Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 114 · 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 4 pens cost ₹204, how many rupees do 9 pens cost?
2. 2.Are 5, 35, 2 and 15 in proportion? (a) Yes (b) No
3. 3.Are 35, 40, 28 and 33 in proportion? (a) Yes (b) No
4. 4.Write the ratio 3 : 12 in its simplest form. (a) 3 : 12 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
5. 5.A basket has 9 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 2 : 6 (d) 9 : 45
6. 6.Are 5, 30, 7 and 43 in proportion? (a) No (b) Yes
7. 7.1 : 5 = 7 : ?
8. 8.If 3 chocolates cost ₹123, how many rupees do 12 chocolates cost?
9. 9.₹850 is shared between Kabir and Joseph in the ratio 8 : 9. How many rupees does Kabir get?
10. 10.₹1200 is shared between Aditya and Meera in the ratio 1 : 7. How many rupees does Meera get?
11. 11.4 : 5 = 32 : ?
12. 12.Are 6, 14, 12 and 31 in proportion? (a) No (b) Yes
13. 13.4 : 7 = ? : 56
14. 14.Are 4, 32, 7 and 56 in proportion? (a) No (b) Yes
15. 15.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 7 hours?
16. 16.3 : 5 = ? : 35
17. 17.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
18. 18.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
19. 19.A team has 6 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 6 : 36
20. 20.5 : 6 = ? : 60
21. 21.Are 2, 18, 8 and 72 in proportion? (a) No (b) Yes
22. 22.₹2400 is shared between Meera and Farhan in the ratio 5 : 7. How many rupees does Farhan get?
23. 23.₹1200 is shared between Rohan and Ishaan in the ratio 1 : 5. How many rupees does Rohan get?
24. 24.Write the ratio 14 : 18 in its simplest form. (a) 8 : 10 (b) 14 : 18 (c) 7 : 9 (d) 9 : 7
25. 25.A garden has 32 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 32 : 20 (b) 9 : 6 (c) 8 : 5 (d) 5 : 8
26. 26.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 3 hours?
27. 27.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
28. 28.Are 24, 30, 16 and 23 in proportion? (a) Yes (b) No
29. 29.A box has 45 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 9 (b) 45 : 81 (c) 9 : 5 (d) 6 : 10
30. 30.4 : 7 = 16 : ?
31. 31.Are 12, 21, 8 and 17 in proportion? (a) Yes (b) No
32. 32.₹1320 is shared between Rohan and Dev in the ratio 4 : 7. How many rupees does Rohan get?
33. 33.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
34. 34.1 : 5 = ? : 45
35. 35.₹1350 is shared between Nisha and Gurpreet in the ratio 2 : 7. How many rupees does Gurpreet get?
36. 36.1 : 3 = ? : 6
37. 37.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
38. 38.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 1 hour?
39. 39.Write the ratio 54 : 63 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 54 : 63 (d) 7 : 6
40. 40.Are 30, 54, 15 and 30 in proportion? (a) Yes (b) No

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