Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 179 · 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.Write the ratio 6 : 4 in its simplest form. (a) 6 : 4 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
2. 2.Write the ratio 72 : 63 in its simplest form. (a) 72 : 63 (b) 9 : 8 (c) 8 : 7 (d) 7 : 8
3. 3.Write the ratio 14 : 2 in its simplest form. (a) 1 : 7 (b) 7 : 1 (c) 8 : 2 (d) 14 : 2
4. 4.Write the ratio 12 : 6 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 12 : 6 (d) 2 : 1
5. 5.Write the ratio 63 : 81 in its simplest form. (a) 63 : 81 (b) 8 : 10 (c) 9 : 7 (d) 7 : 9
6. 6.Are 12, 16, 21 and 28 in proportion? (a) Yes (b) No
7. 7.Are 28, 32, 56 and 64 in proportion? (a) Yes (b) No
8. 8.2 : 3 = ? : 30
9. 9.Are 20, 28, 30 and 43 in proportion? (a) No (b) Yes
10. 10.Write the ratio 30 : 48 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 30 : 48 (d) 6 : 9
11. 11.7 : 8 = ? : 48
12. 12.₹450 is shared between Rahul and Aditya in the ratio 7 : 8. How many rupees does Rahul get?
13. 13.₹2090 is shared between Kabir and Isha in the ratio 2 : 9. How many rupees does Kabir get?
14. 14.Write the ratio 45 : 25 in its simplest form. (a) 45 : 25 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
15. 15.Are 8, 10, 24 and 31 in proportion? (a) Yes (b) No
16. 16.₹180 is shared between Aditya and Aarav in the ratio 4 : 5. How many rupees does Aarav get?
17. 17.If 6 ice creams cost ₹294, how many rupees do 2 ice creams cost?
18. 18.If 5 mangoes cost ₹90, how many rupees do 4 mangoes cost?
19. 19.If 8 mangoes cost ₹208, how many rupees do 12 mangoes cost?
20. 20.If 7 notebooks cost ₹56, how many rupees do 2 notebooks cost?
21. 21.3 : 7 = ? : 42
22. 22.₹270 is shared between Saanvi and Kavya in the ratio 2 : 7. How many rupees does Kavya get?
23. 23.₹170 is shared between Kavya and Ananya in the ratio 8 : 9. How many rupees does Kavya get?
24. 24.Write the ratio 6 : 30 in its simplest form. (a) 2 : 6 (b) 6 : 30 (c) 5 : 1 (d) 1 : 5
25. 25.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
26. 26.Write the ratio 20 : 15 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 5 : 4 (d) 20 : 15
27. 27.Write the ratio 2 : 16 in its simplest form. (a) 2 : 9 (b) 8 : 1 (c) 2 : 16 (d) 1 : 8
28. 28.A class has 63 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 6 (b) 5 : 9 (c) 9 : 5 (d) 63 : 35
29. 29.A class has 16 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 7 : 8 (c) 16 : 14 (d) 8 : 7
30. 30.1 : 5 = ? : 20
31. 31.A team has 2 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 2 : 7 (d) 2 : 12
32. 32.1 : 5 = 3 : ?
33. 33.A class has 72 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 72 : 56 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
34. 34.Are 3, 12, 7 and 28 in proportion? (a) Yes (b) No
35. 35.A team has 6 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 2 (b) 2 : 1 (c) 1 : 2 (d) 6 : 3
36. 36.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 6 hours?
37. 37.₹480 is shared between Lakshmi and Aarav in the ratio 1 : 3. How many rupees does Aarav get?
38. 38.5 : 8 = ? : 24
39. 39.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
40. 40.Write the ratio 4 : 36 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 4 : 36 (d) 2 : 10

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets