Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 146 · 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.₹550 is shared between Karan and Dev in the ratio 5 : 6. How many rupees does Karan get?
2. 2.Write the ratio 45 : 25 in its simplest form. (a) 45 : 25 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
3. 3.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 7 hours?
4. 4.If 7 bus tickets cost ₹329, how many rupees do 12 bus tickets cost?
5. 5.7 : 8 = 42 : ?
6. 6.Write the ratio 56 : 64 in its simplest form. (a) 8 : 9 (b) 7 : 8 (c) 56 : 64 (d) 8 : 7
7. 7.4 : 5 = ? : 30
8. 8.3 : 5 = 24 : ?
9. 9.1 : 2 = ? : 14
10. 10.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 7 hours?
11. 11.₹440 is shared between Karan and Kabir in the ratio 1 : 3. How many rupees does Karan get?
12. 12.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
13. 13.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
14. 14.Write the ratio 15 : 12 in its simplest form. (a) 6 : 5 (b) 15 : 12 (c) 5 : 4 (d) 4 : 5
15. 15.₹780 is shared between Aarav and Kabir in the ratio 1 : 5. How many rupees does Aarav get?
16. 16.If 9 pens cost ₹423, how many rupees do 8 pens cost?
17. 17.A team has 6 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 5 (b) 2 : 6 (c) 6 : 30 (d) 5 : 1
18. 18.8 : 9 = 40 : ?
19. 19.Are 25, 45, 10 and 18 in proportion? (a) No (b) Yes
20. 20.3 : 5 = 12 : ?
21. 21.2 : 5 = 20 : ?
22. 22.₹2470 is shared between Diya and Arjun in the ratio 5 : 8. How many rupees does Diya get?
23. 23.7 : 8 = 56 : ?
24. 24.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 7 hours?
25. 25.3 : 8 = ? : 32
26. 26.Write the ratio 42 : 6 in its simplest form. (a) 1 : 7 (b) 42 : 6 (c) 7 : 1 (d) 8 : 2
27. 27.Are 6, 9, 8 and 14 in proportion? (a) No (b) Yes
28. 28.A basket has 28 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 6 (b) 5 : 7 (c) 28 : 20 (d) 7 : 5
29. 29.1 : 6 = 10 : ?
30. 30.8 : 9 = ? : 63
31. 31.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
32. 32.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
33. 33.A garden has 10 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 5 : 3 (d) 10 : 6
34. 34.₹1260 is shared between Ishaan and Dev in the ratio 2 : 7. How many rupees does Ishaan get?
35. 35.4 : 7 = ? : 70
36. 36.A team has 8 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 16 (b) 1 : 2 (c) 2 : 3 (d) 2 : 1
37. 37.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
38. 38.A team has 24 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 24 : 3
39. 39.A basket has 24 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 8 (b) 3 : 7 (c) 24 : 56 (d) 7 : 3
40. 40.Are 10, 14, 25 and 35 in proportion? (a) No (b) Yes

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