Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 124 · 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 48 : 54 in its simplest form. (a) 9 : 8 (b) 8 : 9 (c) 48 : 54 (d) 9 : 10
2. 2.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
3. 3.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 2 hours?
4. 4.Write the ratio 16 : 36 in its simplest form. (a) 4 : 9 (b) 16 : 36 (c) 5 : 10 (d) 9 : 4
5. 5.₹2080 is shared between Kabir and Ananya in the ratio 6 : 7. How many rupees does Kabir get?
6. 6.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 6 hours?
7. 7.A library shelf has 12 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 3 (b) 12 : 8 (c) 3 : 2 (d) 2 : 3
8. 8.7 : 9 = 28 : ?
9. 9.Are 6, 30, 3 and 15 in proportion? (a) No (b) Yes
10. 10.2 : 3 = ? : 6
11. 11.5 : 6 = ? : 36
12. 12.Are 40, 45, 56 and 63 in proportion? (a) No (b) Yes
13. 13.₹1710 is shared between Meera and Aarav in the ratio 2 : 7. How many rupees does Aarav get?
14. 14.Are 6, 16, 18 and 50 in proportion? (a) No (b) Yes
15. 15.Write the ratio 40 : 24 in its simplest form. (a) 40 : 24 (b) 5 : 3 (c) 3 : 5 (d) 6 : 4
16. 16.4 : 9 = 32 : ?
17. 17.A basket has 15 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 15 : 18 (b) 6 : 7 (c) 6 : 5 (d) 5 : 6
18. 18.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 2 hours?
19. 19.₹630 is shared between Farhan and Gurpreet in the ratio 4 : 5. How many rupees does Farhan get?
20. 20.Are 14, 16, 21 and 24 in proportion? (a) Yes (b) No
21. 21.1 : 8 = 5 : ?
22. 22.8 : 9 = ? : 45
23. 23.A class has 32 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 7 : 8 (c) 32 : 28 (d) 8 : 7
24. 24.₹980 is shared between Joseph and Aditya in the ratio 5 : 9. How many rupees does Aditya get?
25. 25.Are 12, 42, 4 and 14 in proportion? (a) Yes (b) No
26. 26.5 : 8 = ? : 24
27. 27.A class has 18 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 9 (b) 9 : 8 (c) 18 : 16 (d) 10 : 9
28. 28.Write the ratio 20 : 28 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 6 : 8 (d) 20 : 28
29. 29.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
30. 30.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
31. 31.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 3 hours?
32. 32.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 3 hours?
33. 33.Are 12, 32, 18 and 51 in proportion? (a) Yes (b) No
34. 34.A train goes 275 km in 5 hours. At the same speed, how many km does it go in 6 hours?
35. 35.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
36. 36.Are 4, 14, 18 and 63 in proportion? (a) No (b) Yes
37. 37.If 5 pens cost ₹65, how many rupees do 6 pens cost?
38. 38.A team has 4 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 14 (b) 3 : 8 (c) 2 : 7 (d) 7 : 2
39. 39.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 1 hour?
40. 40.If 7 chocolates cost ₹343, how many rupees do 11 chocolates cost?

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