Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 244 · 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 15, 40, 18 and 48 in proportion? (a) No (b) Yes
2. 2.A class has 2 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 1 (b) 1 : 6 (c) 2 : 12 (d) 2 : 7
3. 3.Write the ratio 14 : 18 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 14 : 18 (d) 7 : 9
4. 4.Write the ratio 20 : 28 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 5 : 7 (d) 20 : 28
5. 5.Are 5, 10, 4 and 9 in proportion? (a) Yes (b) No
6. 6.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
7. 7.A garden has 8 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 8 : 14 (d) 7 : 4
8. 8.2 : 7 = 14 : ?
9. 9.₹560 is shared between Zoya and Sneha in the ratio 1 : 7. How many rupees does Zoya get?
10. 10.If 5 chocolates cost ₹35, how many rupees do 6 chocolates cost?
11. 11.Write the ratio 21 : 24 in its simplest form. (a) 8 : 9 (b) 21 : 24 (c) 8 : 7 (d) 7 : 8
12. 12.5 : 9 = 45 : ?
13. 13.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
14. 14.Write the ratio 12 : 4 in its simplest form. (a) 1 : 3 (b) 12 : 4 (c) 3 : 1 (d) 4 : 2
15. 15.Are 35, 45, 56 and 73 in proportion? (a) Yes (b) No
16. 16.If 5 chocolates cost ₹260, how many rupees do 10 chocolates cost?
17. 17.3 : 4 = 30 : ?
18. 18.8 : 9 = ? : 54
19. 19.Are 5, 40, 4 and 32 in proportion? (a) Yes (b) No
20. 20.1 : 9 = ? : 81
21. 21.3 : 4 = 27 : ?
22. 22.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
23. 23.A car goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
24. 24.₹700 is shared between Ishaan and Isha in the ratio 3 : 7. How many rupees does Isha get?
25. 25.If 7 pens cost ₹56, how many rupees do 10 pens cost?
26. 26.Are 15, 20, 6 and 10 in proportion? (a) No (b) Yes
27. 27.5 : 8 = ? : 16
28. 28.Are 2, 16, 5 and 40 in proportion? (a) No (b) Yes
29. 29.If 5 pens cost ₹260, how many rupees do 9 pens cost?
30. 30.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
31. 31.Write the ratio 40 : 35 in its simplest form. (a) 9 : 8 (b) 40 : 35 (c) 7 : 8 (d) 8 : 7
32. 32.Write the ratio 64 : 24 in its simplest form. (a) 9 : 4 (b) 8 : 3 (c) 64 : 24 (d) 3 : 8
33. 33.Are 6, 30, 5 and 28 in proportion? (a) Yes (b) No
34. 34.A basket has 30 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 30 : 54 (d) 6 : 10
35. 35.A team has 10 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 10 : 6
36. 36.Are 25, 40, 45 and 72 in proportion? (a) No (b) Yes
37. 37.Write the ratio 42 : 54 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 7 : 9 (d) 42 : 54
38. 38.Write the ratio 21 : 27 in its simplest form. (a) 8 : 10 (b) 21 : 27 (c) 9 : 7 (d) 7 : 9
39. 39.8 : 9 = 32 : ?
40. 40.Write the ratio 6 : 24 in its simplest form. (a) 6 : 24 (b) 2 : 5 (c) 4 : 1 (d) 1 : 4

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