Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 314 · 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.₹1430 is shared between Farhan and Isha in the ratio 3 : 8. How many rupees does Farhan get?
2. 2.₹2090 is shared between Dev and Rahul in the ratio 3 : 8. How many rupees does Rahul get?
3. 3.If 6 chocolates cost ₹318, how many rupees do 9 chocolates cost?
4. 4.Are 6, 14, 18 and 42 in proportion? (a) No (b) Yes
5. 5.₹960 is shared between Gurpreet and Rahul in the ratio 1 : 5. How many rupees does Gurpreet get?
6. 6.₹1540 is shared between Sneha and Dev in the ratio 3 : 8. How many rupees does Dev get?
7. 7.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
8. 8.2 : 5 = ? : 30
9. 9.Are 6, 30, 4 and 20 in proportion? (a) Yes (b) No
10. 10.8 : 9 = ? : 45
11. 11.If 3 ice creams cost ₹96, how many rupees do 10 ice creams cost?
12. 12.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
13. 13.₹1360 is shared between Riya and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
14. 14.2 : 9 = ? : 18
15. 15.If 4 ice creams cost ₹224, how many rupees do 10 ice creams cost?
16. 16.A train goes 260 km in 4 hours. At the same speed, how many km does it go in 7 hours?
17. 17.₹2880 is shared between Vivaan and Riya in the ratio 7 : 9. How many rupees does Riya get?
18. 18.3 : 4 = ? : 20
19. 19.A class has 20 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 6 : 4 (d) 20 : 12
20. 20.Write the ratio 14 : 16 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 7 : 8 (d) 14 : 16
21. 21.1 : 5 = 4 : ?
22. 22.If 6 bus tickets cost ₹72, how many rupees do 2 bus tickets cost?
23. 23.Write the ratio 16 : 18 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 9 : 10 (d) 16 : 18
24. 24.₹2090 is shared between Nisha and Ananya in the ratio 3 : 8. How many rupees does Ananya get?
25. 25.Write the ratio 4 : 20 in its simplest form. (a) 4 : 20 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
26. 26.Write the ratio 36 : 20 in its simplest form. (a) 36 : 20 (b) 9 : 5 (c) 10 : 6 (d) 5 : 9
27. 27.Are 18, 48, 6 and 16 in proportion? (a) No (b) Yes
28. 28.2 : 9 = ? : 90
29. 29.Are 3, 12, 5 and 22 in proportion? (a) Yes (b) No
30. 30.₹1300 is shared between Lakshmi and Rohan in the ratio 3 : 7. How many rupees does Lakshmi get?
31. 31.5 : 8 = ? : 24
32. 32.A team has 2 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 2 : 12 (c) 2 : 7 (d) 1 : 6
33. 33.Write the ratio 5 : 15 in its simplest form. (a) 3 : 1 (b) 2 : 4 (c) 5 : 15 (d) 1 : 3
34. 34.A library shelf has 8 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 8 (b) 7 : 2 (c) 2 : 7 (d) 8 : 28
35. 35.₹560 is shared between Ananya and Rohan in the ratio 1 : 7. How many rupees does Ananya get?
36. 36.A class has 9 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 9 : 15 (c) 4 : 6 (d) 3 : 5
37. 37.Are 3, 24, 2 and 16 in proportion? (a) No (b) Yes
38. 38.A box has 81 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 3 (b) 9 : 2 (c) 2 : 9 (d) 81 : 18
39. 39.A basket has 15 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 15 : 18 (c) 6 : 7 (d) 5 : 6
40. 40.Are 10, 12, 20 and 27 in proportion? (a) No (b) Yes

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