Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 245 · 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.Are 8, 20, 4 and 10 in proportion? (a) No (b) Yes
2. 2.If 3 ice creams cost ₹147, how many rupees do 6 ice creams cost?
3. 3.If 8 notebooks cost ₹64, how many rupees do 2 notebooks cost?
4. 4.A library shelf has 12 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 6 (b) 5 : 4 (c) 12 : 15 (d) 4 : 5
5. 5.3 : 7 = 27 : ?
6. 6.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.Are 4, 32, 3 and 24 in proportion? (a) Yes (b) No
8. 8.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 5 hours?
9. 9.Write the ratio 42 : 6 in its simplest form. (a) 7 : 1 (b) 8 : 2 (c) 42 : 6 (d) 1 : 7
10. 10.A class has 28 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 28 : 4 (d) 1 : 7
11. 11.₹910 is shared between Lakshmi and Gurpreet in the ratio 5 : 8. How many rupees does Lakshmi get?
12. 12.₹600 is shared between Riya and Zoya in the ratio 3 : 7. How many rupees does Riya get?
13. 13.Are 4, 16, 6 and 24 in proportion? (a) No (b) Yes
14. 14.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
15. 15.Write the ratio 45 : 35 in its simplest form. (a) 7 : 9 (b) 10 : 8 (c) 9 : 7 (d) 45 : 35
16. 16.Are 6, 15, 12 and 30 in proportion? (a) Yes (b) No
17. 17.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
18. 18.Write the ratio 30 : 18 in its simplest form. (a) 30 : 18 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
19. 19.2 : 7 = ? : 21
20. 20.₹2470 is shared between Aditya and Arjun in the ratio 5 : 8. How many rupees does Aditya get?
21. 21.1 : 3 = ? : 30
22. 22.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
23. 23.Are 2, 12, 7 and 42 in proportion? (a) Yes (b) No
24. 24.Write the ratio 18 : 24 in its simplest form. (a) 3 : 4 (b) 18 : 24 (c) 4 : 3 (d) 4 : 5
25. 25.Write the ratio 45 : 27 in its simplest form. (a) 45 : 27 (b) 3 : 5 (c) 5 : 3 (d) 6 : 4
26. 26.If 9 ice creams cost ₹54, how many rupees do 5 ice creams cost?
27. 27.A class has 7 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 7 : 56
28. 28.If 3 ice creams cost ₹84, how many rupees do 2 ice creams cost?
29. 29.Are 8, 28, 14 and 51 in proportion? (a) No (b) Yes
30. 30.Write the ratio 18 : 4 in its simplest form. (a) 10 : 3 (b) 18 : 4 (c) 2 : 9 (d) 9 : 2
31. 31.Write the ratio 28 : 20 in its simplest form. (a) 5 : 7 (b) 28 : 20 (c) 7 : 5 (d) 8 : 6
32. 32.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
33. 33.Write the ratio 36 : 28 in its simplest form. (a) 10 : 8 (b) 9 : 7 (c) 7 : 9 (d) 36 : 28
34. 34.Are 10, 15, 4 and 9 in proportion? (a) Yes (b) No
35. 35.Are 18, 21, 30 and 35 in proportion? (a) Yes (b) No
36. 36.Write the ratio 21 : 18 in its simplest form. (a) 21 : 18 (b) 6 : 7 (c) 8 : 7 (d) 7 : 6
37. 37.Are 12, 14, 24 and 28 in proportion? (a) Yes (b) No
38. 38.A scooter goes 200 km in 5 hours. At the same speed, how many km does it go in 4 hours?
39. 39.If 9 chocolates cost ₹135, how many rupees do 8 chocolates cost?
40. 40.₹1820 is shared between Kabir and Lakshmi in the ratio 5 : 9. How many rupees does Kabir get?

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