(2000 – 2001) FIRST NATIONAL METROBANK-MTAP-DECS ELEMENTARY
MATH CHALLENGE Grade 6
Solve each item and write the answer on the blank before the number.
_________ 1. What is the place value of 9 in 393,648,618?
_________ 2. What is the value of 7 in 457,809,050?
_________ 3. How many ten thousands are there in 6.5 billion?
_________ 4. Round off 456,670 to the nearest ten thousand.
_________ 5. What is the multiple of 100 closest to 776?
_________ 6. Round off to the nearest thousand and find the sum: 7 376 + 5 539 + 8 412
_________ 7. Write MCMLXXII in Hindu-Arabic.
_________ 8. Mang Tasyo picked 256 mangoes from one tree, 319 from a second and 278 from
a third. How many mangoes in all did he pick?
_________ 9. How many times as great is the underlined 7 in 4 756 272 than the 7 not underlined?
13 16
_________ 10.Which is larger, or ?
15 19
_________ 11. Write 3 x 105 + 5 x 104 + 7 x 102 + 8 x 10 + 5 in standard form.
5
_________ 12. Change 8 to an improper fraction.
6
123
_________ 13.Change to a mixed number.
8
5 7
_________ 14. Luz bought 21 m of white cloth and 16 of blue cloth. How many meters of cloth
6 9
did she buy in all?
7 5
_________ 15.Liz has 6 m of lace. She needs 15 m. How much more lace does she need to buy?
8 6
3 4
_________ 16 Multiply: 5 x 3 .
5 7
3
_________ 17.A scout master has 45 m of rope. How many 2 ½ pieces of rope can he cut from it?
4
3
_________ 18. How many twelfths are there in 2 ?
4
________ 19. Round off 34.56551 and 4.781675 to the nearest thousandth and find the sum.
_________ 20. If 23.56 x 878.6 = 0.2356 x N, what is N?
_________ 21. The three sides of a triangle have lengths of 3.52 cm, 4.8 cm and 5.7 cm.
Find its perimeter.
_________ 22. Roly bought 3 ballpens at P4.75 each and 3 notebooks at P8.50 each. How much
did he pay?
_________ 23. If Roly gave the salesgirl a P50-bill, how much change did he get?
_________ 24. If caimitos cost P5.50 each, how many can I buy with P100?
_________ 25. What is the ratio of 75 cm to 1.2 m?
_________ 26. If 9 : 13 = 108 : N, what is N?
_________ 27. If Rita can type 55 words a minute, about how many minutes, to the nearest
minute, will it take her to type a 1695-word article?
_________ 28. A piece of cartolina 35 cm long and 10 cm wide was cut into strips 2.5 cm long
and 2 cm wide. How many strips were cut?
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5
_________ 29.If of a number is 35, what is the number?
7
_________ 30. Write 0.353535… as a ratio of two whole numbers.
_________ 31. P765 is divided among three children in the ratio 2:3:4. How much did the child
who received most get?
_________ 32. The ratio of the areas of 2 pieces of land is 3:4. If the smaller piece has an area
of 270 m2, what is the area of the larger piece?
2
_________ 33.Change 1 to percent.
5
_________ 34. Change 175% to a fraction in lowest terms.
7
_________ 35.Change to percent. Give the answer to the nearest tenth of a percent.
9
_________ 36. During a sale, Nancy bought a dress marked P175 at a 15% discount. How
much did she pay for it?
_________ 37. Aling Nena borrowed P8,500 from their cooperative at 12% simple interest. If she paid P5,000 after one year and paid
what remained with its interest at the
end of the second year, how much in all did she pay?
_________ 38. One angle of ABC measures 105°. What is the triangle called?
_________ 39. An aquarium is 6 dm long, 4 dm wide and 5 dm high. What is its volume when
4
it is full?
5
_________ 40. The length of a rectangular field is 123 m and the width is 86m. If a jogger goes
around it 5 times, how many meters will that be?
_________ 41. What is the area of the field in No. 40?
_________ 42. The figures are made up of equal squares. If Fig. A has a perimeter of 54 cm,
what is the perimeter of Fig. B?
Fig. A Fig. B
_________ 43. A circular garden has a radius of 5 m. What is its area? [Use π=
3.14]
_________ 44. Santan bushes are to be planted, around the circumference of the circular
garden in #43, at 3 dm apart. How many bushes will be planted?
_________ 45. A conical tent has a radius of 4 meters and a height of 6 meters. How much air does it enclose?
_________ 46. A 10 cm by 7 cm picture is pasted on a cardboard 16 cm by 13 cm. What area
of the cardboard is seen?
_________ 47. A metal ball has a radius of 3 cm. What is its volume?
_________ 48. The vertex angle of an isosceles triangle is 72°. Find each base angle.
_________ 49. An angle is 16° more than its supplement. Find the angle.
_________ 50. The scale in the house of Mr. Cruz is 3 cm to 2 m. If the living room is 8 cm by 9 cm in the plan, what is its actual
area?
1. ten millions
2. 7,000,000
3. 650,000
4. 460,000
5. 800
6. 21,000
7. 1972
8. 853
9. 10,000
10. 13/15
11. 350,785
12. 53/6
13. 15 3/8
14. 38 11/18 m
15. 8 23/24
16. 20
17. 18
18. 33
19. 39.348
20. 87,860
21. 14.02 cm
22. P 39.75
23. P 10.25
24. 18
25. 5 : 8
26. 156
27. 31 mins
28. 70
29. 49
30. 35/99
31. P 340
32. 360 m2
33. 140%
34. 1 ¾
35. 77.8%
36. P 148.75
37. P 5,540 but in the answer key is P10,062.40
38. Obtuse triangle but in the answer key is isosceles
39. 96 dm3
40. 2090 m
41. 10,578 m2
42. 42 cm
43. 78.5 m2
44. 104 but in the answer key is 105
45. 100.48 m3
46. 138 cm2
47. 113.04 cm3
48. 54°
49. 98°
50. 32 m2