Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 425 · 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 train goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
2. 2.Are 5, 25, 4 and 21 in proportion? (a) Yes (b) No
3. 3.Are 6, 15, 16 and 43 in proportion? (a) No (b) Yes
4. 4.3 : 5 = ? : 40
5. 5.1 : 9 = 4 : ?
6. 6.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 3 hours?
8. 8.If 9 notebooks cost ₹27, how many rupees do 7 notebooks cost?
9. 9.A team has 6 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 1 (b) 2 : 6 (c) 6 : 30 (d) 1 : 5
10. 10.Write the ratio 18 : 3 in its simplest form. (a) 7 : 2 (b) 1 : 6 (c) 6 : 1 (d) 18 : 3
11. 11.A library shelf has 4 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 6 (b) 4 : 20 (c) 1 : 5 (d) 5 : 1
12. 12.₹1050 is shared between Aditya and Rohan in the ratio 1 : 6. How many rupees does Rohan get?
13. 13.A basket has 12 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 12 : 27 (b) 9 : 4 (c) 4 : 9 (d) 5 : 10
14. 14.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
15. 15.₹950 is shared between Karan and Sneha in the ratio 2 : 3. How many rupees does Sneha get?
16. 16.Are 24, 30, 20 and 25 in proportion? (a) No (b) Yes
17. 17.₹220 is shared between Sneha and Aarav in the ratio 5 : 6. How many rupees does Aarav get?
18. 18.A train goes 240 km in 4 hours. At the same speed, how many km does it go in 7 hours?
19. 19.₹2470 is shared between Ananya and Lakshmi in the ratio 4 : 9. How many rupees does Ananya get?
20. 20.Write the ratio 10 : 16 in its simplest form. (a) 6 : 9 (b) 5 : 8 (c) 8 : 5 (d) 10 : 16
21. 21.Write the ratio 15 : 20 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 15 : 20 (d) 3 : 4
22. 22.5 : 9 = ? : 27
23. 23.Write the ratio 2 : 12 in its simplest form. (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 2 : 12
24. 24.₹700 is shared between Dev and Zoya in the ratio 2 : 3. How many rupees does Zoya get?
25. 25.A basket has 48 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 48 : 18 (b) 9 : 4 (c) 8 : 3 (d) 3 : 8
26. 26.4 : 9 = ? : 36
27. 27.1 : 2 = 10 : ?
28. 28.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 5 hours?
29. 29.Write the ratio 32 : 20 in its simplest form. (a) 32 : 20 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
30. 30.5 : 7 = 35 : ?
31. 31.A library shelf has 27 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 3 (b) 27 : 72 (c) 3 : 8 (d) 4 : 9
32. 32.5 : 7 = ? : 70
33. 33.₹90 is shared between Rohan and Tara in the ratio 1 : 8. How many rupees does Rohan get?
34. 34.₹1690 is shared between Joseph and Isha in the ratio 6 : 7. How many rupees does Joseph get?
35. 35.₹1300 is shared between Isha and Zoya in the ratio 1 : 9. How many rupees does Isha get?
36. 36.If 7 chocolates cost ₹119, how many rupees do 5 chocolates cost?
37. 37.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
38. 38.2 : 5 = ? : 45
39. 39.₹100 is shared between Arjun and Joseph in the ratio 1 : 4. How many rupees does Joseph get?
40. 40.₹770 is shared between Meera and Sneha in the ratio 1 : 6. How many rupees does Meera get?

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