Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 318 · 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 bus goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
2. 2.₹2160 is shared between Karan and Rahul in the ratio 5 : 7. How many rupees does Karan get?
3. 3.If 5 chocolates cost ₹195, how many rupees do 2 chocolates cost?
4. 4.4 : 7 = 20 : ?
5. 5.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
6. 6.Write the ratio 21 : 24 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 21 : 24
7. 7.Write the ratio 35 : 7 in its simplest form. (a) 6 : 2 (b) 35 : 7 (c) 5 : 1 (d) 1 : 5
8. 8.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 4 : 10 (d) 5 : 2
9. 9.Are 6, 36, 5 and 33 in proportion? (a) No (b) Yes
10. 10.Are 9, 12, 24 and 34 in proportion? (a) Yes (b) No
11. 11.Are 20, 32, 35 and 56 in proportion? (a) No (b) Yes
12. 12.Write the ratio 27 : 36 in its simplest form. (a) 3 : 4 (b) 27 : 36 (c) 4 : 5 (d) 4 : 3
13. 13.If 2 bus tickets cost ₹100, how many rupees do 10 bus tickets cost?
14. 14.Write the ratio 6 : 9 in its simplest form. (a) 3 : 4 (b) 6 : 9 (c) 3 : 2 (d) 2 : 3
15. 15.If 3 notebooks cost ₹123, how many rupees do 4 notebooks cost?
16. 16.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
17. 17.7 : 8 = ? : 64
18. 18.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
19. 19.Are 25, 30, 35 and 43 in proportion? (a) Yes (b) No
20. 20.2 : 9 = 10 : ?
21. 21.1 : 4 = ? : 8
22. 22.Write the ratio 36 : 28 in its simplest form. (a) 36 : 28 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7
23. 23.Are 2, 10, 3 and 16 in proportion? (a) Yes (b) No
24. 24.Write the ratio 40 : 5 in its simplest form. (a) 9 : 2 (b) 1 : 8 (c) 40 : 5 (d) 8 : 1
25. 25.A class has 25 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 25 : 40 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
26. 26.Write the ratio 16 : 40 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 3 : 6 (d) 16 : 40
27. 27.Are 10, 14, 30 and 42 in proportion? (a) Yes (b) No
28. 28.A team has 10 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 10 : 25
29. 29.Are 40, 45, 24 and 27 in proportion? (a) No (b) Yes
30. 30.If 7 mangoes cost ₹364, how many rupees do 9 mangoes cost?
31. 31.Are 6, 21, 14 and 52 in proportion? (a) Yes (b) No
32. 32.A class has 4 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 4 (b) 3 : 1 (c) 1 : 3 (d) 4 : 12
33. 33.1 : 2 = ? : 6
34. 34.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 2 hours?
35. 35.4 : 7 = 16 : ?
36. 36.₹400 is shared between Isha and Aarav in the ratio 1 : 3. How many rupees does Aarav get?
37. 37.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
39. 39.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
40. 40.Are 10, 12, 15 and 21 in proportion? (a) Yes (b) No

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