Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 97 · 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.Are 10, 15, 12 and 19 in proportion? (a) Yes (b) No
2. 2.Are 30, 48, 45 and 73 in proportion? (a) No (b) Yes
3. 3.Are 18, 42, 9 and 21 in proportion? (a) No (b) Yes
4. 4.Write the ratio 10 : 5 in its simplest form. (a) 1 : 2 (b) 3 : 2 (c) 10 : 5 (d) 2 : 1
5. 5.1 : 2 = 5 : ?
6. 6.Are 3, 6, 7 and 14 in proportion? (a) No (b) Yes
7. 7.4 : 7 = ? : 42
8. 8.₹1600 is shared between Rahul and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
9. 9.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 3 : 4 (c) 5 : 4 (d) 16 : 12
10. 10.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
11. 11.A library shelf has 21 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 8 : 2 (d) 21 : 3
12. 12.Write the ratio 63 : 14 in its simplest form. (a) 63 : 14 (b) 9 : 2 (c) 2 : 9 (d) 10 : 3
13. 13.1 : 5 = ? : 50
14. 14.7 : 8 = ? : 16
15. 15.A class has 9 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 63 (b) 1 : 7 (c) 2 : 8 (d) 7 : 1
16. 16.5 : 9 = 35 : ?
17. 17.A class has 8 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 48 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
18. 18.If 4 bus tickets cost ₹212, how many rupees do 7 bus tickets cost?
19. 19.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
20. 20.If 7 chocolates cost ₹385, how many rupees do 8 chocolates cost?
21. 21.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 8 hours?
22. 22.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
23. 23.If 6 mangoes cost ₹258, how many rupees do 12 mangoes cost?
24. 24.₹1170 is shared between Rahul and Zoya in the ratio 4 : 9. How many rupees does Zoya get?
25. 25.A team has 15 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 4 : 3 (c) 3 : 4 (d) 15 : 20
26. 26.₹2080 is shared between Dev and Isha in the ratio 6 : 7. How many rupees does Dev get?
27. 27.Are 18, 42, 15 and 37 in proportion? (a) Yes (b) No
28. 28.1 : 3 = ? : 18
29. 29.5 : 7 = 45 : ?
30. 30.A class has 12 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 8 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
31. 31.5 : 8 = ? : 40
32. 32.Write the ratio 21 : 7 in its simplest form. (a) 1 : 3 (b) 21 : 7 (c) 4 : 2 (d) 3 : 1
33. 33.If 4 notebooks cost ₹136, how many rupees do 8 notebooks cost?
34. 34.Write the ratio 36 : 32 in its simplest form. (a) 10 : 9 (b) 36 : 32 (c) 8 : 9 (d) 9 : 8
35. 35.A team has 10 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 10 : 15 (d) 3 : 4
36. 36.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 4 hours?
37. 37.5 : 9 = ? : 45
38. 38.3 : 4 = ? : 16
39. 39.Are 10, 16, 15 and 24 in proportion? (a) No (b) Yes
40. 40.If 5 ice creams cost ₹65, how many rupees do 6 ice creams cost?

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