100

15. A farmer gathered 228 mangoes from their backyard and 542
from their farm. How many mangoes in all did he gather?
Solution: 228 + 542 = 770
Answer: 770

16. Rose earns ₱148,800 a year. How much does Rose earn each
month?
Solution: 148 800÷12 = 12 400
Answer: Php12 400
17. Which of the following is divisible by 8? 8750, 8830, 9864?
Solution: A number is divisible by 8 if the last three
digits is divisible by 8 or 000.
Answer: 9864

18. Express 2520 as a product of its prime factors.

Answer: 23x32x5x7 or 2x2x2x3x3x5x7

19. What is the greatest common factor of 168 and 252?

Solution: 168=2x2x2x3 x7
252=2x2 x3x3x7
GCF=2x2 x3 x7 = 84
Answer: 84

20. What is the least common multiple of 168 and 252?

Solution: 168=2x2x2x3 x7
252=2x2 x3x3x7
LCM=2x2x2x3x3x7 = 504
 Answer: 504

21. Change 9 7/12 to an improper fraction.

Solution: 9 7 = 12 x 9 + 7 = 115
12 12
Answer: 115
12

22. Change 127/11 to a mixed number.

Solution: 127 ÷ 11 = 11 6/11
Answer: 11 6/11

23. Reduce 84/96 to lowest terms.

Solution: 84 ÷ 12 = 7
96 ÷ 12 8 *12 is the GCF of 84 and 96
Answer: 7/8
24. Two Grade 5 sections collected 87 5/6 kilos and 92 7/9 kilos of
newspapers. How many kilos of newspaper did the two sections
collect altogether?
Solution: Change to similar fractions
87 5/6 = 87 30/36
92 7/9 = 92 28/36
179 58/36 or 180 22/36 or 180 11/18
Answer: 180 11/18

25. Mother bought 3 3/4 kilos of chicken. If one weighed 1 5/8

kilos, what was the weight of the other?
Solution: 3 3/4 = 3 6/8
1 5/8 = 1 5/8
2 1/8
Answer: 2 1/8

26. Rey can bike in 12 km 1 hour. How far can he bike 1 3/4
hours?
Solution: 12 x 1 ¾
= 12 x 7/4
= 84/4
= 21 km
Answer: 21 km
27. If 3/4 of the 360 Grade V pupils in a school attended the
school play how many did not see the play?
Solution: ¾ of 360 attended the school play
¼ of 360 did not attend
1 x 360 = 360 = 90
4 1 4
Answer: 90

28. A man working 8 hours a day can finish a job in 12 days. How
many hours a day must he work to finish the same job in 10 days?

Solution: 8:n = 10:12

96 = 10n
96 = n
10
N=9 6/10 or 9 3/5
Answer: 9 3/5

29. The perimeter of a square is 108 cm. Find the length of a side.
Solution: Perimeter = 4 x side
108 = 4 x side
Side = 108/4 = 27 cm
Answer: 27cm

30. Round 8.4886 to the nearest hundredth.

Answer: 8.49

31. Find the product of 9.56 x 8.74 to the nearest hundredth.

Solution: 9.56 x 8.74 = 83.5544
Answer: 83.55

32. How many pieces of tape 2.4 dm long can be cut from a spool
of tape 15 m long?
Solution: Convert 15 m to dm first
= 15 m x 10 = 150 dm
= 150 dm ÷ 2.4 dm = 62.5
Answer: 62pcs

33. A farmer had 18.6 hectares of land. He sold 0.7 of it. How
many hectares remained?
Solution: 0.7 of 18.6 means 0.7 x 18.6
 0.7 x 18.6 = 13.02 sold
18.6–13.02 = 5.58 hectares remained
Answer: 5.58 hectares

