Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 57 · 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.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 7 hours?
2. 2.A train goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
3. 3.3 : 4 = 15 : ?
4. 4.Are 6, 9, 8 and 13 in proportion? (a) No (b) Yes
5. 5.Write the ratio 8 : 4 in its simplest form. (a) 2 : 1 (b) 8 : 4 (c) 3 : 2 (d) 1 : 2
6. 6.7 : 8 = ? : 40
7. 7.A bus goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
8. 8.Are 16, 20, 12 and 17 in proportion? (a) No (b) Yes
9. 9.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
10. 10.Are 24, 27, 64 and 73 in proportion? (a) No (b) Yes
11. 11.If 3 ice creams cost ₹180, how many rupees do 9 ice creams cost?
12. 12.Write the ratio 63 : 35 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 63 : 35 (d) 10 : 6
13. 13.A library shelf has 7 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 4 (b) 7 : 28 (c) 2 : 5 (d) 4 : 1
14. 14.₹1800 is shared between Saanvi and Gurpreet in the ratio 2 : 7. How many rupees does Saanvi get?
15. 15.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
16. 16.A team has 6 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 2 (b) 6 : 2 (c) 3 : 1 (d) 1 : 3
17. 17.1 : 8 = ? : 40
18. 18.Are 12, 20, 15 and 27 in proportion? (a) Yes (b) No
19. 19.Are 24, 42, 8 and 14 in proportion? (a) Yes (b) No
20. 20.5 : 8 = ? : 48
21. 21.If 5 ice creams cost ₹55, how many rupees do 4 ice creams cost?
22. 22.A garden has 36 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 36 : 20 (b) 9 : 5 (c) 10 : 6 (d) 5 : 9
23. 23.Write the ratio 4 : 8 in its simplest form. (a) 1 : 2 (b) 2 : 1 (c) 4 : 8 (d) 2 : 3
24. 24.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 5 hours?
25. 25.A library shelf has 9 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 81 (b) 2 : 10 (c) 9 : 1 (d) 1 : 9
26. 26.A box has 21 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 21 : 28 (c) 3 : 4 (d) 4 : 3
27. 27.Write the ratio 24 : 9 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 24 : 9 (d) 8 : 3
28. 28.Write the ratio 20 : 25 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 5 : 6 (d) 20 : 25
29. 29.₹1600 is shared between Isha and Dev in the ratio 3 : 5. How many rupees does Dev get?
30. 30.Are 3, 9, 5 and 18 in proportion? (a) Yes (b) No
31. 31.Are 3, 9, 8 and 27 in proportion? (a) Yes (b) No
32. 32.A library shelf has 3 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 3 : 12
33. 33.If 9 chocolates cost ₹324, how many rupees do 7 chocolates cost?
34. 34.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 8 hours?
35. 35.5 : 8 = ? : 32
36. 36.₹900 is shared between Saanvi and Vivaan in the ratio 4 : 5. How many rupees does Saanvi get?
37. 37.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
38. 38.Are 4, 20, 5 and 28 in proportion? (a) Yes (b) No
39. 39.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
40. 40.If 3 pens cost ₹87, how many rupees do 7 pens cost?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets