Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 89 · 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.₹2600 is shared between Meera and Farhan in the ratio 4 : 9. How many rupees does Farhan get?
2. 2.Are 24, 54, 16 and 38 in proportion? (a) Yes (b) No
3. 3.1 : 7 = 2 : ?
4. 4.If 4 pens cost ₹20, how many rupees do 8 pens cost?
5. 5.Are 2, 4, 5 and 10 in proportion? (a) Yes (b) No
6. 6.Are 16, 18, 56 and 64 in proportion? (a) No (b) Yes
7. 7.Write the ratio 16 : 2 in its simplest form. (a) 1 : 8 (b) 16 : 2 (c) 9 : 2 (d) 8 : 1
8. 8.Are 4, 12, 2 and 7 in proportion? (a) Yes (b) No
9. 9.Are 18, 21, 12 and 14 in proportion? (a) No (b) Yes
10. 10.1 : 5 = 3 : ?
11. 11.If 4 chocolates cost ₹112, how many rupees do 3 chocolates cost?
12. 12.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
13. 13.Are 4, 16, 5 and 20 in proportion? (a) No (b) Yes
14. 14.A basket has 8 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 4 (b) 8 : 24 (c) 1 : 3 (d) 3 : 1
15. 15.3 : 4 = 18 : ?
16. 16.₹550 is shared between Farhan and Arjun in the ratio 3 : 8. How many rupees does Farhan get?
17. 17.₹2380 is shared between Diya and Kabir in the ratio 8 : 9. How many rupees does Kabir get?
18. 18.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
19. 19.A basket has 45 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 45 : 63 (b) 7 : 5 (c) 6 : 8 (d) 5 : 7
20. 20.1 : 4 = ? : 12
21. 21.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
22. 22.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
23. 23.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 4 hours?
24. 24.₹2200 is shared between Kabir and Isha in the ratio 4 : 7. How many rupees does Isha get?
25. 25.Write the ratio 27 : 45 in its simplest form. (a) 27 : 45 (b) 3 : 5 (c) 5 : 3 (d) 4 : 6
26. 26.If 6 pens cost ₹126, how many rupees do 3 pens cost?
27. 27.Are 6, 12, 4 and 11 in proportion? (a) Yes (b) No
28. 28.Write the ratio 27 : 15 in its simplest form. (a) 9 : 5 (b) 27 : 15 (c) 5 : 9 (d) 10 : 6
29. 29.A basket has 6 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 6 : 12
30. 30.₹210 is shared between Tara and Isha in the ratio 2 : 5. How many rupees does Isha get?
31. 31.Write the ratio 42 : 36 in its simplest form. (a) 42 : 36 (b) 7 : 6 (c) 6 : 7 (d) 8 : 7
32. 32.Write the ratio 10 : 12 in its simplest form. (a) 6 : 7 (b) 10 : 12 (c) 5 : 6 (d) 6 : 5
33. 33.Write the ratio 8 : 56 in its simplest form. (a) 2 : 8 (b) 8 : 56 (c) 1 : 7 (d) 7 : 1
34. 34.2 : 7 = ? : 70
35. 35.A team has 24 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 24 : 20 (c) 6 : 5 (d) 7 : 6
36. 36.4 : 5 = 16 : ?
37. 37.If 5 chocolates cost ₹35, how many rupees do 10 chocolates cost?
38. 38.Write the ratio 24 : 3 in its simplest form. (a) 8 : 1 (b) 24 : 3 (c) 1 : 8 (d) 9 : 2
39. 39.A class has 18 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 18 : 10 (d) 10 : 6
40. 40.Are 35, 40, 14 and 16 in proportion? (a) Yes (b) No

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