Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 321 · 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. 1.3 : 5 = ? : 35
2. 2.A basket has 35 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 45 (b) 8 : 10 (c) 7 : 9 (d) 9 : 7
3. 3.Are 12, 32, 27 and 72 in proportion? (a) No (b) Yes
4. 4.₹180 is shared between Isha and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
5. 5.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
6. 6.Are 18, 21, 42 and 52 in proportion? (a) Yes (b) No
7. 7.Are 10, 16, 15 and 24 in proportion? (a) No (b) Yes
8. 8.₹1040 is shared between Ananya and Lakshmi in the ratio 4 : 9. How many rupees does Lakshmi get?
9. 9.Are 4, 20, 2 and 10 in proportion? (a) No (b) Yes
10. 10.1 : 7 = ? : 70
11. 11.₹1440 is shared between Ananya and Diya in the ratio 3 : 5. How many rupees does Ananya get?
12. 12.Are 35, 40, 63 and 72 in proportion? (a) Yes (b) No
13. 13.A box has 20 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 20 : 36
14. 14.Are 30, 48, 25 and 40 in proportion? (a) No (b) Yes
15. 15.Are 8, 18, 28 and 66 in proportion? (a) No (b) Yes
16. 16.Are 5, 25, 7 and 36 in proportion? (a) No (b) Yes
17. 17.A library shelf has 36 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 5 (b) 4 : 9 (c) 9 : 4 (d) 36 : 16
18. 18.4 : 9 = ? : 54
19. 19.₹480 is shared between Ananya and Farhan in the ratio 1 : 2. How many rupees does Farhan get?
20. 20.If 3 mangoes cost ₹66, how many rupees do 4 mangoes cost?
21. 21.Are 9, 24, 6 and 16 in proportion? (a) No (b) Yes
22. 22.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
23. 23.Are 6, 9, 16 and 26 in proportion? (a) Yes (b) No
24. 24.3 : 7 = ? : 14
25. 25.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
26. 26.₹1560 is shared between Priya and Lakshmi in the ratio 4 : 9. How many rupees does Lakshmi get?
27. 27.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
28. 28.If 5 notebooks cost ₹245, how many rupees do 4 notebooks cost?
29. 29.A team has 21 batters and 49 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 3 (b) 21 : 49 (c) 3 : 7 (d) 4 : 8
30. 30.If 7 pens cost ₹217, how many rupees do 4 pens cost?
31. 31.Write the ratio 54 : 63 in its simplest form. (a) 7 : 8 (b) 54 : 63 (c) 7 : 6 (d) 6 : 7
32. 32.7 : 8 = ? : 72
33. 33.Write the ratio 30 : 25 in its simplest form. (a) 7 : 6 (b) 5 : 6 (c) 6 : 5 (d) 30 : 25
34. 34.Write the ratio 15 : 9 in its simplest form. (a) 15 : 9 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
35. 35.₹2520 is shared between Karan and Aditya in the ratio 5 : 9. How many rupees does Aditya get?
36. 36.If 4 chocolates cost ₹144, how many rupees do 5 chocolates cost?
37. 37.A basket has 56 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 56 : 63 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
38. 38.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
39. 39.₹1210 is shared between Diya and Kabir in the ratio 4 : 7. How many rupees does Kabir get?
40. 40.A box has 12 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 12 : 15 (c) 5 : 6 (d) 5 : 4

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