Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 71 · 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, 20 and 34 in proportion? (a) Yes (b) No
2. 2.Write the ratio 35 : 45 in its simplest form. (a) 7 : 9 (b) 8 : 10 (c) 9 : 7 (d) 35 : 45
3. 3.₹900 is shared between Zoya and Aditya in the ratio 3 : 7. How many rupees does Zoya get?
4. 4.Write the ratio 12 : 16 in its simplest form. (a) 12 : 16 (b) 4 : 5 (c) 3 : 4 (d) 4 : 3
5. 5.Write the ratio 21 : 24 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 21 : 24 (d) 8 : 9
6. 6.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Are 30, 54, 45 and 82 in proportion? (a) No (b) Yes
8. 8.2 : 3 = ? : 9
9. 9.A garden has 81 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 8 (b) 81 : 72 (c) 10 : 9 (d) 8 : 9
10. 10.Write the ratio 32 : 36 in its simplest form. (a) 9 : 8 (b) 8 : 9 (c) 9 : 10 (d) 32 : 36
11. 11.A team has 16 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 16 : 28 (b) 4 : 7 (c) 5 : 8 (d) 7 : 4
12. 12.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
13. 13.If 2 ice creams cost ₹80, how many rupees do 3 ice creams cost?
14. 14.Write the ratio 35 : 21 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 35 : 21 (d) 3 : 5
15. 15.Write the ratio 4 : 24 in its simplest form. (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 4 : 24
16. 16.If 4 chocolates cost ₹36, how many rupees do 9 chocolates cost?
17. 17.Write the ratio 30 : 18 in its simplest form. (a) 30 : 18 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
18. 18.A box has 20 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 4 (b) 20 : 15 (c) 5 : 4 (d) 4 : 3
19. 19.Write the ratio 54 : 9 in its simplest form. (a) 54 : 9 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
20. 20.Are 10, 25, 16 and 42 in proportion? (a) Yes (b) No
21. 21.If 4 bus tickets cost ₹44, how many rupees do 2 bus tickets cost?
22. 22.A scooter goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
23. 23.₹720 is shared between Zoya and Priya in the ratio 3 : 5. How many rupees does Zoya get?
24. 24.Write the ratio 16 : 10 in its simplest form. (a) 9 : 6 (b) 16 : 10 (c) 8 : 5 (d) 5 : 8
25. 25.1 : 6 = 5 : ?
26. 26.Write the ratio 9 : 3 in its simplest form. (a) 9 : 3 (b) 4 : 2 (c) 3 : 1 (d) 1 : 3
27. 27.A basket has 25 mangoes and 5 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 1 (b) 25 : 5 (c) 1 : 5 (d) 6 : 2
28. 28.₹600 is shared between Isha and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
29. 29.Write the ratio 21 : 49 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 21 : 49 (d) 4 : 8
30. 30.If 3 chocolates cost ₹63, how many rupees do 12 chocolates cost?
31. 31.8 : 9 = 40 : ?
32. 32.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
33. 33.If 7 pens cost ₹133, how many rupees do 5 pens cost?
34. 34.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 2 hours?
35. 35.2 : 5 = 16 : ?
36. 36.₹1690 is shared between Pooja and Sneha in the ratio 6 : 7. How many rupees does Pooja get?
37. 37.A garden has 16 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 16 : 24
38. 38.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 3 hours?
39. 39.2 : 3 = ? : 27
40. 40.Write the ratio 12 : 15 in its simplest form. (a) 12 : 15 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5

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