Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 281 · 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. 1.6 : 7 = 36 : ?
2. 2.If 5 mangoes cost ₹70, how many rupees do 8 mangoes cost?
3. 3.₹950 is shared between Dev and Vivaan in the ratio 2 : 3. How many rupees does Dev get?
4. 4.Are 15, 35, 9 and 23 in proportion? (a) Yes (b) No
5. 5.A library shelf has 36 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 36 : 42 (b) 6 : 7 (c) 7 : 6 (d) 7 : 8
6. 6.A basket has 35 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 35 : 42 (c) 5 : 6 (d) 6 : 5
7. 7.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
8. 8.Write the ratio 6 : 30 in its simplest form. (a) 5 : 1 (b) 2 : 6 (c) 6 : 30 (d) 1 : 5
9. 9.If 5 chocolates cost ₹180, how many rupees do 12 chocolates cost?
10. 10.A team has 12 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 8 (b) 12 : 28 (c) 7 : 3 (d) 3 : 7
11. 11.5 : 6 = ? : 18
12. 12.Are 4, 36, 8 and 72 in proportion? (a) No (b) Yes
13. 13.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 4 hours?
14. 14.1 : 3 = ? : 21
15. 15.4 : 5 = ? : 10
16. 16.Are 2, 10, 3 and 17 in proportion? (a) Yes (b) No
17. 17.₹1820 is shared between Karan and Sneha in the ratio 5 : 9. How many rupees does Karan get?
18. 18.A library shelf has 6 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 6 : 12 (c) 2 : 1 (d) 2 : 3
19. 19.If 3 notebooks cost ₹180, how many rupees do 12 notebooks cost?
20. 20.5 : 7 = 40 : ?
21. 21.Write the ratio 81 : 18 in its simplest form. (a) 81 : 18 (b) 9 : 2 (c) 10 : 3 (d) 2 : 9
22. 22.Are 12, 32, 24 and 66 in proportion? (a) Yes (b) No
23. 23.A team has 63 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 9 (b) 9 : 2 (c) 63 : 14 (d) 10 : 3
24. 24.Are 5, 10, 7 and 14 in proportion? (a) No (b) Yes
25. 25.If 8 notebooks cost ₹104, how many rupees do 11 notebooks cost?
26. 26.2 : 9 = ? : 72
27. 27.Write the ratio 12 : 42 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 12 : 42 (d) 2 : 7
28. 28.1 : 7 = 3 : ?
29. 29.₹440 is shared between Riya and Gurpreet in the ratio 5 : 6. How many rupees does Gurpreet get?
30. 30.Write the ratio 27 : 18 in its simplest form. (a) 27 : 18 (b) 4 : 3 (c) 2 : 3 (d) 3 : 2
31. 31.₹2720 is shared between Gurpreet and Vivaan in the ratio 7 : 9. How many rupees does Gurpreet get?
32. 32.₹1800 is shared between Dev and Kavya in the ratio 2 : 7. How many rupees does Dev get?
33. 33.1 : 3 = 9 : ?
34. 34.₹1210 is shared between Riya and Sneha in the ratio 3 : 8. How many rupees does Sneha get?
35. 35.Are 8, 12, 6 and 10 in proportion? (a) Yes (b) No
36. 36.Write the ratio 64 : 56 in its simplest form. (a) 8 : 7 (b) 64 : 56 (c) 9 : 8 (d) 7 : 8
37. 37.Are 3, 12, 5 and 22 in proportion? (a) Yes (b) No
38. 38.Write the ratio 28 : 7 in its simplest form. (a) 28 : 7 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1
39. 39.₹1870 is shared between Nisha and Vivaan in the ratio 3 : 8. How many rupees does Nisha get?
40. 40.5 : 6 = 30 : ?

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