Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 51 · 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 3, 12, 6 and 27 in proportion? (a) Yes (b) No
2. 2.Are 18, 48, 27 and 74 in proportion? (a) Yes (b) No
3. 3.Write the ratio 6 : 8 in its simplest form. (a) 4 : 5 (b) 6 : 8 (c) 4 : 3 (d) 3 : 4
4. 4.A team has 16 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 8 (b) 16 : 56 (c) 2 : 7 (d) 7 : 2
5. 5.If 3 ice creams cost ₹132, how many rupees do 6 ice creams cost?
6. 6.7 : 9 = ? : 36
7. 7.A box has 15 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 12 (b) 5 : 4 (c) 6 : 5 (d) 4 : 5
8. 8.Write the ratio 25 : 5 in its simplest form. (a) 5 : 1 (b) 6 : 2 (c) 25 : 5 (d) 1 : 5
9. 9.Are 24, 27, 56 and 63 in proportion? (a) No (b) Yes
10. 10.Are 2, 14, 8 and 56 in proportion? (a) No (b) Yes
11. 11.₹1700 is shared between Dev and Zoya in the ratio 3 : 7. How many rupees does Dev get?
12. 12.If 7 mangoes cost ₹42, how many rupees do 12 mangoes cost?
13. 13.If 5 chocolates cost ₹135, how many rupees do 4 chocolates cost?
14. 14.Write the ratio 42 : 35 in its simplest form. (a) 42 : 35 (b) 5 : 6 (c) 7 : 6 (d) 6 : 5
15. 15.2 : 5 = ? : 30
16. 16.1 : 8 = 4 : ?
17. 17.₹1320 is shared between Aarav and Saanvi in the ratio 5 : 6. How many rupees does Aarav get?
18. 18.Write the ratio 9 : 21 in its simplest form. (a) 9 : 21 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
19. 19.If 2 pens cost ₹116, how many rupees do 7 pens cost?
20. 20.4 : 7 = ? : 35
21. 21.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
22. 22.If 3 ice creams cost ₹174, how many rupees do 10 ice creams cost?
23. 23.If 5 ice creams cost ₹250, how many rupees do 8 ice creams cost?
24. 24.1 : 5 = ? : 25
25. 25.A train goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
26. 26.If 4 bus tickets cost ₹40, how many rupees do 2 bus tickets cost?
27. 27.If 8 notebooks cost ₹304, how many rupees do 6 notebooks cost?
28. 28.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
29. 29.Write the ratio 6 : 18 in its simplest form. (a) 2 : 4 (b) 3 : 1 (c) 6 : 18 (d) 1 : 3
30. 30.Write the ratio 20 : 24 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 20 : 24 (d) 6 : 5
31. 31.Write the ratio 27 : 15 in its simplest form. (a) 27 : 15 (b) 5 : 9 (c) 9 : 5 (d) 10 : 6
32. 32.₹840 is shared between Farhan and Rahul in the ratio 3 : 4. How many rupees does Rahul get?
33. 33.A class has 20 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 45 (b) 5 : 10 (c) 9 : 4 (d) 4 : 9
34. 34.If 8 bus tickets cost ₹168, how many rupees do 12 bus tickets cost?
35. 35.₹2000 is shared between Farhan and Zoya in the ratio 1 : 9. How many rupees does Zoya get?
36. 36.A team has 8 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 8 : 40 (d) 2 : 6
37. 37.2 : 5 = ? : 40
38. 38.₹2000 is shared between Priya and Ishaan in the ratio 1 : 9. How many rupees does Ishaan get?
39. 39.₹120 is shared between Rohan and Farhan in the ratio 1 : 5. How many rupees does Farhan get?
40. 40.7 : 8 = ? : 16

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