Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 253 · 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 20 : 28 in its simplest form. (a) 5 : 7 (b) 6 : 8 (c) 20 : 28 (d) 7 : 5
2. 2.2 : 9 = 14 : ?
3. 3.A basket has 56 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 56 : 48 (b) 7 : 6 (c) 6 : 7 (d) 8 : 7
4. 4.A box has 12 red pens and 3 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 12 : 3 (b) 5 : 2 (c) 1 : 4 (d) 4 : 1
5. 5.₹2800 is shared between Isha and Zoya in the ratio 5 : 9. How many rupees does Zoya get?
6. 6.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
7. 7.5 : 8 = ? : 48
8. 8.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
9. 9.A basket has 42 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 42 : 36 (b) 6 : 7 (c) 8 : 7 (d) 7 : 6
10. 10.4 : 9 = ? : 54
11. 11.A garden has 7 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 56 (b) 1 : 8 (c) 2 : 9 (d) 8 : 1
12. 12.Write the ratio 10 : 5 in its simplest form. (a) 10 : 5 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2
13. 13.2 : 7 = ? : 14
14. 14.3 : 7 = ? : 28
15. 15.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
16. 16.₹260 is shared between Tara and Isha in the ratio 5 : 8. How many rupees does Isha get?
17. 17.A library shelf has 63 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 63 : 9 (b) 1 : 7 (c) 8 : 2 (d) 7 : 1
18. 18.5 : 8 = ? : 32
19. 19.Are 18, 30, 27 and 45 in proportion? (a) No (b) Yes
20. 20.3 : 5 = ? : 45
21. 21.3 : 5 = 21 : ?
22. 22.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
23. 23.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
24. 24.Write the ratio 4 : 32 in its simplest form. (a) 1 : 8 (b) 4 : 32 (c) 8 : 1 (d) 2 : 9
25. 25.7 : 8 = 35 : ?
26. 26.Are 15, 20, 9 and 12 in proportion? (a) Yes (b) No
27. 27.Write the ratio 16 : 36 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 16 : 36 (d) 5 : 10
28. 28.A basket has 35 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 40 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
29. 29.Are 20, 24, 35 and 42 in proportion? (a) No (b) Yes
30. 30.Are 4, 12, 2 and 8 in proportion? (a) No (b) Yes
31. 31.If 9 ice creams cost ₹117, how many rupees do 6 ice creams cost?
32. 32.A class has 15 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 25 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
33. 33.Are 5, 45, 9 and 84 in proportion? (a) Yes (b) No
34. 34.If 8 bus tickets cost ₹240, how many rupees do 3 bus tickets cost?
35. 35.Are 35, 45, 21 and 28 in proportion? (a) No (b) Yes
36. 36.If 2 ice creams cost ₹56, how many rupees do 6 ice creams cost?
37. 37.If 3 mangoes cost ₹39, how many rupees do 10 mangoes cost?
38. 38.8 : 9 = 56 : ?
39. 39.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
40. 40.A box has 9 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 9 : 24 (c) 3 : 8 (d) 4 : 9

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