Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 351 · 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 4 chocolates cost ₹72, how many rupees do 3 chocolates cost?
2. 2.Are 12, 16, 6 and 10 in proportion? (a) Yes (b) No
3. 3.If 2 bus tickets cost ₹76, how many rupees do 8 bus tickets cost?
4. 4.A team has 9 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 4 : 6 (d) 9 : 15
5. 5.₹1540 is shared between Pooja and Manav in the ratio 2 : 9. How many rupees does Pooja get?
6. 6.5 : 9 = 10 : ?
7. 7.Write the ratio 18 : 3 in its simplest form. (a) 6 : 1 (b) 18 : 3 (c) 1 : 6 (d) 7 : 2
8. 8.Are 4, 14, 8 and 28 in proportion? (a) No (b) Yes
9. 9.If 3 ice creams cost ₹132, how many rupees do 10 ice creams cost?
10. 10.₹390 is shared between Lakshmi and Diya in the ratio 6 : 7. How many rupees does Lakshmi get?
11. 11.2 : 3 = ? : 15
12. 12.Write the ratio 8 : 18 in its simplest form. (a) 9 : 4 (b) 8 : 18 (c) 5 : 10 (d) 4 : 9
13. 13.8 : 9 = ? : 27
14. 14.A basket has 40 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 40 : 72
15. 15.Are 18, 42, 24 and 58 in proportion? (a) No (b) Yes
16. 16.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
17. 17.Are 6, 15, 14 and 36 in proportion? (a) Yes (b) No
18. 18.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
19. 19.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
20. 20.Write the ratio 25 : 10 in its simplest form. (a) 6 : 3 (b) 25 : 10 (c) 2 : 5 (d) 5 : 2
21. 21.If 6 ice creams cost ₹282, how many rupees do 8 ice creams cost?
22. 22.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 1 hour?
23. 23.A library shelf has 15 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 15 : 5 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
24. 24.A team has 10 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 5 (b) 10 : 18 (c) 6 : 10 (d) 5 : 9
25. 25.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
26. 26.Write the ratio 5 : 10 in its simplest form. (a) 5 : 10 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
27. 27.5 : 8 = ? : 40
28. 28.1 : 9 = ? : 18
29. 29.2 : 7 = ? : 21
30. 30.6 : 7 = ? : 21
31. 31.Write the ratio 35 : 30 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 35 : 30 (d) 6 : 7
32. 32.If 9 pens cost ₹450, how many rupees do 6 pens cost?
33. 33.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
34. 34.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 5 hours?
35. 35.₹240 is shared between Kavya and Tara in the ratio 1 : 5. How many rupees does Tara get?
36. 36.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 8 hours?
37. 37.If 7 ice creams cost ₹35, how many rupees do 4 ice creams cost?
38. 38.Are 4, 18, 18 and 81 in proportion? (a) Yes (b) No
39. 39.If 5 notebooks cost ₹90, how many rupees do 8 notebooks cost?
40. 40.₹600 is shared between Diya and Ananya in the ratio 7 : 8. How many rupees does Diya get?

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