Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 180 · 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 2 bus tickets cost ₹104, how many rupees do 9 bus tickets cost?
2. 2.Are 10, 16, 25 and 43 in proportion? (a) No (b) Yes
3. 3.A library shelf has 25 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 10 (b) 25 : 45 (c) 5 : 9 (d) 9 : 5
4. 4.5 : 6 = ? : 24
5. 5.Are 3, 18, 4 and 25 in proportion? (a) Yes (b) No
6. 6.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.Are 25, 35, 15 and 24 in proportion? (a) Yes (b) No
8. 8.2 : 5 = 12 : ?
9. 9.₹1100 is shared between Aarav and Ishaan in the ratio 2 : 9. How many rupees does Aarav get?
10. 10.Write the ratio 35 : 7 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 35 : 7
11. 11.If 8 ice creams cost ₹104, how many rupees do 3 ice creams cost?
12. 12.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
13. 13.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
14. 14.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
15. 15.₹110 is shared between Meera and Farhan in the ratio 4 : 7. How many rupees does Farhan get?
16. 16.₹1120 is shared between Karan and Ananya in the ratio 3 : 4. How many rupees does Karan get?
17. 17.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
18. 18.Are 20, 25, 24 and 31 in proportion? (a) No (b) Yes
19. 19.A team has 24 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 5 : 6 (c) 24 : 30 (d) 4 : 5
20. 20.If 4 ice creams cost ₹12, how many rupees do 2 ice creams cost?
21. 21.Are 12, 15, 36 and 45 in proportion? (a) Yes (b) No
22. 22.₹780 is shared between Riya and Lakshmi in the ratio 6 : 7. How many rupees does Lakshmi get?
23. 23.Are 4, 28, 2 and 16 in proportion? (a) Yes (b) No
24. 24.A team has 8 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 2 : 7 (d) 8 : 48
25. 25.4 : 5 = 20 : ?
26. 26.A team has 4 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 4 : 10
27. 27.A basket has 10 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 10 : 2 (c) 6 : 2 (d) 5 : 1
28. 28.Write the ratio 12 : 27 in its simplest form. (a) 4 : 9 (b) 12 : 27 (c) 5 : 10 (d) 9 : 4
29. 29.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 2 hours?
30. 30.₹210 is shared between Pooja and Tara in the ratio 2 : 5. How many rupees does Pooja get?
31. 31.Write the ratio 6 : 48 in its simplest form. (a) 1 : 8 (b) 6 : 48 (c) 8 : 1 (d) 2 : 9
32. 32.Are 4, 32, 8 and 65 in proportion? (a) Yes (b) No
33. 33.5 : 6 = ? : 18
34. 34.3 : 7 = 30 : ?
35. 35.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 6 hours?
36. 36.Are 21, 24, 14 and 18 in proportion? (a) Yes (b) No
37. 37.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
38. 38.If 5 notebooks cost ₹40, how many rupees do 3 notebooks cost?
39. 39.1 : 4 = ? : 16
40. 40.Write the ratio 35 : 45 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 35 : 45 (d) 7 : 9

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