Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 387 · 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. 1.2 : 7 = ? : 35
2. 2.Write the ratio 28 : 4 in its simplest form. (a) 8 : 2 (b) 7 : 1 (c) 28 : 4 (d) 1 : 7
3. 3.A basket has 9 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 9 : 3 (c) 3 : 1 (d) 4 : 2
4. 4.A team has 6 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 6 : 21
5. 5.Write the ratio 15 : 27 in its simplest form. (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 15 : 27
6. 6.If 7 chocolates cost ₹266, how many rupees do 12 chocolates cost?
7. 7.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
8. 8.Write the ratio 72 : 64 in its simplest form. (a) 10 : 9 (b) 72 : 64 (c) 8 : 9 (d) 9 : 8
9. 9.A class has 7 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 21 (b) 1 : 3 (c) 3 : 1 (d) 2 : 4
10. 10.Are 10, 15, 4 and 8 in proportion? (a) No (b) Yes
11. 11.Write the ratio 14 : 18 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 8 : 10 (d) 14 : 18
12. 12.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
13. 13.Are 3, 15, 6 and 30 in proportion? (a) No (b) Yes
14. 14.₹1680 is shared between Farhan and Diya in the ratio 5 : 9. How many rupees does Diya get?
15. 15.If 6 notebooks cost ₹330, how many rupees do 7 notebooks cost?
16. 16.A basket has 12 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 5 (b) 12 : 20 (c) 4 : 6 (d) 5 : 3
17. 17.3 : 4 = 18 : ?
18. 18.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
19. 19.5 : 9 = 15 : ?
20. 20.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 2 hours?
21. 21.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 5 hours?
22. 22.If 7 notebooks cost ₹336, how many rupees do 8 notebooks cost?
23. 23.A team has 18 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 9 (b) 8 : 3 (c) 18 : 48 (d) 3 : 8
24. 24.2 : 9 = 6 : ?
25. 25.₹480 is shared between Karan and Aarav in the ratio 1 : 2. How many rupees does Karan get?
26. 26.5 : 8 = 15 : ?
27. 27.Are 5, 10, 7 and 14 in proportion? (a) No (b) Yes
28. 28.Write the ratio 8 : 12 in its simplest form. (a) 8 : 12 (b) 2 : 3 (c) 3 : 4 (d) 3 : 2
29. 29.A scooter goes 360 km in 6 hours. At the same speed, how many km does it go in 5 hours?
30. 30.4 : 5 = ? : 35
31. 31.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
32. 32.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
33. 33.Write the ratio 9 : 36 in its simplest form. (a) 2 : 5 (b) 1 : 4 (c) 4 : 1 (d) 9 : 36
34. 34.A team has 10 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 6 : 9 (c) 8 : 5 (d) 10 : 16
35. 35.If 9 chocolates cost ₹54, how many rupees do 10 chocolates cost?
36. 36.A class has 9 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 9 : 12 (c) 3 : 4 (d) 4 : 5
37. 37.Write the ratio 36 : 27 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 36 : 27 (d) 4 : 3
38. 38.Write the ratio 5 : 25 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 1 : 5 (d) 5 : 25
39. 39.2 : 7 = ? : 49
40. 40.₹330 is shared between Priya and Arjun in the ratio 5 : 6. How many rupees does Arjun get?

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