Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 169 · 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.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
2. 2.5 : 7 = ? : 63
3. 3.₹400 is shared between Rohan and Pooja in the ratio 1 : 7. How many rupees does Rohan get?
4. 4.If 6 bus tickets cost ₹324, how many rupees do 4 bus tickets cost?
5. 5.If 2 ice creams cost ₹46, how many rupees do 5 ice creams cost?
6. 6.5 : 6 = ? : 12
7. 7.₹350 is shared between Nisha and Priya in the ratio 2 : 5. How many rupees does Priya get?
8. 8.Write the ratio 20 : 4 in its simplest form. (a) 20 : 4 (b) 6 : 2 (c) 5 : 1 (d) 1 : 5
9. 9.Write the ratio 9 : 81 in its simplest form. (a) 2 : 10 (b) 1 : 9 (c) 9 : 81 (d) 9 : 1
10. 10.If 8 ice creams cost ₹456, how many rupees do 6 ice creams cost?
11. 11.1 : 4 = ? : 24
12. 12.A team has 20 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 20 : 24 (c) 6 : 5 (d) 5 : 6
13. 13.Write the ratio 72 : 64 in its simplest form. (a) 9 : 8 (b) 72 : 64 (c) 10 : 9 (d) 8 : 9
14. 14.3 : 7 = ? : 42
15. 15.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
16. 16.If 2 chocolates cost ₹70, how many rupees do 11 chocolates cost?
17. 17.Are 6, 14, 9 and 23 in proportion? (a) No (b) Yes
18. 18.Are 5, 30, 7 and 45 in proportion? (a) No (b) Yes
19. 19.₹2470 is shared between Saanvi and Arjun in the ratio 4 : 9. How many rupees does Arjun get?
20. 20.₹880 is shared between Kabir and Riya in the ratio 2 : 9. How many rupees does Riya get?
21. 21.Write the ratio 16 : 40 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 16 : 40
22. 22.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
23. 23.Write the ratio 21 : 18 in its simplest form. (a) 21 : 18 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
24. 24.Are 14, 16, 42 and 49 in proportion? (a) Yes (b) No
25. 25.A box has 18 red pens and 2 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 9 (b) 18 : 2 (c) 10 : 2 (d) 9 : 1
26. 26.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 7 hours?
27. 27.Are 6, 12, 2 and 5 in proportion? (a) Yes (b) No
28. 28.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
29. 29.A basket has 8 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 2 (b) 1 : 4 (c) 4 : 1 (d) 5 : 2
30. 30.Write the ratio 5 : 10 in its simplest form. (a) 5 : 10 (b) 1 : 2 (c) 2 : 3 (d) 2 : 1
31. 31.1 : 2 = ? : 14
32. 32.2 : 3 = ? : 15
33. 33.Write the ratio 32 : 20 in its simplest form. (a) 9 : 6 (b) 5 : 8 (c) 8 : 5 (d) 32 : 20
34. 34.₹1950 is shared between Aditya and Arjun in the ratio 4 : 9. How many rupees does Aditya get?
35. 35.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
36. 36.Write the ratio 27 : 72 in its simplest form. (a) 8 : 3 (b) 4 : 9 (c) 3 : 8 (d) 27 : 72
37. 37.Write the ratio 6 : 3 in its simplest form. (a) 6 : 3 (b) 2 : 1 (c) 1 : 2 (d) 3 : 2
38. 38.4 : 5 = 20 : ?
39. 39.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 1 : 2 (d) 3 : 6
40. 40.₹1210 is shared between Kavya and Meera in the ratio 5 : 6. How many rupees does Meera get?

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