Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 400 · 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. 1.1 : 4 = ? : 32
2. 2.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
3. 3.3 : 8 = ? : 16
4. 4.If 6 bus tickets cost ₹354, how many rupees do 8 bus tickets cost?
5. 5.5 : 6 = ? : 18
6. 6.Are 2, 6, 3 and 9 in proportion? (a) Yes (b) No
7. 7.Are 15, 24, 20 and 33 in proportion? (a) Yes (b) No
8. 8.₹900 is shared between Rohan and Riya in the ratio 1 : 8. How many rupees does Rohan get?
9. 9.₹2080 is shared between Sneha and Riya in the ratio 7 : 9. How many rupees does Sneha get?
10. 10.Are 35, 45, 21 and 29 in proportion? (a) Yes (b) No
11. 11.Are 20, 32, 45 and 73 in proportion? (a) No (b) Yes
12. 12.₹1200 is shared between Zoya and Arjun in the ratio 1 : 5. How many rupees does Zoya get?
13. 13.A class has 18 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 18 : 45
14. 14.Write the ratio 35 : 42 in its simplest form. (a) 35 : 42 (b) 5 : 6 (c) 6 : 5 (d) 6 : 7
15. 15.2 : 5 = ? : 10
16. 16.If 6 pens cost ₹150, how many rupees do 8 pens cost?
17. 17.Are 5, 40, 7 and 56 in proportion? (a) No (b) Yes
18. 18.If 8 bus tickets cost ₹248, how many rupees do 4 bus tickets cost?
19. 19.A garden has 10 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 10 : 2
20. 20.Write the ratio 3 : 21 in its simplest form. (a) 2 : 8 (b) 3 : 21 (c) 7 : 1 (d) 1 : 7
21. 21.Write the ratio 14 : 21 in its simplest form. (a) 2 : 3 (b) 14 : 21 (c) 3 : 4 (d) 3 : 2
22. 22.₹270 is shared between Joseph and Gurpreet in the ratio 1 : 2. How many rupees does Joseph get?
23. 23.Are 12, 30, 4 and 10 in proportion? (a) No (b) Yes
24. 24.Write the ratio 3 : 6 in its simplest form. (a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 3 : 6
25. 25.A library shelf has 2 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 10 (b) 2 : 18 (c) 1 : 9 (d) 9 : 1
26. 26.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 4 : 10 (c) 3 : 6 (d) 5 : 2
27. 27.A class has 16 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 6 (b) 5 : 4 (c) 16 : 20 (d) 4 : 5
28. 28.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
29. 29.₹780 is shared between Nisha and Aditya in the ratio 4 : 9. How many rupees does Aditya get?
30. 30.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 4 hours?
31. 31.A garden has 25 rose plants and 5 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 2 (b) 1 : 5 (c) 25 : 5 (d) 5 : 1
32. 32.Are 15, 24, 10 and 16 in proportion? (a) No (b) Yes
33. 33.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
34. 34.If 3 bus tickets cost ₹66, how many rupees do 8 bus tickets cost?
35. 35.If 4 mangoes cost ₹228, how many rupees do 2 mangoes cost?
36. 36.Are 12, 30, 14 and 37 in proportion? (a) Yes (b) No
37. 37.A team has 9 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 1 (b) 9 : 45 (c) 1 : 5 (d) 2 : 6
38. 38.Write the ratio 25 : 15 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 25 : 15
39. 39.If 7 bus tickets cost ₹91, how many rupees do 12 bus tickets cost?
40. 40.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?

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