Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 25 · 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 54 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 10 : 6 (d) 54 : 30
2. 2.Write the ratio 12 : 4 in its simplest form. (a) 3 : 1 (b) 4 : 2 (c) 12 : 4 (d) 1 : 3
3. 3.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 7 hours?
4. 4.₹1300 is shared between Zoya and Vivaan in the ratio 4 : 9. How many rupees does Vivaan get?
5. 5.Write the ratio 16 : 10 in its simplest form. (a) 9 : 6 (b) 16 : 10 (c) 5 : 8 (d) 8 : 5
6. 6.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
7. 7.A team has 48 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 10 (b) 9 : 8 (c) 48 : 54 (d) 8 : 9
8. 8.Write the ratio 24 : 30 in its simplest form. (a) 5 : 4 (b) 5 : 6 (c) 4 : 5 (d) 24 : 30
9. 9.1 : 9 = 7 : ?
10. 10.A scooter goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
11. 11.A library shelf has 45 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 45 : 27 (d) 5 : 3
12. 12.1 : 7 = 10 : ?
13. 13.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 8 hours?
14. 14.A team has 24 batters and 64 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 9 (b) 3 : 8 (c) 8 : 3 (d) 24 : 64
15. 15.Are 3, 18, 7 and 44 in proportion? (a) No (b) Yes
16. 16.A garden has 40 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 40 : 15 (d) 8 : 3
17. 17.If 8 ice creams cost ₹200, how many rupees do 2 ice creams cost?
18. 18.Write the ratio 15 : 3 in its simplest form. (a) 15 : 3 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
19. 19.Are 40, 45, 64 and 72 in proportion? (a) Yes (b) No
20. 20.A garden has 21 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 9 (b) 8 : 7 (c) 21 : 24 (d) 7 : 8
21. 21.2 : 7 = 10 : ?
22. 22.If 5 mangoes cost ₹35, how many rupees do 9 mangoes cost?
23. 23.Write the ratio 2 : 18 in its simplest form. (a) 2 : 10 (b) 2 : 18 (c) 1 : 9 (d) 9 : 1
24. 24.Are 4, 20, 9 and 45 in proportion? (a) Yes (b) No
25. 25.3 : 5 = 18 : ?
26. 26.Are 4, 32, 5 and 40 in proportion? (a) No (b) Yes
27. 27.2 : 5 = 20 : ?
28. 28.A library shelf has 35 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 35 : 45 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
29. 29.₹1040 is shared between Kavya and Pooja in the ratio 1 : 7. How many rupees does Kavya get?
30. 30.Are 15, 20, 18 and 25 in proportion? (a) No (b) Yes
31. 31.A box has 36 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 1 : 4 (d) 36 : 9
32. 32.Write the ratio 12 : 20 in its simplest form. (a) 5 : 3 (b) 4 : 6 (c) 12 : 20 (d) 3 : 5
33. 33.1 : 3 = ? : 21
34. 34.Are 30, 35, 24 and 28 in proportion? (a) No (b) Yes
35. 35.Are 9, 12, 12 and 17 in proportion? (a) Yes (b) No
36. 36.A library shelf has 4 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 4 : 18 (d) 9 : 2
37. 37.1 : 3 = 10 : ?
38. 38.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
39. 39.1 : 5 = 2 : ?
40. 40.6 : 7 = 12 : ?

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