Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 79 · 40 sums

The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

1. 1.Are 10, 14, 35 and 49 in proportion? (a) Yes (b) No
2. 2.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
3. 3.Write the ratio 14 : 16 in its simplest form. (a) 14 : 16 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
4. 4.₹2240 is shared between Ishaan and Zoya in the ratio 7 : 9. How many rupees does Ishaan get?
5. 5.Write the ratio 35 : 42 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 35 : 42 (d) 6 : 5
6. 6.If 5 ice creams cost ₹300, how many rupees do 4 ice creams cost?
7. 7.2 : 3 = 10 : ?
8. 8.A class has 5 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 15 (b) 1 : 3 (c) 2 : 4 (d) 3 : 1
9. 9.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
10. 10.A team has 32 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 32 : 28 (c) 8 : 7 (d) 7 : 8
11. 11.Write the ratio 18 : 81 in its simplest form. (a) 3 : 10 (b) 18 : 81 (c) 2 : 9 (d) 9 : 2
12. 12.Write the ratio 32 : 8 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 32 : 8
13. 13.Are 2, 12, 6 and 36 in proportion? (a) No (b) Yes
14. 14.A class has 5 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 1 : 5 (d) 5 : 25
15. 15.Write the ratio 56 : 21 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 56 : 21 (d) 8 : 3
16. 16.2 : 9 = ? : 18
17. 17.7 : 9 = ? : 45
18. 18.A basket has 24 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 8 : 9 (c) 24 : 27 (d) 9 : 10
19. 19.Are 4, 6, 8 and 12 in proportion? (a) No (b) Yes
20. 20.3 : 8 = ? : 32
21. 21.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 3 hours?
22. 22.A basket has 6 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 6 : 16 (c) 3 : 8 (d) 8 : 3
23. 23.Write the ratio 24 : 40 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 24 : 40
24. 24.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
25. 25.Are 24, 30, 16 and 21 in proportion? (a) Yes (b) No
26. 26.Are 6, 54, 2 and 21 in proportion? (a) No (b) Yes
27. 27.1 : 4 = ? : 40
28. 28.Write the ratio 18 : 45 in its simplest form. (a) 5 : 2 (b) 18 : 45 (c) 2 : 5 (d) 3 : 6
29. 29.2 : 5 = ? : 25
30. 30.1 : 4 = ? : 32
31. 31.Are 4, 10, 6 and 18 in proportion? (a) Yes (b) No
32. 32.A class has 27 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 9 : 2 (c) 27 : 6 (d) 10 : 3
33. 33.Write the ratio 42 : 12 in its simplest form. (a) 7 : 2 (b) 42 : 12 (c) 2 : 7 (d) 8 : 3
34. 34.5 : 9 = ? : 90
35. 35.A library shelf has 24 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 8 (b) 8 : 7 (c) 24 : 21 (d) 9 : 8
36. 36.6 : 7 = 36 : ?
37. 37.Are 30, 54, 45 and 83 in proportion? (a) Yes (b) No
38. 38.1 : 6 = ? : 24
39. 39.A class has 9 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 1 (b) 1 : 4 (c) 9 : 36 (d) 2 : 5
40. 40.Are 6, 14, 15 and 35 in proportion? (a) Yes (b) No

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