Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 378 · 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.Are 8, 36, 16 and 73 in proportion? (a) No (b) Yes
2. 2.Are 4, 10, 6 and 18 in proportion? (a) No (b) Yes
3. 3.A box has 54 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 5 (b) 9 : 4 (c) 54 : 24 (d) 4 : 9
4. 4.Write the ratio 12 : 4 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 4 : 2 (d) 12 : 4
5. 5.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 3 hours?
6. 6.7 : 9 = 14 : ?
7. 7.Are 18, 48, 9 and 24 in proportion? (a) Yes (b) No
8. 8.₹1710 is shared between Pooja and Joseph in the ratio 4 : 5. How many rupees does Pooja get?
9. 9.Write the ratio 2 : 10 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 2 : 10 (d) 1 : 5
10. 10.7 : 8 = 35 : ?
11. 11.5 : 7 = 10 : ?
12. 12.Write the ratio 15 : 18 in its simplest form. (a) 6 : 7 (b) 5 : 6 (c) 6 : 5 (d) 15 : 18
13. 13.3 : 5 = 24 : ?
14. 14.₹200 is shared between Zoya and Manav in the ratio 1 : 3. How many rupees does Zoya get?
15. 15.Are 9, 15, 18 and 30 in proportion? (a) Yes (b) No
16. 16.Are 40, 45, 56 and 63 in proportion? (a) Yes (b) No
17. 17.Are 4, 14, 14 and 50 in proportion? (a) No (b) Yes
18. 18.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 8 hours?
19. 19.1 : 5 = 3 : ?
20. 20.If 4 mangoes cost ₹28, how many rupees do 7 mangoes cost?
21. 21.A library shelf has 4 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 10 (b) 2 : 5 (c) 3 : 6 (d) 5 : 2
22. 22.Write the ratio 63 : 54 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 63 : 54 (d) 6 : 7
23. 23.Write the ratio 10 : 8 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 10 : 8 (d) 5 : 4
24. 24.A garden has 27 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 27 : 12 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
25. 25.If 5 ice creams cost ₹175, how many rupees do 3 ice creams cost?
26. 26.8 : 9 = 56 : ?
27. 27.Are 6, 10, 27 and 45 in proportion? (a) Yes (b) No
28. 28.5 : 8 = ? : 16
29. 29.1 : 5 = ? : 35
30. 30.2 : 5 = ? : 20
31. 31.Write the ratio 36 : 45 in its simplest form. (a) 36 : 45 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
32. 32.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 3 hours?
33. 33.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 8 hours?
34. 34.Are 6, 14, 15 and 36 in proportion? (a) No (b) Yes
35. 35.Write the ratio 20 : 15 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 4 : 3 (d) 20 : 15
36. 36.Are 21, 24, 49 and 57 in proportion? (a) No (b) Yes
37. 37.Write the ratio 56 : 63 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 9 : 10 (d) 56 : 63
38. 38.₹480 is shared between Farhan and Ishaan in the ratio 3 : 5. How many rupees does Ishaan get?
39. 39.₹180 is shared between Lakshmi and Ananya in the ratio 1 : 8. How many rupees does Ananya get?
40. 40.₹270 is shared between Aarav and Manav in the ratio 2 : 7. How many rupees does Manav get?

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