Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 117 · 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. 1.5 : 6 = 20 : ?
2. 2.₹1760 is shared between Ananya and Isha in the ratio 2 : 9. How many rupees does Ananya get?
3. 3.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 1 hour?
4. 4.Are 4, 18, 6 and 29 in proportion? (a) No (b) Yes
5. 5.Are 21, 27, 49 and 65 in proportion? (a) Yes (b) No
6. 6.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Write the ratio 30 : 36 in its simplest form. (a) 30 : 36 (b) 6 : 7 (c) 6 : 5 (d) 5 : 6
8. 8.Are 4, 10, 18 and 45 in proportion? (a) No (b) Yes
9. 9.Are 18, 48, 27 and 72 in proportion? (a) No (b) Yes
10. 10.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 7 hours?
11. 11.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
12. 12.₹300 is shared between Diya and Zoya in the ratio 7 : 8. How many rupees does Zoya get?
13. 13.5 : 9 = ? : 54
14. 14.A team has 5 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 5 : 30 (d) 2 : 7
15. 15.Are 6, 10, 18 and 33 in proportion? (a) Yes (b) No
16. 16.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
17. 17.Write the ratio 28 : 49 in its simplest form. (a) 4 : 7 (b) 28 : 49 (c) 5 : 8 (d) 7 : 4
18. 18.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
19. 19.₹450 is shared between Aarav and Aditya in the ratio 4 : 5. How many rupees does Aditya get?
20. 20.If 8 bus tickets cost ₹272, how many rupees do 12 bus tickets cost?
21. 21.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
22. 22.Write the ratio 16 : 72 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 3 : 10 (d) 16 : 72
23. 23.4 : 7 = 24 : ?
24. 24.₹1280 is shared between Kabir and Priya in the ratio 7 : 9. How many rupees does Kabir get?
25. 25.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
26. 26.Write the ratio 10 : 14 in its simplest form. (a) 10 : 14 (b) 7 : 5 (c) 5 : 7 (d) 6 : 8
27. 27.7 : 9 = ? : 18
28. 28.8 : 9 = ? : 54
29. 29.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
30. 30.If 3 notebooks cost ₹162, how many rupees do 5 notebooks cost?
31. 31.3 : 4 = 21 : ?
32. 32.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
33. 33.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
34. 34.Are 36, 42, 48 and 57 in proportion? (a) No (b) Yes
35. 35.If 9 chocolates cost ₹90, how many rupees do 2 chocolates cost?
36. 36.A team has 54 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 10 : 6 (d) 54 : 30
37. 37.7 : 8 = 70 : ?
38. 38.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 8 hours?
39. 39.Write the ratio 2 : 8 in its simplest form. (a) 1 : 4 (b) 2 : 8 (c) 4 : 1 (d) 2 : 5
40. 40.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 6 hours?

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