Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 173 · 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 train goes 420 km in 6 hours. At the same speed, how many km does it go in 2 hours?
2. 2.A library shelf has 18 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 42 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
3. 3.Are 6, 24, 9 and 38 in proportion? (a) Yes (b) No
4. 4.Are 21, 24, 63 and 75 in proportion? (a) Yes (b) No
5. 5.6 : 7 = 30 : ?
6. 6.Write the ratio 20 : 35 in its simplest form. (a) 4 : 7 (b) 20 : 35 (c) 7 : 4 (d) 5 : 8
7. 7.2 : 9 = 12 : ?
8. 8.A team has 30 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 7 : 2 (c) 30 : 5 (d) 1 : 6
9. 9.Are 10, 12, 25 and 32 in proportion? (a) No (b) Yes
10. 10.Are 6, 10, 9 and 15 in proportion? (a) Yes (b) No
11. 11.Write the ratio 14 : 49 in its simplest form. (a) 14 : 49 (b) 3 : 8 (c) 2 : 7 (d) 7 : 2
12. 12.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 7 hours?
13. 13.₹480 is shared between Vivaan and Nisha in the ratio 1 : 7. How many rupees does Nisha get?
14. 14.If 8 pens cost ₹432, how many rupees do 6 pens cost?
15. 15.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 7 hours?
16. 16.1 : 2 = 8 : ?
17. 17.Write the ratio 45 : 54 in its simplest form. (a) 45 : 54 (b) 5 : 6 (c) 6 : 5 (d) 6 : 7
18. 18.₹350 is shared between Rahul and Arjun in the ratio 2 : 3. How many rupees does Rahul get?
19. 19.7 : 9 = ? : 90
20. 20.A basket has 28 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 28 : 12 (b) 3 : 7 (c) 8 : 4 (d) 7 : 3
21. 21.Write the ratio 45 : 27 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 45 : 27
22. 22.3 : 7 = 27 : ?
23. 23.Are 4, 10, 6 and 16 in proportion? (a) Yes (b) No
24. 24.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
25. 25.A class has 18 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 6 (b) 18 : 45 (c) 5 : 2 (d) 2 : 5
26. 26.A basket has 42 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 42 : 54 (d) 9 : 7
27. 27.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 4 hours?
28. 28.A basket has 2 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 2 : 7 (d) 2 : 12
29. 29.₹80 is shared between Priya and Zoya in the ratio 1 : 7. How many rupees does Priya get?
30. 30.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 7 hours?
31. 31.1 : 8 = ? : 40
32. 32.If 4 ice creams cost ₹148, how many rupees do 12 ice creams cost?
33. 33.If 8 pens cost ₹280, how many rupees do 3 pens cost?
34. 34.If 5 ice creams cost ₹275, how many rupees do 7 ice creams cost?
35. 35.Are 10, 12, 40 and 49 in proportion? (a) No (b) Yes
36. 36.Are 48, 54, 72 and 83 in proportion? (a) No (b) Yes
37. 37.₹630 is shared between Ananya and Lakshmi in the ratio 1 : 8. How many rupees does Lakshmi get?
38. 38.Are 6, 48, 9 and 73 in proportion? (a) No (b) Yes
39. 39.Write the ratio 21 : 12 in its simplest form. (a) 21 : 12 (b) 8 : 5 (c) 4 : 7 (d) 7 : 4
40. 40.2 : 3 = ? : 12

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