Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 365 · 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.Write the ratio 15 : 27 in its simplest form. (a) 6 : 10 (b) 15 : 27 (c) 9 : 5 (d) 5 : 9
2. 2.2 : 7 = ? : 63
3. 3.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
4. 4.Are 8, 12, 12 and 18 in proportion? (a) No (b) Yes
5. 5.Write the ratio 25 : 45 in its simplest form. (a) 5 : 9 (b) 25 : 45 (c) 9 : 5 (d) 6 : 10
6. 6.A basket has 56 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 8 : 9 (c) 9 : 10 (d) 56 : 63
7. 7.Are 3, 18, 2 and 13 in proportion? (a) No (b) Yes
8. 8.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
9. 9.₹1330 is shared between Zoya and Ananya in the ratio 3 : 4. How many rupees does Zoya get?
10. 10.If 5 ice creams cost ₹70, how many rupees do 2 ice creams cost?
11. 11.Are 5, 10, 8 and 16 in proportion? (a) Yes (b) No
12. 12.Are 6, 10, 9 and 18 in proportion? (a) No (b) Yes
13. 13.If 2 chocolates cost ₹74, how many rupees do 10 chocolates cost?
14. 14.If 7 bus tickets cost ₹126, how many rupees do 11 bus tickets cost?
15. 15.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
16. 16.A library shelf has 8 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 8 (b) 8 : 56 (c) 7 : 1 (d) 1 : 7
17. 17.Write the ratio 25 : 15 in its simplest form. (a) 5 : 3 (b) 25 : 15 (c) 6 : 4 (d) 3 : 5
18. 18.Are 2, 16, 5 and 41 in proportion? (a) Yes (b) No
19. 19.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 4 hours?
20. 20.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
21. 21.5 : 7 = ? : 42
22. 22.1 : 8 = 7 : ?
23. 23.A team has 16 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 10 (b) 9 : 4 (c) 4 : 9 (d) 16 : 36
24. 24.1 : 4 = 4 : ?
25. 25.If 9 mangoes cost ₹405, how many rupees do 5 mangoes cost?
26. 26.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 4 hours?
27. 27.Write the ratio 35 : 21 in its simplest form. (a) 35 : 21 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
28. 28.If 5 ice creams cost ₹45, how many rupees do 2 ice creams cost?
29. 29.₹1210 is shared between Gurpreet and Dev in the ratio 2 : 9. How many rupees does Gurpreet get?
30. 30.Write the ratio 14 : 49 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 2 : 7 (d) 14 : 49
31. 31.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 4 hours?
32. 32.A library shelf has 28 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 28 : 32 (c) 7 : 8 (d) 8 : 9
33. 33.Write the ratio 4 : 14 in its simplest form. (a) 7 : 2 (b) 4 : 14 (c) 2 : 7 (d) 3 : 8
34. 34.₹220 is shared between Saanvi and Tara in the ratio 4 : 7. How many rupees does Saanvi get?
35. 35.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
36. 36.Write the ratio 5 : 20 in its simplest form. (a) 1 : 4 (b) 5 : 20 (c) 4 : 1 (d) 2 : 5
37. 37.1 : 9 = 4 : ?
38. 38.Write the ratio 15 : 12 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 15 : 12 (d) 5 : 4
39. 39.3 : 5 = 9 : ?
40. 40.Write the ratio 3 : 27 in its simplest form. (a) 1 : 9 (b) 3 : 27 (c) 2 : 10 (d) 9 : 1

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