Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 48 · 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.Write the ratio 36 : 30 in its simplest form. (a) 7 : 6 (b) 6 : 5 (c) 36 : 30 (d) 5 : 6
2. 2.If 3 ice creams cost ₹39, how many rupees do 8 ice creams cost?
3. 3.5 : 8 = ? : 24
4. 4.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
5. 5.Write the ratio 8 : 36 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 3 : 10 (d) 8 : 36
6. 6.Are 12, 18, 14 and 23 in proportion? (a) Yes (b) No
7. 7.A library shelf has 30 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 30 : 35 (c) 6 : 7 (d) 7 : 8
8. 8.Are 18, 48, 9 and 25 in proportion? (a) No (b) Yes
9. 9.A box has 81 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 81 : 36 (b) 4 : 9 (c) 10 : 5 (d) 9 : 4
10. 10.If 2 ice creams cost ₹56, how many rupees do 12 ice creams cost?
11. 11.A basket has 64 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 64 : 56 (b) 8 : 7 (c) 7 : 8 (d) 9 : 8
12. 12.If 3 mangoes cost ₹123, how many rupees do 7 mangoes cost?
13. 13.6 : 7 = ? : 42
14. 14.Write the ratio 72 : 45 in its simplest form. (a) 5 : 8 (b) 72 : 45 (c) 9 : 6 (d) 8 : 5
15. 15.₹1100 is shared between Aditya and Karan in the ratio 3 : 7. How many rupees does Karan get?
16. 16.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
17. 17.Write the ratio 20 : 25 in its simplest form. (a) 5 : 6 (b) 20 : 25 (c) 5 : 4 (d) 4 : 5
18. 18.Are 4, 16, 6 and 25 in proportion? (a) Yes (b) No
19. 19.A bus goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
20. 20.If 5 ice creams cost ₹225, how many rupees do 7 ice creams cost?
21. 21.₹90 is shared between Dev and Karan in the ratio 1 : 2. How many rupees does Dev get?
22. 22.8 : 9 = ? : 63
23. 23.Write the ratio 45 : 5 in its simplest form. (a) 1 : 9 (b) 45 : 5 (c) 9 : 1 (d) 10 : 2
24. 24.2 : 5 = ? : 30
25. 25.1 : 2 = ? : 8
26. 26.A basket has 20 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 20 : 4 (b) 5 : 1 (c) 1 : 5 (d) 6 : 2
27. 27.Write the ratio 9 : 36 in its simplest form. (a) 2 : 5 (b) 9 : 36 (c) 1 : 4 (d) 4 : 1
28. 28.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
29. 29.A basket has 21 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 7 (b) 7 : 5 (c) 21 : 15 (d) 8 : 6
30. 30.Are 10, 35, 16 and 57 in proportion? (a) Yes (b) No
31. 31.Are 5, 45, 7 and 66 in proportion? (a) Yes (b) No
32. 32.₹2340 is shared between Zoya and Saanvi in the ratio 5 : 8. How many rupees does Zoya get?
33. 33.Are 12, 15, 28 and 35 in proportion? (a) No (b) Yes
34. 34.A team has 24 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 24 : 32 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
35. 35.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 2 hours?
36. 36.Write the ratio 7 : 28 in its simplest form. (a) 4 : 1 (b) 7 : 28 (c) 2 : 5 (d) 1 : 4
37. 37.₹390 is shared between Joseph and Dev in the ratio 5 : 8. How many rupees does Joseph get?
38. 38.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
39. 39.4 : 5 = ? : 35
40. 40.A library shelf has 3 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 9 (b) 2 : 10 (c) 3 : 27 (d) 9 : 1

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