Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 293 · 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, 45 and 82 in proportion? (a) No (b) Yes
2. 2.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 7 hours?
3. 3.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
4. 4.If 4 notebooks cost ₹144, how many rupees do 10 notebooks cost?
5. 5.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
6. 6.6 : 7 = ? : 70
7. 7.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
8. 8.A garden has 63 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 63 : 72 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
9. 9.₹1980 is shared between Priya and Manav in the ratio 4 : 7. How many rupees does Manav get?
10. 10.4 : 5 = ? : 25
11. 11.Are 5, 35, 4 and 28 in proportion? (a) No (b) Yes
12. 12.A team has 45 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 7 (c) 6 : 5 (d) 45 : 54
13. 13.Are 10, 25, 6 and 16 in proportion? (a) Yes (b) No
14. 14.₹720 is shared between Dev and Sneha in the ratio 1 : 5. How many rupees does Dev get?
15. 15.A basket has 10 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 5 (b) 10 : 14 (c) 6 : 8 (d) 5 : 7
16. 16.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
17. 17.If 5 ice creams cost ₹15, how many rupees do 9 ice creams cost?
18. 18.Are 15, 21, 25 and 38 in proportion? (a) No (b) Yes
19. 19.Write the ratio 2 : 8 in its simplest form. (a) 2 : 5 (b) 2 : 8 (c) 4 : 1 (d) 1 : 4
20. 20.If 7 bus tickets cost ₹357, how many rupees do 9 bus tickets cost?
21. 21.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 1 hour?
22. 22.Are 10, 16, 40 and 64 in proportion? (a) Yes (b) No
23. 23.8 : 9 = ? : 90
24. 24.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 4 hours?
25. 25.A library shelf has 15 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 3 (b) 15 : 10 (c) 3 : 2 (d) 4 : 3
26. 26.Write the ratio 14 : 4 in its simplest form. (a) 7 : 2 (b) 8 : 3 (c) 2 : 7 (d) 14 : 4
27. 27.1 : 5 = ? : 25
28. 28.Are 6, 24, 4 and 16 in proportion? (a) No (b) Yes
29. 29.If 8 chocolates cost ₹48, how many rupees do 3 chocolates cost?
30. 30.A basket has 30 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 30 : 54 (c) 6 : 10 (d) 9 : 5
31. 31.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
32. 32.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 5 hours?
33. 33.3 : 7 = ? : 42
34. 34.Are 3, 9, 4 and 14 in proportion? (a) No (b) Yes
35. 35.2 : 9 = 20 : ?
36. 36.₹640 is shared between Vivaan and Sneha in the ratio 7 : 9. How many rupees does Sneha get?
37. 37.Are 28, 32, 56 and 64 in proportion? (a) No (b) Yes
38. 38.Write the ratio 14 : 12 in its simplest form. (a) 6 : 7 (b) 14 : 12 (c) 8 : 7 (d) 7 : 6
39. 39.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 7 hours?
40. 40.If 2 ice creams cost ₹54, how many rupees do 12 ice creams cost?

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