Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 228 · 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 45 : 20 in its simplest form. (a) 9 : 4 (b) 45 : 20 (c) 4 : 9 (d) 10 : 5
2. 2.A garden has 10 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 12 (b) 6 : 7 (c) 5 : 6 (d) 6 : 5
3. 3.1 : 8 = ? : 72
4. 4.1 : 5 = ? : 15
5. 5.3 : 5 = ? : 40
6. 6.3 : 4 = ? : 36
7. 7.If 9 bus tickets cost ₹252, how many rupees do 8 bus tickets cost?
8. 8.₹2380 is shared between Priya and Isha in the ratio 5 : 9. How many rupees does Priya get?
9. 9.Write the ratio 8 : 36 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 8 : 36 (d) 2 : 9
10. 10.Write the ratio 64 : 24 in its simplest form. (a) 64 : 24 (b) 3 : 8 (c) 9 : 4 (d) 8 : 3
11. 11.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
12. 12.If 5 notebooks cost ₹35, how many rupees do 8 notebooks cost?
13. 13.If 5 ice creams cost ₹275, how many rupees do 2 ice creams cost?
14. 14.A garden has 14 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 7 (b) 14 : 49 (c) 7 : 2 (d) 3 : 8
15. 15.Write the ratio 5 : 30 in its simplest form. (a) 5 : 30 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
16. 16.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
17. 17.Write the ratio 21 : 15 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 21 : 15 (d) 8 : 6
18. 18.3 : 8 = ? : 72
19. 19.A box has 7 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 4 : 1 (c) 7 : 28 (d) 1 : 4
20. 20.3 : 4 = 24 : ?
21. 21.Are 21, 24, 56 and 64 in proportion? (a) No (b) Yes
22. 22.₹840 is shared between Riya and Rahul in the ratio 3 : 4. How many rupees does Riya get?
23. 23.If 4 notebooks cost ₹164, how many rupees do 6 notebooks cost?
24. 24.Write the ratio 9 : 45 in its simplest form. (a) 1 : 5 (b) 2 : 6 (c) 5 : 1 (d) 9 : 45
25. 25.If 2 pens cost ₹74, how many rupees do 6 pens cost?
26. 26.A basket has 63 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 2 (b) 10 : 3 (c) 63 : 14 (d) 2 : 9
27. 27.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 3 hours?
28. 28.5 : 8 = ? : 24
29. 29.1 : 3 = ? : 21
30. 30.A basket has 42 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 42 : 18 (b) 8 : 4 (c) 7 : 3 (d) 3 : 7
31. 31.8 : 9 = ? : 27
32. 32.Write the ratio 16 : 8 in its simplest form. (a) 1 : 2 (b) 2 : 1 (c) 16 : 8 (d) 3 : 2
33. 33.1 : 5 = 10 : ?
34. 34.A garden has 54 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 6 (b) 5 : 6 (c) 54 : 45 (d) 6 : 5
35. 35.Write the ratio 2 : 8 in its simplest form. (a) 2 : 8 (b) 1 : 4 (c) 4 : 1 (d) 2 : 5
36. 36.Write the ratio 12 : 28 in its simplest form. (a) 12 : 28 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
37. 37.₹480 is shared between Manav and Rohan in the ratio 5 : 7. How many rupees does Manav get?
38. 38.3 : 7 = 18 : ?
39. 39.Write the ratio 14 : 35 in its simplest form. (a) 5 : 2 (b) 14 : 35 (c) 3 : 6 (d) 2 : 5
40. 40.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?

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