Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 19 · 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 library shelf has 45 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 7 (b) 5 : 6 (c) 45 : 54 (d) 6 : 5
2. 2.A basket has 15 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 15 : 3 (c) 5 : 1 (d) 6 : 2
3. 3.Write the ratio 64 : 40 in its simplest form. (a) 9 : 6 (b) 8 : 5 (c) 64 : 40 (d) 5 : 8
4. 4.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 7 hours?
5. 5.₹260 is shared between Kavya and Tara in the ratio 4 : 9. How many rupees does Kavya get?
6. 6.₹720 is shared between Kavya and Aarav in the ratio 3 : 5. How many rupees does Kavya get?
7. 7.If 3 notebooks cost ₹150, how many rupees do 6 notebooks cost?
8. 8.Are 2, 16, 4 and 32 in proportion? (a) Yes (b) No
9. 9.A basket has 64 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 8 (b) 64 : 56 (c) 9 : 8 (d) 8 : 7
10. 10.Are 18, 48, 9 and 26 in proportion? (a) No (b) Yes
11. 11.A team has 15 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 15 : 10 (c) 2 : 3 (d) 4 : 3
12. 12.A library shelf has 28 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 28 : 4 (d) 1 : 7
13. 13.4 : 7 = ? : 70
14. 14.₹420 is shared between Rohan and Rahul in the ratio 1 : 2. How many rupees does Rohan get?
15. 15.Are 15, 25, 18 and 31 in proportion? (a) Yes (b) No
16. 16.3 : 5 = 27 : ?
17. 17.Write the ratio 12 : 16 in its simplest form. (a) 4 : 5 (b) 12 : 16 (c) 3 : 4 (d) 4 : 3
18. 18.₹1050 is shared between Gurpreet and Joseph in the ratio 2 : 5. How many rupees does Joseph get?
19. 19.If 4 pens cost ₹36, how many rupees do 12 pens cost?
20. 20.Are 8, 10, 32 and 41 in proportion? (a) No (b) Yes
21. 21.2 : 7 = 20 : ?
22. 22.1 : 7 = ? : 35
23. 23.₹600 is shared between Ishaan and Dev in the ratio 1 : 5. How many rupees does Dev get?
24. 24.If 4 ice creams cost ₹68, how many rupees do 7 ice creams cost?
25. 25.2 : 5 = 6 : ?
26. 26.₹770 is shared between Pooja and Farhan in the ratio 1 : 6. How many rupees does Pooja get?
27. 27.Write the ratio 25 : 5 in its simplest form. (a) 25 : 5 (b) 5 : 1 (c) 1 : 5 (d) 6 : 2
28. 28.A team has 9 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 12 (b) 3 : 4 (c) 4 : 5 (d) 4 : 3
29. 29.5 : 6 = 45 : ?
30. 30.Are 12, 42, 4 and 14 in proportion? (a) No (b) Yes
31. 31.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 6 hours?
32. 32.4 : 5 = 28 : ?
33. 33.5 : 7 = 30 : ?
34. 34.₹2340 is shared between Dev and Tara in the ratio 6 : 7. How many rupees does Tara get?
35. 35.Are 2, 6, 6 and 18 in proportion? (a) No (b) Yes
36. 36.₹1980 is shared between Isha and Dev in the ratio 4 : 7. How many rupees does Dev get?
37. 37.3 : 5 = ? : 50
38. 38.1 : 8 = ? : 16
39. 39.₹950 is shared between Ishaan and Kabir in the ratio 2 : 3. How many rupees does Ishaan get?
40. 40.Write the ratio 20 : 15 in its simplest form. (a) 5 : 4 (b) 20 : 15 (c) 3 : 4 (d) 4 : 3

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