Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 115 · 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. 1.1 : 5 = 2 : ?
2. 2.₹540 is shared between Sneha and Diya in the ratio 2 : 7. How many rupees does Sneha get?
3. 3.If 9 mangoes cost ₹27, how many rupees do 3 mangoes cost?
4. 4.3 : 8 = ? : 64
5. 5.Write the ratio 10 : 5 in its simplest form. (a) 10 : 5 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
6. 6.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 3 hours?
8. 8.A basket has 6 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 6 : 18 (c) 3 : 1 (d) 2 : 4
9. 9.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 24 : 6 in its simplest form. (a) 24 : 6 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1
11. 11.A basket has 36 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 9 (b) 8 : 9 (c) 9 : 8 (d) 36 : 32
12. 12.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
13. 13.Are 2, 14, 6 and 45 in proportion? (a) No (b) Yes
14. 14.If 8 bus tickets cost ₹472, how many rupees do 3 bus tickets cost?
15. 15.1 : 5 = ? : 50
16. 16.A basket has 24 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 8 (b) 8 : 3 (c) 24 : 9 (d) 9 : 4
17. 17.2 : 7 = 12 : ?
18. 18.₹100 is shared between Sneha and Aarav in the ratio 2 : 3. How many rupees does Sneha get?
19. 19.Write the ratio 16 : 56 in its simplest form. (a) 3 : 8 (b) 2 : 7 (c) 16 : 56 (d) 7 : 2
20. 20.3 : 7 = ? : 49
21. 21.₹1430 is shared between Arjun and Rohan in the ratio 2 : 9. How many rupees does Arjun get?
22. 22.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.₹1980 is shared between Diya and Ananya in the ratio 3 : 8. How many rupees does Ananya get?
24. 24.Write the ratio 6 : 24 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 2 : 5 (d) 6 : 24
25. 25.Are 15, 27, 40 and 74 in proportion? (a) No (b) Yes
26. 26.8 : 9 = 48 : ?
27. 27.Are 35, 45, 42 and 56 in proportion? (a) Yes (b) No
28. 28.A library shelf has 3 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 8 (b) 3 : 24 (c) 2 : 9 (d) 8 : 1
29. 29.Write the ratio 4 : 32 in its simplest form. (a) 2 : 9 (b) 8 : 1 (c) 4 : 32 (d) 1 : 8
30. 30.A box has 8 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 3 : 8 (c) 8 : 28 (d) 7 : 2
31. 31.4 : 7 = ? : 63
32. 32.If 5 mangoes cost ₹185, how many rupees do 10 mangoes cost?
33. 33.Are 10, 14, 15 and 22 in proportion? (a) No (b) Yes
34. 34.1 : 5 = 4 : ?
35. 35.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
36. 36.If 9 ice creams cost ₹495, how many rupees do 10 ice creams cost?
37. 37.1 : 7 = ? : 35
38. 38.Write the ratio 30 : 54 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 30 : 54
39. 39.Write the ratio 15 : 18 in its simplest form. (a) 5 : 6 (b) 15 : 18 (c) 6 : 5 (d) 6 : 7
40. 40.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?

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