Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 257 · 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 9 notebooks cost ₹459, how many rupees do 3 notebooks cost?
2. 2.1 : 8 = 9 : ?
3. 3.Write the ratio 18 : 2 in its simplest form. (a) 9 : 1 (b) 18 : 2 (c) 1 : 9 (d) 10 : 2
4. 4.₹1100 is shared between Arjun and Nisha in the ratio 4 : 7. How many rupees does Nisha get?
5. 5.Are 12, 32, 6 and 18 in proportion? (a) No (b) Yes
6. 6.If 6 chocolates cost ₹222, how many rupees do 3 chocolates cost?
7. 7.5 : 9 = 20 : ?
8. 8.A library shelf has 24 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 24 : 54 (d) 5 : 10
9. 9.Write the ratio 7 : 14 in its simplest form. (a) 7 : 14 (b) 1 : 2 (c) 2 : 3 (d) 2 : 1
10. 10.A class has 36 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 5 : 8 (c) 36 : 63 (d) 4 : 7
11. 11.Write the ratio 81 : 63 in its simplest form. (a) 81 : 63 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7
12. 12.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
13. 13.Write the ratio 6 : 9 in its simplest form. (a) 3 : 4 (b) 2 : 3 (c) 6 : 9 (d) 3 : 2
14. 14.If 3 notebooks cost ₹66, how many rupees do 9 notebooks cost?
15. 15.Are 25, 30, 35 and 43 in proportion? (a) Yes (b) No
16. 16.If 8 ice creams cost ₹264, how many rupees do 3 ice creams cost?
17. 17.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 6 hours?
18. 18.Write the ratio 81 : 18 in its simplest form. (a) 9 : 2 (b) 10 : 3 (c) 2 : 9 (d) 81 : 18
19. 19.2 : 7 = ? : 21
20. 20.If 8 notebooks cost ₹312, how many rupees do 3 notebooks cost?
21. 21.If 9 chocolates cost ₹513, how many rupees do 2 chocolates cost?
22. 22.Are 12, 15, 28 and 35 in proportion? (a) No (b) Yes
23. 23.Are 6, 9, 4 and 7 in proportion? (a) Yes (b) No
24. 24.A class has 48 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 48 : 42 (c) 9 : 8 (d) 7 : 8
25. 25.If 7 chocolates cost ₹49, how many rupees do 9 chocolates cost?
26. 26.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
27. 27.4 : 5 = 8 : ?
28. 28.Write the ratio 35 : 21 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 35 : 21 (d) 3 : 5
29. 29.Write the ratio 12 : 9 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 4 : 3 (d) 12 : 9
30. 30.6 : 7 = 12 : ?
31. 31.1 : 4 = 10 : ?
32. 32.Are 6, 14, 21 and 51 in proportion? (a) Yes (b) No
33. 33.₹70 is shared between Saanvi and Gurpreet in the ratio 1 : 6. How many rupees does Gurpreet get?
34. 34.₹350 is shared between Ishaan and Kavya in the ratio 1 : 4. How many rupees does Kavya get?
35. 35.Are 6, 10, 21 and 36 in proportion? (a) No (b) Yes
36. 36.Write the ratio 4 : 24 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 4 : 24 (d) 2 : 7
37. 37.Are 4, 8, 3 and 6 in proportion? (a) No (b) Yes
38. 38.Write the ratio 14 : 2 in its simplest form. (a) 14 : 2 (b) 7 : 1 (c) 1 : 7 (d) 8 : 2
39. 39.₹1080 is shared between Isha and Rahul in the ratio 1 : 5. How many rupees does Isha get?
40. 40.1 : 3 = ? : 12

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