Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 323 · 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.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 7 hours?
2. 2.A class has 28 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 28 : 36 (d) 8 : 10
3. 3.Write the ratio 5 : 15 in its simplest form. (a) 3 : 1 (b) 5 : 15 (c) 1 : 3 (d) 2 : 4
4. 4.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
5. 5.3 : 4 = ? : 12
6. 6.Write the ratio 6 : 14 in its simplest form. (a) 6 : 14 (b) 3 : 7 (c) 4 : 8 (d) 7 : 3
7. 7.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 4 : 10 (c) 5 : 2 (d) 3 : 6
8. 8.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 4 : 3 (c) 3 : 4 (d) 4 : 5
9. 9.1 : 6 = 8 : ?
10. 10.A garden has 40 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 40 : 45 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
11. 11.₹180 is shared between Sneha and Aditya in the ratio 1 : 5. How many rupees does Aditya get?
12. 12.Write the ratio 14 : 2 in its simplest form. (a) 14 : 2 (b) 1 : 7 (c) 7 : 1 (d) 8 : 2
13. 13.Are 12, 20, 21 and 36 in proportion? (a) No (b) Yes
14. 14.1 : 6 = ? : 60
15. 15.If 3 pens cost ₹72, how many rupees do 12 pens cost?
16. 16.1 : 2 = 8 : ?
17. 17.1 : 5 = ? : 35
18. 18.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 3 : 6
19. 19.Write the ratio 63 : 36 in its simplest form. (a) 63 : 36 (b) 8 : 5 (c) 4 : 7 (d) 7 : 4
20. 20.₹1050 is shared between Rahul and Ananya in the ratio 1 : 6. How many rupees does Ananya get?
21. 21.Write the ratio 12 : 4 in its simplest form. (a) 12 : 4 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
22. 22.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.4 : 7 = ? : 63
24. 24.Write the ratio 64 : 8 in its simplest form. (a) 8 : 1 (b) 64 : 8 (c) 9 : 2 (d) 1 : 8
25. 25.Write the ratio 14 : 12 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 14 : 12 (d) 7 : 6
26. 26.Write the ratio 16 : 36 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 16 : 36 (d) 5 : 10
27. 27.₹600 is shared between Zoya and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
28. 28.A team has 9 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 9 : 54 (c) 2 : 7 (d) 6 : 1
29. 29.A basket has 20 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 20 : 32 (d) 8 : 5
30. 30.2 : 7 = 4 : ?
31. 31.Write the ratio 25 : 30 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 25 : 30
32. 32.A class has 5 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 5 : 45 (d) 1 : 9
33. 33.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
34. 34.If 8 mangoes cost ₹256, how many rupees do 10 mangoes cost?
35. 35.1 : 9 = ? : 27
36. 36.₹900 is shared between Pooja and Riya in the ratio 7 : 8. How many rupees does Pooja get?
37. 37.₹640 is shared between Vivaan and Diya in the ratio 1 : 7. How many rupees does Diya get?
38. 38.Write the ratio 45 : 25 in its simplest form. (a) 10 : 6 (b) 5 : 9 (c) 45 : 25 (d) 9 : 5
39. 39.Write the ratio 3 : 12 in its simplest form. (a) 4 : 1 (b) 3 : 12 (c) 1 : 4 (d) 2 : 5
40. 40.A library shelf has 15 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 15 : 25 (b) 5 : 3 (c) 3 : 5 (d) 4 : 6

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