Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 242 · 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. 1.1 : 4 = 7 : ?
2. 2.Write the ratio 10 : 25 in its simplest form. (a) 3 : 6 (b) 5 : 2 (c) 10 : 25 (d) 2 : 5
3. 3.2 : 5 = ? : 20
4. 4.A box has 16 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 3 : 8 (c) 7 : 2 (d) 16 : 56
5. 5.A box has 18 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 6 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2
6. 6.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
7. 7.₹630 is shared between Karan and Saanvi in the ratio 2 : 7. How many rupees does Karan get?
8. 8.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
9. 9.₹1400 is shared between Karan and Ananya in the ratio 5 : 9. How many rupees does Ananya get?
10. 10.Write the ratio 4 : 24 in its simplest form. (a) 2 : 7 (b) 4 : 24 (c) 1 : 6 (d) 6 : 1
11. 11.Are 6, 21, 4 and 16 in proportion? (a) No (b) Yes
12. 12.Write the ratio 18 : 48 in its simplest form. (a) 8 : 3 (b) 3 : 8 (c) 18 : 48 (d) 4 : 9
13. 13.3 : 5 = ? : 30
14. 14.Are 4, 10, 10 and 25 in proportion? (a) No (b) Yes
15. 15.6 : 7 = 12 : ?
16. 16.₹1980 is shared between Tara and Isha in the ratio 2 : 9. How many rupees does Tara get?
17. 17.A library shelf has 16 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 18 (b) 8 : 9 (c) 9 : 8 (d) 9 : 10
18. 18.A team has 35 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 7 (b) 8 : 2 (c) 35 : 5 (d) 7 : 1
19. 19.Write the ratio 8 : 4 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 2 : 1 (d) 8 : 4
20. 20.Are 20, 36, 25 and 45 in proportion? (a) Yes (b) No
21. 21.₹910 is shared between Dev and Kabir in the ratio 6 : 7. How many rupees does Kabir get?
22. 22.Write the ratio 6 : 4 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 6 : 4 (d) 2 : 3
23. 23.1 : 9 = ? : 18
24. 24.Write the ratio 10 : 18 in its simplest form. (a) 10 : 18 (b) 5 : 9 (c) 6 : 10 (d) 9 : 5
25. 25.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
26. 26.A team has 15 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 9 (b) 15 : 24 (c) 5 : 8 (d) 8 : 5
27. 27.₹1000 is shared between Meera and Gurpreet in the ratio 1 : 9. How many rupees does Gurpreet get?
28. 28.Are 2, 18, 8 and 73 in proportion? (a) No (b) Yes
29. 29.Are 2, 16, 4 and 35 in proportion? (a) No (b) Yes
30. 30.₹1760 is shared between Lakshmi and Manav in the ratio 3 : 8. How many rupees does Manav get?
31. 31.₹900 is shared between Diya and Lakshmi in the ratio 4 : 5. How many rupees does Diya get?
32. 32.5 : 9 = ? : 27
33. 33.Are 14, 16, 63 and 75 in proportion? (a) Yes (b) No
34. 34.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
35. 35.A team has 6 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 6 : 4 (c) 2 : 3 (d) 4 : 3
36. 36.Write the ratio 4 : 10 in its simplest form. (a) 3 : 6 (b) 2 : 5 (c) 4 : 10 (d) 5 : 2
37. 37.Are 5, 40, 3 and 24 in proportion? (a) No (b) Yes
38. 38.A box has 42 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 7 : 8 (d) 42 : 49
39. 39.7 : 9 = ? : 27
40. 40.Are 30, 48, 10 and 17 in proportion? (a) Yes (b) No

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