Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 345 · 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.If 2 bus tickets cost ₹22, how many rupees do 9 bus tickets cost?
2. 2.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 1 hour?
3. 3.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
4. 4.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?
5. 5.1 : 6 = ? : 12
6. 6.5 : 9 = 30 : ?
7. 7.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 8 hours?
8. 8.If 7 pens cost ₹273, how many rupees do 9 pens cost?
9. 9.Are 42, 54, 14 and 19 in proportion? (a) No (b) Yes
10. 10.If 6 bus tickets cost ₹210, how many rupees do 8 bus tickets cost?
11. 11.If 7 chocolates cost ₹273, how many rupees do 4 chocolates cost?
12. 12.Are 6, 15, 14 and 36 in proportion? (a) No (b) Yes
13. 13.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
14. 14.Write the ratio 12 : 30 in its simplest form. (a) 5 : 2 (b) 12 : 30 (c) 2 : 5 (d) 3 : 6
15. 15.Are 3, 24, 7 and 56 in proportion? (a) No (b) Yes
16. 16.A team has 15 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 15 : 20 (c) 3 : 4 (d) 4 : 3
17. 17.Are 2, 14, 9 and 65 in proportion? (a) Yes (b) No
18. 18.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 7 hours?
19. 19.Are 10, 25, 14 and 37 in proportion? (a) Yes (b) No
20. 20.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
21. 21.Write the ratio 36 : 9 in its simplest form. (a) 1 : 4 (b) 36 : 9 (c) 5 : 2 (d) 4 : 1
22. 22.₹980 is shared between Riya and Aarav in the ratio 2 : 5. How many rupees does Riya get?
23. 23.₹2080 is shared between Sneha and Diya in the ratio 4 : 9. How many rupees does Diya get?
24. 24.₹1920 is shared between Nisha and Diya in the ratio 7 : 9. How many rupees does Diya get?
25. 25.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
26. 26.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 7 hours?
27. 27.If 4 pens cost ₹104, how many rupees do 5 pens cost?
28. 28.1 : 6 = 3 : ?
29. 29.1 : 2 = ? : 20
30. 30.Write the ratio 40 : 72 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 40 : 72 (d) 6 : 10
31. 31.3 : 7 = 15 : ?
32. 32.Are 12, 14, 30 and 36 in proportion? (a) Yes (b) No
33. 33.Are 2, 10, 8 and 42 in proportion? (a) Yes (b) No
34. 34.6 : 7 = 60 : ?
35. 35.₹90 is shared between Karan and Joseph in the ratio 4 : 5. How many rupees does Karan get?
36. 36.3 : 4 = 24 : ?
37. 37.A garden has 54 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 6 (b) 6 : 5 (c) 5 : 6 (d) 54 : 45
38. 38.₹1080 is shared between Riya and Isha in the ratio 1 : 5. How many rupees does Isha get?
39. 39.Are 6, 10, 27 and 46 in proportion? (a) No (b) Yes
40. 40.A basket has 30 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 8 (b) 30 : 42 (c) 5 : 7 (d) 7 : 5

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