Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 83 · 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 3, 18, 7 and 42 in proportion? (a) No (b) Yes
2. 2.Write the ratio 63 : 54 in its simplest form. (a) 6 : 7 (b) 8 : 7 (c) 63 : 54 (d) 7 : 6
3. 3.Are 5, 15, 8 and 27 in proportion? (a) Yes (b) No
4. 4.₹2600 is shared between Joseph and Aarav in the ratio 4 : 9. How many rupees does Aarav get?
5. 5.Write the ratio 56 : 72 in its simplest form. (a) 7 : 9 (b) 56 : 72 (c) 9 : 7 (d) 8 : 10
6. 6.If 5 pens cost ₹300, how many rupees do 8 pens cost?
7. 7.A library shelf has 16 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 16 : 36 (d) 5 : 10
8. 8.Write the ratio 14 : 18 in its simplest form. (a) 9 : 7 (b) 14 : 18 (c) 8 : 10 (d) 7 : 9
9. 9.Are 20, 28, 15 and 23 in proportion? (a) Yes (b) No
10. 10.Are 15, 35, 18 and 42 in proportion? (a) Yes (b) No
11. 11.Write the ratio 40 : 8 in its simplest form. (a) 40 : 8 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
12. 12.A box has 6 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 3 : 8 (d) 6 : 21
13. 13.If 5 pens cost ₹95, how many rupees do 9 pens cost?
14. 14.If 7 bus tickets cost ₹70, how many rupees do 11 bus tickets cost?
15. 15.If 9 pens cost ₹351, how many rupees do 12 pens cost?
16. 16.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 2 hours?
17. 17.Are 18, 30, 12 and 20 in proportion? (a) Yes (b) No
18. 18.3 : 7 = 30 : ?
19. 19.A class has 6 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 6 : 4 (c) 2 : 3 (d) 4 : 3
20. 20.Write the ratio 3 : 24 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 3 : 24
21. 21.Are 12, 15, 28 and 35 in proportion? (a) No (b) Yes
22. 22.Write the ratio 8 : 48 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 2 : 7 (d) 8 : 48
23. 23.If 9 notebooks cost ₹486, how many rupees do 11 notebooks cost?
24. 24.Are 18, 24, 12 and 16 in proportion? (a) Yes (b) No
25. 25.2 : 5 = ? : 10
26. 26.Write the ratio 10 : 18 in its simplest form. (a) 5 : 9 (b) 6 : 10 (c) 10 : 18 (d) 9 : 5
27. 27.A library shelf has 36 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 6 (b) 4 : 5 (c) 5 : 4 (d) 36 : 45
28. 28.A basket has 30 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 30 : 48 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
29. 29.Write the ratio 6 : 16 in its simplest form. (a) 3 : 8 (b) 4 : 9 (c) 6 : 16 (d) 8 : 3
30. 30.2 : 5 = 20 : ?
31. 31.6 : 7 = 54 : ?
32. 32.A box has 18 red pens and 2 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 9 (b) 10 : 2 (c) 18 : 2 (d) 9 : 1
33. 33.A class has 4 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 6 (b) 2 : 7 (c) 4 : 24 (d) 6 : 1
34. 34.Are 2, 10, 9 and 46 in proportion? (a) No (b) Yes
35. 35.₹2160 is shared between Manav and Tara in the ratio 5 : 7. How many rupees does Tara get?
36. 36.A box has 21 red pens and 35 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 6 (b) 21 : 35 (c) 3 : 5 (d) 5 : 3
37. 37.3 : 8 = ? : 48
38. 38.Write the ratio 20 : 16 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 20 : 16 (d) 6 : 5
39. 39.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
40. 40.5 : 8 = ? : 56

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