Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 72 · 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, 24, 40 and 65 in proportion? (a) No (b) Yes
2. 2.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 8 hours?
3. 3.If 6 bus tickets cost ₹204, how many rupees do 7 bus tickets cost?
4. 4.If 3 ice creams cost ₹162, how many rupees do 2 ice creams cost?
5. 5.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
6. 6.Write the ratio 30 : 18 in its simplest form. (a) 6 : 4 (b) 3 : 5 (c) 5 : 3 (d) 30 : 18
7. 7.Are 12, 16, 6 and 11 in proportion? (a) Yes (b) No
8. 8.If 3 bus tickets cost ₹177, how many rupees do 4 bus tickets cost?
9. 9.Are 10, 15, 14 and 21 in proportion? (a) Yes (b) No
10. 10.Are 6, 8, 18 and 24 in proportion? (a) No (b) Yes
11. 11.If 2 chocolates cost ₹30, how many rupees do 10 chocolates cost?
12. 12.₹1710 is shared between Diya and Dev in the ratio 1 : 8. How many rupees does Diya get?
13. 13.A garden has 3 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 5 (b) 2 : 6 (c) 3 : 15 (d) 5 : 1
14. 14.Are 12, 27, 20 and 47 in proportion? (a) No (b) Yes
15. 15.Are 18, 42, 9 and 22 in proportion? (a) Yes (b) No
16. 16.If 3 chocolates cost ₹93, how many rupees do 9 chocolates cost?
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.₹980 is shared between Aarav and Tara in the ratio 2 : 5. How many rupees does Tara get?
19. 19.₹560 is shared between Priya and Zoya in the ratio 3 : 4. How many rupees does Priya get?
20. 20.Are 12, 54, 8 and 38 in proportion? (a) No (b) Yes
21. 21.₹280 is shared between Kabir and Lakshmi in the ratio 1 : 6. How many rupees does Lakshmi get?
22. 22.₹1210 is shared between Gurpreet and Isha in the ratio 5 : 6. How many rupees does Isha get?
23. 23.1 : 7 = 2 : ?
24. 24.2 : 9 = ? : 27
25. 25.₹1440 is shared between Farhan and Vivaan in the ratio 1 : 8. How many rupees does Farhan get?
26. 26.₹1050 is shared between Isha and Dev in the ratio 7 : 8. How many rupees does Dev get?
27. 27.A garden has 81 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 2 (b) 2 : 9 (c) 81 : 18 (d) 10 : 3
28. 28.Are 4, 20, 7 and 35 in proportion? (a) No (b) Yes
29. 29.2 : 9 = ? : 18
30. 30.Write the ratio 5 : 30 in its simplest form. (a) 5 : 30 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
31. 31.A class has 28 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 28 : 32 (c) 8 : 9 (d) 7 : 8
32. 32.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 6 hours?
33. 33.Are 15, 20, 24 and 33 in proportion? (a) No (b) Yes
34. 34.1 : 2 = 3 : ?
35. 35.A team has 36 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 7 : 6 (d) 36 : 30
36. 36.2 : 3 = 16 : ?
37. 37.5 : 6 = ? : 36
38. 38.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
39. 39.₹1040 is shared between Priya and Gurpreet in the ratio 1 : 7. How many rupees does Priya get?
40. 40.If 6 bus tickets cost ₹270, how many rupees do 2 bus tickets cost?

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