Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 279 · 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 bus goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
2. 2.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
3. 3.₹260 is shared between Isha and Rohan in the ratio 5 : 8. How many rupees does Rohan get?
4. 4.Write the ratio 18 : 9 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 3 : 2 (d) 18 : 9
5. 5.Are 9, 21, 12 and 30 in proportion? (a) No (b) Yes
6. 6.7 : 8 = 63 : ?
7. 7.If 2 bus tickets cost ₹8, how many rupees do 8 bus tickets cost?
8. 8.If 5 bus tickets cost ₹45, how many rupees do 2 bus tickets cost?
9. 9.A box has 24 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 40 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
10. 10.Write the ratio 42 : 36 in its simplest form. (a) 8 : 7 (b) 42 : 36 (c) 6 : 7 (d) 7 : 6
11. 11.3 : 5 = 6 : ?
12. 12.₹260 is shared between Rahul and Lakshmi in the ratio 4 : 9. How many rupees does Rahul get?
13. 13.5 : 7 = 30 : ?
14. 14.If 7 pens cost ₹133, how many rupees do 5 pens cost?
15. 15.Are 10, 25, 12 and 31 in proportion? (a) No (b) Yes
16. 16.Write the ratio 49 : 7 in its simplest form. (a) 1 : 7 (b) 49 : 7 (c) 7 : 1 (d) 8 : 2
17. 17.A box has 7 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 1 (b) 7 : 49 (c) 2 : 8 (d) 1 : 7
18. 18.If 2 pens cost ₹12, how many rupees do 10 pens cost?
19. 19.Write the ratio 10 : 45 in its simplest form. (a) 10 : 45 (b) 2 : 9 (c) 9 : 2 (d) 3 : 10
20. 20.Are 4, 16, 3 and 12 in proportion? (a) No (b) Yes
21. 21.Are 12, 32, 21 and 58 in proportion? (a) Yes (b) No
22. 22.5 : 7 = ? : 70
23. 23.₹800 is shared between Rahul and Ishaan in the ratio 1 : 9. How many rupees does Rahul get?
24. 24.Write the ratio 7 : 42 in its simplest form. (a) 7 : 42 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
25. 25.A basket has 28 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 8 : 7 (c) 28 : 32 (d) 7 : 8
26. 26.₹650 is shared between Rahul and Kabir in the ratio 2 : 3. How many rupees does Kabir get?
27. 27.2 : 3 = 8 : ?
28. 28.₹1140 is shared between Riya and Meera in the ratio 1 : 5. How many rupees does Meera get?
29. 29.If 7 mangoes cost ₹385, how many rupees do 6 mangoes cost?
30. 30.1 : 7 = ? : 56
31. 31.Write the ratio 14 : 63 in its simplest form. (a) 3 : 10 (b) 2 : 9 (c) 14 : 63 (d) 9 : 2
32. 32.Write the ratio 4 : 32 in its simplest form. (a) 4 : 32 (b) 8 : 1 (c) 1 : 8 (d) 2 : 9
33. 33.Write the ratio 35 : 40 in its simplest form. (a) 7 : 8 (b) 35 : 40 (c) 8 : 7 (d) 8 : 9
34. 34.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
35. 35.A team has 12 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 12 : 30 (d) 2 : 5
36. 36.₹640 is shared between Ananya and Sneha in the ratio 7 : 9. How many rupees does Ananya get?
37. 37.A class has 18 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 10 : 2 (c) 1 : 9 (d) 18 : 2
38. 38.A library shelf has 49 storybooks and 7 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 7 (b) 49 : 7 (c) 8 : 2 (d) 7 : 1
39. 39.1 : 6 = ? : 42
40. 40.₹1040 is shared between Diya and Dev in the ratio 5 : 8. How many rupees does Dev get?

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