Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 224 · 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.Write the ratio 81 : 18 in its simplest form. (a) 10 : 3 (b) 9 : 2 (c) 2 : 9 (d) 81 : 18
2. 2.Write the ratio 20 : 35 in its simplest form. (a) 4 : 7 (b) 5 : 8 (c) 7 : 4 (d) 20 : 35
3. 3.If 8 bus tickets cost ₹280, how many rupees do 2 bus tickets cost?
4. 4.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
5. 5.A basket has 21 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 21 : 56 (c) 4 : 9 (d) 3 : 8
6. 6.Are 2, 4, 8 and 16 in proportion? (a) Yes (b) No
7. 7.If 8 chocolates cost ₹176, how many rupees do 12 chocolates cost?
8. 8.Are 14, 18, 21 and 27 in proportion? (a) Yes (b) No
9. 9.2 : 5 = 4 : ?
10. 10.Are 4, 18, 6 and 29 in proportion? (a) No (b) Yes
11. 11.Are 12, 54, 10 and 45 in proportion? (a) Yes (b) No
12. 12.If 3 mangoes cost ₹63, how many rupees do 10 mangoes cost?
13. 13.4 : 5 = ? : 10
14. 14.Are 8, 20, 18 and 47 in proportion? (a) No (b) Yes
15. 15.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
16. 16.₹1870 is shared between Rohan and Karan in the ratio 3 : 8. How many rupees does Karan get?
17. 17.Are 10, 15, 18 and 27 in proportion? (a) No (b) Yes
18. 18.Are 8, 36, 4 and 18 in proportion? (a) Yes (b) No
19. 19.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
20. 20.If 2 ice creams cost ₹24, how many rupees do 9 ice creams cost?
21. 21.A team has 20 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 20 : 32 (d) 6 : 9
22. 22.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.₹1600 is shared between Lakshmi and Priya in the ratio 7 : 9. How many rupees does Priya get?
24. 24.If 7 mangoes cost ₹49, how many rupees do 8 mangoes cost?
25. 25.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
26. 26.Are 2, 6, 5 and 17 in proportion? (a) Yes (b) No
27. 27.₹680 is shared between Ishaan and Kavya in the ratio 8 : 9. How many rupees does Ishaan get?
28. 28.₹1120 is shared between Riya and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
29. 29.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 3 hours?
30. 30.₹800 is shared between Tara and Rohan in the ratio 2 : 3. How many rupees does Rohan get?
31. 31.Write the ratio 40 : 24 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 40 : 24
32. 32.2 : 9 = 14 : ?
33. 33.₹2280 is shared between Meera and Joseph in the ratio 5 : 7. How many rupees does Meera get?
34. 34.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
35. 35.Are 24, 54, 20 and 47 in proportion? (a) Yes (b) No
36. 36.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 3 hours?
37. 37.If 5 chocolates cost ₹150, how many rupees do 8 chocolates cost?
38. 38.A box has 42 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 42 : 36 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
39. 39.Write the ratio 36 : 9 in its simplest form. (a) 4 : 1 (b) 36 : 9 (c) 1 : 4 (d) 5 : 2
40. 40.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 3 hours?

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