Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 419 · 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 team has 4 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 4 : 12 (d) 1 : 3
2. 2.Are 5, 10, 4 and 11 in proportion? (a) Yes (b) No
3. 3.₹390 is shared between Diya and Zoya in the ratio 6 : 7. How many rupees does Zoya get?
4. 4.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
5. 5.2 : 3 = ? : 6
6. 6.₹2090 is shared between Diya and Manav in the ratio 4 : 7. How many rupees does Diya get?
7. 7.A library shelf has 81 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 9 (b) 9 : 8 (c) 81 : 72 (d) 8 : 9
8. 8.A basket has 40 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 6 : 3 (c) 5 : 2 (d) 40 : 16
9. 9.A library shelf has 42 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 42 : 36 (c) 7 : 6 (d) 6 : 7
10. 10.3 : 4 = ? : 24
11. 11.1 : 3 = 3 : ?
12. 12.₹1200 is shared between Kavya and Meera in the ratio 1 : 7. How many rupees does Kavya get?
13. 13.Write the ratio 27 : 45 in its simplest form. (a) 27 : 45 (b) 5 : 3 (c) 3 : 5 (d) 4 : 6
14. 14.Write the ratio 15 : 20 in its simplest form. (a) 15 : 20 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
15. 15.7 : 8 = 35 : ?
16. 16.A train goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
17. 17.1 : 7 = ? : 56
18. 18.A basket has 72 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 72 : 63 (d) 7 : 8
19. 19.Are 3, 21, 5 and 37 in proportion? (a) No (b) Yes
20. 20.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
21. 21.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
22. 22.₹1200 is shared between Manav and Karan in the ratio 3 : 5. How many rupees does Manav get?
23. 23.4 : 5 = 40 : ?
24. 24.If 5 bus tickets cost ₹155, how many rupees do 2 bus tickets cost?
25. 25.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 2 hours?
26. 26.Write the ratio 18 : 12 in its simplest form. (a) 4 : 3 (b) 18 : 12 (c) 3 : 2 (d) 2 : 3
27. 27.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
28. 28.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
29. 29.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 3 hours?
30. 30.3 : 4 = 6 : ?
31. 31.Are 16, 18, 48 and 57 in proportion? (a) No (b) Yes
32. 32.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
33. 33.If 5 notebooks cost ₹120, how many rupees do 12 notebooks cost?
34. 34.₹1000 is shared between Diya and Rohan in the ratio 2 : 3. How many rupees does Rohan get?
35. 35.Are 8, 12, 4 and 6 in proportion? (a) No (b) Yes
36. 36.₹1950 is shared between Gurpreet and Aarav in the ratio 4 : 9. How many rupees does Aarav get?
37. 37.Write the ratio 56 : 63 in its simplest form. (a) 56 : 63 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10
38. 38.₹70 is shared between Riya and Diya in the ratio 3 : 4. How many rupees does Diya get?
39. 39.₹2210 is shared between Kabir and Sneha in the ratio 6 : 7. How many rupees does Sneha get?
40. 40.Write the ratio 48 : 54 in its simplest form. (a) 48 : 54 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10

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