Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 421 · 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.Write the ratio 18 : 9 in its simplest form. (a) 2 : 1 (b) 3 : 2 (c) 1 : 2 (d) 18 : 9
2. 2.Are 5, 35, 6 and 42 in proportion? (a) Yes (b) No
3. 3.1 : 7 = ? : 56
4. 4.Are 25, 45, 30 and 54 in proportion? (a) Yes (b) No
5. 5.Are 3, 27, 2 and 18 in proportion? (a) No (b) Yes
6. 6.3 : 5 = 24 : ?
7. 7.3 : 8 = ? : 56
8. 8.Write the ratio 5 : 40 in its simplest form. (a) 5 : 40 (b) 8 : 1 (c) 2 : 9 (d) 1 : 8
9. 9.If 4 notebooks cost ₹88, how many rupees do 9 notebooks cost?
10. 10.Write the ratio 20 : 15 in its simplest form. (a) 4 : 3 (b) 5 : 4 (c) 20 : 15 (d) 3 : 4
11. 11.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
12. 12.If 2 notebooks cost ₹30, how many rupees do 9 notebooks cost?
13. 13.1 : 7 = 2 : ?
14. 14.A garden has 4 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 4 : 2 (d) 3 : 2
15. 15.₹1200 is shared between Saanvi and Karan in the ratio 5 : 7. How many rupees does Karan get?
16. 16.A library shelf has 54 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 54 : 9 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
17. 17.1 : 4 = 8 : ?
18. 18.If 6 notebooks cost ₹210, how many rupees do 5 notebooks cost?
19. 19.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 2 hours?
20. 20.Are 15, 21, 20 and 29 in proportion? (a) No (b) Yes
21. 21.Write the ratio 9 : 81 in its simplest form. (a) 9 : 1 (b) 9 : 81 (c) 1 : 9 (d) 2 : 10
22. 22.₹720 is shared between Saanvi and Lakshmi in the ratio 3 : 5. How many rupees does Lakshmi get?
23. 23.Write the ratio 49 : 7 in its simplest form. (a) 1 : 7 (b) 8 : 2 (c) 7 : 1 (d) 49 : 7
24. 24.₹2880 is shared between Rohan and Diya in the ratio 7 : 9. How many rupees does Rohan get?
25. 25.Are 4, 6, 8 and 12 in proportion? (a) No (b) Yes
26. 26.Write the ratio 42 : 6 in its simplest form. (a) 7 : 1 (b) 42 : 6 (c) 1 : 7 (d) 8 : 2
27. 27.Write the ratio 6 : 27 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 6 : 27
28. 28.Are 6, 10, 12 and 22 in proportion? (a) No (b) Yes
29. 29.Write the ratio 20 : 8 in its simplest form. (a) 2 : 5 (b) 6 : 3 (c) 20 : 8 (d) 5 : 2
30. 30.₹180 is shared between Tara and Kabir in the ratio 4 : 5. How many rupees does Tara get?
31. 31.Are 5, 45, 4 and 36 in proportion? (a) Yes (b) No
32. 32.6 : 7 = 48 : ?
33. 33.Are 10, 12, 45 and 57 in proportion? (a) Yes (b) No
34. 34.₹1200 is shared between Kavya and Diya in the ratio 1 : 9. How many rupees does Kavya get?
35. 35.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 4 : 10
36. 36.If 7 notebooks cost ₹35, how many rupees do 4 notebooks cost?
37. 37.A box has 6 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 6 : 48 (c) 1 : 8 (d) 8 : 1
38. 38.1 : 3 = 10 : ?
39. 39.2 : 5 = ? : 25
40. 40.Are 28, 32, 49 and 57 in proportion? (a) Yes (b) No

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