Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 203 · 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.If 4 notebooks cost ₹200, how many rupees do 11 notebooks cost?
2. 2.Are 14, 18, 28 and 37 in proportion? (a) Yes (b) No
3. 3.5 : 6 = 40 : ?
4. 4.₹850 is shared between Lakshmi and Karan in the ratio 1 : 4. How many rupees does Lakshmi get?
5. 5.Write the ratio 24 : 54 in its simplest form. (a) 5 : 10 (b) 24 : 54 (c) 4 : 9 (d) 9 : 4
6. 6.Are 10, 35, 6 and 23 in proportion? (a) Yes (b) No
7. 7.₹1800 is shared between Ishaan and Dev in the ratio 1 : 9. How many rupees does Ishaan get?
8. 8.Are 6, 42, 5 and 37 in proportion? (a) Yes (b) No
9. 9.Write the ratio 14 : 8 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 14 : 8 (d) 8 : 5
10. 10.Write the ratio 63 : 14 in its simplest form. (a) 10 : 3 (b) 63 : 14 (c) 9 : 2 (d) 2 : 9
11. 11.If 5 ice creams cost ₹180, how many rupees do 4 ice creams cost?
12. 12.₹240 is shared between Kabir and Karan in the ratio 1 : 7. How many rupees does Kabir get?
13. 13.Are 28, 36, 56 and 74 in proportion? (a) Yes (b) No
14. 14.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
15. 15.2 : 9 = ? : 81
16. 16.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 3 : 10 (d) 14 : 63
17. 17.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
18. 18.Are 30, 54, 35 and 64 in proportion? (a) Yes (b) No
19. 19.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
20. 20.1 : 2 = ? : 10
21. 21.Write the ratio 4 : 18 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 2 : 9 (d) 4 : 18
22. 22.Write the ratio 7 : 42 in its simplest form. (a) 2 : 7 (b) 1 : 6 (c) 7 : 42 (d) 6 : 1
23. 23.A basket has 9 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 9 : 27 (c) 2 : 4 (d) 1 : 3
24. 24.7 : 9 = ? : 36
25. 25.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 2 hours?
26. 26.If 3 chocolates cost ₹177, how many rupees do 9 chocolates cost?
27. 27.If 5 chocolates cost ₹15, how many rupees do 4 chocolates cost?
28. 28.4 : 9 = ? : 81
29. 29.₹240 is shared between Priya and Gurpreet in the ratio 1 : 7. How many rupees does Gurpreet get?
30. 30.3 : 5 = ? : 50
31. 31.Are 6, 24, 7 and 29 in proportion? (a) Yes (b) No
32. 32.Write the ratio 18 : 63 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 18 : 63 (d) 2 : 7
33. 33.Write the ratio 54 : 6 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 54 : 6
34. 34.A class has 7 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 14 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
35. 35.A class has 10 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 6 (b) 6 : 4 (c) 5 : 3 (d) 3 : 5
36. 36.Write the ratio 36 : 27 in its simplest form. (a) 36 : 27 (b) 3 : 4 (c) 5 : 4 (d) 4 : 3
37. 37.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 1 hour?
39. 39.1 : 8 = ? : 32
40. 40.3 : 4 = ? : 24

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