Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 386 · 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 35, 40, 49 and 56 in proportion? (a) No (b) Yes
2. 2.A box has 4 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 1 (b) 4 : 12 (c) 2 : 4 (d) 1 : 3
3. 3.Write the ratio 14 : 63 in its simplest form. (a) 14 : 63 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
4. 4.Write the ratio 28 : 8 in its simplest form. (a) 28 : 8 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
5. 5.Are 15, 27, 45 and 81 in proportion? (a) No (b) Yes
6. 6.Write the ratio 9 : 72 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 9 : 72
7. 7.1 : 3 = ? : 6
8. 8.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 8 hours?
9. 9.₹1120 is shared between Kavya and Rahul in the ratio 1 : 6. How many rupees does Kavya get?
10. 10.If 2 chocolates cost ₹100, how many rupees do 4 chocolates cost?
11. 11.A team has 42 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 42 : 54 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
12. 12.₹210 is shared between Lakshmi and Riya in the ratio 3 : 4. How many rupees does Riya get?
13. 13.Write the ratio 45 : 54 in its simplest form. (a) 6 : 7 (b) 5 : 6 (c) 45 : 54 (d) 6 : 5
14. 14.6 : 7 = 18 : ?
15. 15.1 : 2 = ? : 4
16. 16.₹2520 is shared between Aditya and Saanvi in the ratio 5 : 9. How many rupees does Aditya get?
17. 17.Are 9, 12, 12 and 19 in proportion? (a) No (b) Yes
18. 18.Are 4, 10, 6 and 17 in proportion? (a) Yes (b) No
19. 19.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
20. 20.A box has 18 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 18 : 24
21. 21.1 : 5 = ? : 40
22. 22.A class has 4 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 32 (b) 8 : 1 (c) 2 : 9 (d) 1 : 8
23. 23.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
24. 24.A library shelf has 54 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 54 : 9 (b) 1 : 6 (c) 7 : 2 (d) 6 : 1
25. 25.2 : 5 = ? : 15
26. 26.Write the ratio 49 : 35 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 49 : 35 (d) 8 : 6
27. 27.₹680 is shared between Kabir and Zoya in the ratio 8 : 9. How many rupees does Zoya get?
28. 28.5 : 7 = 45 : ?
29. 29.A garden has 25 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 4 (b) 25 : 20 (c) 6 : 5 (d) 4 : 5
30. 30.Write the ratio 9 : 21 in its simplest form. (a) 9 : 21 (b) 7 : 3 (c) 3 : 7 (d) 4 : 8
31. 31.₹420 is shared between Dev and Diya in the ratio 3 : 4. How many rupees does Dev get?
32. 32.Write the ratio 8 : 14 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 5 : 8 (d) 8 : 14
33. 33.₹780 is shared between Nisha and Sneha in the ratio 4 : 9. How many rupees does Nisha get?
34. 34.Are 3, 27, 6 and 54 in proportion? (a) Yes (b) No
35. 35.5 : 6 = 45 : ?
36. 36.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
37. 37.1 : 2 = 10 : ?
38. 38.3 : 8 = 30 : ?
39. 39.A box has 2 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 1 (b) 2 : 4 (c) 2 : 3 (d) 1 : 2
40. 40.₹130 is shared between Dev and Farhan in the ratio 6 : 7. How many rupees does Dev get?

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