Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 95 · 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.Are 12, 54, 6 and 29 in proportion? (a) Yes (b) No
2. 2.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
3. 3.3 : 4 = ? : 12
4. 4.1 : 5 = 6 : ?
5. 5.Write the ratio 6 : 14 in its simplest form. (a) 6 : 14 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
6. 6.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
7. 7.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
8. 8.Write the ratio 2 : 16 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 2 : 16
9. 9.If 8 mangoes cost ₹56, how many rupees do 9 mangoes cost?
10. 10.Are 10, 35, 16 and 56 in proportion? (a) No (b) Yes
11. 11.Write the ratio 63 : 7 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 63 : 7
12. 12.If 9 chocolates cost ₹297, how many rupees do 4 chocolates cost?
13. 13.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
14. 14.If 8 bus tickets cost ₹176, how many rupees do 12 bus tickets cost?
15. 15.Are 9, 21, 15 and 35 in proportion? (a) No (b) Yes
16. 16.A basket has 35 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 7 (b) 35 : 30 (c) 7 : 6 (d) 6 : 7
17. 17.A basket has 15 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 15 : 9 (b) 6 : 4 (c) 5 : 3 (d) 3 : 5
18. 18.Are 18, 30, 27 and 46 in proportion? (a) Yes (b) No
19. 19.3 : 8 = ? : 24
20. 20.If 5 mangoes cost ₹255, how many rupees do 11 mangoes cost?
21. 21.Are 28, 32, 35 and 42 in proportion? (a) Yes (b) No
22. 22.If 5 pens cost ₹155, how many rupees do 7 pens cost?
23. 23.A car goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
24. 24.If 3 notebooks cost ₹90, how many rupees do 7 notebooks cost?
25. 25.A library shelf has 54 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 54 : 12
26. 26.A library shelf has 10 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 15 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
27. 27.If 6 chocolates cost ₹348, how many rupees do 2 chocolates cost?
28. 28.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
29. 29.A team has 12 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 12 : 10 (c) 7 : 6 (d) 6 : 5
30. 30.Write the ratio 14 : 10 in its simplest form. (a) 14 : 10 (b) 7 : 5 (c) 5 : 7 (d) 8 : 6
31. 31.₹760 is shared between Riya and Lakshmi in the ratio 1 : 3. How many rupees does Lakshmi get?
32. 32.If 8 mangoes cost ₹360, how many rupees do 3 mangoes cost?
33. 33.2 : 5 = 8 : ?
34. 34.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
35. 35.If 7 notebooks cost ₹168, how many rupees do 5 notebooks cost?
36. 36.3 : 5 = ? : 25
37. 37.Write the ratio 64 : 24 in its simplest form. (a) 64 : 24 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
38. 38.₹700 is shared between Rohan and Zoya in the ratio 1 : 4. How many rupees does Rohan get?
39. 39.If 2 bus tickets cost ₹48, how many rupees do 10 bus tickets cost?
40. 40.A class has 10 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 16 (b) 6 : 9 (c) 5 : 8 (d) 8 : 5

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