2008 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 “five million, thirty-four thousand, eighty in symbols.
Answer: 5 034 080
2. What digit is in the ten thousands place in 68,357,000?
Answer: 5
3. What is the smallest digit that can be placed in the blank to
make 3_, 863 > 32, 862?
Answer: 2
4. What is the value of 7 in 67 801 350?
Answer: 7 000 000
5. How many times will you multiply 10 by itself to get 1,000 000?
Answer: 6 times
6. How many ₱500 bills are equal to ₱17, 000?
Solution: 17 000 ÷ 500 = 34
Answer: 34
7. Round 45 872 871 to the nearest ten thousand.
Solution: Follow the rounding off rule
Answer: 45 870 000
8. What number is 1 275 more than 32, 650?
Solution: 1 275 + 32 650 = 33 925
Answer: 33 925
9. What is the smallest prime number greater than 80?
Answer: 83
10. Which of 123, 126, 177, 281, 687 is/are prime?
Solution: Use the divisibility rule
Answer: 281
11. Which of 2, 3, 4, 5, 6, 7, 8 is/are not factors of 1260?
Solution: Apply the divisibility rules
Answer: 8
12. Write 5 x 105 + 7 x 103 + 9 x 102 + 7 as one number.
Solution: 500 000 + 7 000 + 900 + 7
Answer: 507 907
13. What is the GCF of 72 and 120?
Solution: 72 = 2x2x2x3x3
120= 2x2x2x3 x5
GCF= 2x2x2x3 = 24
Answer: 24
14. What is the LCM of 72 and 120?
Solution: 72 = 2x2x2x3x3
120= 2x2x2x3 x5
GCF= 2x2x2x3x3x5 = 360
Answer: 360
15. How many multiples of 10 are there in the numbers 1 to 328?
Solution: 328 ÷ 10 = 32.8
Answer: 32
16. What is the remainder when 5439 is divided by 36?
Solution: 5 439 ÷ 36 = 151 remainder 3
Answer: 3
17. Which of 126, 351, 773, and 918 is not divisible by 9?
Solution: A number is divisible by 9 if the sum of the
digits is divisible by 9.
Answer: 773
18. What digit placed in the blank will make 8_4 – 357 = 517 a true
sentence?
Solution: Use the reverse operation
517 + 357 = 874
Answer: 7
19. If you have ₱200, how many apples costing ₱8.50. each can
you buy?
Solution: P200 ÷ 8.50 = 23.53
Answer: 23
- 13 x9 +7 -50
20. If [ N] [ ] [ ] [ ] [ 20 ], what is N?
Solution: Use reverse operation
20+50=70-7=63÷9=7+13=20
Answer: 20
21. What is 14 x 30 ÷15?
Solution: 14 x 30 ÷ 15
= 420 ÷ 15
= 28
Answer: 28
22. What is the value of 73 – 53?
Solution: 73 = 7x7x7 = 343
53 = 5x5x5 = 125
343-125= 218
Answer:218
23. The even number 918 is twice what odd number?
Solution: 918 ÷ 2 = 459
Answer: 459
24. In three tests, Rod got 84, 92 and 85. What was his average?
Solution: 84 + 92 + 85
3
= 261÷3
= 87
Answer: 87
25. Change 129/7 to a mixed number.
Solution: 129÷7 = 18 r.3
= 18 3/7
Answer: 18 3/7
26. How many 64ths are equal to 5/8?
Solution: 5 ÷ 1 = 320 = 40
8 64 8
Answer:40
27. Reduce 80/112 to lowest terms.
Solution: The GCF of 80 and 112 is 16
80÷16 = 5; 112÷16 = 7
Answer: 5/7
28. Lucy bought a blouse for ₱135.75. She gave the cashier two
₱100-bills. How much change did she get?
Solution: 2-100 bills = Php200
Php200 – 135.75 = 64.25
Answer: Php64.25
29. Rolly can cover 11.6 km/h in his cycle bicycle. How far can he
go in 2.5 hours?
Solution: 11.6 x 2.5 = 29km
Answer: 29 km
30. Phil has a garden 18.5 m long and 13.7 m wide. Find the
perimeter of Phil’s garden.
Solution: Perimeter= (l+w)x2
=(18.5 + 13.7) x2
=(32.2)x2
= 64.4 m
Answer: 64.4 m
31. What is the area of the garden of Phil?
Solution: Area= length x width
= 18.5 x 13.7
= 253.45m2
Answer: 253.45m2
32. Miss Lily has 42 pupils in her Sewing Class. Each needs 2/3 m
of cloth for a place mat. How many meters of cloth does Miss Lily
have to buy for them?
Solution: 42 x 2/3 = 84/3 = 28 m
Answer: 28m
33. Mr. Go bought a lot 23 1/2 m long and 18 2/3 m wide. What is
the perimeter of the lot?
