Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 374 · 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 4 : 6 in its simplest form. (a) 2 : 3 (b) 4 : 6 (c) 3 : 2 (d) 3 : 4
2. 2.Write the ratio 64 : 8 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 9 : 2 (d) 64 : 8
3. 3.Write the ratio 18 : 24 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 18 : 24
4. 4.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
5. 5.1 : 6 = ? : 24
6. 6.Write the ratio 8 : 2 in its simplest form. (a) 4 : 1 (b) 8 : 2 (c) 5 : 2 (d) 1 : 4
7. 7.A team has 27 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 27 : 18
8. 8.If 2 notebooks cost ₹56, how many rupees do 5 notebooks cost?
9. 9.If 3 notebooks cost ₹27, how many rupees do 10 notebooks cost?
10. 10.Are 10, 15, 8 and 12 in proportion? (a) No (b) Yes
11. 11.A basket has 12 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 5 : 10 (c) 12 : 27 (d) 9 : 4
12. 12.Are 18, 24, 6 and 8 in proportion? (a) Yes (b) No
13. 13.5 : 8 = ? : 56
14. 14.1 : 9 = 8 : ?
15. 15.Write the ratio 2 : 16 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 2 : 16
16. 16.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 6 hours?
17. 17.Are 15, 40, 24 and 66 in proportion? (a) No (b) Yes
18. 18.5 : 9 = ? : 63
19. 19.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
20. 20.₹480 is shared between Arjun and Meera in the ratio 1 : 3. How many rupees does Meera get?
21. 21.Write the ratio 15 : 12 in its simplest form. (a) 6 : 5 (b) 15 : 12 (c) 4 : 5 (d) 5 : 4
22. 22.Write the ratio 5 : 35 in its simplest form. (a) 5 : 35 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
23. 23.₹400 is shared between Riya and Priya in the ratio 1 : 9. How many rupees does Priya get?
24. 24.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 6 hours?
25. 25.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
26. 26.2 : 9 = ? : 36
27. 27.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
28. 28.If 3 bus tickets cost ₹108, how many rupees do 7 bus tickets cost?
29. 29.Are 25, 30, 45 and 56 in proportion? (a) Yes (b) No
30. 30.Write the ratio 8 : 28 in its simplest form. (a) 3 : 8 (b) 8 : 28 (c) 7 : 2 (d) 2 : 7
31. 31.If 9 ice creams cost ₹396, how many rupees do 3 ice creams cost?
32. 32.If 7 bus tickets cost ₹350, how many rupees do 6 bus tickets cost?
33. 33.Write the ratio 16 : 56 in its simplest form. (a) 3 : 8 (b) 16 : 56 (c) 7 : 2 (d) 2 : 7
34. 34.A basket has 12 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 7 : 8 (c) 12 : 14 (d) 7 : 6
35. 35.If 3 pens cost ₹45, how many rupees do 2 pens cost?
36. 36.Write the ratio 3 : 21 in its simplest form. (a) 3 : 21 (b) 1 : 7 (c) 7 : 1 (d) 2 : 8
37. 37.If 5 pens cost ₹65, how many rupees do 9 pens cost?
38. 38.A basket has 16 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 2 (b) 8 : 1 (c) 16 : 2 (d) 1 : 8
39. 39.Write the ratio 9 : 12 in its simplest form. (a) 4 : 3 (b) 9 : 12 (c) 3 : 4 (d) 4 : 5
40. 40.If 2 pens cost ₹24, how many rupees do 11 pens cost?

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