Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 12 · 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 train goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
2. 2.1 : 6 = ? : 42
3. 3.Are 4, 8, 7 and 14 in proportion? (a) No (b) Yes
4. 4.7 : 9 = 70 : ?
5. 5.Are 40, 45, 64 and 75 in proportion? (a) No (b) Yes
6. 6.If 2 bus tickets cost ₹70, how many rupees do 4 bus tickets cost?
7. 7.Are 30, 42, 45 and 65 in proportion? (a) Yes (b) No
8. 8.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 4 hours?
9. 9.A team has 28 batters and 49 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 28 : 49
10. 10.If 2 chocolates cost ₹20, how many rupees do 12 chocolates cost?
11. 11.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
12. 12.3 : 4 = ? : 16
13. 13.₹770 is shared between Rohan and Zoya in the ratio 3 : 4. How many rupees does Zoya get?
14. 14.2 : 9 = 10 : ?
15. 15.1 : 2 = 2 : ?
16. 16.If 7 bus tickets cost ₹63, how many rupees do 9 bus tickets cost?
17. 17.Write the ratio 20 : 36 in its simplest form. (a) 9 : 5 (b) 20 : 36 (c) 5 : 9 (d) 6 : 10
18. 18.Are 8, 14, 16 and 29 in proportion? (a) Yes (b) No
19. 19.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 5 hours?
20. 20.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
21. 21.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 6 hours?
22. 22.Are 6, 36, 5 and 32 in proportion? (a) No (b) Yes
23. 23.4 : 9 = 28 : ?
24. 24.A class has 3 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 3 : 6
25. 25.Write the ratio 6 : 36 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 6 : 36
26. 26.₹700 is shared between Arjun and Rahul in the ratio 2 : 3. How many rupees does Arjun get?
27. 27.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
28. 28.Are 9, 15, 6 and 13 in proportion? (a) Yes (b) No
29. 29.Write the ratio 36 : 16 in its simplest form. (a) 36 : 16 (b) 10 : 5 (c) 4 : 9 (d) 9 : 4
30. 30.A basket has 32 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 32 : 28 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
31. 31.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
32. 32.A class has 20 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 5 : 10 (d) 20 : 45
33. 33.₹440 is shared between Aditya and Joseph in the ratio 1 : 3. How many rupees does Aditya get?
34. 34.Are 5, 35, 2 and 15 in proportion? (a) No (b) Yes
35. 35.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
36. 36.4 : 5 = 12 : ?
37. 37.Write the ratio 27 : 21 in its simplest form. (a) 27 : 21 (b) 7 : 9 (c) 9 : 7 (d) 10 : 8
38. 38.Are 32, 36, 64 and 72 in proportion? (a) Yes (b) No
39. 39.3 : 4 = 6 : ?
40. 40.If 8 notebooks cost ₹128, how many rupees do 10 notebooks cost?

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