Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 268 · 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.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 4 : 3 (c) 5 : 4 (d) 16 : 12
2. 2.1 : 6 = ? : 24
3. 3.6 : 7 = ? : 28
4. 4.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 8 hours?
5. 5.A train goes 390 km in 6 hours. At the same speed, how many km does it go in 4 hours?
6. 6.4 : 5 = ? : 20
7. 7.Are 15, 21, 20 and 28 in proportion? (a) No (b) Yes
8. 8.7 : 8 = ? : 24
9. 9.Are 10, 15, 16 and 24 in proportion? (a) Yes (b) No
10. 10.A team has 20 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 5 (b) 20 : 12 (c) 6 : 4 (d) 5 : 3
11. 11.A basket has 7 mangoes and 49 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 49 (b) 7 : 1 (c) 1 : 7 (d) 2 : 8
12. 12.Are 2, 12, 9 and 56 in proportion? (a) Yes (b) No
13. 13.Write the ratio 6 : 21 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 6 : 21 (d) 2 : 7
14. 14.1 : 2 = ? : 4
15. 15.Are 8, 14, 12 and 21 in proportion? (a) Yes (b) No
16. 16.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
17. 17.2 : 3 = 4 : ?
18. 18.₹400 is shared between Joseph and Arjun in the ratio 3 : 5. How many rupees does Joseph get?
19. 19.A library shelf has 15 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 3 (b) 2 : 5 (c) 5 : 2 (d) 15 : 6
20. 20.Are 15, 21, 40 and 56 in proportion? (a) Yes (b) No
21. 21.Are 5, 40, 9 and 74 in proportion? (a) Yes (b) No
22. 22.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 3 hours?
23. 23.If 6 mangoes cost ₹36, how many rupees do 4 mangoes cost?
24. 24.₹600 is shared between Manav and Joseph in the ratio 2 : 3. How many rupees does Joseph get?
25. 25.If 7 bus tickets cost ₹147, how many rupees do 8 bus tickets cost?
26. 26.If 2 notebooks cost ₹82, how many rupees do 8 notebooks cost?
27. 27.If 5 pens cost ₹240, how many rupees do 8 pens cost?
28. 28.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
29. 29.₹1000 is shared between Isha and Kavya in the ratio 1 : 9. How many rupees does Isha get?
30. 30.Write the ratio 63 : 35 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 10 : 6 (d) 63 : 35
31. 31.A box has 24 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 18 (b) 3 : 4 (c) 4 : 3 (d) 5 : 4
32. 32.₹760 is shared between Dev and Rahul in the ratio 1 : 3. How many rupees does Dev get?
33. 33.Write the ratio 28 : 49 in its simplest form. (a) 5 : 8 (b) 4 : 7 (c) 28 : 49 (d) 7 : 4
34. 34.1 : 3 = 7 : ?
35. 35.Write the ratio 9 : 81 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 2 : 10 (d) 9 : 81
36. 36.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
37. 37.₹1280 is shared between Pooja and Ishaan in the ratio 3 : 5. How many rupees does Pooja get?
38. 38.Write the ratio 24 : 28 in its simplest form. (a) 24 : 28 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
39. 39.Write the ratio 3 : 12 in its simplest form. (a) 3 : 12 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
40. 40.If 6 mangoes cost ₹336, how many rupees do 4 mangoes cost?

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