34. If 5:N = 45 : 54 , what is N?

Solution: 5:N = 45:54
270 = 45N
270 = N
45
6=N
Answer: 6

35. For every ₱25 that Lyn receives, she saves ₱5.50, how much
does she save in 10 weeks if parents give her ₱ 200 a week?
Solution: 200x10 = Php2000 in 10 weeks
Php2000 ÷ 25 = 80
80 x P5.50 = Php440.00
Answer: Php440.00

36. The ratio of the salary of a man and his helper is 4:3. If the
helper earns ₱300 a day. How much does the man earn?
Solution: 4 : 3 = n : 300
3n = 1200
n = 1200/3
n = 400
Answer: 400

37. A rectangular garden is 33 m long and 22 m wide. What is its

perimeter?
Solution: Perimeter = (length + width)x2
=(33 + 22)x2
= (55) x 2 = 110
Answer: 110 m

38. What is the area of the garden in # 37?

Solution: Area= length x width
= 33m x 22m
= 726 m2
Answer: 726 m2
39. Rita bought 4 mangoes for ₱54. At that rate, how much will a
dozen mangoes cost?
 Solution: 4:54 = 12:n
4n = 648
n = 648/4
n = 162
Answer: Php162.00

40. Out of 200 school days. George was absent for 10 days. What
percent of the school days was George absent?
Solution: Rate = percentage
Base
= 10/200
= .05 or 5%
Answer: 5%

41. A family has a combined income of ₱19,500. If they spend 30

% of it on food, how much do they spend on food?
Solution: ₱19,500 x 30%=
₱19,500 x .30 = ₱5,850
Answer: ₱5,850

42. In a test of 50 items, Nida got 80% correct. How many correct
answers did Nida get?
Solution: ₱50 x 80%=
₱50 x .80 = 40
Answer: 40

43. What is an angle of 135O called?

Answer: obtuse angle

44. A stop sign is a regular octagon with a side of 17 cm. What is

its perimeter?
Solution: *regular octagon has 8 equal sides
Perimeter= 8 sides x 17 cm = 136 cm
Answer: 136 cm
45. A base angle of an isosceles triangle is 9 O more than the
vertex angle. Find the vertex angle.
Solution: *isosceles triangle has 2 equal base angles
1800 - 180 = 1620 (3 angles)
1620 ÷ 3 = 540 (each angle)
Base angle 1 = 540 + 9 = 630
Base angle 2 = 540 + 9 = 630
 Vertex angle = 540
Answer: 540

46. An aquarium is 8 dm long. 6 m wide and 5 dm high. How many

liters of water does it hold when 4/5 full?
Solution: Volume= lxwxh
= 8x6x5
= 240 dm3 (when full)
4/5 of 240dm3 = 4/5 x 240
= 960/5 or 192 dm3
*1 dm3 = 1L
Answer: 192L

47. How many circles of radius 5 cm can be cut from a piece of

cartolina 42 cm by 32 cm?
Solution: Area of Cartolina
= 42cm x 32 cm = 1 344cm2
Area of circle
= 3.14 (52) = 78.50cm2
Area of cartolina ÷ Area of circle
= 1 344 ÷ 78.50
= 17.12 or 17
Answer: 17 circles

48. Nelia made a circle graph to represent her day of 24 hours. If

she works for 8 hours, how many degrees is the sector that
represents her work?

Solution: 8:24 = n:360

2880 = 24n
2880 = n
24
120 = n
Answer: 1200

49. Three numbers are in the ratio 3: 4: 6. If the middle number is

28. What is the sum of the three numbers?
Solution: 3: 4: 6 28÷4= 7
n: 28: n 3 x7=21; 6 x7=42
21:28:42 = 21+28+42 =91
 Answer: 91

50. The sum of three numbers is 99. The first is 10 greater than
the second and 20 greater than the third. Find the largest of the
three numbers.
Solution: Subtract first 10 and 20
99-30 = 69
69 ÷ 3 numbers = 23
1st number= 43
2nd number= 33
3rd number= 23
Answer: 43