Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 274 · 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. 1.1 : 8 = ? : 40
2. 2.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 3 hours?
3. 3.If 2 chocolates cost ₹34, how many rupees do 12 chocolates cost?
4. 4.If 8 mangoes cost ₹128, how many rupees do 11 mangoes cost?
5. 5.Are 12, 30, 16 and 41 in proportion? (a) Yes (b) No
6. 6.A team has 5 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 9 (b) 8 : 1 (c) 5 : 40 (d) 1 : 8
7. 7.Write the ratio 28 : 21 in its simplest form. (a) 28 : 21 (b) 4 : 3 (c) 5 : 4 (d) 3 : 4
8. 8.₹1650 is shared between Diya and Manav in the ratio 2 : 9. How many rupees does Diya get?
9. 9.A class has 15 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 15 : 6 (d) 6 : 3
10. 10.8 : 9 = 64 : ?
11. 11.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
12. 12.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 3 hours?
13. 13.Write the ratio 28 : 63 in its simplest form. (a) 5 : 10 (b) 4 : 9 (c) 9 : 4 (d) 28 : 63
14. 14.A library shelf has 8 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 8 : 36 (c) 3 : 10 (d) 9 : 2
15. 15.Write the ratio 3 : 6 in its simplest form. (a) 1 : 2 (b) 2 : 3 (c) 2 : 1 (d) 3 : 6
16. 16.Are 6, 18, 3 and 10 in proportion? (a) No (b) Yes
17. 17.Write the ratio 24 : 54 in its simplest form. (a) 5 : 10 (b) 4 : 9 (c) 24 : 54 (d) 9 : 4
18. 18.2 : 9 = ? : 27
19. 19.Write the ratio 8 : 48 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 8 : 48
20. 20.Write the ratio 36 : 30 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 36 : 30 (d) 5 : 6
21. 21.A basket has 9 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 1 (b) 9 : 36 (c) 2 : 5 (d) 1 : 4
22. 22.₹880 is shared between Farhan and Lakshmi in the ratio 5 : 6. How many rupees does Lakshmi get?
23. 23.₹420 is shared between Aarav and Farhan in the ratio 2 : 5. How many rupees does Farhan get?
24. 24.₹960 is shared between Rahul and Zoya in the ratio 1 : 5. How many rupees does Rahul get?
25. 25.Are 6, 24, 8 and 33 in proportion? (a) Yes (b) No
26. 26.₹1040 is shared between Arjun and Zoya in the ratio 1 : 7. How many rupees does Zoya get?
27. 27.₹560 is shared between Farhan and Meera in the ratio 3 : 5. How many rupees does Meera get?
28. 28.A garden has 14 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 3 : 6 (c) 14 : 35 (d) 5 : 2
29. 29.8 : 9 = 40 : ?
30. 30.If 2 notebooks cost ₹20, how many rupees do 3 notebooks cost?
31. 31.A basket has 10 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 7 (b) 10 : 35 (c) 3 : 8 (d) 7 : 2
32. 32.1 : 2 = 5 : ?
33. 33.4 : 5 = ? : 30
34. 34.8 : 9 = ? : 72
35. 35.₹90 is shared between Sneha and Rahul in the ratio 1 : 8. How many rupees does Sneha get?
36. 36.Write the ratio 9 : 6 in its simplest form. (a) 2 : 3 (b) 9 : 6 (c) 3 : 2 (d) 4 : 3
37. 37.Write the ratio 15 : 18 in its simplest form. (a) 6 : 7 (b) 15 : 18 (c) 6 : 5 (d) 5 : 6
38. 38.Write the ratio 35 : 40 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 35 : 40
39. 39.If 9 chocolates cost ₹45, how many rupees do 5 chocolates cost?
40. 40.Write the ratio 28 : 20 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 28 : 20

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