Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 322 · 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 4 bus tickets cost ₹204, how many rupees do 9 bus tickets cost?
2. 2.If 3 chocolates cost ₹75, how many rupees do 2 chocolates cost?
3. 3.If 4 pens cost ₹188, how many rupees do 12 pens cost?
4. 4.A basket has 8 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 8 : 40
5. 5.If 2 pens cost ₹56, how many rupees do 3 pens cost?
6. 6.Are 12, 54, 8 and 38 in proportion? (a) No (b) Yes
7. 7.Write the ratio 24 : 15 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 9 : 6 (d) 24 : 15
8. 8.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 4 hours?
9. 9.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 6 hours?
10. 10.Write the ratio 2 : 8 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 2 : 8
11. 11.A class has 6 boys and 54 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 6 : 54 (d) 2 : 10
12. 12.₹840 is shared between Isha and Aditya in the ratio 1 : 6. How many rupees does Aditya get?
13. 13.3 : 5 = ? : 25
14. 14.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
15. 15.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
16. 16.Write the ratio 28 : 7 in its simplest form. (a) 1 : 4 (b) 28 : 7 (c) 5 : 2 (d) 4 : 1
17. 17.A box has 5 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 5 : 30
18. 18.Are 3, 9, 5 and 17 in proportion? (a) No (b) Yes
19. 19.If 4 pens cost ₹68, how many rupees do 2 pens cost?
20. 20.Are 35, 45, 63 and 83 in proportion? (a) Yes (b) No
21. 21.A box has 6 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 1 (b) 6 : 30 (c) 1 : 5 (d) 2 : 6
22. 22.If 5 chocolates cost ₹120, how many rupees do 2 chocolates cost?
23. 23.Write the ratio 24 : 32 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 24 : 32 (d) 4 : 5
24. 24.Write the ratio 15 : 25 in its simplest form. (a) 5 : 3 (b) 15 : 25 (c) 3 : 5 (d) 4 : 6
25. 25.₹1210 is shared between Diya and Rohan in the ratio 5 : 6. How many rupees does Diya get?
26. 26.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
27. 27.A box has 2 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 10 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
28. 28.A garden has 28 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 1 : 7 (d) 28 : 4
29. 29.Are 6, 9, 14 and 21 in proportion? (a) Yes (b) No
30. 30.Are 6, 27, 10 and 46 in proportion? (a) Yes (b) No
31. 31.Write the ratio 36 : 9 in its simplest form. (a) 5 : 2 (b) 4 : 1 (c) 36 : 9 (d) 1 : 4
32. 32.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
33. 33.If 9 ice creams cost ₹306, how many rupees do 7 ice creams cost?
34. 34.Are 3, 27, 9 and 81 in proportion? (a) No (b) Yes
35. 35.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 3 hours?
36. 36.If 6 notebooks cost ₹174, how many rupees do 2 notebooks cost?
37. 37.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 7 : 49 (c) 1 : 7 (d) 2 : 8
38. 38.Are 18, 30, 27 and 46 in proportion? (a) Yes (b) No
39. 39.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
40. 40.5 : 8 = ? : 72

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