Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 55 · 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.Are 10, 18, 25 and 46 in proportion? (a) No (b) Yes
2. 2.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
3. 3.5 : 9 = ? : 45
4. 4.A team has 64 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 64 : 40 (b) 8 : 5 (c) 9 : 6 (d) 5 : 8
5. 5.Write the ratio 56 : 24 in its simplest form. (a) 7 : 3 (b) 56 : 24 (c) 8 : 4 (d) 3 : 7
6. 6.A team has 32 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 32 : 20 (b) 8 : 5 (c) 5 : 8 (d) 9 : 6
7. 7.Write the ratio 15 : 25 in its simplest form. (a) 15 : 25 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
8. 8.Are 4, 28, 2 and 17 in proportion? (a) Yes (b) No
9. 9.Write the ratio 20 : 36 in its simplest form. (a) 20 : 36 (b) 5 : 9 (c) 6 : 10 (d) 9 : 5
10. 10.A garden has 7 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 49 (b) 2 : 8 (c) 1 : 7 (d) 7 : 1
11. 11.Write the ratio 20 : 8 in its simplest form. (a) 20 : 8 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
12. 12.2 : 7 = ? : 56
13. 13.Write the ratio 14 : 10 in its simplest form. (a) 8 : 6 (b) 5 : 7 (c) 14 : 10 (d) 7 : 5
14. 14.Write the ratio 32 : 28 in its simplest form. (a) 7 : 8 (b) 32 : 28 (c) 9 : 8 (d) 8 : 7
15. 15.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 7 : 49 (c) 1 : 7 (d) 2 : 8
16. 16.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
17. 17.If 7 pens cost ₹406, how many rupees do 8 pens cost?
18. 18.Are 15, 24, 25 and 40 in proportion? (a) Yes (b) No
19. 19.4 : 7 = ? : 21
20. 20.₹280 is shared between Isha and Saanvi in the ratio 3 : 4. How many rupees does Saanvi get?
21. 21.A box has 8 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 4 (b) 5 : 4 (c) 4 : 3 (d) 8 : 6
22. 22.A box has 63 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 5 (b) 63 : 28 (c) 4 : 9 (d) 9 : 4
23. 23.Write the ratio 72 : 40 in its simplest form. (a) 10 : 6 (b) 5 : 9 (c) 72 : 40 (d) 9 : 5
24. 24.Are 18, 24, 6 and 8 in proportion? (a) No (b) Yes
25. 25.Are 8, 12, 16 and 25 in proportion? (a) Yes (b) No
26. 26.A box has 6 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 6 : 48
27. 27.Write the ratio 30 : 35 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 30 : 35 (d) 7 : 6
28. 28.If 9 mangoes cost ₹216, how many rupees do 7 mangoes cost?
29. 29.3 : 5 = ? : 40
30. 30.₹1430 is shared between Saanvi and Ananya in the ratio 6 : 7. How many rupees does Saanvi get?
31. 31.4 : 7 = ? : 63
32. 32.If 3 mangoes cost ₹99, how many rupees do 11 mangoes cost?
33. 33.₹2520 is shared between Manav and Rohan in the ratio 5 : 9. How many rupees does Rohan get?
34. 34.₹1900 is shared between Manav and Kabir in the ratio 1 : 9. How many rupees does Manav get?
35. 35.₹1430 is shared between Aarav and Ishaan in the ratio 2 : 9. How many rupees does Ishaan get?
36. 36.Are 36, 42, 18 and 23 in proportion? (a) Yes (b) No
37. 37.3 : 4 = 21 : ?
38. 38.Write the ratio 36 : 16 in its simplest form. (a) 36 : 16 (b) 9 : 4 (c) 10 : 5 (d) 4 : 9
39. 39.A basket has 40 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 9 : 10 (c) 40 : 45 (d) 9 : 8
40. 40.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?

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