Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 8 · 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 8 chocolates cost ₹128, how many rupees do 3 chocolates cost?
2. 2.Are 12, 16, 24 and 32 in proportion? (a) Yes (b) No
3. 3.Are 6, 8, 18 and 24 in proportion? (a) No (b) Yes
4. 4.Write the ratio 9 : 12 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 4 : 5 (d) 9 : 12
5. 5.A basket has 54 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 54 : 6 (b) 1 : 9 (c) 9 : 1 (d) 10 : 2
6. 6.If 4 chocolates cost ₹164, how many rupees do 2 chocolates cost?
7. 7.If 5 chocolates cost ₹195, how many rupees do 12 chocolates cost?
8. 8.If 9 ice creams cost ₹198, how many rupees do 3 ice creams cost?
9. 9.A team has 64 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 8 (b) 9 : 4 (c) 8 : 3 (d) 64 : 24
10. 10.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 8 hours?
11. 11.₹800 is shared between Aditya and Lakshmi in the ratio 1 : 9. How many rupees does Lakshmi get?
12. 12.2 : 3 = 4 : ?
13. 13.Are 6, 10, 9 and 18 in proportion? (a) No (b) Yes
14. 14.Are 6, 36, 3 and 18 in proportion? (a) No (b) Yes
15. 15.2 : 9 = ? : 54
16. 16.If 9 pens cost ₹225, how many rupees do 8 pens cost?
17. 17.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
18. 18.8 : 9 = ? : 36
19. 19.If 9 pens cost ₹270, how many rupees do 2 pens cost?
20. 20.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
21. 21.₹1440 is shared between Kavya and Riya in the ratio 1 : 7. How many rupees does Riya get?
22. 22.₹1280 is shared between Rohan and Karan in the ratio 7 : 9. How many rupees does Karan get?
23. 23.₹450 is shared between Priya and Rahul in the ratio 1 : 8. How many rupees does Rahul get?
24. 24.If 4 bus tickets cost ₹100, how many rupees do 12 bus tickets cost?
25. 25.3 : 8 = ? : 80
26. 26.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 5 hours?
27. 27.Are 20, 35, 28 and 50 in proportion? (a) Yes (b) No
28. 28.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
29. 29.Write the ratio 4 : 8 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 1 : 2 (d) 4 : 8
30. 30.Write the ratio 36 : 28 in its simplest form. (a) 7 : 9 (b) 36 : 28 (c) 10 : 8 (d) 9 : 7
31. 31.If 2 pens cost ₹32, how many rupees do 3 pens cost?
32. 32.₹1800 is shared between Diya and Nisha in the ratio 5 : 7. How many rupees does Nisha get?
33. 33.If 2 bus tickets cost ₹38, how many rupees do 7 bus tickets cost?
34. 34.3 : 4 = ? : 32
35. 35.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
36. 36.A team has 21 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 21 : 6 (b) 2 : 7 (c) 7 : 2 (d) 8 : 3
37. 37.Write the ratio 72 : 81 in its simplest form. (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 72 : 81
38. 38.₹60 is shared between Joseph and Rahul in the ratio 1 : 2. How many rupees does Rahul get?
39. 39.Write the ratio 32 : 56 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 5 : 8 (d) 32 : 56
40. 40.A class has 3 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 1 : 5 (d) 3 : 15

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