Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 3 · 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 team has 6 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 7 (b) 6 : 36 (c) 1 : 6 (d) 6 : 1
2. 2.Write the ratio 24 : 18 in its simplest form. (a) 5 : 4 (b) 24 : 18 (c) 3 : 4 (d) 4 : 3
3. 3.If 5 mangoes cost ₹155, how many rupees do 2 mangoes cost?
4. 4.1 : 3 = ? : 30
5. 5.A basket has 12 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 6 (b) 3 : 5 (c) 12 : 20 (d) 5 : 3
6. 6.₹1120 is shared between Meera and Rahul in the ratio 5 : 9. How many rupees does Meera get?
7. 7.6 : 7 = ? : 21
8. 8.₹880 is shared between Riya and Karan in the ratio 3 : 8. How many rupees does Riya get?
9. 9.₹260 is shared between Kabir and Rahul in the ratio 6 : 7. How many rupees does Kabir get?
10. 10.Are 12, 20, 24 and 40 in proportion? (a) Yes (b) No
11. 11.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
12. 12.₹540 is shared between Dev and Vivaan in the ratio 1 : 5. How many rupees does Dev get?
13. 13.7 : 8 = ? : 80
14. 14.A class has 30 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 6 (b) 30 : 25 (c) 6 : 5 (d) 7 : 6
15. 15.Are 2, 14, 4 and 28 in proportion? (a) No (b) Yes
16. 16.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 5 hours?
17. 17.2 : 9 = ? : 90
18. 18.If 2 notebooks cost ₹84, how many rupees do 11 notebooks cost?
19. 19.1 : 5 = 3 : ?
20. 20.If 6 mangoes cost ₹288, how many rupees do 5 mangoes cost?
21. 21.Write the ratio 63 : 45 in its simplest form. (a) 8 : 6 (b) 5 : 7 (c) 63 : 45 (d) 7 : 5
22. 22.Write the ratio 15 : 6 in its simplest form. (a) 15 : 6 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
23. 23.A team has 72 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 8 (b) 7 : 9 (c) 72 : 56 (d) 9 : 7
24. 24.Are 12, 20, 9 and 17 in proportion? (a) No (b) Yes
25. 25.₹560 is shared between Sneha and Nisha in the ratio 3 : 5. How many rupees does Sneha get?
26. 26.A library shelf has 16 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 8 (b) 8 : 5 (c) 16 : 10 (d) 9 : 6
27. 27.If 2 mangoes cost ₹16, how many rupees do 3 mangoes cost?
28. 28.Write the ratio 20 : 15 in its simplest form. (a) 20 : 15 (b) 4 : 3 (c) 3 : 4 (d) 5 : 4
29. 29.3 : 4 = ? : 20
30. 30.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
31. 31.A garden has 16 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 2 (b) 3 : 10 (c) 16 : 72 (d) 2 : 9
32. 32.Write the ratio 15 : 27 in its simplest form. (a) 6 : 10 (b) 5 : 9 (c) 9 : 5 (d) 15 : 27
33. 33.1 : 2 = 5 : ?
34. 34.If 9 mangoes cost ₹144, how many rupees do 4 mangoes cost?
35. 35.₹910 is shared between Tara and Sneha in the ratio 6 : 7. How many rupees does Tara get?
36. 36.3 : 5 = ? : 30
37. 37.3 : 4 = ? : 40
38. 38.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
39. 39.3 : 8 = 27 : ?
40. 40.A library shelf has 8 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 8 : 72 (d) 2 : 10

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