Solution: (23 1/2 + 18 2/3) x2
(23 3/6 + 18 4/6) x2
(41 7/6) x2
(42 1/6) x2
253/6 x 2/1 = 506/6 = 84 2/6 or 84 1/3
Answer: 84 1/3m
34. How many degrees is the supplement of an angle of 68O?
Solution: 1800 - 680 = 1120
Answer: 1120
35. Linda started a 45 minutes piano lesson at 3:30 P.M. After her
lesson Linda walked home for 20 minutes. What time did Linda
reach home?
Solution: From 3:30 PM, after 45 minutes the time
would be 4:15 PM, 20 minutes after 4:15 PM is 4:35 PM
Answer: 4:35 PM
36. Lester left his office and drove 15 minutes to a meeting that
lasted 1 hour and 20 minutes. He drove another 20 minutes before
arriving home at 5:00 P.M. What time did he leave his office?
Solution: 15 minutes + 1 hour and 20 minutes
= 1 hour, 35 minutes + 20 minutes
= 1 hour, 55 minutes
5:00 – 1:55 = 3:05 PM
Answer: 3:05 PM
37. In factory with 336 employees, 114 are men. What is the ratio
of male employees to female employees?
Solution: 114:222 ;change to lowest term (GCF=6)
19:37
Answer: 19:37
38. The ratio of two numbers is 4:7. If their sum is 132, find the
bigger number.
Solution: 4+7= 11; 132 ÷ 11= 12
4 x 12= 48; 7 x 12= 84
Answer: 84
39. In a class, there are 23 girls and 19 boys. If 14 pupils got merit
certificates in the Math Challenge Eliminations, what fraction of the
pupils got merit certificates?
Solution: 23+19 = 42
14 out of 42= 14/42 or 1/3
Answer:1/3
40. A vendor bought 125 pineapples at ₱ 12 each and sold them
at ₱15 each. What was his gain percent?
Solution: 125 x P12 = P1500
125 x P15 = P1875
Gain= P1875-P1500= P375
Gain Percent= 375÷1500 = 0.25 or 25%
Answer: 25%
41. A stove marked ₱2850 was bought at a 15% discount. How
much was paid for it?
Solution: ₱2850 x 15% =₱427.50 (discount)
=₱2850 - ₱427.50 = ₱2,422.50
Answer: ₱2,422.50
42. A pair of shoes marked ₱950 was bought for ₱760. What was
the percent discount?
Solution: P950 – P760= P190 (discount)
Rate of discount= 190/950 = 0.2 or 20%
Answer: 20%
43. A string is stretched 1/2 cm for every 10 kilos of weight. How
far will a 24-kilo weight stretched the spring?
Solution: 24 ÷ 10 = 2.4
2.4 x ½ = 2.4 x 0.5 = 1.2 cm
Answer: 1.2cm
44. A picture is 30 cm long and 22 cm wide. It is placed in a
uniform frame that is 3 cm wide. What is the outside perimeter of
the frame?
Solution: length= 30cm + 3 cm = 33cm
Width = 22cm + 3 cm = 25cm
Perimeter= 2x (l+w)
2x (33cm+25cm)
2x (58cm)
=116 cm
Answer: 116 cm
45. A milk can has a radius of 6 cm and a height of 18 cm. how
much milk does it contain? [Use π= 3.14]
Solution: Volume= πr2h
=(3.14)(62)(18)
=(3.14)(36)(18)
= 2,034.72 cm3
Answer:2,034.72 cm3
46. How many different rectangular gardens can you make, whose
dimensions are whole numbers, if you have 48 m of fencing
materials and the width is at least 4 m? Consider a 6 m by 18 m
rectangle the same as an 18 m by 6 m rectangle.
Solution: The perimeter must be equal with 48m
Combinations: 4,20; 5,19; 6,18; 6,17;
8,16; 9,15; 10,14; 11,13
Answer: 8
47. I am a decimal with my last digit in the hundredths. Rounded to
the nearest whole number, I am 6.5 Rounded to the nearest whole
number, I am 6. If the sum of my digits is 16, what number am I?
Answer: 6.46
48. Jim, Tim and Kim have 67 marbles together. Tim has 6 more
marbles than Jim and Kim has 8 fewer marbles than Jim. How
many marbles has Tim?
Solution: Jim=A; Tim=B; Kim=C,
Wherein; B=A+6 , C=A-8
A+(A+6)+(A-8) = 67
A+A+A = 67 -6 +8
3A = 69
A = 69/3 = 23
Therefore Jim=23; Tim=23+6=29; Kim=23-8=15
Answer: 29 marbles
49. There are bicycles and tricycles parked along a road. There
are 29 wheels and 11 riders. How many bicycles are there?
123 4 5 6 7 8 9
Solution: bicycle = 2,4,6, 8,10,12,14,16,18
Tricycle= 3,6,9,12,15,18,21,24,27
Answer: 4 bicycles
50. Twin primes are prime numbers that differ by 2, like 3 and 5.
Find twin primes between 65 and 80.
Answer: 71 and 73
