Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 300 · 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.₹1140 is shared between Ananya and Diya in the ratio 1 : 5. How many rupees does Ananya get?
2. 2.Are 10, 15, 14 and 21 in proportion? (a) No (b) Yes
3. 3.If 9 chocolates cost ₹432, how many rupees do 12 chocolates cost?
4. 4.Write the ratio 72 : 45 in its simplest form. (a) 72 : 45 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
5. 5.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
6. 6.Write the ratio 7 : 14 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 7 : 14
7. 7.Write the ratio 15 : 3 in its simplest form. (a) 5 : 1 (b) 6 : 2 (c) 1 : 5 (d) 15 : 3
8. 8.3 : 8 = ? : 72
9. 9.A box has 49 red pens and 7 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 49 : 7 (d) 8 : 2
10. 10.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
11. 11.A class has 2 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 3 (b) 2 : 6 (c) 3 : 1 (d) 2 : 4
12. 12.1 : 5 = ? : 35
13. 13.5 : 6 = 40 : ?
14. 14.Write the ratio 63 : 14 in its simplest form. (a) 63 : 14 (b) 9 : 2 (c) 10 : 3 (d) 2 : 9
15. 15.₹720 is shared between Farhan and Kavya in the ratio 1 : 7. How many rupees does Kavya get?
16. 16.If 4 bus tickets cost ₹32, how many rupees do 12 bus tickets cost?
17. 17.1 : 4 = ? : 16
18. 18.A class has 8 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 8 : 18
19. 19.1 : 4 = ? : 28
20. 20.Are 8, 20, 12 and 32 in proportion? (a) Yes (b) No
21. 21.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
22. 22.A class has 40 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 40 : 5 (d) 8 : 1
23. 23.Are 6, 16, 21 and 56 in proportion? (a) Yes (b) No
24. 24.A team has 14 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 7 (b) 14 : 16 (c) 7 : 8 (d) 8 : 9
25. 25.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 7 hours?
26. 26.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 1 hour?
27. 27.1 : 8 = 8 : ?
28. 28.Are 15, 21, 20 and 28 in proportion? (a) Yes (b) No
29. 29.If 4 notebooks cost ₹20, how many rupees do 8 notebooks cost?
30. 30.Are 24, 28, 18 and 24 in proportion? (a) Yes (b) No
31. 31.Are 8, 20, 10 and 28 in proportion? (a) No (b) Yes
32. 32.If 7 notebooks cost ₹63, how many rupees do 10 notebooks cost?
33. 33.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Write the ratio 6 : 27 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 3 : 10 (d) 6 : 27
35. 35.3 : 4 = 21 : ?
36. 36.If 3 bus tickets cost ₹57, how many rupees do 12 bus tickets cost?
37. 37.Are 5, 40, 3 and 27 in proportion? (a) Yes (b) No
38. 38.₹900 is shared between Saanvi and Meera in the ratio 1 : 9. How many rupees does Meera get?
39. 39.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
40. 40.1 : 7 = 2 : ?

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