Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 54 · 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. 1.4 : 9 = ? : 63
2. 2.If 6 bus tickets cost ₹210, how many rupees do 7 bus tickets cost?
3. 3.Are 14, 18, 56 and 72 in proportion? (a) Yes (b) No
4. 4.Write the ratio 20 : 24 in its simplest form. (a) 5 : 6 (b) 6 : 5 (c) 20 : 24 (d) 6 : 7
5. 5.A library shelf has 15 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 1 (b) 6 : 2 (c) 15 : 3 (d) 1 : 5
6. 6.A team has 10 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 1 (b) 10 : 5 (c) 1 : 2 (d) 3 : 2
7. 7.If 5 bus tickets cost ₹105, how many rupees do 9 bus tickets cost?
8. 8.Are 9, 15, 24 and 40 in proportion? (a) Yes (b) No
9. 9.Write the ratio 12 : 15 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 12 : 15 (d) 5 : 6
10. 10.A basket has 4 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 4 : 6 (c) 3 : 2 (d) 3 : 4
11. 11.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
12. 12.Are 4, 16, 2 and 11 in proportion? (a) No (b) Yes
13. 13.4 : 9 = 36 : ?
14. 14.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 7 hours?
15. 15.5 : 6 = ? : 30
16. 16.Write the ratio 25 : 5 in its simplest form. (a) 1 : 5 (b) 25 : 5 (c) 5 : 1 (d) 6 : 2
17. 17.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 1 hour?
18. 18.Write the ratio 14 : 16 in its simplest form. (a) 14 : 16 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
19. 19.Are 15, 40, 24 and 65 in proportion? (a) Yes (b) No
20. 20.Write the ratio 40 : 72 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 40 : 72 (d) 6 : 10
21. 21.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 1 hour?
22. 22.3 : 4 = ? : 24
23. 23.Write the ratio 7 : 35 in its simplest form. (a) 1 : 5 (b) 7 : 35 (c) 2 : 6 (d) 5 : 1
24. 24.Are 2, 6, 5 and 16 in proportion? (a) Yes (b) No
25. 25.If 7 mangoes cost ₹287, how many rupees do 5 mangoes cost?
26. 26.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
27. 27.Write the ratio 14 : 2 in its simplest form. (a) 14 : 2 (b) 1 : 7 (c) 7 : 1 (d) 8 : 2
28. 28.₹660 is shared between Diya and Karan in the ratio 1 : 5. How many rupees does Karan get?
29. 29.If 6 chocolates cost ₹198, how many rupees do 2 chocolates cost?
30. 30.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
31. 31.3 : 5 = ? : 15
32. 32.₹200 is shared between Kabir and Manav in the ratio 3 : 7. How many rupees does Manav get?
33. 33.A class has 25 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 25 : 10 (d) 6 : 3
34. 34.Are 6, 15, 4 and 11 in proportion? (a) No (b) Yes
35. 35.Are 42, 54, 49 and 63 in proportion? (a) No (b) Yes
36. 36.1 : 7 = 4 : ?
37. 37.Write the ratio 35 : 40 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 35 : 40 (d) 8 : 7
38. 38.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
39. 39.Write the ratio 9 : 24 in its simplest form. (a) 3 : 8 (b) 4 : 9 (c) 9 : 24 (d) 8 : 3
40. 40.Write the ratio 49 : 42 in its simplest form. (a) 6 : 7 (b) 7 : 6 (c) 8 : 7 (d) 49 : 42

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