Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 380 · 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 12, 18, 14 and 24 in proportion? (a) No (b) Yes
2. 2.If 5 notebooks cost ₹185, how many rupees do 6 notebooks cost?
3. 3.A garden has 21 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 8 (b) 7 : 3 (c) 3 : 7 (d) 21 : 49
4. 4.If 8 chocolates cost ₹56, how many rupees do 9 chocolates cost?
5. 5.A bus goes 250 km in 5 hours. At the same speed, how many km does it go in 8 hours?
6. 6.4 : 5 = ? : 35
7. 7.A library shelf has 25 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 25 : 40 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
8. 8.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 4 hours?
9. 9.2 : 9 = 20 : ?
10. 10.Write the ratio 27 : 63 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 27 : 63 (d) 4 : 8
11. 11.Write the ratio 49 : 35 in its simplest form. (a) 8 : 6 (b) 7 : 5 (c) 5 : 7 (d) 49 : 35
12. 12.If 9 pens cost ₹279, how many rupees do 2 pens cost?
13. 13.Are 12, 42, 16 and 58 in proportion? (a) Yes (b) No
14. 14.Write the ratio 21 : 18 in its simplest form. (a) 8 : 7 (b) 21 : 18 (c) 6 : 7 (d) 7 : 6
15. 15.A team has 10 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 6 : 5 (c) 5 : 4 (d) 10 : 8
16. 16.₹1950 is shared between Joseph and Arjun in the ratio 6 : 7. How many rupees does Joseph get?
17. 17.If 8 bus tickets cost ₹40, how many rupees do 6 bus tickets cost?
18. 18.7 : 8 = 21 : ?
19. 19.Are 10, 25, 8 and 20 in proportion? (a) Yes (b) No
20. 20.Are 10, 25, 4 and 10 in proportion? (a) Yes (b) No
21. 21.1 : 6 = 10 : ?
22. 22.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
23. 23.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 1 hour?
24. 24.Write the ratio 25 : 20 in its simplest form. (a) 5 : 4 (b) 25 : 20 (c) 4 : 5 (d) 6 : 5
25. 25.Are 30, 35, 42 and 51 in proportion? (a) Yes (b) No
26. 26.1 : 7 = ? : 56
27. 27.Write the ratio 16 : 72 in its simplest form. (a) 3 : 10 (b) 16 : 72 (c) 2 : 9 (d) 9 : 2
28. 28.A box has 6 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 6 : 16 (c) 3 : 8 (d) 4 : 9
29. 29.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
30. 30.Are 5, 10, 3 and 9 in proportion? (a) Yes (b) No
31. 31.If 3 bus tickets cost ₹9, how many rupees do 8 bus tickets cost?
32. 32.Are 18, 24, 27 and 36 in proportion? (a) Yes (b) No
33. 33.Are 12, 14, 24 and 28 in proportion? (a) No (b) Yes
34. 34.Write the ratio 45 : 20 in its simplest form. (a) 4 : 9 (b) 10 : 5 (c) 45 : 20 (d) 9 : 4
35. 35.4 : 9 = 28 : ?
36. 36.A library shelf has 16 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 1 : 2 (c) 16 : 8 (d) 2 : 1
37. 37.₹90 is shared between Arjun and Riya in the ratio 1 : 8. How many rupees does Arjun get?
38. 38.A garden has 18 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 3 (b) 18 : 30 (c) 4 : 6 (d) 3 : 5
39. 39.4 : 5 = ? : 30
40. 40.₹440 is shared between Kabir and Isha in the ratio 5 : 6. How many rupees does Kabir get?

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