Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 252 · 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 30 : 12 in its simplest form. (a) 6 : 3 (b) 5 : 2 (c) 30 : 12 (d) 2 : 5
2. 2.1 : 8 = ? : 56
3. 3.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 2 hours?
4. 4.If 3 notebooks cost ₹42, how many rupees do 4 notebooks cost?
5. 5.₹3060 is shared between Meera and Sneha in the ratio 8 : 9. How many rupees does Sneha get?
6. 6.3 : 7 = ? : 56
7. 7.A team has 18 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 30 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
8. 8.₹1190 is shared between Isha and Rohan in the ratio 1 : 6. How many rupees does Rohan get?
9. 9.₹180 is shared between Gurpreet and Sneha in the ratio 1 : 2. How many rupees does Gurpreet get?
10. 10.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 5 hours?
11. 11.If 9 notebooks cost ₹234, how many rupees do 5 notebooks cost?
12. 12.₹800 is shared between Gurpreet and Rohan in the ratio 1 : 3. How many rupees does Rohan get?
13. 13.7 : 8 = ? : 56
14. 14.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 14 : 63 (c) 2 : 9 (d) 3 : 10
15. 15.Are 3, 12, 2 and 11 in proportion? (a) No (b) Yes
16. 16.₹1520 is shared between Ananya and Gurpreet in the ratio 3 : 5. How many rupees does Gurpreet get?
17. 17.A garden has 35 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 35 : 45 (c) 7 : 9 (d) 9 : 7
18. 18.Write the ratio 35 : 30 in its simplest form. (a) 7 : 6 (b) 6 : 7 (c) 8 : 7 (d) 35 : 30
19. 19.₹1540 is shared between Vivaan and Pooja in the ratio 5 : 9. How many rupees does Vivaan get?
20. 20.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 1 hour?
21. 21.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
22. 22.A team has 48 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 48 : 8
23. 23.A garden has 72 rose plants and 64 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 9 (b) 10 : 9 (c) 72 : 64 (d) 9 : 8
24. 24.Write the ratio 12 : 8 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 12 : 8 (d) 4 : 3
25. 25.A team has 28 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 28 : 63
26. 26.Write the ratio 2 : 10 in its simplest form. (a) 2 : 10 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
27. 27.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 8 hours?
28. 28.Write the ratio 12 : 21 in its simplest form. (a) 7 : 4 (b) 12 : 21 (c) 4 : 7 (d) 5 : 8
29. 29.A class has 18 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 18 : 21
30. 30.If 4 mangoes cost ₹76, how many rupees do 12 mangoes cost?
31. 31.1 : 6 = 2 : ?
32. 32.If 3 pens cost ₹63, how many rupees do 2 pens cost?
33. 33.If 8 bus tickets cost ₹408, how many rupees do 9 bus tickets cost?
34. 34.Are 8, 20, 16 and 40 in proportion? (a) Yes (b) No
35. 35.6 : 7 = ? : 56
36. 36.If 5 bus tickets cost ₹95, how many rupees do 12 bus tickets cost?
37. 37.Are 25, 35, 35 and 49 in proportion? (a) Yes (b) No
38. 38.If 3 mangoes cost ₹105, how many rupees do 2 mangoes cost?
39. 39.Are 16, 20, 12 and 15 in proportion? (a) Yes (b) No
40. 40.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?

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