Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 192 · 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.A basket has 6 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 6 : 3 (c) 3 : 2 (d) 1 : 2
2. 2.Write the ratio 12 : 30 in its simplest form. (a) 3 : 6 (b) 2 : 5 (c) 5 : 2 (d) 12 : 30
3. 3.Write the ratio 12 : 28 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 12 : 28 (d) 4 : 8
4. 4.Are 9, 12, 15 and 22 in proportion? (a) Yes (b) No
5. 5.Write the ratio 2 : 14 in its simplest form. (a) 1 : 7 (b) 2 : 8 (c) 2 : 14 (d) 7 : 1
6. 6.3 : 7 = ? : 35
7. 7.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
8. 8.Are 30, 42, 25 and 36 in proportion? (a) Yes (b) No
9. 9.Are 21, 27, 49 and 63 in proportion? (a) No (b) Yes
10. 10.If 3 notebooks cost ₹12, how many rupees do 5 notebooks cost?
11. 11.Are 2, 6, 7 and 21 in proportion? (a) Yes (b) No
12. 12.A team has 8 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 8 : 48 (c) 2 : 7 (d) 6 : 1
13. 13.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 1 hour?
14. 14.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
15. 15.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 4 hours?
16. 16.Write the ratio 4 : 36 in its simplest form. (a) 2 : 10 (b) 4 : 36 (c) 9 : 1 (d) 1 : 9
17. 17.If 5 pens cost ₹270, how many rupees do 4 pens cost?
18. 18.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 4 hours?
19. 19.₹520 is shared between Farhan and Rahul in the ratio 6 : 7. How many rupees does Farhan get?
20. 20.5 : 9 = ? : 81
21. 21.₹440 is shared between Saanvi and Isha in the ratio 2 : 9. How many rupees does Saanvi get?
22. 22.A box has 25 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 25 : 15 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
23. 23.Write the ratio 28 : 16 in its simplest form. (a) 4 : 7 (b) 8 : 5 (c) 28 : 16 (d) 7 : 4
24. 24.A team has 15 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 25 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
25. 25.₹200 is shared between Meera and Vivaan in the ratio 1 : 3. How many rupees does Meera get?
26. 26.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
27. 27.5 : 6 = 15 : ?
28. 28.Write the ratio 7 : 35 in its simplest form. (a) 1 : 5 (b) 7 : 35 (c) 5 : 1 (d) 2 : 6
29. 29.A library shelf has 15 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 3 (b) 5 : 2 (c) 15 : 6 (d) 2 : 5
30. 30.Are 12, 14, 24 and 28 in proportion? (a) Yes (b) No
31. 31.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
32. 32.Write the ratio 5 : 20 in its simplest form. (a) 2 : 5 (b) 4 : 1 (c) 1 : 4 (d) 5 : 20
33. 33.₹720 is shared between Sneha and Manav in the ratio 1 : 5. How many rupees does Manav get?
34. 34.5 : 6 = ? : 30
35. 35.A class has 64 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 64 : 24 (c) 3 : 8 (d) 8 : 3
36. 36.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) 10 : 5 (b) 4 : 9 (c) 81 : 36 (d) 9 : 4
37. 37.Write the ratio 18 : 9 in its simplest form. (a) 3 : 2 (b) 18 : 9 (c) 2 : 1 (d) 1 : 2
38. 38.If 4 notebooks cost ₹220, how many rupees do 11 notebooks cost?
39. 39.Are 35, 40, 56 and 64 in proportion? (a) Yes (b) No
40. 40.1 : 2 = ? : 14

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