Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 266 · 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. 1.8 : 9 = 48 : ?
2. 2.₹240 is shared between Lakshmi and Joseph in the ratio 1 : 5. How many rupees does Lakshmi get?
3. 3.₹420 is shared between Aarav and Vivaan in the ratio 2 : 5. How many rupees does Aarav get?
4. 4.Are 20, 36, 15 and 27 in proportion? (a) No (b) Yes
5. 5.If 4 mangoes cost ₹44, how many rupees do 2 mangoes cost?
6. 6.Are 10, 35, 18 and 63 in proportion? (a) No (b) Yes
7. 7.₹1700 is shared between Manav and Ananya in the ratio 1 : 9. How many rupees does Ananya get?
8. 8.A box has 24 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 3 (b) 24 : 40 (c) 4 : 6 (d) 3 : 5
9. 9.Write the ratio 45 : 9 in its simplest form. (a) 1 : 5 (b) 45 : 9 (c) 5 : 1 (d) 6 : 2
10. 10.If 2 bus tickets cost ₹114, how many rupees do 9 bus tickets cost?
11. 11.Are 10, 35, 4 and 14 in proportion? (a) Yes (b) No
12. 12.₹2100 is shared between Ananya and Arjun in the ratio 5 : 9. How many rupees does Ananya get?
13. 13.Are 12, 18, 4 and 8 in proportion? (a) No (b) Yes
14. 14.A basket has 6 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 2 : 3 (c) 2 : 1 (d) 6 : 12
15. 15.Are 10, 35, 8 and 30 in proportion? (a) Yes (b) No
16. 16.Write the ratio 32 : 8 in its simplest form. (a) 32 : 8 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1
17. 17.Are 15, 40, 9 and 24 in proportion? (a) No (b) Yes
18. 18.If 2 ice creams cost ₹98, how many rupees do 5 ice creams cost?
19. 19.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
20. 20.Write the ratio 4 : 24 in its simplest form. (a) 4 : 24 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
21. 21.A team has 30 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 5 : 3 (d) 30 : 18
22. 22.Are 10, 12, 40 and 51 in proportion? (a) No (b) Yes
23. 23.₹900 is shared between Karan and Vivaan in the ratio 4 : 5. How many rupees does Vivaan get?
24. 24.Write the ratio 24 : 28 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 24 : 28
25. 25.₹1000 is shared between Rahul and Diya in the ratio 1 : 9. How many rupees does Rahul get?
26. 26.Write the ratio 8 : 14 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 8 : 14 (d) 4 : 7
27. 27.8 : 9 = ? : 18
28. 28.Are 8, 20, 12 and 30 in proportion? (a) Yes (b) No
29. 29.Write the ratio 49 : 63 in its simplest form. (a) 8 : 10 (b) 49 : 63 (c) 7 : 9 (d) 9 : 7
30. 30.₹350 is shared between Meera and Zoya in the ratio 3 : 4. How many rupees does Zoya get?
31. 31.3 : 7 = ? : 21
32. 32.3 : 8 = 18 : ?
33. 33.A garden has 36 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 8 (b) 36 : 28 (c) 9 : 7 (d) 7 : 9
34. 34.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
35. 35.Write the ratio 72 : 40 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 72 : 40 (d) 9 : 5
36. 36.Are 30, 36, 25 and 30 in proportion? (a) Yes (b) No
37. 37.8 : 9 = ? : 45
38. 38.₹500 is shared between Gurpreet and Aditya in the ratio 3 : 7. How many rupees does Aditya get?
39. 39.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
40. 40.Are 16, 28, 24 and 42 in proportion? (a) No (b) Yes

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