Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 9 · 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 box has 81 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 81 : 45 (b) 5 : 9 (c) 9 : 5 (d) 10 : 6
2. 2.₹540 is shared between Rohan and Rahul in the ratio 1 : 2. How many rupees does Rohan get?
3. 3.Write the ratio 21 : 27 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 7 : 9 (d) 21 : 27
4. 4.Write the ratio 40 : 64 in its simplest form. (a) 40 : 64 (b) 5 : 8 (c) 6 : 9 (d) 8 : 5
5. 5.1 : 4 = ? : 36
6. 6.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
7. 7.8 : 9 = ? : 45
8. 8.A team has 72 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 5 (b) 72 : 45 (c) 9 : 6 (d) 5 : 8
9. 9.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
10. 10.Are 6, 21, 4 and 14 in proportion? (a) No (b) Yes
11. 11.₹600 is shared between Isha and Tara in the ratio 1 : 3. How many rupees does Isha get?
12. 12.A train goes 390 km in 6 hours. At the same speed, how many km does it go in 8 hours?
13. 13.A team has 12 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 12 : 4 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
14. 14.A box has 12 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 12 : 30 (d) 2 : 5
15. 15.A library shelf has 21 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 21 : 12 (d) 8 : 5
16. 16.₹3060 is shared between Zoya and Farhan in the ratio 8 : 9. How many rupees does Farhan get?
17. 17.If 7 ice creams cost ₹147, how many rupees do 3 ice creams cost?
18. 18.2 : 9 = 12 : ?
19. 19.5 : 6 = ? : 48
20. 20.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 1 hour?
21. 21.Are 12, 54, 18 and 84 in proportion? (a) No (b) Yes
22. 22.If 6 ice creams cost ₹72, how many rupees do 7 ice creams cost?
23. 23.6 : 7 = ? : 49
24. 24.Write the ratio 35 : 40 in its simplest form. (a) 8 : 7 (b) 35 : 40 (c) 7 : 8 (d) 8 : 9
25. 25.If 9 chocolates cost ₹63, how many rupees do 6 chocolates cost?
26. 26.If 7 notebooks cost ₹63, how many rupees do 5 notebooks cost?
27. 27.A class has 12 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 5 (b) 12 : 10 (c) 7 : 6 (d) 5 : 6
28. 28.Are 35, 40, 63 and 74 in proportion? (a) Yes (b) No
29. 29.3 : 8 = ? : 64
30. 30.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
31. 31.Write the ratio 42 : 7 in its simplest form. (a) 6 : 1 (b) 7 : 2 (c) 42 : 7 (d) 1 : 6
32. 32.7 : 8 = 14 : ?
33. 33.If 4 chocolates cost ₹44, how many rupees do 5 chocolates cost?
34. 34.5 : 8 = 45 : ?
35. 35.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
36. 36.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
37. 37.Write the ratio 21 : 7 in its simplest form. (a) 3 : 1 (b) 4 : 2 (c) 1 : 3 (d) 21 : 7
38. 38.6 : 7 = 30 : ?
39. 39.1 : 9 = ? : 90
40. 40.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 3 hours?

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