Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 336 · 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.If 4 pens cost ₹80, how many rupees do 6 pens cost?
2. 2.Are 30, 54, 45 and 81 in proportion? (a) Yes (b) No
3. 3.1 : 4 = 2 : ?
4. 4.Are 3, 18, 7 and 42 in proportion? (a) No (b) Yes
5. 5.Are 2, 14, 5 and 35 in proportion? (a) No (b) Yes
6. 6.3 : 4 = ? : 40
7. 7.₹280 is shared between Aarav and Gurpreet in the ratio 1 : 6. How many rupees does Aarav get?
8. 8.Are 2, 10, 6 and 32 in proportion? (a) No (b) Yes
9. 9.₹2240 is shared between Kabir and Meera in the ratio 5 : 9. How many rupees does Kabir get?
10. 10.Write the ratio 21 : 9 in its simplest form. (a) 21 : 9 (b) 8 : 4 (c) 7 : 3 (d) 3 : 7
11. 11.2 : 5 = ? : 30
12. 12.Write the ratio 6 : 8 in its simplest form. (a) 3 : 4 (b) 6 : 8 (c) 4 : 5 (d) 4 : 3
13. 13.Are 3, 15, 2 and 12 in proportion? (a) No (b) Yes
14. 14.1 : 2 = 3 : ?
15. 15.A basket has 12 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 12 : 21
16. 16.A box has 9 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 3 (b) 2 : 1 (c) 9 : 18 (d) 1 : 2
17. 17.1 : 6 = 7 : ?
18. 18.₹2660 is shared between Manav and Pooja in the ratio 5 : 9. How many rupees does Manav get?
19. 19.A basket has 25 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 9 (b) 25 : 40 (c) 5 : 8 (d) 8 : 5
20. 20.A garden has 16 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 2 (b) 16 : 72 (c) 3 : 10 (d) 2 : 9
21. 21.Are 3, 21, 8 and 58 in proportion? (a) Yes (b) No
22. 22.Are 15, 21, 45 and 65 in proportion? (a) Yes (b) No
23. 23.Write the ratio 12 : 20 in its simplest form. (a) 12 : 20 (b) 5 : 3 (c) 3 : 5 (d) 4 : 6
24. 24.A class has 18 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 2 (b) 18 : 6 (c) 3 : 1 (d) 1 : 3
25. 25.Write the ratio 3 : 15 in its simplest form. (a) 3 : 15 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
26. 26.Write the ratio 3 : 12 in its simplest form. (a) 1 : 4 (b) 3 : 12 (c) 2 : 5 (d) 4 : 1
27. 27.₹2400 is shared between Riya and Meera in the ratio 5 : 7. How many rupees does Riya get?
28. 28.Write the ratio 5 : 20 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 5 : 20 (d) 2 : 5
29. 29.Are 3, 27, 7 and 63 in proportion? (a) No (b) Yes
30. 30.A garden has 18 rose plants and 48 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 18 : 48 (b) 3 : 8 (c) 8 : 3 (d) 4 : 9
31. 31.Write the ratio 35 : 25 in its simplest form. (a) 8 : 6 (b) 35 : 25 (c) 7 : 5 (d) 5 : 7
32. 32.A class has 28 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 28 : 24 (b) 8 : 7 (c) 7 : 6 (d) 6 : 7
33. 33.A library shelf has 2 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 2 : 4 (d) 2 : 3
34. 34.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 4 hours?
35. 35.If 5 mangoes cost ₹60, how many rupees do 3 mangoes cost?
36. 36.Are 12, 21, 16 and 28 in proportion? (a) No (b) Yes
37. 37.5 : 9 = 45 : ?
38. 38.Are 2, 12, 5 and 30 in proportion? (a) Yes (b) No
39. 39.Write the ratio 6 : 12 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 6 : 12
40. 40.If 2 mangoes cost ₹66, how many rupees do 11 mangoes cost?

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