Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 128 · 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.₹360 is shared between Nisha and Lakshmi in the ratio 4 : 5. How many rupees does Nisha get?
2. 2.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 3 hours?
3. 3.A team has 5 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 2 : 8 (d) 5 : 35
4. 4.Write the ratio 6 : 9 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 6 : 9 (d) 2 : 3
5. 5.₹1330 is shared between Kabir and Karan in the ratio 3 : 4. How many rupees does Kabir get?
6. 6.Are 8, 18, 12 and 28 in proportion? (a) Yes (b) No
7. 7.Are 6, 30, 7 and 35 in proportion? (a) No (b) Yes
8. 8.1 : 3 = ? : 15
9. 9.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 12 : 9 in its simplest form. (a) 12 : 9 (b) 5 : 4 (c) 4 : 3 (d) 3 : 4
11. 11.If 2 bus tickets cost ₹36, how many rupees do 6 bus tickets cost?
12. 12.Are 10, 15, 8 and 12 in proportion? (a) No (b) Yes
13. 13.A class has 49 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 7 (b) 49 : 28 (c) 8 : 5 (d) 7 : 4
14. 14.Are 10, 35, 6 and 23 in proportion? (a) No (b) Yes
15. 15.Write the ratio 18 : 45 in its simplest form. (a) 3 : 6 (b) 18 : 45 (c) 2 : 5 (d) 5 : 2
16. 16.A team has 20 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 20 : 16 (d) 6 : 5
17. 17.A garden has 5 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 5 : 15 (d) 2 : 4
18. 18.A team has 21 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 21 : 18 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
19. 19.Write the ratio 6 : 16 in its simplest form. (a) 4 : 9 (b) 6 : 16 (c) 8 : 3 (d) 3 : 8
20. 20.1 : 7 = ? : 70
21. 21.₹400 is shared between Manav and Diya in the ratio 3 : 7. How many rupees does Manav get?
22. 22.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
23. 23.Are 6, 30, 2 and 10 in proportion? (a) No (b) Yes
24. 24.4 : 5 = ? : 35
25. 25.Are 10, 18, 15 and 28 in proportion? (a) No (b) Yes
26. 26.₹1600 is shared between Riya and Kabir in the ratio 3 : 5. How many rupees does Riya get?
27. 27.Are 8, 12, 16 and 24 in proportion? (a) Yes (b) No
28. 28.Are 12, 14, 18 and 21 in proportion? (a) No (b) Yes
29. 29.Are 3, 15, 2 and 10 in proportion? (a) No (b) Yes
30. 30.Are 10, 12, 35 and 42 in proportion? (a) No (b) Yes
31. 31.Are 8, 12, 14 and 21 in proportion? (a) No (b) Yes
32. 32.If 9 pens cost ₹351, how many rupees do 2 pens cost?
33. 33.Write the ratio 45 : 81 in its simplest form. (a) 6 : 10 (b) 5 : 9 (c) 45 : 81 (d) 9 : 5
34. 34.₹1760 is shared between Saanvi and Meera in the ratio 5 : 6. How many rupees does Meera get?
35. 35.₹150 is shared between Pooja and Arjun in the ratio 1 : 4. How many rupees does Arjun get?
36. 36.5 : 8 = 30 : ?
37. 37.5 : 7 = ? : 63
38. 38.Write the ratio 20 : 28 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 20 : 28 (d) 5 : 7
39. 39.If 3 mangoes cost ₹147, how many rupees do 11 mangoes cost?
40. 40.A class has 16 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 6 (b) 16 : 20 (c) 4 : 5 (d) 5 : 4

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