Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 276 · 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.If 9 bus tickets cost ₹216, how many rupees do 4 bus tickets cost?
2. 2.₹480 is shared between Nisha and Kabir in the ratio 3 : 5. How many rupees does Nisha get?
3. 3.6 : 7 = ? : 42
4. 4.If 3 ice creams cost ₹126, how many rupees do 12 ice creams cost?
5. 5.Are 6, 42, 4 and 30 in proportion? (a) No (b) Yes
6. 6.Write the ratio 12 : 6 in its simplest form. (a) 3 : 2 (b) 2 : 1 (c) 12 : 6 (d) 1 : 2
7. 7.Write the ratio 81 : 9 in its simplest form. (a) 10 : 2 (b) 1 : 9 (c) 9 : 1 (d) 81 : 9
8. 8.1 : 9 = 9 : ?
9. 9.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
10. 10.A garden has 35 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 35 : 49 (b) 5 : 7 (c) 7 : 5 (d) 6 : 8
11. 11.Write the ratio 35 : 7 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 35 : 7
12. 12.If 9 bus tickets cost ₹441, how many rupees do 11 bus tickets cost?
13. 13.Write the ratio 4 : 36 in its simplest form. (a) 4 : 36 (b) 9 : 1 (c) 2 : 10 (d) 1 : 9
14. 14.A class has 21 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 21 : 14 (c) 3 : 2 (d) 4 : 3
15. 15.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
16. 16.If 8 bus tickets cost ₹216, how many rupees do 2 bus tickets cost?
17. 17.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 5 hours?
18. 18.If 2 bus tickets cost ₹50, how many rupees do 4 bus tickets cost?
19. 19.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 2 hours?
20. 20.₹3230 is shared between Aditya and Ananya in the ratio 8 : 9. How many rupees does Aditya get?
21. 21.Are 30, 35, 36 and 42 in proportion? (a) No (b) Yes
22. 22.₹130 is shared between Sneha and Aarav in the ratio 6 : 7. How many rupees does Sneha get?
23. 23.Are 3, 6, 9 and 21 in proportion? (a) No (b) Yes
24. 24.2 : 3 = 12 : ?
25. 25.Write the ratio 12 : 8 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 12 : 8 (d) 4 : 3
26. 26.Are 4, 14, 18 and 64 in proportion? (a) Yes (b) No
27. 27.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 7 : 49 (c) 1 : 7 (d) 2 : 8
28. 28.Write the ratio 12 : 4 in its simplest form. (a) 3 : 1 (b) 12 : 4 (c) 4 : 2 (d) 1 : 3
29. 29.If 2 notebooks cost ₹90, how many rupees do 8 notebooks cost?
30. 30.Are 15, 35, 9 and 22 in proportion? (a) No (b) Yes
31. 31.₹1080 is shared between Ishaan and Aditya in the ratio 1 : 5. How many rupees does Ishaan get?
32. 32.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
33. 33.A team has 20 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 20 : 5 (b) 5 : 2 (c) 1 : 4 (d) 4 : 1
34. 34.Are 20, 36, 45 and 81 in proportion? (a) Yes (b) No
35. 35.If 9 pens cost ₹486, how many rupees do 5 pens cost?
36. 36.Are 10, 35, 4 and 14 in proportion? (a) Yes (b) No
37. 37.A basket has 24 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 1 (b) 7 : 2 (c) 24 : 4 (d) 1 : 6
38. 38.A box has 72 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 9 (b) 9 : 8 (c) 8 : 9 (d) 72 : 64
39. 39.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
40. 40.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 5 hours?

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