Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 93 · 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. 1.3 : 5 = ? : 10
2. 2.Write the ratio 72 : 81 in its simplest form. (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 72 : 81
3. 3.A library shelf has 14 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 3 (b) 14 : 6 (c) 3 : 7 (d) 8 : 4
4. 4.5 : 9 = ? : 27
5. 5.₹280 is shared between Pooja and Rohan in the ratio 1 : 6. How many rupees does Rohan get?
6. 6.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
7. 7.Write the ratio 10 : 14 in its simplest form. (a) 6 : 8 (b) 5 : 7 (c) 7 : 5 (d) 10 : 14
8. 8.If 6 notebooks cost ₹348, how many rupees do 9 notebooks cost?
9. 9.3 : 8 = 27 : ?
10. 10.A box has 24 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 27 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10
11. 11.4 : 5 = ? : 30
12. 12.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
13. 13.7 : 9 = ? : 27
14. 14.Are 4, 14, 16 and 56 in proportion? (a) Yes (b) No
15. 15.If 9 mangoes cost ₹387, how many rupees do 5 mangoes cost?
16. 16.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 2 hours?
17. 17.Write the ratio 63 : 36 in its simplest form. (a) 4 : 7 (b) 63 : 36 (c) 8 : 5 (d) 7 : 4
18. 18.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 8 hours?
19. 19.A garden has 16 rose plants and 40 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 6 (b) 16 : 40 (c) 2 : 5 (d) 5 : 2
20. 20.Are 35, 45, 49 and 63 in proportion? (a) Yes (b) No
21. 21.6 : 7 = ? : 21
22. 22.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
23. 23.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
24. 24.Write the ratio 56 : 48 in its simplest form. (a) 6 : 7 (b) 8 : 7 (c) 7 : 6 (d) 56 : 48
25. 25.A basket has 81 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 81 : 9 (c) 10 : 2 (d) 9 : 1
26. 26.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 5 hours?
27. 27.6 : 7 = 42 : ?
28. 28.If 7 pens cost ₹203, how many rupees do 5 pens cost?
29. 29.Write the ratio 15 : 9 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 15 : 9 (d) 3 : 5
30. 30.Are 8, 12, 18 and 30 in proportion? (a) Yes (b) No
31. 31.4 : 9 = ? : 90
32. 32.2 : 7 = ? : 35
33. 33.A basket has 7 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 10 (b) 7 : 63 (c) 9 : 1 (d) 1 : 9
34. 34.₹1520 is shared between Sneha and Karan in the ratio 1 : 7. How many rupees does Sneha get?
35. 35.A box has 45 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 5 (b) 45 : 9 (c) 5 : 1 (d) 6 : 2
36. 36.₹2550 is shared between Nisha and Ishaan in the ratio 8 : 9. How many rupees does Nisha get?
37. 37.1 : 3 = 3 : ?
38. 38.Are 4, 18, 8 and 36 in proportion? (a) No (b) Yes
39. 39.A box has 10 red pens and 5 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 1 (b) 3 : 2 (c) 1 : 2 (d) 10 : 5
40. 40.A team has 40 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 40 : 72 (d) 6 : 10

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