Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 193 · 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.Write the ratio 20 : 8 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 20 : 8 (d) 5 : 2
2. 2.Write the ratio 12 : 10 in its simplest form. (a) 5 : 6 (b) 7 : 6 (c) 12 : 10 (d) 6 : 5
3. 3.A garden has 12 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 12 : 32 (b) 3 : 8 (c) 8 : 3 (d) 4 : 9
4. 4.Write the ratio 32 : 20 in its simplest form. (a) 8 : 5 (b) 5 : 8 (c) 32 : 20 (d) 9 : 6
5. 5.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
6. 6.If 9 mangoes cost ₹441, how many rupees do 12 mangoes cost?
7. 7.A class has 45 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 45 : 81
8. 8.1 : 5 = ? : 40
9. 9.Are 30, 35, 24 and 28 in proportion? (a) Yes (b) No
10. 10.4 : 9 = ? : 81
11. 11.1 : 7 = 10 : ?
12. 12.1 : 3 = ? : 12
13. 13.Are 8, 28, 6 and 21 in proportion? (a) Yes (b) No
14. 14.Write the ratio 64 : 72 in its simplest form. (a) 9 : 8 (b) 64 : 72 (c) 9 : 10 (d) 8 : 9
15. 15.A garden has 8 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 1 : 9 (d) 8 : 72
16. 16.If 9 pens cost ₹450, how many rupees do 12 pens cost?
17. 17.If 2 ice creams cost ₹88, how many rupees do 9 ice creams cost?
18. 18.Are 18, 21, 48 and 57 in proportion? (a) No (b) Yes
19. 19.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
20. 20.Write the ratio 21 : 18 in its simplest form. (a) 6 : 7 (b) 7 : 6 (c) 21 : 18 (d) 8 : 7
21. 21.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
22. 22.Write the ratio 18 : 45 in its simplest form. (a) 3 : 6 (b) 5 : 2 (c) 2 : 5 (d) 18 : 45
23. 23.1 : 2 = 3 : ?
24. 24.5 : 9 = ? : 81
25. 25.Write the ratio 32 : 56 in its simplest form. (a) 5 : 8 (b) 4 : 7 (c) 32 : 56 (d) 7 : 4
26. 26.If 8 bus tickets cost ₹472, how many rupees do 12 bus tickets cost?
27. 27.1 : 2 = ? : 20
28. 28.Are 3, 15, 8 and 41 in proportion? (a) Yes (b) No
29. 29.₹1430 is shared between Manav and Aditya in the ratio 3 : 8. How many rupees does Aditya get?
30. 30.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
31. 31.If 7 mangoes cost ₹175, how many rupees do 10 mangoes cost?
32. 32.₹440 is shared between Manav and Karan in the ratio 3 : 8. How many rupees does Karan get?
33. 33.Are 6, 10, 12 and 20 in proportion? (a) No (b) Yes
34. 34.Are 6, 16, 15 and 43 in proportion? (a) No (b) Yes
35. 35.Write the ratio 25 : 40 in its simplest form. (a) 25 : 40 (b) 8 : 5 (c) 6 : 9 (d) 5 : 8
36. 36.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
37. 37.1 : 5 = 8 : ?
38. 38.A garden has 36 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 4 (b) 36 : 16 (c) 4 : 9 (d) 10 : 5
39. 39.If 7 notebooks cost ₹42, how many rupees do 11 notebooks cost?
40. 40.A team has 8 batters and 64 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 64 (b) 2 : 9 (c) 8 : 1 (d) 1 : 8

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