Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 239 · 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. 1.5 : 7 = 10 : ?
2. 2.Write the ratio 8 : 4 in its simplest form. (a) 2 : 1 (b) 3 : 2 (c) 1 : 2 (d) 8 : 4
3. 3.If 5 bus tickets cost ₹230, how many rupees do 7 bus tickets cost?
4. 4.A garden has 12 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 12 : 28 (c) 7 : 3 (d) 4 : 8
5. 5.1 : 4 = ? : 16
6. 6.₹980 is shared between Manav and Zoya in the ratio 3 : 4. How many rupees does Zoya get?
7. 7.3 : 4 = ? : 8
8. 8.₹780 is shared between Diya and Kabir in the ratio 4 : 9. How many rupees does Diya get?
9. 9.2 : 3 = 12 : ?
10. 10.1 : 2 = ? : 16
11. 11.Write the ratio 10 : 2 in its simplest form. (a) 10 : 2 (b) 5 : 1 (c) 6 : 2 (d) 1 : 5
12. 12.Write the ratio 35 : 40 in its simplest form. (a) 8 : 7 (b) 35 : 40 (c) 8 : 9 (d) 7 : 8
13. 13.A basket has 18 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 8 (b) 9 : 7 (c) 18 : 14 (d) 7 : 9
14. 14.Write the ratio 27 : 24 in its simplest form. (a) 8 : 9 (b) 27 : 24 (c) 10 : 9 (d) 9 : 8
15. 15.1 : 3 = 8 : ?
16. 16.A car goes 330 km in 6 hours. At the same speed, how many km does it go in 8 hours?
17. 17.5 : 9 = 35 : ?
18. 18.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 5 hours?
19. 19.1 : 3 = ? : 15
20. 20.Write the ratio 20 : 24 in its simplest form. (a) 20 : 24 (b) 5 : 6 (c) 6 : 5 (d) 6 : 7
21. 21.Write the ratio 9 : 81 in its simplest form. (a) 9 : 81 (b) 9 : 1 (c) 1 : 9 (d) 2 : 10
22. 22.Write the ratio 12 : 27 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 5 : 10 (d) 12 : 27
23. 23.If 3 bus tickets cost ₹114, how many rupees do 6 bus tickets cost?
24. 24.A class has 15 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 27 (b) 9 : 5 (c) 6 : 10 (d) 5 : 9
25. 25.Are 4, 12, 8 and 27 in proportion? (a) Yes (b) No
26. 26.4 : 5 = 8 : ?
27. 27.Write the ratio 18 : 4 in its simplest form. (a) 18 : 4 (b) 9 : 2 (c) 2 : 9 (d) 10 : 3
28. 28.1 : 5 = ? : 10
29. 29.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
30. 30.Are 12, 18, 4 and 6 in proportion? (a) Yes (b) No
31. 31.₹400 is shared between Arjun and Riya in the ratio 1 : 4. How many rupees does Arjun get?
32. 32.Are 12, 20, 15 and 25 in proportion? (a) No (b) Yes
33. 33.Write the ratio 12 : 32 in its simplest form. (a) 8 : 3 (b) 12 : 32 (c) 3 : 8 (d) 4 : 9
34. 34.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 7 hours?
35. 35.A basket has 54 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 54 : 30 (c) 9 : 5 (d) 10 : 6
36. 36.1 : 5 = ? : 20
37. 37.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 4 hours?
38. 38.₹420 is shared between Rahul and Diya in the ratio 1 : 6. How many rupees does Rahul get?
39. 39.Write the ratio 25 : 30 in its simplest form. (a) 25 : 30 (b) 5 : 6 (c) 6 : 7 (d) 6 : 5
40. 40.Are 3, 9, 6 and 18 in proportion? (a) No (b) Yes

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