Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 187 · 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.Are 35, 40, 14 and 16 in proportion? (a) No (b) Yes
3. 3.Write the ratio 16 : 8 in its simplest form. (a) 16 : 8 (b) 2 : 1 (c) 1 : 2 (d) 3 : 2
4. 4.5 : 6 = ? : 42
5. 5.A box has 27 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 5 (b) 4 : 6 (c) 27 : 45 (d) 5 : 3
6. 6.1 : 2 = 3 : ?
7. 7.Write the ratio 25 : 5 in its simplest form. (a) 5 : 1 (b) 6 : 2 (c) 25 : 5 (d) 1 : 5
8. 8.Are 4, 10, 10 and 25 in proportion? (a) No (b) Yes
9. 9.Write the ratio 30 : 54 in its simplest form. (a) 9 : 5 (b) 30 : 54 (c) 5 : 9 (d) 6 : 10
10. 10.If 7 pens cost ₹287, how many rupees do 8 pens cost?
11. 11.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
12. 12.Are 15, 27, 35 and 64 in proportion? (a) Yes (b) No
13. 13.Are 15, 21, 35 and 51 in proportion? (a) No (b) Yes
14. 14.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 1 hour?
15. 15.Write the ratio 24 : 21 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 24 : 21 (d) 7 : 8
16. 16.3 : 8 = ? : 40
17. 17.₹360 is shared between Kabir and Aarav in the ratio 4 : 5. How many rupees does Kabir get?
18. 18.A class has 9 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 9 : 18 (c) 1 : 2 (d) 2 : 1
19. 19.₹800 is shared between Rahul and Aditya in the ratio 1 : 7. How many rupees does Rahul get?
20. 20.Write the ratio 4 : 14 in its simplest form. (a) 4 : 14 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
21. 21.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 2 hours?
22. 22.Write the ratio 42 : 36 in its simplest form. (a) 42 : 36 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
23. 23.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 8 hours?
24. 24.Are 24, 30, 8 and 11 in proportion? (a) No (b) Yes
25. 25.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
26. 26.Are 18, 48, 15 and 42 in proportion? (a) No (b) Yes
27. 27.Write the ratio 4 : 6 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 4 : 6
28. 28.A library shelf has 42 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 7 (b) 42 : 54 (c) 7 : 9 (d) 8 : 10
29. 29.Write the ratio 16 : 24 in its simplest form. (a) 2 : 3 (b) 3 : 4 (c) 3 : 2 (d) 16 : 24
30. 30.8 : 9 = 32 : ?
31. 31.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
32. 32.If 2 pens cost ₹28, how many rupees do 8 pens cost?
33. 33.2 : 3 = ? : 24
34. 34.A team has 10 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 18 (b) 9 : 5 (c) 5 : 9 (d) 6 : 10
35. 35.If 3 mangoes cost ₹81, how many rupees do 11 mangoes cost?
36. 36.A team has 18 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 9 (b) 18 : 2 (c) 10 : 2 (d) 9 : 1
37. 37.Are 9, 12, 24 and 35 in proportion? (a) No (b) Yes
38. 38.Are 9, 12, 18 and 25 in proportion? (a) No (b) Yes
39. 39.₹1120 is shared between Saanvi and Riya in the ratio 5 : 9. How many rupees does Saanvi get?
40. 40.₹910 is shared between Meera and Riya in the ratio 6 : 7. How many rupees does Meera get?

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