Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 15 · 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. 1.1 : 7 = ? : 21
2. 2.₹40 is shared between Ananya and Farhan in the ratio 1 : 3. How many rupees does Ananya get?
3. 3.Write the ratio 49 : 14 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 49 : 14 (d) 8 : 3
4. 4.If 6 ice creams cost ₹60, how many rupees do 9 ice creams cost?
5. 5.Are 4, 20, 3 and 17 in proportion? (a) No (b) Yes
6. 6.7 : 8 = ? : 72
7. 7.Are 18, 42, 9 and 23 in proportion? (a) No (b) Yes
8. 8.A library shelf has 64 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 1 (b) 64 : 8 (c) 1 : 8 (d) 9 : 2
9. 9.3 : 5 = ? : 30
10. 10.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
11. 11.If 9 ice creams cost ₹315, how many rupees do 8 ice creams cost?
12. 12.A library shelf has 9 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 2 : 8 (d) 9 : 63
13. 13.3 : 7 = 6 : ?
14. 14.If 5 chocolates cost ₹275, how many rupees do 11 chocolates cost?
15. 15.₹40 is shared between Meera and Saanvi in the ratio 1 : 3. How many rupees does Saanvi get?
16. 16.₹2080 is shared between Dev and Gurpreet in the ratio 5 : 8. How many rupees does Dev get?
17. 17.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
18. 18.Write the ratio 32 : 28 in its simplest form. (a) 32 : 28 (b) 8 : 7 (c) 7 : 8 (d) 9 : 8
19. 19.Write the ratio 24 : 21 in its simplest form. (a) 7 : 8 (b) 9 : 8 (c) 8 : 7 (d) 24 : 21
20. 20.Write the ratio 16 : 20 in its simplest form. (a) 16 : 20 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
21. 21.Are 15, 40, 27 and 74 in proportion? (a) Yes (b) No
22. 22.A team has 18 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 18 : 24 (c) 3 : 4 (d) 4 : 5
23. 23.Are 6, 18, 7 and 21 in proportion? (a) Yes (b) No
24. 24.If 7 bus tickets cost ₹385, how many rupees do 4 bus tickets cost?
25. 25.₹600 is shared between Kavya and Sneha in the ratio 1 : 4. How many rupees does Sneha get?
26. 26.If 9 pens cost ₹144, how many rupees do 11 pens cost?
27. 27.A class has 14 boys and 49 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 3 : 8 (c) 7 : 2 (d) 14 : 49
28. 28.Are 15, 24, 10 and 17 in proportion? (a) No (b) Yes
29. 29.Are 4, 8, 5 and 13 in proportion? (a) No (b) Yes
30. 30.₹420 is shared between Zoya and Vivaan in the ratio 2 : 5. How many rupees does Vivaan get?
31. 31.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 12 : 14 (d) 6 : 7
32. 32.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
33. 33.5 : 9 = 35 : ?
34. 34.If 9 notebooks cost ₹360, how many rupees do 8 notebooks cost?
35. 35.₹420 is shared between Priya and Manav in the ratio 1 : 5. How many rupees does Priya get?
36. 36.5 : 8 = ? : 56
37. 37.If 8 notebooks cost ₹312, how many rupees do 9 notebooks cost?
38. 38.Are 9, 21, 15 and 37 in proportion? (a) Yes (b) No
39. 39.₹1330 is shared between Ananya and Sneha in the ratio 2 : 5. How many rupees does Sneha get?
40. 40.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?

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