Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 427 · 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.₹250 is shared between Rohan and Kavya in the ratio 2 : 3. How many rupees does Rohan get?
2. 2.₹2600 is shared between Ishaan and Ananya in the ratio 4 : 9. How many rupees does Ishaan get?
3. 3.5 : 7 = 15 : ?
4. 4.A basket has 35 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 8 : 3 (d) 35 : 10
5. 5.A class has 25 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 5 (b) 6 : 4 (c) 25 : 15 (d) 5 : 3
6. 6.A box has 40 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 9 : 4 (c) 8 : 3 (d) 40 : 15
7. 7.₹1440 is shared between Manav and Gurpreet in the ratio 3 : 5. How many rupees does Gurpreet get?
8. 8.Are 35, 40, 42 and 48 in proportion? (a) No (b) Yes
9. 9.1 : 2 = 6 : ?
10. 10.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 3 hours?
11. 11.1 : 3 = ? : 21
12. 12.A garden has 25 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 5 (b) 25 : 15 (c) 5 : 3 (d) 6 : 4
13. 13.If 9 chocolates cost ₹459, how many rupees do 3 chocolates cost?
14. 14.If 4 ice creams cost ₹152, how many rupees do 8 ice creams cost?
15. 15.1 : 4 = ? : 32
16. 16.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
17. 17.A team has 8 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 2 : 7 (c) 6 : 1 (d) 8 : 48
18. 18.3 : 4 = ? : 16
19. 19.Are 25, 30, 20 and 24 in proportion? (a) No (b) Yes
20. 20.Write the ratio 24 : 3 in its simplest form. (a) 9 : 2 (b) 24 : 3 (c) 1 : 8 (d) 8 : 1
21. 21.1 : 3 = ? : 9
22. 22.₹360 is shared between Aarav and Isha in the ratio 2 : 7. How many rupees does Aarav get?
23. 23.Write the ratio 30 : 54 in its simplest form. (a) 30 : 54 (b) 9 : 5 (c) 5 : 9 (d) 6 : 10
24. 24.5 : 7 = 25 : ?
25. 25.₹880 is shared between Kavya and Ishaan in the ratio 3 : 5. How many rupees does Kavya get?
26. 26.If 4 chocolates cost ₹188, how many rupees do 12 chocolates cost?
27. 27.Write the ratio 27 : 15 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 10 : 6 (d) 27 : 15
28. 28.₹630 is shared between Riya and Gurpreet in the ratio 1 : 8. How many rupees does Riya get?
29. 29.4 : 5 = 24 : ?
30. 30.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
31. 31.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 2 hours?
32. 32.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
33. 33.If 4 mangoes cost ₹72, how many rupees do 5 mangoes cost?
34. 34.₹510 is shared between Sneha and Isha in the ratio 8 : 9. How many rupees does Isha get?
35. 35.Write the ratio 16 : 14 in its simplest form. (a) 7 : 8 (b) 9 : 8 (c) 8 : 7 (d) 16 : 14
36. 36.A class has 20 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 6 : 5 (d) 20 : 16
37. 37.₹2200 is shared between Riya and Saanvi in the ratio 3 : 8. How many rupees does Riya get?
38. 38.If 2 mangoes cost ₹6, how many rupees do 4 mangoes cost?
39. 39.Write the ratio 9 : 81 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 2 : 10 (d) 9 : 81
40. 40.6 : 7 = ? : 63

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