Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 2 · 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.₹900 is shared between Diya and Kavya in the ratio 2 : 7. How many rupees does Diya get?
2. 2.A basket has 4 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 4 : 2
3. 3.Write the ratio 45 : 36 in its simplest form. (a) 6 : 5 (b) 5 : 4 (c) 45 : 36 (d) 4 : 5
4. 4.₹1320 is shared between Meera and Aarav in the ratio 5 : 6. How many rupees does Meera get?
5. 5.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 2 hours?
6. 6.Are 12, 27, 32 and 75 in proportion? (a) Yes (b) No
7. 7.4 : 9 = 12 : ?
8. 8.Are 6, 14, 27 and 63 in proportion? (a) No (b) Yes
9. 9.If 9 mangoes cost ₹117, how many rupees do 4 mangoes cost?
10. 10.₹1260 is shared between Rohan and Zoya in the ratio 5 : 9. How many rupees does Rohan get?
11. 11.₹1950 is shared between Vivaan and Ishaan in the ratio 5 : 8. How many rupees does Vivaan get?
12. 12.Write the ratio 20 : 4 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 20 : 4 (d) 5 : 1
13. 13.3 : 8 = 27 : ?
14. 14.A library shelf has 30 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 30 : 5 (d) 6 : 1
15. 15.₹180 is shared between Zoya and Kabir in the ratio 1 : 8. How many rupees does Zoya get?
16. 16.Write the ratio 21 : 24 in its simplest form. (a) 7 : 8 (b) 8 : 7 (c) 8 : 9 (d) 21 : 24
17. 17.Write the ratio 7 : 14 in its simplest form. (a) 1 : 2 (b) 7 : 14 (c) 2 : 1 (d) 2 : 3
18. 18.Write the ratio 9 : 63 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 9 : 63 (d) 1 : 7
19. 19.Are 3, 18, 7 and 43 in proportion? (a) Yes (b) No
20. 20.If 9 bus tickets cost ₹189, how many rupees do 3 bus tickets cost?
21. 21.Write the ratio 45 : 20 in its simplest form. (a) 45 : 20 (b) 4 : 9 (c) 10 : 5 (d) 9 : 4
22. 22.Write the ratio 48 : 30 in its simplest form. (a) 9 : 6 (b) 5 : 8 (c) 8 : 5 (d) 48 : 30
23. 23.Are 4, 6, 12 and 18 in proportion? (a) No (b) Yes
24. 24.Write the ratio 24 : 32 in its simplest form. (a) 4 : 5 (b) 4 : 3 (c) 3 : 4 (d) 24 : 32
25. 25.Are 2, 14, 9 and 63 in proportion? (a) Yes (b) No
26. 26.Are 2, 4, 9 and 19 in proportion? (a) Yes (b) No
27. 27.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
28. 28.Write the ratio 35 : 25 in its simplest form. (a) 8 : 6 (b) 5 : 7 (c) 7 : 5 (d) 35 : 25
29. 29.3 : 4 = ? : 24
30. 30.8 : 9 = ? : 63
31. 31.₹1920 is shared between Meera and Gurpreet in the ratio 5 : 7. How many rupees does Meera get?
32. 32.If 4 bus tickets cost ₹124, how many rupees do 10 bus tickets cost?
33. 33.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
34. 34.A library shelf has 5 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 30 (b) 6 : 1 (c) 2 : 7 (d) 1 : 6
35. 35.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
36. 36.Write the ratio 63 : 81 in its simplest form. (a) 8 : 10 (b) 7 : 9 (c) 63 : 81 (d) 9 : 7
37. 37.A class has 10 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 5 (b) 6 : 8 (c) 10 : 14 (d) 5 : 7
38. 38.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
39. 39.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 1 hour?
40. 40.If 3 pens cost ₹171, how many rupees do 11 pens cost?

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