Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 289 · 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 : 5 = ? : 20
2. 2.If 7 notebooks cost ₹329, how many rupees do 4 notebooks cost?
3. 3.A box has 20 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 9 (b) 8 : 5 (c) 5 : 8 (d) 20 : 32
4. 4.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 5 hours?
5. 5.8 : 9 = ? : 81
6. 6.A team has 10 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 10 : 15 (d) 3 : 2
7. 7.Are 12, 32, 15 and 43 in proportion? (a) No (b) Yes
8. 8.3 : 7 = 12 : ?
9. 9.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
10. 10.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
11. 11.1 : 2 = 7 : ?
12. 12.Are 15, 40, 9 and 24 in proportion? (a) No (b) Yes
13. 13.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 1 hour?
14. 14.5 : 6 = 35 : ?
15. 15.3 : 5 = 18 : ?
16. 16.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
17. 17.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
18. 18.Are 6, 10, 9 and 15 in proportion? (a) Yes (b) No
19. 19.A class has 7 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 3 (b) 7 : 21 (c) 2 : 4 (d) 3 : 1
20. 20.2 : 5 = 6 : ?
21. 21.₹640 is shared between Pooja and Ishaan in the ratio 3 : 5. How many rupees does Ishaan get?
22. 22.Are 4, 12, 9 and 30 in proportion? (a) Yes (b) No
23. 23.If 6 ice creams cost ₹162, how many rupees do 7 ice creams cost?
24. 24.Are 2, 18, 6 and 57 in proportion? (a) Yes (b) No
25. 25.7 : 9 = ? : 27
26. 26.Write the ratio 30 : 5 in its simplest form. (a) 1 : 6 (b) 30 : 5 (c) 6 : 1 (d) 7 : 2
27. 27.A basket has 7 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 7 : 35
28. 28.Write the ratio 56 : 7 in its simplest form. (a) 9 : 2 (b) 8 : 1 (c) 56 : 7 (d) 1 : 8
29. 29.A class has 5 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 6 (b) 5 : 25 (c) 1 : 5 (d) 5 : 1
30. 30.If 8 pens cost ₹88, how many rupees do 10 pens cost?
31. 31.A car goes 195 km in 3 hours. At the same speed, how many km does it go in 1 hour?
32. 32.₹650 is shared between Saanvi and Rahul in the ratio 1 : 4. How many rupees does Saanvi get?
33. 33.Write the ratio 27 : 45 in its simplest form. (a) 27 : 45 (b) 3 : 5 (c) 5 : 3 (d) 4 : 6
34. 34.Write the ratio 14 : 16 in its simplest form. (a) 8 : 9 (b) 7 : 8 (c) 14 : 16 (d) 8 : 7
35. 35.₹900 is shared between Rohan and Gurpreet in the ratio 1 : 8. How many rupees does Gurpreet get?
36. 36.If 5 pens cost ₹90, how many rupees do 4 pens cost?
37. 37.Write the ratio 40 : 45 in its simplest form. (a) 9 : 10 (b) 8 : 9 (c) 40 : 45 (d) 9 : 8
38. 38.Are 6, 10, 9 and 17 in proportion? (a) Yes (b) No
39. 39.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
40. 40.₹2700 is shared between Ishaan and Kabir in the ratio 7 : 8. How many rupees does Ishaan get?

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