Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 353 · 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.If 2 notebooks cost ₹54, how many rupees do 3 notebooks cost?
2. 2.Are 15, 24, 30 and 48 in proportion? (a) No (b) Yes
3. 3.Write the ratio 12 : 10 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 12 : 10 (d) 5 : 6
4. 4.Are 12, 18, 8 and 13 in proportion? (a) Yes (b) No
5. 5.A library shelf has 24 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 1 (b) 4 : 2 (c) 24 : 8 (d) 1 : 3
6. 6.A team has 6 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 6 (b) 2 : 5 (c) 6 : 15 (d) 5 : 2
7. 7.Are 15, 40, 6 and 17 in proportion? (a) Yes (b) No
8. 8.A box has 45 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 45 : 40 (b) 8 : 9 (c) 9 : 8 (d) 10 : 9
9. 9.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
10. 10.₹510 is shared between Aditya and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
11. 11.₹1210 is shared between Kavya and Rahul in the ratio 3 : 8. How many rupees does Kavya get?
12. 12.3 : 8 = 18 : ?
13. 13.Write the ratio 49 : 28 in its simplest form. (a) 49 : 28 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
14. 14.Write the ratio 30 : 6 in its simplest form. (a) 5 : 1 (b) 6 : 2 (c) 1 : 5 (d) 30 : 6
15. 15.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 7 hours?
16. 16.5 : 9 = 25 : ?
17. 17.1 : 4 = ? : 8
18. 18.A garden has 15 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 3 (b) 3 : 2 (c) 15 : 10 (d) 2 : 3
19. 19.Write the ratio 63 : 49 in its simplest form. (a) 63 : 49 (b) 9 : 7 (c) 7 : 9 (d) 10 : 8
20. 20.5 : 6 = ? : 30
21. 21.Write the ratio 18 : 10 in its simplest form. (a) 10 : 6 (b) 9 : 5 (c) 18 : 10 (d) 5 : 9
22. 22.5 : 8 = 20 : ?
23. 23.Write the ratio 18 : 15 in its simplest form. (a) 7 : 6 (b) 5 : 6 (c) 18 : 15 (d) 6 : 5
24. 24.₹50 is shared between Dev and Sneha in the ratio 1 : 4. How many rupees does Dev get?
25. 25.Write the ratio 18 : 14 in its simplest form. (a) 18 : 14 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7
26. 26.If 7 pens cost ₹168, how many rupees do 10 pens cost?
27. 27.₹1530 is shared between Isha and Tara in the ratio 4 : 5. How many rupees does Tara get?
28. 28.Are 28, 32, 63 and 72 in proportion? (a) Yes (b) No
29. 29.Write the ratio 14 : 10 in its simplest form. (a) 7 : 5 (b) 14 : 10 (c) 5 : 7 (d) 8 : 6
30. 30.A garden has 8 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 56 (b) 1 : 7 (c) 2 : 8 (d) 7 : 1
31. 31.Write the ratio 16 : 12 in its simplest form. (a) 5 : 4 (b) 16 : 12 (c) 4 : 3 (d) 3 : 4
32. 32.Write the ratio 56 : 35 in its simplest form. (a) 5 : 8 (b) 9 : 6 (c) 8 : 5 (d) 56 : 35
33. 33.1 : 2 = ? : 16
34. 34.₹800 is shared between Tara and Kabir in the ratio 1 : 4. How many rupees does Kabir get?
35. 35.Are 5, 20, 2 and 8 in proportion? (a) Yes (b) No
36. 36.Write the ratio 14 : 21 in its simplest form. (a) 14 : 21 (b) 2 : 3 (c) 3 : 2 (d) 3 : 4
37. 37.If 9 notebooks cost ₹90, how many rupees do 4 notebooks cost?
38. 38.Write the ratio 42 : 7 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 7 : 2 (d) 42 : 7
39. 39.1 : 9 = ? : 36
40. 40.A basket has 15 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 5 (b) 6 : 5 (c) 15 : 12 (d) 5 : 4

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