Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 189 · 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 3 : 18 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 3 : 18
2. 2.7 : 8 = ? : 32
3. 3.₹1170 is shared between Diya and Rahul in the ratio 4 : 9. How many rupees does Diya get?
4. 4.2 : 3 = 4 : ?
5. 5.Write the ratio 35 : 56 in its simplest form. (a) 6 : 9 (b) 35 : 56 (c) 5 : 8 (d) 8 : 5
6. 6.If 8 ice creams cost ₹160, how many rupees do 4 ice creams cost?
7. 7.Are 8, 18, 24 and 54 in proportion? (a) Yes (b) No
8. 8.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
9. 9.Write the ratio 7 : 14 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 7 : 14
10. 10.A garden has 42 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 42 : 54 (d) 9 : 7
11. 11.Write the ratio 35 : 20 in its simplest form. (a) 35 : 20 (b) 8 : 5 (c) 7 : 4 (d) 4 : 7
12. 12.1 : 2 = ? : 4
13. 13.3 : 7 = ? : 42
14. 14.A box has 21 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 21 : 28 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
15. 15.1 : 7 = 8 : ?
16. 16.Write the ratio 64 : 40 in its simplest form. (a) 5 : 8 (b) 64 : 40 (c) 8 : 5 (d) 9 : 6
17. 17.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
18. 18.Are 3, 6, 4 and 8 in proportion? (a) No (b) Yes
19. 19.A library shelf has 63 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 63 : 54 (c) 6 : 7 (d) 7 : 6
20. 20.Write the ratio 32 : 36 in its simplest form. (a) 9 : 8 (b) 9 : 10 (c) 32 : 36 (d) 8 : 9
21. 21.1 : 3 = 3 : ?
22. 22.Write the ratio 8 : 28 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 2 : 7 (d) 8 : 28
23. 23.1 : 4 = ? : 36
24. 24.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 7 hours?
25. 25.If 3 notebooks cost ₹12, how many rupees do 4 notebooks cost?
26. 26.Write the ratio 21 : 15 in its simplest form. (a) 7 : 5 (b) 21 : 15 (c) 8 : 6 (d) 5 : 7
27. 27.A basket has 25 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 25 : 15 (b) 5 : 3 (c) 3 : 5 (d) 6 : 4
28. 28.2 : 7 = ? : 49
29. 29.Write the ratio 36 : 30 in its simplest form. (a) 5 : 6 (b) 7 : 6 (c) 6 : 5 (d) 36 : 30
30. 30.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
31. 31.A basket has 20 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 4 (b) 20 : 15 (c) 3 : 4 (d) 4 : 3
32. 32.₹2090 is shared between Lakshmi and Rahul in the ratio 5 : 6. How many rupees does Lakshmi get?
33. 33.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
34. 34.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 2 hours?
35. 35.₹1300 is shared between Aarav and Priya in the ratio 1 : 9. How many rupees does Aarav get?
36. 36.1 : 9 = ? : 27
37. 37.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 2 hours?
38. 38.Are 30, 48, 20 and 32 in proportion? (a) Yes (b) No
39. 39.₹1100 is shared between Rohan and Priya in the ratio 4 : 7. How many rupees does Rohan get?
40. 40.If 4 notebooks cost ₹104, how many rupees do 10 notebooks cost?

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