Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 112 · 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.₹140 is shared between Arjun and Riya in the ratio 3 : 4. How many rupees does Riya get?
2. 2.Are 9, 24, 27 and 72 in proportion? (a) Yes (b) No
3. 3.Write the ratio 9 : 15 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 9 : 15 (d) 5 : 3
4. 4.A garden has 3 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 3 : 12 (d) 2 : 5
5. 5.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
6. 6.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
7. 7.A team has 18 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 4 (b) 4 : 5 (c) 4 : 3 (d) 18 : 24
8. 8.Are 2, 4, 3 and 6 in proportion? (a) No (b) Yes
9. 9.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 20 : 25 in its simplest form. (a) 4 : 5 (b) 5 : 6 (c) 5 : 4 (d) 20 : 25
11. 11.Are 3, 21, 4 and 28 in proportion? (a) Yes (b) No
12. 12.If 6 bus tickets cost ₹30, how many rupees do 2 bus tickets cost?
13. 13.4 : 7 = ? : 70
14. 14.If 6 pens cost ₹42, how many rupees do 3 pens cost?
15. 15.If 2 notebooks cost ₹26, how many rupees do 8 notebooks cost?
16. 16.₹1560 is shared between Lakshmi and Kabir in the ratio 6 : 7. How many rupees does Lakshmi get?
17. 17.Are 30, 42, 20 and 28 in proportion? (a) No (b) Yes
18. 18.₹1540 is shared between Saanvi and Ananya in the ratio 4 : 7. How many rupees does Ananya get?
19. 19.Write the ratio 12 : 18 in its simplest form. (a) 12 : 18 (b) 2 : 3 (c) 3 : 2 (d) 3 : 4
20. 20.If 9 bus tickets cost ₹234, how many rupees do 2 bus tickets cost?
21. 21.Are 12, 27, 32 and 72 in proportion? (a) Yes (b) No
22. 22.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
23. 23.A box has 12 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 12 : 9 (c) 5 : 4 (d) 3 : 4
24. 24.A class has 21 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 4 : 3 (d) 21 : 14
25. 25.Write the ratio 24 : 27 in its simplest form. (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 24 : 27
26. 26.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
27. 27.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
28. 28.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
29. 29.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 7 hours?
30. 30.1 : 8 = ? : 80
31. 31.3 : 7 = ? : 21
32. 32.A team has 36 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 36 : 28 (b) 9 : 7 (c) 7 : 9 (d) 10 : 8
33. 33.7 : 9 = ? : 72
34. 34.If 8 chocolates cost ₹168, how many rupees do 9 chocolates cost?
35. 35.₹540 is shared between Farhan and Aditya in the ratio 1 : 2. How many rupees does Farhan get?
36. 36.If 5 pens cost ₹15, how many rupees do 4 pens cost?
37. 37.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
38. 38.If 8 mangoes cost ₹208, how many rupees do 4 mangoes cost?
39. 39.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
40. 40.Are 4, 6, 14 and 23 in proportion? (a) No (b) Yes

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