Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 106 · 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 class has 56 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 56 : 21 (d) 8 : 3
2. 2.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 3 hours?
3. 3.Write the ratio 15 : 10 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 2 : 3 (d) 15 : 10
4. 4.Write the ratio 45 : 35 in its simplest form. (a) 10 : 8 (b) 7 : 9 (c) 9 : 7 (d) 45 : 35
5. 5.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
6. 6.Write the ratio 32 : 28 in its simplest form. (a) 7 : 8 (b) 8 : 7 (c) 9 : 8 (d) 32 : 28
7. 7.₹80 is shared between Ishaan and Lakshmi in the ratio 1 : 3. How many rupees does Lakshmi get?
8. 8.A garden has 32 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 8 (b) 32 : 4 (c) 8 : 1 (d) 9 : 2
9. 9.Write the ratio 35 : 56 in its simplest form. (a) 6 : 9 (b) 35 : 56 (c) 5 : 8 (d) 8 : 5
10. 10.₹1360 is shared between Zoya and Farhan in the ratio 8 : 9. How many rupees does Farhan get?
11. 11.Are 30, 36, 25 and 30 in proportion? (a) Yes (b) No
12. 12.2 : 7 = 16 : ?
13. 13.Write the ratio 18 : 63 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 18 : 63 (d) 2 : 7
14. 14.5 : 9 = 50 : ?
15. 15.Are 10, 12, 20 and 26 in proportion? (a) Yes (b) No
16. 16.1 : 9 = 3 : ?
17. 17.Are 14, 18, 21 and 28 in proportion? (a) Yes (b) No
18. 18.₹2400 is shared between Gurpreet and Rahul in the ratio 7 : 8. How many rupees does Gurpreet get?
19. 19.2 : 3 = ? : 27
20. 20.3 : 8 = ? : 72
21. 21.2 : 9 = 14 : ?
22. 22.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 7 hours?
23. 23.A basket has 20 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 20 : 36 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
24. 24.₹420 is shared between Rohan and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
25. 25.A basket has 32 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 32 : 4 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
26. 26.Are 4, 8, 2 and 4 in proportion? (a) Yes (b) No
27. 27.1 : 5 = ? : 45
28. 28.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Are 12, 16, 21 and 29 in proportion? (a) Yes (b) No
30. 30.Write the ratio 6 : 10 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 6 : 10 (d) 5 : 3
31. 31.Are 6, 27, 14 and 63 in proportion? (a) No (b) Yes
32. 32.A team has 32 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 32 : 56 (d) 5 : 8
33. 33.If 8 mangoes cost ₹128, how many rupees do 7 mangoes cost?
34. 34.1 : 7 = ? : 49
35. 35.Are 6, 30, 7 and 36 in proportion? (a) Yes (b) No
36. 36.A team has 10 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 7 (b) 6 : 8 (c) 7 : 5 (d) 10 : 14
37. 37.If 2 pens cost ₹20, how many rupees do 6 pens cost?
38. 38.Write the ratio 14 : 35 in its simplest form. (a) 14 : 35 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
39. 39.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 5 hours?
40. 40.Are 6, 12, 3 and 6 in proportion? (a) Yes (b) No

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