Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 344 · 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. 1.2 : 3 = 6 : ?
2. 2.₹480 is shared between Sneha and Isha in the ratio 1 : 2. How many rupees does Sneha get?
3. 3.If 8 notebooks cost ₹144, how many rupees do 4 notebooks cost?
4. 4.A class has 20 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 8 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
5. 5.2 : 3 = 14 : ?
6. 6.₹300 is shared between Arjun and Riya in the ratio 2 : 3. How many rupees does Arjun get?
7. 7.Write the ratio 48 : 30 in its simplest form. (a) 48 : 30 (b) 9 : 6 (c) 8 : 5 (d) 5 : 8
8. 8.Are 24, 30, 8 and 10 in proportion? (a) No (b) Yes
9. 9.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 8 hours?
10. 10.Write the ratio 9 : 45 in its simplest form. (a) 5 : 1 (b) 2 : 6 (c) 1 : 5 (d) 9 : 45
11. 11.If 5 chocolates cost ₹190, how many rupees do 8 chocolates cost?
12. 12.If 3 pens cost ₹174, how many rupees do 10 pens cost?
13. 13.Are 24, 28, 48 and 57 in proportion? (a) No (b) Yes
14. 14.A team has 24 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 3 (b) 3 : 7 (c) 24 : 56 (d) 4 : 8
15. 15.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 7 hours?
16. 16.5 : 7 = 25 : ?
17. 17.A box has 20 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 5 (b) 20 : 36 (c) 5 : 9 (d) 6 : 10
18. 18.₹2160 is shared between Vivaan and Priya in the ratio 5 : 7. How many rupees does Vivaan get?
19. 19.A team has 42 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 42 : 54 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
20. 20.A team has 30 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 5 (b) 6 : 2 (c) 30 : 6 (d) 5 : 1
21. 21.₹120 is shared between Rohan and Isha in the ratio 1 : 5. How many rupees does Rohan get?
22. 22.Are 20, 25, 36 and 46 in proportion? (a) No (b) Yes
23. 23.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
24. 24.1 : 5 = ? : 50
25. 25.If 9 notebooks cost ₹387, how many rupees do 3 notebooks cost?
26. 26.4 : 5 = 36 : ?
27. 27.Are 15, 35, 21 and 49 in proportion? (a) No (b) Yes
28. 28.Write the ratio 18 : 12 in its simplest form. (a) 18 : 12 (b) 4 : 3 (c) 2 : 3 (d) 3 : 2
29. 29.If 7 pens cost ₹406, how many rupees do 5 pens cost?
30. 30.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
31. 31.₹100 is shared between Sneha and Priya in the ratio 1 : 4. How many rupees does Sneha get?
32. 32.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
33. 33.₹2210 is shared between Vivaan and Riya in the ratio 5 : 8. How many rupees does Riya get?
34. 34.3 : 7 = 15 : ?
35. 35.If 3 notebooks cost ₹57, how many rupees do 12 notebooks cost?
36. 36.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
37. 37.Are 15, 20, 12 and 16 in proportion? (a) No (b) Yes
38. 38.₹1430 is shared between Isha and Lakshmi in the ratio 5 : 6. How many rupees does Isha get?
39. 39.Are 3, 15, 7 and 35 in proportion? (a) Yes (b) No
40. 40.3 : 4 = ? : 40

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