Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 269 · 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.Are 12, 32, 24 and 64 in proportion? (a) No (b) Yes
2. 2.Write the ratio 21 : 3 in its simplest form. (a) 1 : 7 (b) 21 : 3 (c) 7 : 1 (d) 8 : 2
3. 3.Write the ratio 10 : 14 in its simplest form. (a) 5 : 7 (b) 6 : 8 (c) 7 : 5 (d) 10 : 14
4. 4.Write the ratio 12 : 14 in its simplest form. (a) 12 : 14 (b) 7 : 8 (c) 7 : 6 (d) 6 : 7
5. 5.A box has 21 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 7 (b) 21 : 9 (c) 7 : 3 (d) 8 : 4
6. 6.A library shelf has 20 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 20 : 45 (b) 5 : 10 (c) 4 : 9 (d) 9 : 4
7. 7.₹500 is shared between Manav and Saanvi in the ratio 3 : 7. How many rupees does Saanvi get?
8. 8.If 3 notebooks cost ₹81, how many rupees do 2 notebooks cost?
9. 9.5 : 6 = ? : 12
10. 10.Write the ratio 7 : 42 in its simplest form. (a) 7 : 42 (b) 1 : 6 (c) 6 : 1 (d) 2 : 7
11. 11.Are 12, 30, 4 and 11 in proportion? (a) No (b) Yes
12. 12.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
13. 13.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 6 hours?
14. 14.A box has 18 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 18 : 63 (c) 2 : 7 (d) 7 : 2
15. 15.Are 6, 9, 4 and 9 in proportion? (a) No (b) Yes
16. 16.Write the ratio 8 : 24 in its simplest form. (a) 3 : 1 (b) 8 : 24 (c) 2 : 4 (d) 1 : 3
17. 17.Are 10, 12, 35 and 45 in proportion? (a) Yes (b) No
18. 18.4 : 7 = 40 : ?
19. 19.A box has 6 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 10 (b) 6 : 54 (c) 1 : 9 (d) 9 : 1
20. 20.4 : 7 = ? : 49
21. 21.₹1440 is shared between Aditya and Farhan in the ratio 1 : 7. How many rupees does Farhan get?
22. 22.Are 18, 24, 12 and 16 in proportion? (a) No (b) Yes
23. 23.5 : 9 = ? : 27
24. 24.A class has 7 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 2 : 10 (c) 9 : 1 (d) 7 : 63
25. 25.Write the ratio 10 : 25 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 10 : 25 (d) 5 : 2
26. 26.Are 21, 24, 56 and 64 in proportion? (a) No (b) Yes
27. 27.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
28. 28.Are 5, 10, 7 and 17 in proportion? (a) Yes (b) No
29. 29.A team has 6 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 3 : 4 (c) 6 : 9 (d) 2 : 3
30. 30.5 : 7 = ? : 35
31. 31.₹80 is shared between Rahul and Sneha in the ratio 1 : 3. How many rupees does Sneha get?
32. 32.A box has 36 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 4 (b) 5 : 2 (c) 36 : 9 (d) 4 : 1
33. 33.4 : 5 = 32 : ?
34. 34.A box has 2 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 3 (b) 2 : 6 (c) 2 : 4 (d) 3 : 1
35. 35.Are 6, 8, 21 and 28 in proportion? (a) No (b) Yes
36. 36.Are 4, 12, 7 and 21 in proportion? (a) No (b) Yes
37. 37.₹150 is shared between Ishaan and Rohan in the ratio 1 : 4. How many rupees does Ishaan get?
38. 38.If 7 bus tickets cost ₹119, how many rupees do 6 bus tickets cost?
39. 39.4 : 5 = ? : 50
40. 40.If 8 ice creams cost ₹432, how many rupees do 3 ice creams cost?

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