Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 5 · 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.If 8 pens cost ₹48, how many rupees do 5 pens cost?
2. 2.If 4 bus tickets cost ₹124, how many rupees do 7 bus tickets cost?
3. 3.If 5 mangoes cost ₹85, how many rupees do 2 mangoes cost?
4. 4.Write the ratio 64 : 56 in its simplest form. (a) 8 : 7 (b) 64 : 56 (c) 9 : 8 (d) 7 : 8
5. 5.A garden has 12 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 2 (b) 12 : 42 (c) 2 : 7 (d) 3 : 8
6. 6.₹1100 is shared between Tara and Rahul in the ratio 2 : 9. How many rupees does Tara get?
7. 7.Write the ratio 24 : 18 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 5 : 4 (d) 24 : 18
8. 8.Are 18, 21, 42 and 51 in proportion? (a) No (b) Yes
9. 9.4 : 5 = 40 : ?
10. 10.1 : 3 = ? : 30
11. 11.4 : 9 = 28 : ?
12. 12.Write the ratio 16 : 72 in its simplest form. (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 16 : 72
13. 13.Are 15, 27, 40 and 75 in proportion? (a) Yes (b) No
14. 14.Are 42, 48, 28 and 32 in proportion? (a) Yes (b) No
15. 15.8 : 9 = ? : 36
16. 16.Are 5, 30, 2 and 12 in proportion? (a) No (b) Yes
17. 17.₹1200 is shared between Meera and Ananya in the ratio 1 : 5. How many rupees does Ananya get?
18. 18.₹360 is shared between Diya and Rahul in the ratio 1 : 3. How many rupees does Diya get?
19. 19.2 : 7 = ? : 42
20. 20.A team has 49 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 5 (b) 49 : 35 (c) 5 : 7 (d) 8 : 6
21. 21.If 6 notebooks cost ₹126, how many rupees do 7 notebooks cost?
22. 22.Write the ratio 56 : 63 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 56 : 63 (d) 9 : 10
23. 23.Write the ratio 16 : 28 in its simplest form. (a) 16 : 28 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
24. 24.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 4 hours?
25. 25.4 : 9 = ? : 72
26. 26.Write the ratio 4 : 2 in its simplest form. (a) 4 : 2 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2
27. 27.Are 3, 18, 9 and 56 in proportion? (a) No (b) Yes
28. 28.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 7 hours?
29. 29.4 : 5 = 8 : ?
30. 30.Write the ratio 81 : 18 in its simplest form. (a) 10 : 3 (b) 81 : 18 (c) 9 : 2 (d) 2 : 9
31. 31.A garden has 10 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 4 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
32. 32.If 3 notebooks cost ₹15, how many rupees do 4 notebooks cost?
33. 33.6 : 7 = 42 : ?
34. 34.If 8 chocolates cost ₹296, how many rupees do 9 chocolates cost?
35. 35.1 : 8 = ? : 24
36. 36.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
37. 37.Write the ratio 8 : 10 in its simplest form. (a) 5 : 6 (b) 8 : 10 (c) 5 : 4 (d) 4 : 5
38. 38.Are 6, 10, 12 and 20 in proportion? (a) Yes (b) No
39. 39.Write the ratio 6 : 18 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 6 : 18 (d) 3 : 1
40. 40.A class has 12 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 3 (b) 4 : 8 (c) 12 : 28 (d) 3 : 7

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