Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 310 · 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.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
2. 2.A garden has 12 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 3 : 7 (c) 12 : 28 (d) 4 : 8
3. 3.Are 8, 28, 6 and 21 in proportion? (a) Yes (b) No
4. 4.Are 3, 27, 8 and 75 in proportion? (a) No (b) Yes
5. 5.If 8 mangoes cost ₹352, how many rupees do 3 mangoes cost?
6. 6.1 : 9 = ? : 36
7. 7.₹420 is shared between Ishaan and Ananya in the ratio 3 : 4. How many rupees does Ishaan get?
8. 8.If 2 notebooks cost ₹70, how many rupees do 10 notebooks cost?
9. 9.₹850 is shared between Meera and Isha in the ratio 8 : 9. How many rupees does Meera get?
10. 10.A garden has 49 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 49 : 28 (b) 7 : 4 (c) 8 : 5 (d) 4 : 7
11. 11.If 2 pens cost ₹78, how many rupees do 6 pens cost?
12. 12.Write the ratio 16 : 6 in its simplest form. (a) 8 : 3 (b) 16 : 6 (c) 3 : 8 (d) 9 : 4
13. 13.5 : 8 = 15 : ?
14. 14.Write the ratio 4 : 18 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 4 : 18 (d) 2 : 9
15. 15.Write the ratio 42 : 54 in its simplest form. (a) 42 : 54 (b) 7 : 9 (c) 9 : 7 (d) 8 : 10
16. 16.1 : 6 = 10 : ?
17. 17.If 8 chocolates cost ₹448, how many rupees do 7 chocolates cost?
18. 18.A garden has 45 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 5 (b) 45 : 27 (c) 6 : 4 (d) 5 : 3
19. 19.Are 4, 20, 3 and 15 in proportion? (a) Yes (b) No
20. 20.1 : 4 = 2 : ?
21. 21.3 : 5 = ? : 20
22. 22.Write the ratio 63 : 7 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 10 : 2 (d) 63 : 7
23. 23.₹1870 is shared between Ananya and Nisha in the ratio 5 : 6. How many rupees does Nisha get?
24. 24.Write the ratio 9 : 6 in its simplest form. (a) 3 : 2 (b) 9 : 6 (c) 4 : 3 (d) 2 : 3
25. 25.Are 2, 14, 3 and 21 in proportion? (a) Yes (b) No
26. 26.Are 20, 25, 24 and 31 in proportion? (a) No (b) Yes
27. 27.8 : 9 = ? : 81
28. 28.Write the ratio 28 : 32 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 28 : 32 (d) 7 : 8
29. 29.A team has 24 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 24 : 32 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
30. 30.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
31. 31.Write the ratio 24 : 28 in its simplest form. (a) 24 : 28 (b) 7 : 8 (c) 6 : 7 (d) 7 : 6
32. 32.If 7 bus tickets cost ₹63, how many rupees do 12 bus tickets cost?
33. 33.A garden has 5 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 2 : 3 (c) 2 : 1 (d) 5 : 10
34. 34.Are 6, 16, 9 and 25 in proportion? (a) Yes (b) No
35. 35.Write the ratio 24 : 3 in its simplest form. (a) 24 : 3 (b) 1 : 8 (c) 8 : 1 (d) 9 : 2
36. 36.If 9 pens cost ₹432, how many rupees do 11 pens cost?
37. 37.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?
38. 38.A library shelf has 12 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 12 : 10 (c) 5 : 6 (d) 6 : 5
39. 39.Write the ratio 18 : 14 in its simplest form. (a) 18 : 14 (b) 9 : 7 (c) 7 : 9 (d) 10 : 8
40. 40.Are 10, 12, 35 and 42 in proportion? (a) No (b) Yes

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