Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 165 · 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.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
2. 2.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 7 : 49 (d) 2 : 8
3. 3.1 : 9 = ? : 36
4. 4.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 7 hours?
5. 5.A scooter goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
6. 6.Write the ratio 35 : 45 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 7 : 9 (d) 35 : 45
7. 7.A team has 18 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 45 (b) 3 : 6 (c) 5 : 2 (d) 2 : 5
8. 8.Are 9, 21, 21 and 49 in proportion? (a) No (b) Yes
9. 9.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 12 : 42 in its simplest form. (a) 2 : 7 (b) 7 : 2 (c) 3 : 8 (d) 12 : 42
11. 11.Write the ratio 27 : 36 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 3 : 4 (d) 27 : 36
12. 12.Write the ratio 42 : 12 in its simplest form. (a) 8 : 3 (b) 2 : 7 (c) 7 : 2 (d) 42 : 12
13. 13.A garden has 16 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 10 (b) 16 : 18 (c) 9 : 8 (d) 8 : 9
14. 14.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 1 hour?
15. 15.A basket has 10 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 6 : 7 (c) 10 : 12 (d) 5 : 6
16. 16.₹1440 is shared between Arjun and Meera in the ratio 7 : 9. How many rupees does Arjun get?
17. 17.₹2470 is shared between Arjun and Karan in the ratio 5 : 8. How many rupees does Arjun get?
18. 18.Are 4, 14, 14 and 49 in proportion? (a) No (b) Yes
19. 19.2 : 7 = ? : 35
20. 20.₹990 is shared between Isha and Rohan in the ratio 3 : 8. How many rupees does Isha get?
21. 21.If 5 ice creams cost ₹210, how many rupees do 2 ice creams cost?
22. 22.If 3 ice creams cost ₹45, how many rupees do 7 ice creams cost?
23. 23.Write the ratio 54 : 63 in its simplest form. (a) 54 : 63 (b) 7 : 8 (c) 7 : 6 (d) 6 : 7
24. 24.Are 42, 48, 49 and 56 in proportion? (a) Yes (b) No
25. 25.Are 6, 24, 9 and 36 in proportion? (a) No (b) Yes
26. 26.Write the ratio 15 : 10 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 2 : 3 (d) 15 : 10
27. 27.7 : 9 = 21 : ?
28. 28.Write the ratio 24 : 21 in its simplest form. (a) 7 : 8 (b) 24 : 21 (c) 9 : 8 (d) 8 : 7
29. 29.₹600 is shared between Pooja and Karan in the ratio 1 : 2. How many rupees does Pooja get?
30. 30.Write the ratio 8 : 56 in its simplest form. (a) 2 : 8 (b) 1 : 7 (c) 8 : 56 (d) 7 : 1
31. 31.If 2 pens cost ₹28, how many rupees do 11 pens cost?
32. 32.₹1260 is shared between Isha and Saanvi in the ratio 2 : 5. How many rupees does Saanvi get?
33. 33.Write the ratio 3 : 15 in its simplest form. (a) 2 : 6 (b) 3 : 15 (c) 1 : 5 (d) 5 : 1
34. 34.If 6 pens cost ₹306, how many rupees do 2 pens cost?
35. 35.₹400 is shared between Gurpreet and Kabir in the ratio 1 : 4. How many rupees does Gurpreet get?
36. 36.5 : 9 = 10 : ?
37. 37.Are 5, 40, 2 and 19 in proportion? (a) Yes (b) No
38. 38.2 : 3 = ? : 30
39. 39.A class has 24 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 5 : 2 (d) 24 : 6
40. 40.A team has 9 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 9 : 36 (c) 1 : 4 (d) 4 : 1

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