Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 398 · 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.Are 4, 10, 14 and 36 in proportion? (a) No (b) Yes
2. 2.If 5 mangoes cost ₹250, how many rupees do 4 mangoes cost?
3. 3.Write the ratio 45 : 9 in its simplest form. (a) 6 : 2 (b) 5 : 1 (c) 1 : 5 (d) 45 : 9
4. 4.Write the ratio 36 : 9 in its simplest form. (a) 1 : 4 (b) 36 : 9 (c) 5 : 2 (d) 4 : 1
5. 5.Write the ratio 49 : 63 in its simplest form. (a) 7 : 9 (b) 8 : 10 (c) 49 : 63 (d) 9 : 7
6. 6.If 3 ice creams cost ₹117, how many rupees do 11 ice creams cost?
7. 7.Write the ratio 16 : 4 in its simplest form. (a) 16 : 4 (b) 4 : 1 (c) 1 : 4 (d) 5 : 2
8. 8.Write the ratio 15 : 35 in its simplest form. (a) 7 : 3 (b) 3 : 7 (c) 4 : 8 (d) 15 : 35
9. 9.If 9 chocolates cost ₹144, how many rupees do 12 chocolates cost?
10. 10.₹50 is shared between Sneha and Gurpreet in the ratio 1 : 4. How many rupees does Gurpreet get?
11. 11.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
12. 12.6 : 7 = 18 : ?
13. 13.₹260 is shared between Lakshmi and Ishaan in the ratio 4 : 9. How many rupees does Lakshmi get?
14. 14.Write the ratio 35 : 7 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 35 : 7 (d) 6 : 2
15. 15.3 : 5 = ? : 30
16. 16.A basket has 6 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 8 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
17. 17.4 : 7 = 28 : ?
18. 18.Are 4, 18, 14 and 66 in proportion? (a) Yes (b) No
19. 19.₹220 is shared between Isha and Lakshmi in the ratio 5 : 6. How many rupees does Isha get?
20. 20.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
21. 21.₹1980 is shared between Diya and Nisha in the ratio 3 : 8. How many rupees does Diya get?
22. 22.4 : 9 = 12 : ?
23. 23.7 : 8 = 70 : ?
24. 24.3 : 4 = ? : 40
25. 25.A team has 10 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 14 (b) 5 : 7 (c) 6 : 8 (d) 7 : 5
26. 26.Write the ratio 35 : 14 in its simplest form. (a) 5 : 2 (b) 6 : 3 (c) 35 : 14 (d) 2 : 5
27. 27.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) 40 : 15 (b) 8 : 3 (c) 3 : 8 (d) 9 : 4
28. 28.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Are 4, 16, 2 and 9 in proportion? (a) Yes (b) No
30. 30.A box has 63 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 2 (b) 8 : 3 (c) 63 : 18 (d) 2 : 7
31. 31.7 : 9 = 63 : ?
32. 32.Are 25, 40, 20 and 33 in proportion? (a) Yes (b) No
33. 33.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
34. 34.A class has 35 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 7 : 8 (c) 35 : 40 (d) 8 : 9
35. 35.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
36. 36.Write the ratio 45 : 40 in its simplest form. (a) 8 : 9 (b) 45 : 40 (c) 9 : 8 (d) 10 : 9
37. 37.₹1500 is shared between Kavya and Riya in the ratio 1 : 9. How many rupees does Riya get?
38. 38.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
39. 39.2 : 9 = ? : 18
40. 40.Are 4, 10, 16 and 40 in proportion? (a) No (b) Yes

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