Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 108 · 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. 1.5 : 6 = 30 : ?
2. 2.4 : 5 = 8 : ?
3. 3.₹2210 is shared between Kabir and Nisha in the ratio 8 : 9. How many rupees does Kabir get?
4. 4.A box has 9 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 9 : 72
5. 5.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
6. 6.₹1320 is shared between Zoya and Ananya in the ratio 2 : 9. How many rupees does Zoya get?
7. 7.₹1650 is shared between Priya and Rohan in the ratio 2 : 9. How many rupees does Rohan get?
8. 8.Write the ratio 20 : 12 in its simplest form. (a) 3 : 5 (b) 6 : 4 (c) 5 : 3 (d) 20 : 12
9. 9.A team has 27 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 2 (b) 27 : 3 (c) 9 : 1 (d) 1 : 9
10. 10.If 7 pens cost ₹126, how many rupees do 5 pens cost?
11. 11.2 : 3 = ? : 30
12. 12.Write the ratio 72 : 16 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 72 : 16
13. 13.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
14. 14.If 2 notebooks cost ₹22, how many rupees do 10 notebooks cost?
15. 15.5 : 6 = ? : 48
16. 16.Are 4, 18, 10 and 45 in proportion? (a) Yes (b) No
17. 17.4 : 5 = ? : 25
18. 18.Write the ratio 4 : 28 in its simplest form. (a) 4 : 28 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
19. 19.3 : 8 = ? : 80
20. 20.Write the ratio 40 : 45 in its simplest form. (a) 40 : 45 (b) 8 : 9 (c) 9 : 8 (d) 9 : 10
21. 21.Are 24, 30, 16 and 20 in proportion? (a) No (b) Yes
22. 22.A team has 27 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 5 (b) 27 : 12 (c) 9 : 4 (d) 4 : 9
23. 23.5 : 8 = ? : 32
24. 24.Are 2, 6, 9 and 28 in proportion? (a) Yes (b) No
25. 25.1 : 8 = 8 : ?
26. 26.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 4 hours?
27. 27.₹2210 is shared between Ananya and Manav in the ratio 8 : 9. How many rupees does Manav get?
28. 28.Write the ratio 9 : 81 in its simplest form. (a) 9 : 81 (b) 2 : 10 (c) 9 : 1 (d) 1 : 9
29. 29.Write the ratio 12 : 32 in its simplest form. (a) 12 : 32 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
30. 30.A team has 27 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 4 (b) 4 : 3 (c) 4 : 5 (d) 27 : 36
31. 31.Write the ratio 10 : 8 in its simplest form. (a) 10 : 8 (b) 5 : 4 (c) 6 : 5 (d) 4 : 5
32. 32.1 : 2 = 8 : ?
33. 33.₹1260 is shared between Rohan and Zoya in the ratio 3 : 4. How many rupees does Rohan get?
34. 34.A basket has 21 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 21 : 35 (c) 4 : 6 (d) 3 : 5
35. 35.Write the ratio 4 : 14 in its simplest form. (a) 4 : 14 (b) 7 : 2 (c) 2 : 7 (d) 3 : 8
36. 36.1 : 8 = 4 : ?
37. 37.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
38. 38.2 : 3 = ? : 12
39. 39.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
40. 40.3 : 5 = 9 : ?

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