Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 195 · 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. 1.5 : 6 = ? : 12
2. 2.Write the ratio 45 : 18 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 45 : 18 (d) 6 : 3
3. 3.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
4. 4.Are 6, 21, 14 and 50 in proportion? (a) Yes (b) No
5. 5.₹770 is shared between Pooja and Karan in the ratio 2 : 9. How many rupees does Pooja get?
6. 6.If 7 notebooks cost ₹392, how many rupees do 6 notebooks cost?
7. 7.1 : 4 = ? : 20
8. 8.Are 3, 9, 2 and 7 in proportion? (a) Yes (b) No
9. 9.A library shelf has 24 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 24 : 56 (b) 3 : 7 (c) 4 : 8 (d) 7 : 3
10. 10.A library shelf has 18 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 18 : 8 (d) 10 : 5
11. 11.₹2600 is shared between Riya and Dev in the ratio 5 : 8. How many rupees does Dev get?
12. 12.3 : 4 = 24 : ?
13. 13.If 7 mangoes cost ₹350, how many rupees do 10 mangoes cost?
14. 14.Are 6, 9, 10 and 17 in proportion? (a) No (b) Yes
15. 15.A garden has 10 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 10 : 15 (d) 3 : 2
16. 16.Are 3, 18, 8 and 50 in proportion? (a) No (b) Yes
17. 17.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 16 : 4
18. 18.4 : 7 = ? : 28
19. 19.1 : 9 = ? : 81
20. 20.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
21. 21.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 5 hours?
22. 22.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
23. 23.Write the ratio 21 : 7 in its simplest form. (a) 4 : 2 (b) 3 : 1 (c) 1 : 3 (d) 21 : 7
24. 24.If 2 notebooks cost ₹98, how many rupees do 11 notebooks cost?
25. 25.3 : 4 = ? : 20
26. 26.3 : 7 = ? : 63
27. 27.Write the ratio 35 : 40 in its simplest form. (a) 8 : 9 (b) 35 : 40 (c) 7 : 8 (d) 8 : 7
28. 28.Are 14, 18, 21 and 30 in proportion? (a) No (b) Yes
29. 29.Are 9, 15, 18 and 30 in proportion? (a) Yes (b) No
30. 30.Write the ratio 24 : 40 in its simplest form. (a) 3 : 5 (b) 24 : 40 (c) 5 : 3 (d) 4 : 6
31. 31.If 6 notebooks cost ₹114, how many rupees do 4 notebooks cost?
32. 32.2 : 7 = 12 : ?
33. 33.A team has 40 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 40 : 32 (c) 6 : 5 (d) 5 : 4
34. 34.A basket has 27 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 8 (b) 27 : 63 (c) 7 : 3 (d) 3 : 7
35. 35.If 8 bus tickets cost ₹352, how many rupees do 3 bus tickets cost?
36. 36.If 3 mangoes cost ₹18, how many rupees do 9 mangoes cost?
37. 37.1 : 3 = ? : 12
38. 38.₹2090 is shared between Pooja and Riya in the ratio 3 : 8. How many rupees does Pooja get?
39. 39.2 : 3 = ? : 6
40. 40.A box has 8 red pens and 2 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 2 (b) 4 : 1 (c) 1 : 4 (d) 5 : 2

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