Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 45 · 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. 1.7 : 8 = ? : 32
2. 2.If 5 chocolates cost ₹240, how many rupees do 11 chocolates cost?
3. 3.Write the ratio 6 : 14 in its simplest form. (a) 3 : 7 (b) 6 : 14 (c) 4 : 8 (d) 7 : 3
4. 4.Write the ratio 81 : 45 in its simplest form. (a) 81 : 45 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
5. 5.4 : 9 = ? : 18
6. 6.Write the ratio 10 : 16 in its simplest form. (a) 6 : 9 (b) 5 : 8 (c) 10 : 16 (d) 8 : 5
7. 7.1 : 5 = ? : 45
8. 8.5 : 8 = ? : 56
9. 9.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
10. 10.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
11. 11.Write the ratio 21 : 56 in its simplest form. (a) 8 : 3 (b) 21 : 56 (c) 3 : 8 (d) 4 : 9
12. 12.Write the ratio 8 : 32 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 8 : 32
13. 13.Are 10, 16, 25 and 42 in proportion? (a) Yes (b) No
14. 14.A class has 21 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 8 : 5 (c) 21 : 12 (d) 4 : 7
15. 15.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
16. 16.Write the ratio 24 : 3 in its simplest form. (a) 24 : 3 (b) 1 : 8 (c) 8 : 1 (d) 9 : 2
17. 17.Write the ratio 2 : 8 in its simplest form. (a) 2 : 5 (b) 2 : 8 (c) 1 : 4 (d) 4 : 1
18. 18.₹1170 is shared between Arjun and Karan in the ratio 5 : 8. How many rupees does Arjun get?
19. 19.Are 9, 15, 18 and 31 in proportion? (a) No (b) Yes
20. 20.If 5 bus tickets cost ₹70, how many rupees do 3 bus tickets cost?
21. 21.1 : 7 = 3 : ?
22. 22.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 8 hours?
23. 23.2 : 5 = ? : 35
24. 24.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
25. 25.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
26. 26.A basket has 24 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 2 (b) 24 : 16 (c) 2 : 3 (d) 4 : 3
27. 27.If 5 ice creams cost ₹220, how many rupees do 6 ice creams cost?
28. 28.3 : 7 = ? : 56
29. 29.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
30. 30.Write the ratio 20 : 35 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 5 : 8 (d) 20 : 35
31. 31.₹800 is shared between Sneha and Saanvi in the ratio 1 : 7. How many rupees does Saanvi get?
32. 32.Write the ratio 25 : 10 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 5 : 2 (d) 25 : 10
33. 33.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
34. 34.If 8 notebooks cost ₹256, how many rupees do 4 notebooks cost?
35. 35.Are 9, 21, 15 and 35 in proportion? (a) No (b) Yes
36. 36.Write the ratio 56 : 40 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 56 : 40 (d) 5 : 7
37. 37.Write the ratio 21 : 35 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 21 : 35
38. 38.2 : 5 = ? : 50
39. 39.Write the ratio 49 : 14 in its simplest form. (a) 8 : 3 (b) 7 : 2 (c) 49 : 14 (d) 2 : 7
40. 40.A box has 16 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 16 : 6 (c) 3 : 8 (d) 8 : 3

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