Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 105 · 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.Are 15, 40, 24 and 66 in proportion? (a) No (b) Yes
2. 2.7 : 8 = ? : 24
3. 3.A library shelf has 36 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 36 : 42 (b) 7 : 6 (c) 7 : 8 (d) 6 : 7
4. 4.Write the ratio 45 : 20 in its simplest form. (a) 9 : 4 (b) 45 : 20 (c) 4 : 9 (d) 10 : 5
5. 5.Write the ratio 21 : 12 in its simplest form. (a) 21 : 12 (b) 7 : 4 (c) 8 : 5 (d) 4 : 7
6. 6.1 : 6 = 8 : ?
7. 7.₹350 is shared between Meera and Manav in the ratio 1 : 4. How many rupees does Manav get?
8. 8.If 6 pens cost ₹60, how many rupees do 9 pens cost?
9. 9.If 3 notebooks cost ₹12, how many rupees do 5 notebooks cost?
10. 10.If 2 mangoes cost ₹108, how many rupees do 5 mangoes cost?
11. 11.₹600 is shared between Rahul and Meera in the ratio 1 : 3. How many rupees does Meera get?
12. 12.₹2600 is shared between Gurpreet and Manav in the ratio 6 : 7. How many rupees does Manav get?
13. 13.Are 4, 6, 12 and 18 in proportion? (a) Yes (b) No
14. 14.Write the ratio 12 : 8 in its simplest form. (a) 12 : 8 (b) 3 : 2 (c) 4 : 3 (d) 2 : 3
15. 15.Are 12, 28, 9 and 21 in proportion? (a) No (b) Yes
16. 16.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 6 hours?
17. 17.Write the ratio 18 : 48 in its simplest form. (a) 3 : 8 (b) 8 : 3 (c) 4 : 9 (d) 18 : 48
18. 18.Are 4, 10, 10 and 28 in proportion? (a) No (b) Yes
19. 19.Are 3, 6, 2 and 4 in proportion? (a) No (b) Yes
20. 20.A train goes 420 km in 6 hours. At the same speed, how many km does it go in 7 hours?
21. 21.3 : 7 = 6 : ?
22. 22.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 1 hour?
23. 23.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 2 hours?
24. 24.1 : 4 = ? : 28
25. 25.Write the ratio 14 : 18 in its simplest form. (a) 9 : 7 (b) 14 : 18 (c) 7 : 9 (d) 8 : 10
26. 26.4 : 5 = ? : 40
27. 27.5 : 6 = ? : 12
28. 28.If 7 mangoes cost ₹252, how many rupees do 6 mangoes cost?
29. 29.1 : 8 = ? : 32
30. 30.A garden has 12 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 12 : 4 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
31. 31.If 8 pens cost ₹24, how many rupees do 2 pens cost?
32. 32.A team has 9 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 9 (b) 9 : 72 (c) 1 : 8 (d) 8 : 1
33. 33.Write the ratio 25 : 30 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 25 : 30 (d) 6 : 5
34. 34.₹630 is shared between Manav and Ishaan in the ratio 2 : 5. How many rupees does Ishaan get?
35. 35.Are 30, 42, 40 and 57 in proportion? (a) Yes (b) No
36. 36.Write the ratio 20 : 28 in its simplest form. (a) 6 : 8 (b) 7 : 5 (c) 20 : 28 (d) 5 : 7
37. 37.1 : 4 = 2 : ?
38. 38.2 : 9 = 10 : ?
39. 39.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 8 hours?
40. 40.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?

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