Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 349 · 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 class has 20 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 7 (b) 7 : 5 (c) 20 : 28 (d) 6 : 8
2. 2.5 : 9 = ? : 45
3. 3.8 : 9 = 24 : ?
4. 4.A class has 32 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 32 : 28 (b) 9 : 8 (c) 7 : 8 (d) 8 : 7
5. 5.If 4 ice creams cost ₹96, how many rupees do 5 ice creams cost?
6. 6.1 : 5 = ? : 40
7. 7.Write the ratio 27 : 15 in its simplest form. (a) 9 : 5 (b) 27 : 15 (c) 10 : 6 (d) 5 : 9
8. 8.If 5 chocolates cost ₹215, how many rupees do 10 chocolates cost?
9. 9.A class has 56 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 56 : 7 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
10. 10.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
11. 11.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
12. 12.Are 2, 18, 3 and 27 in proportion? (a) No (b) Yes
13. 13.A library shelf has 6 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 6 : 12
14. 14.5 : 6 = ? : 24
15. 15.5 : 7 = ? : 42
16. 16.4 : 5 = ? : 15
17. 17.A class has 3 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 3 : 9 (d) 3 : 1
18. 18.If 7 ice creams cost ₹35, how many rupees do 3 ice creams cost?
19. 19.If 4 chocolates cost ₹80, how many rupees do 6 chocolates cost?
20. 20.₹2080 is shared between Aditya and Rohan in the ratio 7 : 9. How many rupees does Rohan get?
21. 21.If 9 bus tickets cost ₹252, how many rupees do 7 bus tickets cost?
22. 22.Write the ratio 30 : 42 in its simplest form. (a) 7 : 5 (b) 30 : 42 (c) 5 : 7 (d) 6 : 8
23. 23.Are 20, 36, 35 and 65 in proportion? (a) Yes (b) No
24. 24.2 : 5 = 10 : ?
25. 25.2 : 9 = ? : 54
26. 26.Write the ratio 6 : 12 in its simplest form. (a) 2 : 3 (b) 6 : 12 (c) 1 : 2 (d) 2 : 1
27. 27.6 : 7 = 36 : ?
28. 28.7 : 9 = ? : 18
29. 29.A team has 10 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 16 (b) 6 : 9 (c) 8 : 5 (d) 5 : 8
30. 30.Are 9, 15, 12 and 21 in proportion? (a) No (b) Yes
31. 31.Are 3, 18, 7 and 42 in proportion? (a) Yes (b) No
32. 32.A basket has 72 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 10 (b) 9 : 8 (c) 72 : 81 (d) 8 : 9
33. 33.Are 42, 54, 14 and 18 in proportion? (a) No (b) Yes
34. 34.Are 2, 18, 6 and 56 in proportion? (a) Yes (b) No
35. 35.A library shelf has 56 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 56 : 63 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
36. 36.Write the ratio 9 : 36 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 9 : 36 (d) 4 : 1
37. 37.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
38. 38.₹360 is shared between Farhan and Isha in the ratio 1 : 5. How many rupees does Farhan get?
39. 39.Are 42, 48, 14 and 18 in proportion? (a) No (b) Yes
40. 40.If 8 chocolates cost ₹152, how many rupees do 7 chocolates cost?

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