Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 277 · 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 box has 40 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 40 : 72 (d) 5 : 9
2. 2.Write the ratio 35 : 28 in its simplest form. (a) 35 : 28 (b) 4 : 5 (c) 5 : 4 (d) 6 : 5
3. 3.2 : 3 = ? : 12
4. 4.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 1 hour?
5. 5.A library shelf has 45 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 45 : 18 (d) 6 : 3
6. 6.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
7. 7.If 4 bus tickets cost ₹232, how many rupees do 10 bus tickets cost?
8. 8.If 2 notebooks cost ₹70, how many rupees do 7 notebooks cost?
9. 9.If 6 chocolates cost ₹96, how many rupees do 9 chocolates cost?
10. 10.₹660 is shared between Isha and Ananya in the ratio 1 : 5. How many rupees does Ananya get?
11. 11.Write the ratio 10 : 25 in its simplest form. (a) 10 : 25 (b) 5 : 2 (c) 3 : 6 (d) 2 : 5
12. 12.A garden has 18 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 2 (b) 18 : 6 (c) 1 : 3 (d) 3 : 1
13. 13.₹80 is shared between Riya and Zoya in the ratio 1 : 3. How many rupees does Riya get?
14. 14.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
15. 15.1 : 3 = ? : 6
16. 16.Are 30, 48, 45 and 72 in proportion? (a) Yes (b) No
17. 17.1 : 5 = 7 : ?
18. 18.Write the ratio 25 : 30 in its simplest form. (a) 6 : 7 (b) 25 : 30 (c) 5 : 6 (d) 6 : 5
19. 19.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
20. 20.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
21. 21.Are 2, 14, 8 and 59 in proportion? (a) No (b) Yes
22. 22.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.If 3 bus tickets cost ₹138, how many rupees do 2 bus tickets cost?
24. 24.5 : 9 = ? : 90
25. 25.A garden has 35 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 35 : 21 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
26. 26.Write the ratio 6 : 30 in its simplest form. (a) 6 : 30 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
27. 27.₹160 is shared between Saanvi and Aditya in the ratio 7 : 9. How many rupees does Saanvi get?
28. 28.Write the ratio 27 : 21 in its simplest form. (a) 9 : 7 (b) 27 : 21 (c) 10 : 8 (d) 7 : 9
29. 29.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
30. 30.Are 10, 15, 8 and 12 in proportion? (a) Yes (b) No
31. 31.Are 4, 36, 5 and 46 in proportion? (a) Yes (b) No
32. 32.Write the ratio 20 : 45 in its simplest form. (a) 9 : 4 (b) 5 : 10 (c) 20 : 45 (d) 4 : 9
33. 33.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
34. 34.Are 3, 21, 5 and 35 in proportion? (a) Yes (b) No
35. 35.Are 5, 35, 7 and 49 in proportion? (a) No (b) Yes
36. 36.If 4 chocolates cost ₹100, how many rupees do 12 chocolates cost?
37. 37.Are 30, 35, 48 and 56 in proportion? (a) Yes (b) No
38. 38.Are 6, 12, 8 and 17 in proportion? (a) Yes (b) No
39. 39.Write the ratio 21 : 15 in its simplest form. (a) 21 : 15 (b) 7 : 5 (c) 5 : 7 (d) 8 : 6
40. 40.₹480 is shared between Joseph and Arjun in the ratio 1 : 2. How many rupees does Joseph get?

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