Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 168 · 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 box has 18 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 3 (b) 4 : 2 (c) 3 : 1 (d) 18 : 6
2. 2.Write the ratio 14 : 16 in its simplest form. (a) 7 : 8 (b) 14 : 16 (c) 8 : 9 (d) 8 : 7
3. 3.Are 4, 16, 3 and 12 in proportion? (a) Yes (b) No
4. 4.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
5. 5.Are 15, 24, 45 and 75 in proportion? (a) No (b) Yes
6. 6.1 : 7 = 8 : ?
7. 7.A box has 15 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 21 (b) 7 : 5 (c) 6 : 8 (d) 5 : 7
8. 8.A team has 18 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 18 : 8 (d) 10 : 5
9. 9.Write the ratio 12 : 14 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 12 : 14 (d) 7 : 6
10. 10.A box has 32 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 5 : 4 (c) 3 : 4 (d) 32 : 24
11. 11.2 : 7 = 20 : ?
12. 12.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 8 hours?
13. 13.If 3 notebooks cost ₹75, how many rupees do 5 notebooks cost?
14. 14.If 9 bus tickets cost ₹360, how many rupees do 2 bus tickets cost?
15. 15.A garden has 24 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 4 (b) 24 : 18 (c) 3 : 4 (d) 4 : 3
16. 16.A box has 18 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 18 : 81 (c) 3 : 10 (d) 9 : 2
17. 17.Write the ratio 45 : 5 in its simplest form. (a) 45 : 5 (b) 9 : 1 (c) 10 : 2 (d) 1 : 9
18. 18.₹700 is shared between Aditya and Arjun in the ratio 1 : 9. How many rupees does Arjun get?
19. 19.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 4 hours?
20. 20.Are 3, 15, 7 and 35 in proportion? (a) Yes (b) No
21. 21.Write the ratio 25 : 15 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 25 : 15
22. 22.1 : 9 = 2 : ?
23. 23.4 : 7 = ? : 28
24. 24.₹2210 is shared between Kabir and Dev in the ratio 5 : 8. How many rupees does Kabir get?
25. 25.A box has 14 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 2 (b) 14 : 63 (c) 2 : 9 (d) 3 : 10
26. 26.If 4 ice creams cost ₹228, how many rupees do 9 ice creams cost?
27. 27.Are 9, 21, 12 and 30 in proportion? (a) Yes (b) No
28. 28.Are 12, 28, 21 and 52 in proportion? (a) Yes (b) No
29. 29.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 3 : 10 (d) 14 : 63
30. 30.₹1400 is shared between Arjun and Nisha in the ratio 1 : 6. How many rupees does Arjun get?
31. 31.Are 25, 35, 20 and 30 in proportion? (a) No (b) Yes
32. 32.4 : 7 = ? : 56
33. 33.Write the ratio 24 : 3 in its simplest form. (a) 24 : 3 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
34. 34.Are 12, 14, 18 and 22 in proportion? (a) No (b) Yes
35. 35.Write the ratio 9 : 54 in its simplest form. (a) 2 : 7 (b) 9 : 54 (c) 6 : 1 (d) 1 : 6
36. 36.If 3 pens cost ₹27, how many rupees do 2 pens cost?
37. 37.Are 20, 25, 12 and 15 in proportion? (a) Yes (b) No
38. 38.Are 8, 14, 28 and 49 in proportion? (a) Yes (b) No
39. 39.Are 18, 21, 42 and 49 in proportion? (a) No (b) Yes
40. 40.A class has 2 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 8 : 1 (c) 2 : 16 (d) 1 : 8

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