Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 6 · 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 12 : 3 in its simplest form. (a) 12 : 3 (b) 4 : 1 (c) 5 : 2 (d) 1 : 4
2. 2.Write the ratio 72 : 16 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 72 : 16
3. 3.Write the ratio 45 : 81 in its simplest form. (a) 6 : 10 (b) 5 : 9 (c) 45 : 81 (d) 9 : 5
4. 4.₹400 is shared between Manav and Vivaan in the ratio 3 : 5. How many rupees does Vivaan get?
5. 5.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
6. 6.8 : 9 = ? : 27
7. 7.Are 5, 15, 8 and 24 in proportion? (a) No (b) Yes
8. 8.Write the ratio 25 : 10 in its simplest form. (a) 6 : 3 (b) 25 : 10 (c) 5 : 2 (d) 2 : 5
9. 9.1 : 3 = 7 : ?
10. 10.₹300 is shared between Ishaan and Tara in the ratio 7 : 8. How many rupees does Ishaan get?
11. 11.Write the ratio 21 : 18 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 21 : 18 (d) 7 : 6
12. 12.Are 12, 32, 18 and 48 in proportion? (a) No (b) Yes
13. 13.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 8 hours?
14. 14.5 : 6 = 15 : ?
15. 15.8 : 9 = 48 : ?
16. 16.Are 20, 28, 45 and 63 in proportion? (a) Yes (b) No
17. 17.1 : 9 = ? : 90
18. 18.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
19. 19.Are 4, 20, 7 and 35 in proportion? (a) Yes (b) No
20. 20.Write the ratio 8 : 12 in its simplest form. (a) 8 : 12 (b) 2 : 3 (c) 3 : 4 (d) 3 : 2
21. 21.5 : 7 = 20 : ?
22. 22.3 : 7 = ? : 14
23. 23.Write the ratio 4 : 18 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 4 : 18 (d) 3 : 10
24. 24.A library shelf has 8 storybooks and 14 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 4 (b) 8 : 14 (c) 4 : 7 (d) 5 : 8
25. 25.Write the ratio 45 : 9 in its simplest form. (a) 1 : 5 (b) 6 : 2 (c) 5 : 1 (d) 45 : 9
26. 26.1 : 8 = ? : 56
27. 27.₹960 is shared between Arjun and Rohan in the ratio 3 : 5. How many rupees does Rohan get?
28. 28.₹450 is shared between Riya and Kabir in the ratio 4 : 5. How many rupees does Riya get?
29. 29.Write the ratio 8 : 6 in its simplest form. (a) 4 : 3 (b) 8 : 6 (c) 3 : 4 (d) 5 : 4
30. 30.A library shelf has 42 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 7 (b) 42 : 54 (c) 8 : 10 (d) 7 : 9
31. 31.4 : 9 = ? : 18
32. 32.Are 15, 21, 10 and 14 in proportion? (a) No (b) Yes
33. 33.A class has 8 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 8 : 24 (c) 2 : 4 (d) 1 : 3
34. 34.If 4 notebooks cost ₹60, how many rupees do 3 notebooks cost?
35. 35.1 : 7 = ? : 14
36. 36.If 9 notebooks cost ₹252, how many rupees do 5 notebooks cost?
37. 37.If 4 pens cost ₹108, how many rupees do 9 pens cost?
38. 38.₹520 is shared between Aditya and Arjun in the ratio 6 : 7. How many rupees does Aditya get?
39. 39.If 7 notebooks cost ₹420, how many rupees do 8 notebooks cost?
40. 40.Write the ratio 48 : 40 in its simplest form. (a) 5 : 6 (b) 48 : 40 (c) 7 : 6 (d) 6 : 5

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