Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 171 · 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. 1.1 : 7 = ? : 35
2. 2.If 3 notebooks cost ₹156, how many rupees do 4 notebooks cost?
3. 3.Are 6, 12, 8 and 16 in proportion? (a) No (b) Yes
4. 4.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
5. 5.3 : 4 = ? : 12
6. 6.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
7. 7.A library shelf has 10 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 2 (b) 2 : 7 (c) 3 : 8 (d) 10 : 35
8. 8.Write the ratio 2 : 8 in its simplest form. (a) 2 : 5 (b) 4 : 1 (c) 2 : 8 (d) 1 : 4
9. 9.2 : 7 = 12 : ?
10. 10.Are 12, 42, 14 and 51 in proportion? (a) Yes (b) No
11. 11.Are 6, 24, 2 and 9 in proportion? (a) No (b) Yes
12. 12.Write the ratio 24 : 4 in its simplest form. (a) 24 : 4 (b) 7 : 2 (c) 6 : 1 (d) 1 : 6
13. 13.A basket has 30 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 30 : 25 (c) 7 : 6 (d) 5 : 6
14. 14.If 7 ice creams cost ₹343, how many rupees do 3 ice creams cost?
15. 15.A garden has 14 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 14 : 8 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
16. 16.1 : 3 = ? : 24
17. 17.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
18. 18.Write the ratio 16 : 6 in its simplest form. (a) 9 : 4 (b) 16 : 6 (c) 3 : 8 (d) 8 : 3
19. 19.A box has 27 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 9 (b) 27 : 12 (c) 10 : 5 (d) 9 : 4
20. 20.Are 25, 35, 15 and 23 in proportion? (a) Yes (b) No
21. 21.₹1870 is shared between Dev and Aditya in the ratio 8 : 9. How many rupees does Aditya get?
22. 22.A train goes 275 km in 5 hours. At the same speed, how many km does it go in 6 hours?
23. 23.Write the ratio 21 : 35 in its simplest form. (a) 21 : 35 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
24. 24.A class has 63 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 9 (b) 63 : 28 (c) 10 : 5 (d) 9 : 4
25. 25.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
26. 26.2 : 5 = ? : 35
27. 27.1 : 5 = 7 : ?
28. 28.₹1430 is shared between Gurpreet and Meera in the ratio 3 : 8. How many rupees does Gurpreet get?
29. 29.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 8 hours?
30. 30.Are 14, 16, 21 and 26 in proportion? (a) No (b) Yes
31. 31.Write the ratio 12 : 16 in its simplest form. (a) 12 : 16 (b) 3 : 4 (c) 4 : 3 (d) 4 : 5
32. 32.A box has 40 red pens and 5 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 8 (b) 40 : 5 (c) 8 : 1 (d) 9 : 2
33. 33.Write the ratio 24 : 18 in its simplest form. (a) 24 : 18 (b) 3 : 4 (c) 4 : 3 (d) 5 : 4
34. 34.A garden has 16 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 16 : 24
35. 35.A train goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
36. 36.Write the ratio 2 : 10 in its simplest form. (a) 2 : 6 (b) 2 : 10 (c) 5 : 1 (d) 1 : 5
37. 37.1 : 4 = 5 : ?
38. 38.Are 2, 16, 5 and 42 in proportion? (a) No (b) Yes
39. 39.Write the ratio 4 : 6 in its simplest form. (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 4 : 6
40. 40.2 : 3 = ? : 12

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