Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 22 · 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 ₹24, how many rupees do 5 pens cost?
2. 2.₹240 is shared between Ananya and Dev in the ratio 1 : 3. How many rupees does Ananya get?
3. 3.If 5 pens cost ₹300, how many rupees do 2 pens cost?
4. 4.Write the ratio 18 : 9 in its simplest form. (a) 1 : 2 (b) 18 : 9 (c) 2 : 1 (d) 3 : 2
5. 5.Write the ratio 12 : 30 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 12 : 30 (d) 5 : 2
6. 6.A box has 18 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 24 (b) 4 : 3 (c) 3 : 4 (d) 4 : 5
7. 7.A team has 9 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 9 : 54 (c) 2 : 7 (d) 1 : 6
8. 8.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 6 hours?
9. 9.If 8 bus tickets cost ₹216, how many rupees do 9 bus tickets cost?
10. 10.Write the ratio 12 : 27 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 12 : 27 (d) 5 : 10
11. 11.Write the ratio 20 : 8 in its simplest form. (a) 20 : 8 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
12. 12.5 : 9 = ? : 27
13. 13.A basket has 63 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 63 : 81 (d) 8 : 10
14. 14.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
15. 15.2 : 9 = ? : 45
16. 16.₹2400 is shared between Dev and Priya in the ratio 5 : 7. How many rupees does Priya get?
17. 17.Are 14, 16, 42 and 48 in proportion? (a) Yes (b) No
18. 18.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 1 hour?
19. 19.Are 36, 42, 24 and 28 in proportion? (a) Yes (b) No
20. 20.Write the ratio 16 : 2 in its simplest form. (a) 9 : 2 (b) 16 : 2 (c) 1 : 8 (d) 8 : 1
21. 21.If 7 bus tickets cost ₹175, how many rupees do 12 bus tickets cost?
22. 22.Are 16, 18, 32 and 36 in proportion? (a) Yes (b) No
23. 23.₹140 is shared between Aditya and Riya in the ratio 5 : 9. How many rupees does Aditya get?
24. 24.₹840 is shared between Riya and Ishaan in the ratio 2 : 5. How many rupees does Riya get?
25. 25.Write the ratio 56 : 40 in its simplest form. (a) 56 : 40 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
26. 26.Write the ratio 8 : 48 in its simplest form. (a) 8 : 48 (b) 1 : 6 (c) 2 : 7 (d) 6 : 1
27. 27.A bus goes 300 km in 6 hours. At the same speed, how many km does it go in 8 hours?
28. 28.Write the ratio 24 : 21 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 24 : 21
29. 29.A class has 54 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 10 : 2 (c) 1 : 9 (d) 54 : 6
30. 30.Write the ratio 10 : 6 in its simplest form. (a) 10 : 6 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
31. 31.If 3 pens cost ₹69, how many rupees do 11 pens cost?
32. 32.A basket has 72 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 2 (b) 72 : 16 (c) 2 : 9 (d) 10 : 3
33. 33.Are 3, 15, 9 and 45 in proportion? (a) Yes (b) No
34. 34.2 : 3 = 18 : ?
35. 35.Write the ratio 21 : 12 in its simplest form. (a) 4 : 7 (b) 8 : 5 (c) 7 : 4 (d) 21 : 12
36. 36.1 : 3 = ? : 9
37. 37.A scooter goes 360 km in 6 hours. At the same speed, how many km does it go in 3 hours?
38. 38.₹440 is shared between Manav and Lakshmi in the ratio 2 : 9. How many rupees does Lakshmi get?
39. 39.₹680 is shared between Dev and Diya in the ratio 8 : 9. How many rupees does Dev get?
40. 40.Are 3, 12, 7 and 28 in proportion? (a) Yes (b) No

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets