Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 233 · 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. 1.5 : 9 = 45 : ?
2. 2.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
3. 3.₹800 is shared between Dev and Riya in the ratio 7 : 9. How many rupees does Dev get?
4. 4.Are 6, 24, 4 and 19 in proportion? (a) No (b) Yes
5. 5.₹950 is shared between Karan and Meera in the ratio 1 : 4. How many rupees does Meera get?
6. 6.5 : 9 = ? : 45
7. 7.Write the ratio 10 : 6 in its simplest form. (a) 10 : 6 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
8. 8.1 : 3 = ? : 18
9. 9.1 : 2 = ? : 8
10. 10.₹240 is shared between Karan and Kavya in the ratio 1 : 5. How many rupees does Kavya get?
11. 11.Are 3, 27, 4 and 37 in proportion? (a) Yes (b) No
12. 12.Write the ratio 4 : 14 in its simplest form. (a) 2 : 7 (b) 7 : 2 (c) 4 : 14 (d) 3 : 8
13. 13.Write the ratio 28 : 8 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 28 : 8 (d) 7 : 2
14. 14.A team has 54 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 54 : 24 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
15. 15.A basket has 45 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 6 : 7 (d) 45 : 54
16. 16.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
17. 17.₹1950 is shared between Zoya and Rahul in the ratio 6 : 7. How many rupees does Rahul get?
18. 18.Write the ratio 4 : 16 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 4 : 16
19. 19.Are 4, 16, 6 and 25 in proportion? (a) Yes (b) No
20. 20.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 4 hours?
21. 21.5 : 8 = 50 : ?
22. 22.5 : 9 = 20 : ?
23. 23.8 : 9 = 80 : ?
24. 24.1 : 8 = ? : 64
25. 25.If 2 pens cost ₹110, how many rupees do 8 pens cost?
26. 26.Are 9, 12, 21 and 28 in proportion? (a) No (b) Yes
27. 27.₹100 is shared between Ananya and Kabir in the ratio 1 : 9. How many rupees does Kabir get?
28. 28.₹390 is shared between Zoya and Rahul in the ratio 1 : 2. How many rupees does Rahul get?
29. 29.A class has 36 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 9 : 2 (c) 36 : 8 (d) 10 : 3
30. 30.A team has 54 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 54 : 45 (d) 7 : 6
31. 31.2 : 9 = 10 : ?
32. 32.Are 6, 14, 27 and 66 in proportion? (a) Yes (b) No
33. 33.A team has 15 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 6 (b) 5 : 3 (c) 3 : 5 (d) 15 : 25
34. 34.₹1050 is shared between Saanvi and Ananya in the ratio 2 : 5. How many rupees does Ananya get?
35. 35.5 : 7 = ? : 14
36. 36.Write the ratio 16 : 10 in its simplest form. (a) 16 : 10 (b) 5 : 8 (c) 9 : 6 (d) 8 : 5
37. 37.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
38. 38.Write the ratio 12 : 10 in its simplest form. (a) 12 : 10 (b) 6 : 5 (c) 7 : 6 (d) 5 : 6
39. 39.If 8 bus tickets cost ₹136, how many rupees do 11 bus tickets cost?
40. 40.If 8 ice creams cost ₹352, how many rupees do 4 ice creams cost?

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