Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 236 · 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.Are 5, 25, 3 and 15 in proportion? (a) Yes (b) No
2. 2.7 : 8 = ? : 24
3. 3.If 2 mangoes cost ₹92, how many rupees do 3 mangoes cost?
4. 4.1 : 6 = ? : 36
5. 5.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
6. 6.Write the ratio 35 : 63 in its simplest form. (a) 9 : 5 (b) 35 : 63 (c) 5 : 9 (d) 6 : 10
7. 7.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 2 hours?
8. 8.A box has 8 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 16 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3
9. 9.If 9 chocolates cost ₹198, how many rupees do 11 chocolates cost?
10. 10.If 8 ice creams cost ₹440, how many rupees do 4 ice creams cost?
11. 11.If 8 pens cost ₹288, how many rupees do 9 pens cost?
12. 12.If 2 mangoes cost ₹56, how many rupees do 7 mangoes cost?
13. 13.3 : 5 = ? : 30
14. 14.Write the ratio 35 : 7 in its simplest form. (a) 35 : 7 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
15. 15.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
16. 16.Are 5, 45, 9 and 83 in proportion? (a) Yes (b) No
17. 17.A team has 24 batters and 64 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 9 (b) 24 : 64 (c) 3 : 8 (d) 8 : 3
18. 18.Write the ratio 49 : 28 in its simplest form. (a) 49 : 28 (b) 7 : 4 (c) 8 : 5 (d) 4 : 7
19. 19.1 : 8 = ? : 32
20. 20.4 : 5 = ? : 35
21. 21.Write the ratio 54 : 42 in its simplest form. (a) 10 : 8 (b) 7 : 9 (c) 9 : 7 (d) 54 : 42
22. 22.Write the ratio 2 : 6 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 2 : 4 (d) 2 : 6
23. 23.Are 3, 9, 2 and 8 in proportion? (a) Yes (b) No
24. 24.If 7 bus tickets cost ₹294, how many rupees do 3 bus tickets cost?
25. 25.₹150 is shared between Gurpreet and Priya in the ratio 1 : 2. How many rupees does Priya get?
26. 26.A class has 30 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 30 : 6 (d) 6 : 2
27. 27.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 8 hours?
28. 28.If 4 chocolates cost ₹96, how many rupees do 3 chocolates cost?
29. 29.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
30. 30.If 6 pens cost ₹54, how many rupees do 2 pens cost?
31. 31.Are 30, 36, 45 and 57 in proportion? (a) No (b) Yes
32. 32.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 5 hours?
33. 33.₹1350 is shared between Aarav and Saanvi in the ratio 1 : 8. How many rupees does Aarav get?
34. 34.Are 6, 12, 4 and 9 in proportion? (a) No (b) Yes
35. 35.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 5 hours?
36. 36.Write the ratio 56 : 64 in its simplest form. (a) 8 : 9 (b) 56 : 64 (c) 7 : 8 (d) 8 : 7
37. 37.A garden has 56 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 56 : 24 (c) 3 : 7 (d) 8 : 4
38. 38.Are 6, 12, 4 and 8 in proportion? (a) No (b) Yes
39. 39.Are 6, 30, 4 and 22 in proportion? (a) No (b) Yes
40. 40.Are 18, 30, 12 and 20 in proportion? (a) No (b) Yes

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