Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 121 · 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 team has 32 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 32 : 20 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
2. 2.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
3. 3.If 7 chocolates cost ₹182, how many rupees do 9 chocolates cost?
4. 4.Write the ratio 72 : 8 in its simplest form. (a) 72 : 8 (b) 10 : 2 (c) 9 : 1 (d) 1 : 9
5. 5.4 : 5 = 28 : ?
6. 6.Write the ratio 18 : 27 in its simplest form. (a) 3 : 2 (b) 18 : 27 (c) 2 : 3 (d) 3 : 4
7. 7.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
8. 8.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
9. 9.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
10. 10.Are 12, 30, 6 and 15 in proportion? (a) No (b) Yes
11. 11.A class has 56 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 1 : 8 (c) 8 : 1 (d) 56 : 7
12. 12.If 5 pens cost ₹105, how many rupees do 12 pens cost?
13. 13.Are 10, 25, 4 and 12 in proportion? (a) No (b) Yes
14. 14.2 : 7 = ? : 42
15. 15.₹1280 is shared between Aditya and Meera in the ratio 3 : 5. How many rupees does Aditya get?
16. 16.₹1210 is shared between Vivaan and Pooja in the ratio 2 : 9. How many rupees does Pooja get?
17. 17.Are 20, 25, 8 and 10 in proportion? (a) No (b) Yes
18. 18.Are 12, 28, 18 and 44 in proportion? (a) No (b) Yes
19. 19.Write the ratio 49 : 63 in its simplest form. (a) 49 : 63 (b) 8 : 10 (c) 7 : 9 (d) 9 : 7
20. 20.Write the ratio 30 : 54 in its simplest form. (a) 30 : 54 (b) 9 : 5 (c) 5 : 9 (d) 6 : 10
21. 21.If 4 pens cost ₹240, how many rupees do 6 pens cost?
22. 22.A library shelf has 15 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 8 (b) 3 : 7 (c) 7 : 3 (d) 15 : 35
23. 23.Are 10, 15, 14 and 21 in proportion? (a) Yes (b) No
24. 24.₹1650 is shared between Arjun and Lakshmi in the ratio 3 : 8. How many rupees does Lakshmi get?
25. 25.1 : 8 = ? : 72
26. 26.Are 25, 40, 20 and 35 in proportion? (a) No (b) Yes
27. 27.A garden has 8 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 4 : 1 (c) 1 : 4 (d) 8 : 32
28. 28.6 : 7 = 24 : ?
29. 29.A library shelf has 72 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 72 : 63 (d) 7 : 8
30. 30.Write the ratio 36 : 28 in its simplest form. (a) 10 : 8 (b) 36 : 28 (c) 7 : 9 (d) 9 : 7
31. 31.Are 2, 6, 4 and 15 in proportion? (a) Yes (b) No
32. 32.A bus goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
33. 33.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
34. 34.Write the ratio 72 : 45 in its simplest form. (a) 8 : 5 (b) 72 : 45 (c) 9 : 6 (d) 5 : 8
35. 35.Are 30, 54, 35 and 63 in proportion? (a) No (b) Yes
36. 36.1 : 3 = 3 : ?
37. 37.₹1760 is shared between Isha and Kabir in the ratio 3 : 8. How many rupees does Kabir get?
38. 38.1 : 2 = ? : 12
39. 39.Write the ratio 6 : 16 in its simplest form. (a) 6 : 16 (b) 4 : 9 (c) 3 : 8 (d) 8 : 3
40. 40.3 : 4 = 6 : ?

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