Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 65 · 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.₹2200 is shared between Isha and Pooja in the ratio 5 : 6. How many rupees does Isha get?
2. 2.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
3. 3.2 : 3 = ? : 12
4. 4.A basket has 12 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 3 (b) 5 : 4 (c) 12 : 9 (d) 3 : 4
5. 5.₹110 is shared between Zoya and Riya in the ratio 4 : 7. How many rupees does Zoya get?
6. 6.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.A team has 27 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 8 (b) 27 : 63 (c) 3 : 7 (d) 7 : 3
8. 8.7 : 8 = ? : 16
9. 9.5 : 9 = ? : 27
10. 10.Write the ratio 30 : 5 in its simplest form. (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 30 : 5
11. 11.If 4 ice creams cost ₹188, how many rupees do 6 ice creams cost?
12. 12.3 : 4 = ? : 12
13. 13.Are 16, 18, 48 and 57 in proportion? (a) Yes (b) No
14. 14.If 6 pens cost ₹132, how many rupees do 4 pens cost?
15. 15.A garden has 24 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 6 (b) 5 : 4 (c) 24 : 30 (d) 4 : 5
16. 16.1 : 5 = ? : 50
17. 17.If 2 notebooks cost ₹74, how many rupees do 9 notebooks cost?
18. 18.₹1620 is shared between Isha and Aditya in the ratio 4 : 5. How many rupees does Aditya get?
19. 19.A team has 15 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 4 (b) 4 : 5 (c) 15 : 20 (d) 4 : 3
20. 20.₹300 is shared between Rohan and Lakshmi in the ratio 1 : 4. How many rupees does Lakshmi get?
21. 21.A garden has 32 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 3 (b) 32 : 12 (c) 3 : 8 (d) 9 : 4
22. 22.Are 5, 35, 9 and 66 in proportion? (a) No (b) Yes
23. 23.Are 3, 12, 2 and 11 in proportion? (a) No (b) Yes
24. 24.4 : 7 = ? : 14
25. 25.5 : 7 = 30 : ?
26. 26.Write the ratio 27 : 6 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 27 : 6
27. 27.3 : 7 = 12 : ?
28. 28.Are 25, 40, 35 and 59 in proportion? (a) No (b) Yes
29. 29.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
30. 30.Are 6, 42, 2 and 14 in proportion? (a) No (b) Yes
31. 31.If 5 bus tickets cost ₹225, how many rupees do 4 bus tickets cost?
32. 32.₹1320 is shared between Tara and Ananya in the ratio 3 : 8. How many rupees does Tara get?
33. 33.A box has 56 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 6 (b) 8 : 7 (c) 56 : 48 (d) 6 : 7
34. 34.4 : 9 = 12 : ?
35. 35.₹720 is shared between Tara and Dev in the ratio 1 : 7. How many rupees does Tara get?
36. 36.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
37. 37.A basket has 35 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 10 (b) 8 : 3 (c) 7 : 2 (d) 2 : 7
38. 38.Are 5, 35, 3 and 24 in proportion? (a) Yes (b) No
39. 39.Are 14, 18, 28 and 36 in proportion? (a) Yes (b) No
40. 40.A class has 36 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 36 : 45 (d) 5 : 6

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