Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 348 · 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.₹1120 is shared between Aarav and Isha in the ratio 1 : 7. How many rupees does Aarav get?
2. 2.A team has 15 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 24 (b) 5 : 8 (c) 6 : 9 (d) 8 : 5
3. 3.A box has 9 red pens and 3 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 2 (b) 9 : 3 (c) 1 : 3 (d) 3 : 1
4. 4.A class has 6 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 5 (b) 6 : 10 (c) 4 : 6 (d) 5 : 3
5. 5.Are 2, 12, 6 and 37 in proportion? (a) Yes (b) No
6. 6.Are 5, 45, 8 and 74 in proportion? (a) Yes (b) No
7. 7.Are 9, 24, 24 and 66 in proportion? (a) No (b) Yes
8. 8.Are 25, 30, 40 and 50 in proportion? (a) No (b) Yes
9. 9.Write the ratio 56 : 40 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 56 : 40 (d) 8 : 6
10. 10.Write the ratio 21 : 9 in its simplest form. (a) 21 : 9 (b) 7 : 3 (c) 8 : 4 (d) 3 : 7
11. 11.If 6 bus tickets cost ₹252, how many rupees do 2 bus tickets cost?
12. 12.7 : 8 = ? : 80
13. 13.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 3 : 6 (c) 1 : 2 (d) 2 : 1
14. 14.Write the ratio 14 : 35 in its simplest form. (a) 14 : 35 (b) 3 : 6 (c) 2 : 5 (d) 5 : 2
15. 15.₹360 is shared between Riya and Zoya in the ratio 4 : 5. How many rupees does Zoya get?
16. 16.Are 12, 32, 18 and 51 in proportion? (a) Yes (b) No
17. 17.₹660 is shared between Aditya and Kabir in the ratio 1 : 5. How many rupees does Aditya get?
18. 18.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
19. 19.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
20. 20.3 : 8 = ? : 16
21. 21.₹360 is shared between Kabir and Kavya in the ratio 2 : 7. How many rupees does Kabir get?
22. 22.Write the ratio 56 : 16 in its simplest form. (a) 56 : 16 (b) 2 : 7 (c) 8 : 3 (d) 7 : 2
23. 23.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
24. 24.Write the ratio 64 : 8 in its simplest form. (a) 1 : 8 (b) 64 : 8 (c) 9 : 2 (d) 8 : 1
25. 25.If 6 chocolates cost ₹168, how many rupees do 8 chocolates cost?
26. 26.Are 8, 36, 6 and 29 in proportion? (a) No (b) Yes
27. 27.Write the ratio 45 : 9 in its simplest form. (a) 6 : 2 (b) 5 : 1 (c) 45 : 9 (d) 1 : 5
28. 28.Write the ratio 14 : 12 in its simplest form. (a) 14 : 12 (b) 6 : 7 (c) 7 : 6 (d) 8 : 7
29. 29.Are 20, 28, 10 and 14 in proportion? (a) Yes (b) No
30. 30.A box has 6 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 8 (b) 2 : 9 (c) 8 : 1 (d) 6 : 48
31. 31.Write the ratio 6 : 48 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 6 : 48 (d) 1 : 8
32. 32.Write the ratio 45 : 63 in its simplest form. (a) 5 : 7 (b) 45 : 63 (c) 7 : 5 (d) 6 : 8
33. 33.Write the ratio 3 : 12 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 2 : 5 (d) 3 : 12
34. 34.2 : 3 = ? : 30
35. 35.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
36. 36.₹2080 is shared between Isha and Manav in the ratio 6 : 7. How many rupees does Isha get?
37. 37.1 : 9 = 7 : ?
38. 38.Write the ratio 64 : 72 in its simplest form. (a) 64 : 72 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
39. 39.Write the ratio 35 : 25 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 35 : 25
40. 40.3 : 5 = ? : 50

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