Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 231 · 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 = ? : 36
2. 2.5 : 8 = ? : 40
3. 3.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 2 hours?
4. 4.4 : 7 = 12 : ?
5. 5.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 8 hours?
6. 6.Write the ratio 45 : 63 in its simplest form. (a) 7 : 5 (b) 45 : 63 (c) 6 : 8 (d) 5 : 7
7. 7.If 6 notebooks cost ₹114, how many rupees do 4 notebooks cost?
8. 8.1 : 2 = ? : 20
9. 9.1 : 2 = ? : 18
10. 10.Write the ratio 35 : 7 in its simplest form. (a) 35 : 7 (b) 6 : 2 (c) 5 : 1 (d) 1 : 5
11. 11.5 : 6 = 20 : ?
12. 12.A team has 54 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 54 : 63 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
13. 13.₹220 is shared between Farhan and Ishaan in the ratio 3 : 8. How many rupees does Ishaan get?
14. 14.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
15. 15.If 5 pens cost ₹255, how many rupees do 11 pens cost?
16. 16.Write the ratio 9 : 18 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 9 : 18
17. 17.₹1260 is shared between Ishaan and Lakshmi in the ratio 2 : 7. How many rupees does Ishaan get?
18. 18.Are 40, 45, 64 and 72 in proportion? (a) Yes (b) No
19. 19.Are 15, 35, 27 and 63 in proportion? (a) No (b) Yes
20. 20.7 : 8 = ? : 72
21. 21.If 7 bus tickets cost ₹413, how many rupees do 3 bus tickets cost?
22. 22.Write the ratio 36 : 4 in its simplest form. (a) 9 : 1 (b) 36 : 4 (c) 1 : 9 (d) 10 : 2
23. 23.7 : 8 = ? : 64
24. 24.If 2 bus tickets cost ₹20, how many rupees do 6 bus tickets cost?
25. 25.Write the ratio 15 : 18 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 15 : 18
26. 26.₹600 is shared between Rahul and Aarav in the ratio 1 : 2. How many rupees does Aarav get?
27. 27.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 6 hours?
28. 28.3 : 4 = 6 : ?
29. 29.If 7 pens cost ₹378, how many rupees do 11 pens cost?
30. 30.₹1870 is shared between Arjun and Karan in the ratio 2 : 9. How many rupees does Arjun get?
31. 31.A library shelf has 20 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 9 (b) 20 : 32 (c) 8 : 5 (d) 5 : 8
32. 32.₹950 is shared between Zoya and Tara in the ratio 1 : 4. How many rupees does Tara get?
33. 33.A garden has 64 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 8 (b) 7 : 8 (c) 8 : 7 (d) 64 : 56
34. 34.3 : 5 = ? : 30
35. 35.If 5 chocolates cost ₹180, how many rupees do 12 chocolates cost?
36. 36.Are 25, 45, 10 and 19 in proportion? (a) Yes (b) No
37. 37.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 5 hours?
38. 38.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
39. 39.A library shelf has 6 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 6 : 24
40. 40.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 4 hours?

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