Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 286 · 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.₹1650 is shared between Nisha and Ishaan in the ratio 7 : 8. How many rupees does Nisha get?
2. 2.2 : 9 = ? : 45
3. 3.Are 6, 30, 8 and 40 in proportion? (a) No (b) Yes
4. 4.1 : 5 = 4 : ?
5. 5.₹2340 is shared between Farhan and Aarav in the ratio 6 : 7. How many rupees does Aarav get?
6. 6.₹1980 is shared between Karan and Aditya in the ratio 2 : 9. How many rupees does Karan get?
7. 7.1 : 9 = 9 : ?
8. 8.Write the ratio 72 : 81 in its simplest form. (a) 9 : 8 (b) 72 : 81 (c) 9 : 10 (d) 8 : 9
9. 9.Are 36, 42, 24 and 28 in proportion? (a) Yes (b) No
10. 10.A library shelf has 2 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 1 (b) 2 : 12 (c) 2 : 7 (d) 1 : 6
11. 11.Are 28, 36, 63 and 83 in proportion? (a) Yes (b) No
12. 12.If 8 notebooks cost ₹432, how many rupees do 12 notebooks cost?
13. 13.2 : 3 = ? : 18
14. 14.5 : 9 = 50 : ?
15. 15.Are 2, 12, 7 and 44 in proportion? (a) Yes (b) No
16. 16.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) 18 : 24 (b) 3 : 4 (c) 4 : 5 (d) 4 : 3
17. 17.3 : 4 = ? : 24
18. 18.Are 8, 20, 18 and 46 in proportion? (a) Yes (b) No
19. 19.Write the ratio 8 : 14 in its simplest form. (a) 5 : 8 (b) 8 : 14 (c) 4 : 7 (d) 7 : 4
20. 20.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
21. 21.Write the ratio 35 : 56 in its simplest form. (a) 8 : 5 (b) 35 : 56 (c) 6 : 9 (d) 5 : 8
22. 22.7 : 9 = 63 : ?
23. 23.A library shelf has 81 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 81 : 36 (d) 4 : 9
24. 24.If 6 bus tickets cost ₹222, how many rupees do 4 bus tickets cost?
25. 25.A class has 32 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 32 : 24 (c) 4 : 3 (d) 5 : 4
26. 26.₹220 is shared between Sneha and Isha in the ratio 3 : 8. How many rupees does Isha get?
27. 27.2 : 7 = ? : 70
28. 28.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Write the ratio 7 : 35 in its simplest form. (a) 1 : 5 (b) 2 : 6 (c) 7 : 35 (d) 5 : 1
30. 30.3 : 5 = 12 : ?
31. 31.4 : 7 = 40 : ?
32. 32.A box has 21 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 21 : 27 (b) 7 : 9 (c) 8 : 10 (d) 9 : 7
33. 33.5 : 8 = ? : 40
34. 34.A team has 10 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 5 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
35. 35.Are 6, 15, 8 and 20 in proportion? (a) Yes (b) No
36. 36.8 : 9 = ? : 81
37. 37.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
38. 38.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
39. 39.Are 25, 45, 40 and 72 in proportion? (a) Yes (b) No
40. 40.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?

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