Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 218 · 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.Write the ratio 64 : 8 in its simplest form. (a) 1 : 8 (b) 8 : 1 (c) 64 : 8 (d) 9 : 2
2. 2.5 : 7 = 25 : ?
3. 3.A team has 12 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 3 (b) 12 : 32 (c) 4 : 9 (d) 3 : 8
4. 4.₹840 is shared between Joseph and Isha in the ratio 1 : 5. How many rupees does Joseph get?
5. 5.5 : 6 = ? : 12
6. 6.If 3 ice creams cost ₹147, how many rupees do 11 ice creams cost?
7. 7.₹2000 is shared between Arjun and Saanvi in the ratio 3 : 7. How many rupees does Saanvi get?
8. 8.Write the ratio 10 : 2 in its simplest form. (a) 6 : 2 (b) 5 : 1 (c) 10 : 2 (d) 1 : 5
9. 9.Write the ratio 15 : 21 in its simplest form. (a) 6 : 8 (b) 5 : 7 (c) 15 : 21 (d) 7 : 5
10. 10.₹2210 is shared between Sneha and Vivaan in the ratio 5 : 8. How many rupees does Vivaan get?
11. 11.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 4 hours?
12. 12.2 : 3 = ? : 12
13. 13.Are 30, 42, 25 and 37 in proportion? (a) Yes (b) No
14. 14.1 : 6 = ? : 48
15. 15.8 : 9 = 40 : ?
16. 16.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
17. 17.A team has 9 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 24 (b) 8 : 3 (c) 4 : 9 (d) 3 : 8
18. 18.Write the ratio 8 : 48 in its simplest form. (a) 2 : 7 (b) 8 : 48 (c) 6 : 1 (d) 1 : 6
19. 19.Write the ratio 42 : 49 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 42 : 49 (d) 7 : 6
20. 20.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 2 hours?
21. 21.Write the ratio 20 : 24 in its simplest form. (a) 5 : 6 (b) 6 : 5 (c) 6 : 7 (d) 20 : 24
22. 22.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
23. 23.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
24. 24.Write the ratio 3 : 18 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 3 : 18 (d) 2 : 7
25. 25.7 : 8 = 35 : ?
26. 26.If 9 notebooks cost ₹144, how many rupees do 2 notebooks cost?
27. 27.Write the ratio 28 : 35 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 28 : 35 (d) 5 : 6
28. 28.₹240 is shared between Lakshmi and Kabir in the ratio 1 : 5. How many rupees does Lakshmi get?
29. 29.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
30. 30.A garden has 27 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 10 : 6 (d) 27 : 15
31. 31.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
32. 32.₹770 is shared between Manav and Ishaan in the ratio 3 : 4. How many rupees does Ishaan get?
33. 33.Are 8, 10, 24 and 30 in proportion? (a) No (b) Yes
34. 34.If 9 chocolates cost ₹81, how many rupees do 4 chocolates cost?
35. 35.₹1540 is shared between Pooja and Zoya in the ratio 4 : 7. How many rupees does Zoya get?
36. 36.Write the ratio 2 : 18 in its simplest form. (a) 2 : 18 (b) 1 : 9 (c) 9 : 1 (d) 2 : 10
37. 37.₹990 is shared between Riya and Meera in the ratio 4 : 5. How many rupees does Meera get?
38. 38.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
39. 39.If 7 ice creams cost ₹280, how many rupees do 4 ice creams cost?
40. 40.5 : 8 = ? : 48

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