Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 371 · 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 63 : 45 in its simplest form. (a) 63 : 45 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
2. 2.2 : 5 = ? : 30
3. 3.₹1100 is shared between Farhan and Kabir in the ratio 5 : 6. How many rupees does Farhan get?
4. 4.4 : 5 = 8 : ?
5. 5.Write the ratio 4 : 12 in its simplest form. (a) 2 : 4 (b) 4 : 12 (c) 1 : 3 (d) 3 : 1
6. 6.Are 4, 8, 7 and 15 in proportion? (a) No (b) Yes
7. 7.If 3 notebooks cost ₹126, how many rupees do 4 notebooks cost?
8. 8.Write the ratio 54 : 6 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 54 : 6 (d) 9 : 1
9. 9.If 4 notebooks cost ₹96, how many rupees do 10 notebooks cost?
10. 10.5 : 8 = ? : 24
11. 11.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
12. 12.Write the ratio 10 : 35 in its simplest form. (a) 3 : 8 (b) 10 : 35 (c) 7 : 2 (d) 2 : 7
13. 13.1 : 7 = 4 : ?
14. 14.1 : 5 = ? : 35
15. 15.Are 3, 27, 6 and 54 in proportion? (a) No (b) Yes
16. 16.₹550 is shared between Rahul and Riya in the ratio 5 : 6. How many rupees does Rahul get?
17. 17.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 3 hours?
18. 18.A box has 15 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 15 : 24 (d) 8 : 5
19. 19.If 9 mangoes cost ₹90, how many rupees do 11 mangoes cost?
20. 20.If 8 mangoes cost ₹408, how many rupees do 7 mangoes cost?
21. 21.2 : 3 = ? : 15
22. 22.A box has 10 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 10 : 6
23. 23.1 : 4 = 6 : ?
24. 24.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 5 hours?
25. 25.4 : 7 = ? : 70
26. 26.₹70 is shared between Joseph and Dev in the ratio 2 : 5. How many rupees does Joseph get?
27. 27.Write the ratio 6 : 21 in its simplest form. (a) 2 : 7 (b) 6 : 21 (c) 3 : 8 (d) 7 : 2
28. 28.Write the ratio 15 : 3 in its simplest form. (a) 5 : 1 (b) 15 : 3 (c) 1 : 5 (d) 6 : 2
29. 29.If 5 mangoes cost ₹145, how many rupees do 8 mangoes cost?
30. 30.A team has 16 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 10 (b) 8 : 9 (c) 16 : 18 (d) 9 : 8
31. 31.1 : 2 = ? : 4
32. 32.Write the ratio 16 : 40 in its simplest form. (a) 3 : 6 (b) 5 : 2 (c) 2 : 5 (d) 16 : 40
33. 33.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 5 : 4 (c) 4 : 5 (d) 5 : 6
34. 34.If 5 pens cost ₹160, how many rupees do 7 pens cost?
35. 35.Write the ratio 15 : 21 in its simplest form. (a) 6 : 8 (b) 15 : 21 (c) 7 : 5 (d) 5 : 7
36. 36.5 : 9 = ? : 81
37. 37.₹800 is shared between Karan and Saanvi in the ratio 3 : 5. How many rupees does Karan get?
38. 38.Are 30, 36, 10 and 12 in proportion? (a) No (b) Yes
39. 39.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 6 hours?
40. 40.Write the ratio 21 : 35 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 21 : 35

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