Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 82 · 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 18 : 3 in its simplest form. (a) 18 : 3 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
2. 2.₹650 is shared between Tara and Ananya in the ratio 6 : 7. How many rupees does Tara get?
3. 3.2 : 7 = 4 : ?
4. 4.2 : 7 = 6 : ?
5. 5.A box has 20 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 20 : 25
6. 6.5 : 6 = 35 : ?
7. 7.Are 8, 10, 36 and 45 in proportion? (a) Yes (b) No
8. 8.A library shelf has 36 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 10 (b) 9 : 4 (c) 4 : 9 (d) 36 : 81
9. 9.Are 25, 30, 20 and 25 in proportion? (a) No (b) Yes
10. 10.₹2040 is shared between Kavya and Karan in the ratio 5 : 7. How many rupees does Kavya get?
11. 11.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
12. 12.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
13. 13.2 : 7 = 12 : ?
14. 14.2 : 5 = ? : 10
15. 15.Write the ratio 12 : 16 in its simplest form. (a) 4 : 5 (b) 4 : 3 (c) 12 : 16 (d) 3 : 4
16. 16.1 : 7 = 8 : ?
17. 17.Write the ratio 63 : 27 in its simplest form. (a) 8 : 4 (b) 63 : 27 (c) 3 : 7 (d) 7 : 3
18. 18.₹120 is shared between Ananya and Nisha in the ratio 5 : 7. How many rupees does Ananya get?
19. 19.A class has 4 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 7 (b) 2 : 8 (c) 4 : 28 (d) 7 : 1
20. 20.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
21. 21.Write the ratio 49 : 56 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 49 : 56 (d) 8 : 7
22. 22.A team has 56 batters and 64 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 56 : 64
23. 23.₹360 is shared between Diya and Kabir in the ratio 1 : 3. How many rupees does Diya get?
24. 24.2 : 3 = ? : 27
25. 25.Are 2, 16, 9 and 72 in proportion? (a) Yes (b) No
26. 26.If 3 bus tickets cost ₹123, how many rupees do 9 bus tickets cost?
27. 27.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
28. 28.6 : 7 = ? : 70
29. 29.If 9 bus tickets cost ₹351, how many rupees do 3 bus tickets cost?
30. 30.Write the ratio 40 : 56 in its simplest form. (a) 5 : 7 (b) 40 : 56 (c) 7 : 5 (d) 6 : 8
31. 31.1 : 4 = ? : 32
32. 32.5 : 8 = 10 : ?
33. 33.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
34. 34.Write the ratio 40 : 64 in its simplest form. (a) 40 : 64 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
35. 35.If 7 pens cost ₹322, how many rupees do 2 pens cost?
36. 36.If 3 chocolates cost ₹54, how many rupees do 10 chocolates cost?
37. 37.A basket has 4 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 8 (b) 7 : 1 (c) 4 : 28 (d) 1 : 7
38. 38.4 : 5 = ? : 30
39. 39.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 4 hours?
40. 40.If 4 ice creams cost ₹136, how many rupees do 6 ice creams cost?

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