Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 223 · 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. 1.3 : 8 = ? : 72
2. 2.If 2 pens cost ₹34, how many rupees do 8 pens cost?
3. 3.Write the ratio 35 : 5 in its simplest form. (a) 35 : 5 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1
4. 4.Write the ratio 48 : 54 in its simplest form. (a) 8 : 9 (b) 9 : 10 (c) 9 : 8 (d) 48 : 54
5. 5.2 : 5 = ? : 10
6. 6.1 : 2 = 3 : ?
7. 7.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
8. 8.₹2000 is shared between Arjun and Saanvi in the ratio 3 : 7. How many rupees does Arjun get?
9. 9.7 : 8 = ? : 16
10. 10.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 1 hour?
11. 11.Write the ratio 18 : 9 in its simplest form. (a) 1 : 2 (b) 18 : 9 (c) 3 : 2 (d) 2 : 1
12. 12.Write the ratio 16 : 12 in its simplest form. (a) 5 : 4 (b) 4 : 3 (c) 3 : 4 (d) 16 : 12
13. 13.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
14. 14.If 7 notebooks cost ₹126, how many rupees do 8 notebooks cost?
15. 15.A library shelf has 24 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 2 (b) 24 : 6 (c) 4 : 1 (d) 1 : 4
16. 16.5 : 9 = ? : 72
17. 17.₹2200 is shared between Arjun and Priya in the ratio 3 : 8. How many rupees does Arjun get?
18. 18.Are 15, 24, 40 and 64 in proportion? (a) No (b) Yes
19. 19.Write the ratio 8 : 6 in its simplest form. (a) 8 : 6 (b) 5 : 4 (c) 4 : 3 (d) 3 : 4
20. 20.Write the ratio 9 : 45 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 9 : 45 (d) 5 : 1
21. 21.5 : 7 = 25 : ?
22. 22.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
23. 23.Write the ratio 12 : 15 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 5 : 6 (d) 12 : 15
24. 24.Are 18, 30, 27 and 45 in proportion? (a) Yes (b) No
25. 25.If 3 notebooks cost ₹39, how many rupees do 12 notebooks cost?
26. 26.A library shelf has 20 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 20 : 5
27. 27.1 : 9 = 5 : ?
28. 28.1 : 3 = ? : 27
29. 29.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 4 hours?
30. 30.A library shelf has 3 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 3 : 15 (d) 2 : 6
31. 31.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
32. 32.Are 5, 15, 9 and 30 in proportion? (a) No (b) Yes
33. 33.If 9 chocolates cost ₹306, how many rupees do 11 chocolates cost?
34. 34.3 : 7 = 9 : ?
35. 35.Write the ratio 42 : 54 in its simplest form. (a) 7 : 9 (b) 42 : 54 (c) 8 : 10 (d) 9 : 7
36. 36.Write the ratio 21 : 6 in its simplest form. (a) 2 : 7 (b) 21 : 6 (c) 8 : 3 (d) 7 : 2
37. 37.Write the ratio 42 : 24 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 42 : 24 (d) 8 : 5
38. 38.A class has 40 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 40 : 8 (b) 5 : 1 (c) 6 : 2 (d) 1 : 5
39. 39.A box has 64 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 64 : 24 (c) 9 : 4 (d) 8 : 3
40. 40.1 : 7 = 10 : ?

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