Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 107 · 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 ₹108, how many rupees do 11 bus tickets cost?
2. 2.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
3. 3.A class has 6 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 6 : 27 (c) 3 : 10 (d) 2 : 9
4. 4.1 : 9 = ? : 72
5. 5.Write the ratio 40 : 8 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 40 : 8
6. 6.2 : 7 = 6 : ?
7. 7.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
8. 8.If 3 notebooks cost ₹66, how many rupees do 10 notebooks cost?
9. 9.₹100 is shared between Zoya and Dev in the ratio 3 : 7. How many rupees does Dev get?
10. 10.₹1560 is shared between Farhan and Zoya in the ratio 5 : 8. How many rupees does Zoya get?
11. 11.5 : 7 = 25 : ?
12. 12.If 4 notebooks cost ₹236, how many rupees do 11 notebooks cost?
13. 13.A basket has 6 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 7 (b) 6 : 36 (c) 1 : 6 (d) 6 : 1
14. 14.If 5 chocolates cost ₹110, how many rupees do 10 chocolates cost?
15. 15.Are 12, 28, 24 and 56 in proportion? (a) Yes (b) No
16. 16.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
17. 17.A box has 2 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 12 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
18. 18.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 8 hours?
19. 19.Are 15, 20, 6 and 8 in proportion? (a) Yes (b) No
20. 20.Write the ratio 36 : 63 in its simplest form. (a) 5 : 8 (b) 7 : 4 (c) 36 : 63 (d) 4 : 7
21. 21.A team has 64 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 64 : 56 (b) 8 : 7 (c) 7 : 8 (d) 9 : 8
22. 22.If 2 ice creams cost ₹30, how many rupees do 5 ice creams cost?
23. 23.Are 8, 12, 16 and 24 in proportion? (a) No (b) Yes
24. 24.4 : 5 = 32 : ?
25. 25.Write the ratio 24 : 6 in its simplest form. (a) 24 : 6 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1
26. 26.Write the ratio 56 : 48 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 6 : 7 (d) 56 : 48
27. 27.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
28. 28.Are 6, 12, 3 and 7 in proportion? (a) No (b) Yes
29. 29.Write the ratio 18 : 30 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 18 : 30
30. 30.₹300 is shared between Tara and Kavya in the ratio 1 : 2. How many rupees does Tara get?
31. 31.1 : 2 = ? : 10
32. 32.Write the ratio 63 : 28 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 63 : 28
33. 33.Are 4, 12, 3 and 11 in proportion? (a) No (b) Yes
34. 34.If 3 ice creams cost ₹15, how many rupees do 9 ice creams cost?
35. 35.Write the ratio 45 : 25 in its simplest form. (a) 45 : 25 (b) 9 : 5 (c) 5 : 9 (d) 10 : 6
36. 36.Write the ratio 28 : 36 in its simplest form. (a) 8 : 10 (b) 28 : 36 (c) 7 : 9 (d) 9 : 7
37. 37.If 2 mangoes cost ₹120, how many rupees do 6 mangoes cost?
38. 38.1 : 3 = ? : 6
39. 39.Write the ratio 27 : 36 in its simplest form. (a) 4 : 3 (b) 27 : 36 (c) 3 : 4 (d) 4 : 5
40. 40.If 2 ice creams cost ₹98, how many rupees do 11 ice creams cost?

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