Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 35 · 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.Write the ratio 8 : 6 in its simplest form. (a) 8 : 6 (b) 5 : 4 (c) 3 : 4 (d) 4 : 3
2. 2.Are 18, 30, 27 and 45 in proportion? (a) No (b) Yes
3. 3.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 4 hours?
4. 4.Write the ratio 12 : 20 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 4 : 6 (d) 12 : 20
5. 5.2 : 3 = ? : 15
6. 6.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
7. 7.Are 24, 42, 12 and 22 in proportion? (a) No (b) Yes
8. 8.Are 14, 18, 35 and 45 in proportion? (a) Yes (b) No
9. 9.4 : 7 = 20 : ?
10. 10.A team has 30 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 7 : 2 (c) 1 : 6 (d) 30 : 5
11. 11.If 9 bus tickets cost ₹252, how many rupees do 11 bus tickets cost?
12. 12.If 2 pens cost ₹30, how many rupees do 8 pens cost?
13. 13.If 3 pens cost ₹54, how many rupees do 8 pens cost?
14. 14.Write the ratio 56 : 21 in its simplest form. (a) 9 : 4 (b) 56 : 21 (c) 8 : 3 (d) 3 : 8
15. 15.Are 5, 35, 2 and 17 in proportion? (a) Yes (b) No
16. 16.If 7 notebooks cost ₹35, how many rupees do 3 notebooks cost?
17. 17.Are 5, 35, 3 and 22 in proportion? (a) Yes (b) No
18. 18.A garden has 3 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 3 : 21 (d) 2 : 8
19. 19.Write the ratio 2 : 10 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 2 : 10 (d) 5 : 1
20. 20.1 : 6 = ? : 54
21. 21.If 6 pens cost ₹342, how many rupees do 4 pens cost?
22. 22.7 : 8 = ? : 72
23. 23.1 : 6 = ? : 12
24. 24.If 4 ice creams cost ₹168, how many rupees do 10 ice creams cost?
25. 25.A basket has 42 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 42 : 36 (c) 8 : 7 (d) 7 : 6
26. 26.₹180 is shared between Rohan and Aarav in the ratio 4 : 5. How many rupees does Aarav get?
27. 27.Write the ratio 12 : 8 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 12 : 8 (d) 2 : 3
28. 28.If 3 bus tickets cost ₹18, how many rupees do 12 bus tickets cost?
29. 29.5 : 9 = 40 : ?
30. 30.A library shelf has 9 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 3 (b) 4 : 2 (c) 3 : 1 (d) 1 : 3
31. 31.If 3 bus tickets cost ₹48, how many rupees do 10 bus tickets cost?
32. 32.Are 24, 54, 12 and 28 in proportion? (a) Yes (b) No
33. 33.If 5 chocolates cost ₹50, how many rupees do 2 chocolates cost?
34. 34.₹1100 is shared between Diya and Meera in the ratio 4 : 7. How many rupees does Diya get?
35. 35.A basket has 63 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 63 : 35 (b) 10 : 6 (c) 9 : 5 (d) 5 : 9
36. 36.2 : 5 = 14 : ?
37. 37.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
38. 38.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 1 hour?
39. 39.3 : 7 = ? : 28
40. 40.Are 24, 42, 12 and 21 in proportion? (a) No (b) Yes

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