Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 309 · 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.₹270 is shared between Karan and Vivaan in the ratio 4 : 5. How many rupees does Vivaan get?
2. 2.₹2340 is shared between Vivaan and Joseph in the ratio 6 : 7. How many rupees does Vivaan get?
3. 3.A team has 24 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 24 : 40 (b) 4 : 6 (c) 3 : 5 (d) 5 : 3
4. 4.₹1360 is shared between Gurpreet and Sneha in the ratio 3 : 5. How many rupees does Gurpreet get?
5. 5.5 : 9 = ? : 81
6. 6.Are 15, 20, 12 and 16 in proportion? (a) No (b) Yes
7. 7.A basket has 18 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 18 : 10 (c) 10 : 6 (d) 9 : 5
8. 8.1 : 5 = ? : 30
9. 9.4 : 7 = ? : 56
10. 10.1 : 9 = ? : 27
11. 11.₹250 is shared between Meera and Karan in the ratio 1 : 4. How many rupees does Meera get?
12. 12.A box has 6 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 6 : 30 (d) 2 : 6
13. 13.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
14. 14.₹2880 is shared between Arjun and Karan in the ratio 7 : 9. How many rupees does Arjun get?
15. 15.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 2 hours?
16. 16.If 6 bus tickets cost ₹246, how many rupees do 9 bus tickets cost?
17. 17.₹1260 is shared between Rohan and Kabir in the ratio 3 : 4. How many rupees does Rohan get?
18. 18.Are 12, 30, 18 and 46 in proportion? (a) No (b) Yes
19. 19.Write the ratio 20 : 15 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 5 : 4 (d) 20 : 15
20. 20.A class has 32 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 32 : 36
21. 21.Write the ratio 5 : 25 in its simplest form. (a) 1 : 5 (b) 2 : 6 (c) 5 : 25 (d) 5 : 1
22. 22.If 3 mangoes cost ₹132, how many rupees do 2 mangoes cost?
23. 23.A basket has 10 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 45 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
24. 24.Are 12, 32, 6 and 18 in proportion? (a) No (b) Yes
25. 25.If 4 pens cost ₹104, how many rupees do 8 pens cost?
26. 26.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 8 hours?
27. 27.Write the ratio 20 : 28 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 20 : 28 (d) 6 : 8
28. 28.A box has 6 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 2 (b) 6 : 27 (c) 2 : 9 (d) 3 : 10
29. 29.Write the ratio 25 : 45 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 25 : 45 (d) 6 : 10
30. 30.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 8 hours?
31. 31.Are 18, 30, 6 and 10 in proportion? (a) No (b) Yes
32. 32.Are 2, 14, 8 and 58 in proportion? (a) No (b) Yes
33. 33.7 : 9 = ? : 63
34. 34.A team has 14 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 14 : 21
35. 35.A team has 25 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 2 (b) 25 : 10 (c) 6 : 3 (d) 2 : 5
36. 36.Are 3, 27, 6 and 56 in proportion? (a) No (b) Yes
37. 37.₹900 is shared between Tara and Manav in the ratio 2 : 3. How many rupees does Tara get?
38. 38.3 : 5 = ? : 20
39. 39.1 : 9 = ? : 72
40. 40.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 5 hours?

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