Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 96 · 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 64 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 64 : 24 (d) 8 : 3
2. 2.5 : 8 = 10 : ?
3. 3.Are 18, 30, 21 and 35 in proportion? (a) No (b) Yes
4. 4.A team has 12 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 12 : 20 (d) 4 : 6
5. 5.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
6. 6.2 : 3 = 10 : ?
7. 7.Write the ratio 49 : 63 in its simplest form. (a) 8 : 10 (b) 49 : 63 (c) 7 : 9 (d) 9 : 7
8. 8.₹630 is shared between Sneha and Tara in the ratio 2 : 7. How many rupees does Sneha get?
9. 9.₹440 is shared between Priya and Karan in the ratio 4 : 7. How many rupees does Priya get?
10. 10.Write the ratio 49 : 56 in its simplest form. (a) 7 : 8 (b) 49 : 56 (c) 8 : 9 (d) 8 : 7
11. 11.A garden has 9 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 1 : 3 (d) 9 : 27
12. 12.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
13. 13.If 2 mangoes cost ₹94, how many rupees do 3 mangoes cost?
14. 14.Are 18, 42, 15 and 35 in proportion? (a) Yes (b) No
15. 15.Write the ratio 5 : 20 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 5 : 20
16. 16.₹1300 is shared between Vivaan and Tara in the ratio 4 : 9. How many rupees does Vivaan get?
17. 17.Are 10, 12, 25 and 31 in proportion? (a) Yes (b) No
18. 18.A garden has 16 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 8 (b) 9 : 4 (c) 8 : 3 (d) 16 : 6
19. 19.Are 10, 12, 25 and 32 in proportion? (a) No (b) Yes
20. 20.7 : 9 = ? : 72
21. 21.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
22. 22.A team has 42 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 42 : 48 (b) 8 : 7 (c) 8 : 9 (d) 7 : 8
23. 23.If 7 ice creams cost ₹308, how many rupees do 3 ice creams cost?
24. 24.A team has 9 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 4 : 5 (c) 9 : 12 (d) 3 : 4
25. 25.A class has 35 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 35 : 21
26. 26.If 5 pens cost ₹280, how many rupees do 10 pens cost?
27. 27.Are 2, 4, 9 and 21 in proportion? (a) Yes (b) No
28. 28.A library shelf has 4 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 20 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
29. 29.Write the ratio 9 : 6 in its simplest form. (a) 9 : 6 (b) 2 : 3 (c) 4 : 3 (d) 3 : 2
30. 30.1 : 6 = ? : 24
31. 31.1 : 7 = ? : 49
32. 32.Write the ratio 5 : 30 in its simplest form. (a) 6 : 1 (b) 5 : 30 (c) 1 : 6 (d) 2 : 7
33. 33.If 6 notebooks cost ₹42, how many rupees do 5 notebooks cost?
34. 34.Write the ratio 21 : 9 in its simplest form. (a) 21 : 9 (b) 3 : 7 (c) 7 : 3 (d) 8 : 4
35. 35.Write the ratio 56 : 32 in its simplest form. (a) 4 : 7 (b) 56 : 32 (c) 8 : 5 (d) 7 : 4
36. 36.1 : 7 = ? : 28
37. 37.3 : 8 = ? : 24
38. 38.If 4 ice creams cost ₹48, how many rupees do 2 ice creams cost?
39. 39.Are 28, 32, 42 and 49 in proportion? (a) Yes (b) No
40. 40.A garden has 16 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 16 : 24

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