Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 347 · 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 box has 8 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 7 (b) 8 : 14 (c) 5 : 8 (d) 7 : 4
2. 2.Write the ratio 36 : 27 in its simplest form. (a) 36 : 27 (b) 3 : 4 (c) 5 : 4 (d) 4 : 3
3. 3.2 : 5 = 20 : ?
4. 4.Are 5, 25, 2 and 12 in proportion? (a) No (b) Yes
5. 5.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
6. 6.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Are 4, 12, 2 and 6 in proportion? (a) Yes (b) No
8. 8.If 8 bus tickets cost ₹32, how many rupees do 11 bus tickets cost?
9. 9.Write the ratio 8 : 10 in its simplest form. (a) 5 : 4 (b) 8 : 10 (c) 4 : 5 (d) 5 : 6
10. 10.₹1190 is shared between Joseph and Zoya in the ratio 2 : 5. How many rupees does Joseph get?
11. 11.Are 16, 20, 36 and 46 in proportion? (a) No (b) Yes
12. 12.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
13. 13.4 : 5 = ? : 50
14. 14.1 : 6 = ? : 24
15. 15.3 : 5 = 24 : ?
16. 16.1 : 7 = 9 : ?
17. 17.Write the ratio 28 : 49 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 28 : 49
18. 18.Write the ratio 10 : 12 in its simplest form. (a) 10 : 12 (b) 6 : 7 (c) 6 : 5 (d) 5 : 6
19. 19.A library shelf has 2 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 5 (b) 2 : 6 (c) 2 : 10 (d) 5 : 1
20. 20.Write the ratio 24 : 16 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 24 : 16
21. 21.A class has 18 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 8 (b) 2 : 7 (c) 18 : 63 (d) 7 : 2
22. 22.If 2 pens cost ₹98, how many rupees do 7 pens cost?
23. 23.₹250 is shared between Tara and Farhan in the ratio 1 : 4. How many rupees does Tara get?
24. 24.A basket has 14 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 14 : 7 (d) 2 : 1
25. 25.7 : 9 = ? : 63
26. 26.Write the ratio 32 : 4 in its simplest form. (a) 1 : 8 (b) 32 : 4 (c) 8 : 1 (d) 9 : 2
27. 27.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
28. 28.Are 6, 18, 3 and 9 in proportion? (a) No (b) Yes
29. 29.Are 2, 4, 9 and 19 in proportion? (a) No (b) Yes
30. 30.Write the ratio 63 : 72 in its simplest form. (a) 63 : 72 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
31. 31.If 7 chocolates cost ₹266, how many rupees do 10 chocolates cost?
32. 32.Are 14, 18, 49 and 63 in proportion? (a) Yes (b) No
33. 33.Write the ratio 21 : 6 in its simplest form. (a) 8 : 3 (b) 7 : 2 (c) 2 : 7 (d) 21 : 6
34. 34.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
35. 35.A team has 64 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 64 : 56 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
36. 36.Write the ratio 3 : 18 in its simplest form. (a) 2 : 7 (b) 1 : 6 (c) 3 : 18 (d) 6 : 1
37. 37.A class has 48 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 7 : 2 (d) 48 : 8
38. 38.Are 14, 16, 28 and 35 in proportion? (a) Yes (b) No
39. 39.A team has 12 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 9 (b) 12 : 32 (c) 3 : 8 (d) 8 : 3
40. 40.Write the ratio 9 : 81 in its simplest form. (a) 9 : 81 (b) 2 : 10 (c) 1 : 9 (d) 9 : 1

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