Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 208 · 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 3, 12, 8 and 32 in proportion? (a) Yes (b) No
2. 2.Write the ratio 35 : 7 in its simplest form. (a) 5 : 1 (b) 35 : 7 (c) 1 : 5 (d) 6 : 2
3. 3.Write the ratio 20 : 28 in its simplest form. (a) 5 : 7 (b) 20 : 28 (c) 7 : 5 (d) 6 : 8
4. 4.2 : 7 = 6 : ?
5. 5.Write the ratio 20 : 32 in its simplest form. (a) 6 : 9 (b) 8 : 5 (c) 20 : 32 (d) 5 : 8
6. 6.₹2210 is shared between Rohan and Joseph in the ratio 6 : 7. How many rupees does Rohan get?
7. 7.If 2 bus tickets cost ₹86, how many rupees do 11 bus tickets cost?
8. 8.A basket has 12 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 12 : 18 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3
9. 9.₹360 is shared between Isha and Kavya in the ratio 1 : 3. How many rupees does Isha get?
10. 10.5 : 7 = 45 : ?
11. 11.3 : 5 = ? : 10
12. 12.Write the ratio 2 : 8 in its simplest form. (a) 2 : 8 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
13. 13.If 7 notebooks cost ₹196, how many rupees do 3 notebooks cost?
14. 14.Write the ratio 6 : 14 in its simplest form. (a) 6 : 14 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
15. 15.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
16. 16.Write the ratio 16 : 24 in its simplest form. (a) 16 : 24 (b) 2 : 3 (c) 3 : 2 (d) 3 : 4
17. 17.Are 24, 28, 42 and 52 in proportion? (a) No (b) Yes
18. 18.Write the ratio 42 : 54 in its simplest form. (a) 42 : 54 (b) 9 : 7 (c) 7 : 9 (d) 8 : 10
19. 19.Write the ratio 63 : 7 in its simplest form. (a) 63 : 7 (b) 1 : 9 (c) 9 : 1 (d) 10 : 2
20. 20.Are 24, 27, 16 and 19 in proportion? (a) No (b) Yes
21. 21.8 : 9 = 56 : ?
22. 22.Write the ratio 10 : 8 in its simplest form. (a) 5 : 4 (b) 10 : 8 (c) 4 : 5 (d) 6 : 5
23. 23.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
24. 24.3 : 4 = ? : 36
25. 25.₹350 is shared between Vivaan and Meera in the ratio 2 : 5. How many rupees does Vivaan get?
26. 26.1 : 4 = 6 : ?
27. 27.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
28. 28.If 9 notebooks cost ₹216, how many rupees do 5 notebooks cost?
29. 29.A team has 16 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 16 : 72
30. 30.A basket has 4 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 1 (b) 4 : 16 (c) 1 : 4 (d) 2 : 5
31. 31.A class has 24 boys and 3 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 3 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
32. 32.Write the ratio 63 : 28 in its simplest form. (a) 63 : 28 (b) 4 : 9 (c) 9 : 4 (d) 10 : 5
33. 33.A library shelf has 16 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 36 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
34. 34.If 7 notebooks cost ₹105, how many rupees do 12 notebooks cost?
35. 35.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
36. 36.₹2550 is shared between Dev and Vivaan in the ratio 8 : 9. How many rupees does Vivaan get?
37. 37.Are 3, 9, 2 and 6 in proportion? (a) No (b) Yes
38. 38.If 9 ice creams cost ₹261, how many rupees do 6 ice creams cost?
39. 39.Are 2, 8, 3 and 12 in proportion? (a) Yes (b) No
40. 40.If 3 chocolates cost ₹93, how many rupees do 9 chocolates cost?

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