Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 34 · 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.₹960 is shared between Ananya and Gurpreet in the ratio 1 : 5. How many rupees does Ananya get?
2. 2.1 : 7 = ? : 28
3. 3.A box has 7 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 1 (b) 7 : 42 (c) 1 : 6 (d) 2 : 7
4. 4.If 5 pens cost ₹145, how many rupees do 3 pens cost?
5. 5.₹1300 is shared between Arjun and Lakshmi in the ratio 1 : 9. How many rupees does Arjun get?
6. 6.5 : 8 = ? : 24
7. 7.Write the ratio 12 : 9 in its simplest form. (a) 12 : 9 (b) 3 : 4 (c) 5 : 4 (d) 4 : 3
8. 8.A team has 2 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 1 (b) 2 : 18 (c) 1 : 9 (d) 2 : 10
9. 9.Write the ratio 15 : 12 in its simplest form. (a) 6 : 5 (b) 4 : 5 (c) 15 : 12 (d) 5 : 4
10. 10.7 : 8 = 42 : ?
11. 11.7 : 8 = ? : 16
12. 12.Write the ratio 18 : 27 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 18 : 27 (d) 2 : 3
13. 13.A library shelf has 45 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 45 : 9
14. 14.1 : 3 = ? : 27
15. 15.If 8 notebooks cost ₹232, how many rupees do 2 notebooks cost?
16. 16.A team has 63 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 4 (b) 63 : 27 (c) 3 : 7 (d) 7 : 3
17. 17.Write the ratio 56 : 49 in its simplest form. (a) 9 : 8 (b) 7 : 8 (c) 8 : 7 (d) 56 : 49
18. 18.Write the ratio 56 : 35 in its simplest form. (a) 9 : 6 (b) 56 : 35 (c) 5 : 8 (d) 8 : 5
19. 19.₹1700 is shared between Farhan and Pooja in the ratio 1 : 9. How many rupees does Farhan get?
20. 20.A garden has 15 rose plants and 5 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 2 (b) 1 : 3 (c) 15 : 5 (d) 3 : 1
21. 21.Write the ratio 12 : 8 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 12 : 8 (d) 2 : 3
22. 22.A library shelf has 14 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 14 : 12 (c) 8 : 7 (d) 6 : 7
23. 23.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
24. 24.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 7 hours?
25. 25.3 : 7 = ? : 14
26. 26.If 6 mangoes cost ₹102, how many rupees do 12 mangoes cost?
27. 27.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
28. 28.A class has 10 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 5 (b) 5 : 7 (c) 10 : 14 (d) 6 : 8
29. 29.If 5 notebooks cost ₹100, how many rupees do 6 notebooks cost?
30. 30.8 : 9 = ? : 54
31. 31.5 : 6 = 40 : ?
32. 32.If 3 notebooks cost ₹99, how many rupees do 11 notebooks cost?
33. 33.₹550 is shared between Lakshmi and Nisha in the ratio 2 : 3. How many rupees does Nisha get?
34. 34.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
35. 35.2 : 5 = 16 : ?
36. 36.Are 25, 30, 45 and 54 in proportion? (a) Yes (b) No
37. 37.Are 20, 32, 15 and 26 in proportion? (a) Yes (b) No
38. 38.A basket has 16 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 4 (b) 4 : 3 (c) 3 : 4 (d) 16 : 12
39. 39.If 2 chocolates cost ₹90, how many rupees do 3 chocolates cost?
40. 40.3 : 8 = ? : 40

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