Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 24 · 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 4, 6, 8 and 13 in proportion? (a) Yes (b) No
2. 2.2 : 9 = ? : 45
3. 3.A class has 14 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 14 : 35 (b) 3 : 6 (c) 2 : 5 (d) 5 : 2
4. 4.₹780 is shared between Farhan and Ishaan in the ratio 4 : 9. How many rupees does Farhan get?
5. 5.1 : 5 = 9 : ?
6. 6.A box has 48 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 9 : 4 (c) 48 : 18 (d) 8 : 3
7. 7.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
8. 8.Are 6, 14, 27 and 64 in proportion? (a) No (b) Yes
9. 9.A box has 35 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 7 : 2 (c) 2 : 7 (d) 35 : 10
10. 10.2 : 9 = ? : 27
11. 11.Write the ratio 5 : 20 in its simplest form. (a) 2 : 5 (b) 4 : 1 (c) 5 : 20 (d) 1 : 4
12. 12.A class has 48 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 9 : 6 (d) 48 : 30
13. 13.Write the ratio 54 : 42 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 10 : 8 (d) 54 : 42
14. 14.1 : 2 = ? : 18
15. 15.If 7 mangoes cost ₹231, how many rupees do 3 mangoes cost?
16. 16.Are 4, 6, 16 and 26 in proportion? (a) No (b) Yes
17. 17.Write the ratio 18 : 45 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 18 : 45
18. 18.A library shelf has 45 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 6 : 4 (c) 5 : 3 (d) 45 : 27
19. 19.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 8 hours?
20. 20.₹80 is shared between Riya and Dev in the ratio 1 : 7. How many rupees does Riya get?
21. 21.5 : 8 = ? : 32
22. 22.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 8 hours?
23. 23.Are 3, 6, 4 and 11 in proportion? (a) Yes (b) No
24. 24.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
25. 25.Write the ratio 10 : 8 in its simplest form. (a) 4 : 5 (b) 10 : 8 (c) 5 : 4 (d) 6 : 5
26. 26.5 : 6 = 45 : ?
27. 27.Are 48, 54, 16 and 18 in proportion? (a) No (b) Yes
28. 28.Write the ratio 81 : 45 in its simplest form. (a) 9 : 5 (b) 81 : 45 (c) 5 : 9 (d) 10 : 6
29. 29.Are 12, 16, 15 and 21 in proportion? (a) Yes (b) No
30. 30.Are 6, 15, 10 and 27 in proportion? (a) Yes (b) No
31. 31.A garden has 20 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 5 : 10 (d) 20 : 45
32. 32.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 6 : 5 (d) 35 : 28
33. 33.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 7 hours?
34. 34.A class has 16 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 16 : 4 (c) 1 : 4 (d) 4 : 1
35. 35.Write the ratio 3 : 9 in its simplest form. (a) 1 : 3 (b) 3 : 9 (c) 2 : 4 (d) 3 : 1
36. 36.₹450 is shared between Manav and Riya in the ratio 2 : 7. How many rupees does Manav get?
37. 37.₹1210 is shared between Kavya and Kabir in the ratio 5 : 6. How many rupees does Kabir get?
38. 38.5 : 6 = ? : 42
39. 39.3 : 4 = ? : 8
40. 40.3 : 4 = ? : 40

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