Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 183 · 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 40, 45, 56 and 66 in proportion? (a) No (b) Yes
2. 2.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 7 hours?
3. 3.A class has 18 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 18 : 21
4. 4.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 7 hours?
5. 5.₹1020 is shared between Arjun and Joseph in the ratio 8 : 9. How many rupees does Joseph get?
6. 6.Write the ratio 24 : 15 in its simplest form. (a) 24 : 15 (b) 5 : 8 (c) 9 : 6 (d) 8 : 5
7. 7.Are 6, 15, 8 and 20 in proportion? (a) Yes (b) No
8. 8.A team has 72 batters and 81 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 72 : 81 (c) 8 : 9 (d) 9 : 10
9. 9.₹450 is shared between Nisha and Rahul in the ratio 1 : 2. How many rupees does Nisha get?
10. 10.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
11. 11.4 : 7 = ? : 56
12. 12.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
13. 13.3 : 4 = ? : 20
14. 14.If 9 mangoes cost ₹405, how many rupees do 10 mangoes cost?
15. 15.If 3 bus tickets cost ₹84, how many rupees do 9 bus tickets cost?
16. 16.Are 2, 18, 8 and 72 in proportion? (a) Yes (b) No
17. 17.Write the ratio 42 : 35 in its simplest form. (a) 42 : 35 (b) 6 : 5 (c) 7 : 6 (d) 5 : 6
18. 18.A team has 16 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 3 : 4 (c) 16 : 12 (d) 4 : 3
19. 19.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 1 hour?
20. 20.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 5 hours?
21. 21.₹140 is shared between Karan and Gurpreet in the ratio 5 : 9. How many rupees does Gurpreet get?
22. 22.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
23. 23.Are 20, 24, 45 and 54 in proportion? (a) Yes (b) No
24. 24.₹400 is shared between Rahul and Pooja in the ratio 1 : 9. How many rupees does Pooja get?
25. 25.5 : 8 = 10 : ?
26. 26.3 : 7 = ? : 42
27. 27.A garden has 9 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 9 : 21 (c) 4 : 8 (d) 7 : 3
28. 28.₹1120 is shared between Zoya and Rahul in the ratio 7 : 9. How many rupees does Zoya get?
29. 29.A basket has 72 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 72 : 9
30. 30.If 6 bus tickets cost ₹294, how many rupees do 2 bus tickets cost?
31. 31.A basket has 48 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 48 : 42 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
32. 32.1 : 3 = 10 : ?
33. 33.₹1360 is shared between Nisha and Kabir in the ratio 8 : 9. How many rupees does Kabir get?
34. 34.1 : 3 = ? : 30
35. 35.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 7 hours?
36. 36.Write the ratio 27 : 12 in its simplest form. (a) 27 : 12 (b) 9 : 4 (c) 10 : 5 (d) 4 : 9
37. 37.4 : 7 = 16 : ?
38. 38.Are 10, 35, 14 and 52 in proportion? (a) No (b) Yes
39. 39.Are 14, 16, 35 and 40 in proportion? (a) Yes (b) No
40. 40.Are 3, 6, 5 and 10 in proportion? (a) No (b) Yes

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