Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 306 · 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.₹3200 is shared between Gurpreet and Ananya in the ratio 7 : 9. How many rupees does Ananya get?
2. 2.1 : 6 = ? : 60
3. 3.Are 9, 15, 21 and 36 in proportion? (a) Yes (b) No
4. 4.A class has 4 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 1 (b) 4 : 28 (c) 2 : 8 (d) 1 : 7
5. 5.If 4 bus tickets cost ₹168, how many rupees do 5 bus tickets cost?
6. 6.If 9 notebooks cost ₹414, how many rupees do 3 notebooks cost?
7. 7.Are 30, 36, 35 and 45 in proportion? (a) Yes (b) No
8. 8.A box has 15 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 15 : 6 (c) 5 : 2 (d) 6 : 3
9. 9.₹390 is shared between Ishaan and Priya in the ratio 5 : 8. How many rupees does Priya get?
10. 10.₹1200 is shared between Isha and Dev in the ratio 3 : 7. How many rupees does Isha get?
11. 11.If 4 pens cost ₹56, how many rupees do 5 pens cost?
12. 12.Are 15, 20, 9 and 12 in proportion? (a) No (b) Yes
13. 13.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?
14. 14.Are 20, 32, 30 and 49 in proportion? (a) Yes (b) No
15. 15.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
16. 16.A team has 12 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 1 (b) 4 : 2 (c) 12 : 4 (d) 1 : 3
17. 17.Write the ratio 21 : 7 in its simplest form. (a) 21 : 7 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
18. 18.₹1040 is shared between Karan and Lakshmi in the ratio 3 : 5. How many rupees does Lakshmi get?
19. 19.2 : 9 = ? : 27
20. 20.If 8 ice creams cost ₹88, how many rupees do 4 ice creams cost?
21. 21.A basket has 7 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 7 : 35 (c) 1 : 5 (d) 5 : 1
22. 22.Write the ratio 24 : 32 in its simplest form. (a) 4 : 5 (b) 24 : 32 (c) 4 : 3 (d) 3 : 4
23. 23.If 4 notebooks cost ₹92, how many rupees do 6 notebooks cost?
24. 24.4 : 5 = 24 : ?
25. 25.A team has 45 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 3 (b) 2 : 5 (c) 5 : 2 (d) 45 : 18
26. 26.If 8 notebooks cost ₹32, how many rupees do 9 notebooks cost?
27. 27.₹1800 is shared between Aditya and Joseph in the ratio 2 : 7. How many rupees does Aditya get?
28. 28.A box has 56 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 8 (b) 56 : 64 (c) 8 : 7 (d) 8 : 9
29. 29.5 : 7 = 10 : ?
30. 30.₹1200 is shared between Lakshmi and Aditya in the ratio 1 : 7. How many rupees does Lakshmi get?
31. 31.Write the ratio 48 : 56 in its simplest form. (a) 7 : 8 (b) 7 : 6 (c) 48 : 56 (d) 6 : 7
32. 32.If 9 notebooks cost ₹522, how many rupees do 12 notebooks cost?
33. 33.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Are 12, 18, 6 and 10 in proportion? (a) No (b) Yes
35. 35.Are 4, 10, 8 and 21 in proportion? (a) No (b) Yes
36. 36.A team has 28 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 4 (b) 3 : 7 (c) 28 : 12 (d) 7 : 3
37. 37.₹390 is shared between Joseph and Riya in the ratio 4 : 9. How many rupees does Riya get?
38. 38.1 : 3 = 5 : ?
39. 39.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
40. 40.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?

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