Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 251 · 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.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 4 hours?
2. 2.₹280 is shared between Nisha and Ananya in the ratio 2 : 5. How many rupees does Nisha get?
3. 3.Are 6, 54, 8 and 73 in proportion? (a) No (b) Yes
4. 4.If 8 notebooks cost ₹432, how many rupees do 4 notebooks cost?
5. 5.A basket has 63 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 63 : 9 (d) 1 : 7
6. 6.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 6 hours?
7. 7.Write the ratio 16 : 4 in its simplest form. (a) 4 : 1 (b) 16 : 4 (c) 1 : 4 (d) 5 : 2
8. 8.A class has 12 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 6 (b) 5 : 3 (c) 3 : 5 (d) 12 : 20
9. 9.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 5 hours?
10. 10.Are 24, 54, 32 and 74 in proportion? (a) Yes (b) No
11. 11.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
12. 12.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 3 hours?
13. 13.If 8 mangoes cost ₹304, how many rupees do 12 mangoes cost?
14. 14.A box has 18 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 18 : 63 (c) 7 : 2 (d) 2 : 7
15. 15.A class has 49 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 49 : 7 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1
16. 16.1 : 3 = 10 : ?
17. 17.7 : 9 = 42 : ?
18. 18.If 7 pens cost ₹420, how many rupees do 4 pens cost?
19. 19.5 : 9 = ? : 27
20. 20.If 9 ice creams cost ₹27, how many rupees do 8 ice creams cost?
21. 21.Write the ratio 14 : 7 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 3 : 2 (d) 14 : 7
22. 22.Write the ratio 4 : 32 in its simplest form. (a) 2 : 9 (b) 4 : 32 (c) 1 : 8 (d) 8 : 1
23. 23.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
24. 24.Are 4, 28, 6 and 42 in proportion? (a) Yes (b) No
25. 25.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 7 hours?
26. 26.₹900 is shared between Dev and Aditya in the ratio 4 : 5. How many rupees does Aditya get?
27. 27.1 : 5 = 2 : ?
28. 28.Are 2, 6, 5 and 15 in proportion? (a) Yes (b) No
29. 29.Are 3, 6, 7 and 14 in proportion? (a) No (b) Yes
30. 30.₹1800 is shared between Priya and Tara in the ratio 1 : 8. How many rupees does Priya get?
31. 31.2 : 5 = ? : 35
32. 32.Are 24, 28, 30 and 35 in proportion? (a) No (b) Yes
33. 33.3 : 8 = ? : 16
34. 34.1 : 5 = ? : 25
35. 35.A class has 25 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 25 : 40 (d) 8 : 5
36. 36.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
37. 37.1 : 2 = ? : 14
38. 38.1 : 7 = ? : 28
39. 39.Are 6, 15, 8 and 21 in proportion? (a) No (b) Yes
40. 40.₹130 is shared between Nisha and Kavya in the ratio 6 : 7. How many rupees does Nisha get?

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