Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 211 · 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 2 : 14 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 2 : 14 (d) 1 : 7
2. 2.A class has 7 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 7 : 56
3. 3.Are 8, 10, 12 and 15 in proportion? (a) No (b) Yes
4. 4.Write the ratio 9 : 12 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 9 : 12 (d) 4 : 5
5. 5.A team has 3 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 3 : 15 (d) 1 : 5
6. 6.₹480 is shared between Nisha and Riya in the ratio 1 : 3. How many rupees does Nisha get?
7. 7.1 : 8 = 4 : ?
8. 8.Are 3, 18, 6 and 38 in proportion? (a) Yes (b) No
9. 9.If 7 ice creams cost ₹259, how many rupees do 5 ice creams cost?
10. 10.Are 3, 21, 5 and 37 in proportion? (a) Yes (b) No
11. 11.A garden has 45 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 1 (b) 45 : 9 (c) 6 : 2 (d) 1 : 5
12. 12.A garden has 18 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 4 : 3 (c) 2 : 3 (d) 18 : 12
13. 13.A box has 49 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 49 : 21 (b) 7 : 3 (c) 8 : 4 (d) 3 : 7
14. 14.₹360 is shared between Diya and Rohan in the ratio 1 : 2. How many rupees does Diya get?
15. 15.Write the ratio 15 : 9 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 15 : 9
16. 16.Write the ratio 35 : 42 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 35 : 42 (d) 6 : 5
17. 17.Are 9, 15, 6 and 12 in proportion? (a) No (b) Yes
18. 18.5 : 9 = ? : 18
19. 19.6 : 7 = ? : 56
20. 20.Write the ratio 25 : 5 in its simplest form. (a) 25 : 5 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
21. 21.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
22. 22.1 : 5 = 3 : ?
23. 23.Write the ratio 36 : 9 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 5 : 2 (d) 36 : 9
24. 24.₹650 is shared between Zoya and Farhan in the ratio 5 : 8. How many rupees does Farhan get?
25. 25.If 3 mangoes cost ₹15, how many rupees do 7 mangoes cost?
26. 26.3 : 4 = ? : 16
27. 27.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 35 : 28 (d) 5 : 4
28. 28.If 7 bus tickets cost ₹238, how many rupees do 3 bus tickets cost?
29. 29.Are 42, 54, 21 and 27 in proportion? (a) Yes (b) No
30. 30.2 : 9 = 8 : ?
31. 31.₹340 is shared between Rohan and Tara in the ratio 8 : 9. How many rupees does Tara get?
32. 32.₹200 is shared between Meera and Pooja in the ratio 1 : 4. How many rupees does Meera get?
33. 33.Write the ratio 8 : 18 in its simplest form. (a) 8 : 18 (b) 5 : 10 (c) 4 : 9 (d) 9 : 4
34. 34.A scooter goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
35. 35.Are 20, 24, 40 and 48 in proportion? (a) No (b) Yes
36. 36.If 7 chocolates cost ₹343, how many rupees do 12 chocolates cost?
37. 37.Write the ratio 42 : 30 in its simplest form. (a) 5 : 7 (b) 42 : 30 (c) 7 : 5 (d) 8 : 6
38. 38.Are 18, 30, 27 and 45 in proportion? (a) No (b) Yes
39. 39.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 1 hour?
40. 40.Are 2, 4, 3 and 9 in proportion? (a) No (b) Yes

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