Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 295 · 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.₹1520 is shared between Dev and Aditya in the ratio 1 : 7. How many rupees does Aditya get?
2. 2.₹160 is shared between Aarav and Zoya in the ratio 3 : 5. How many rupees does Aarav get?
3. 3.₹140 is shared between Lakshmi and Ishaan in the ratio 2 : 5. How many rupees does Lakshmi get?
4. 4.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 5 hours?
5. 5.7 : 9 = ? : 18
6. 6.2 : 9 = ? : 45
7. 7.₹130 is shared between Joseph and Aditya in the ratio 5 : 8. How many rupees does Aditya get?
8. 8.7 : 8 = ? : 56
9. 9.Write the ratio 8 : 32 in its simplest form. (a) 8 : 32 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
10. 10.A basket has 15 mangoes and 5 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 3 : 1 (c) 1 : 3 (d) 15 : 5
11. 11.1 : 7 = ? : 63
12. 12.Are 20, 32, 30 and 48 in proportion? (a) Yes (b) No
13. 13.₹1690 is shared between Joseph and Rahul in the ratio 5 : 8. How many rupees does Joseph get?
14. 14.Write the ratio 14 : 6 in its simplest form. (a) 8 : 4 (b) 14 : 6 (c) 3 : 7 (d) 7 : 3
15. 15.1 : 8 = 4 : ?
16. 16.A library shelf has 49 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 7 (b) 8 : 10 (c) 49 : 63 (d) 7 : 9
17. 17.Write the ratio 12 : 8 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 12 : 8
18. 18.1 : 6 = ? : 48
19. 19.A team has 35 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 5 : 6 (c) 6 : 5 (d) 35 : 42
20. 20.If 7 pens cost ₹273, how many rupees do 12 pens cost?
21. 21.Are 30, 35, 36 and 42 in proportion? (a) No (b) Yes
22. 22.Are 14, 16, 63 and 72 in proportion? (a) Yes (b) No
23. 23.If 8 mangoes cost ₹240, how many rupees do 2 mangoes cost?
24. 24.A basket has 63 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 8 : 5 (c) 63 : 36 (d) 7 : 4
25. 25.A garden has 24 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 24 : 4 (b) 6 : 1 (c) 7 : 2 (d) 1 : 6
26. 26.Are 18, 21, 42 and 49 in proportion? (a) No (b) Yes
27. 27.5 : 9 = ? : 63
28. 28.Are 3, 24, 9 and 73 in proportion? (a) Yes (b) No
29. 29.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
30. 30.Write the ratio 20 : 5 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 20 : 5 (d) 5 : 2
31. 31.A class has 9 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 9 : 24 (c) 4 : 9 (d) 3 : 8
32. 32.₹2550 is shared between Aditya and Zoya in the ratio 8 : 9. How many rupees does Zoya get?
33. 33.If 6 pens cost ₹342, how many rupees do 2 pens cost?
34. 34.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
35. 35.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 1 hour?
36. 36.A basket has 45 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 45 : 18 (c) 6 : 3 (d) 5 : 2
37. 37.Write the ratio 18 : 63 in its simplest form. (a) 18 : 63 (b) 7 : 2 (c) 2 : 7 (d) 3 : 8
38. 38.If 4 pens cost ₹72, how many rupees do 10 pens cost?
39. 39.₹2080 is shared between Tara and Farhan in the ratio 7 : 9. How many rupees does Tara get?
40. 40.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?

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