Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 232 · 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.Are 20, 35, 16 and 28 in proportion? (a) No (b) Yes
2. 2.₹1320 is shared between Saanvi and Gurpreet in the ratio 5 : 7. How many rupees does Saanvi get?
3. 3.₹360 is shared between Rahul and Isha in the ratio 1 : 2. How many rupees does Rahul get?
4. 4.If 3 notebooks cost ₹102, how many rupees do 2 notebooks cost?
5. 5.₹900 is shared between Meera and Ananya in the ratio 7 : 8. How many rupees does Ananya get?
6. 6.Write the ratio 8 : 14 in its simplest form. (a) 7 : 4 (b) 8 : 14 (c) 4 : 7 (d) 5 : 8
7. 7.3 : 4 = ? : 8
8. 8.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
9. 9.A basket has 4 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 18 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
10. 10.Write the ratio 54 : 6 in its simplest form. (a) 9 : 1 (b) 1 : 9 (c) 10 : 2 (d) 54 : 6
11. 11.If 3 mangoes cost ₹129, how many rupees do 9 mangoes cost?
12. 12.5 : 9 = 25 : ?
13. 13.Write the ratio 48 : 40 in its simplest form. (a) 7 : 6 (b) 48 : 40 (c) 5 : 6 (d) 6 : 5
14. 14.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 8 hours?
15. 15.6 : 7 = ? : 70
16. 16.₹910 is shared between Ananya and Farhan in the ratio 2 : 5. How many rupees does Ananya get?
17. 17.Write the ratio 12 : 16 in its simplest form. (a) 3 : 4 (b) 4 : 5 (c) 12 : 16 (d) 4 : 3
18. 18.₹900 is shared between Sneha and Nisha in the ratio 2 : 7. How many rupees does Sneha get?
19. 19.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
20. 20.₹1650 is shared between Meera and Kavya in the ratio 2 : 9. How many rupees does Meera get?
21. 21.Write the ratio 40 : 8 in its simplest form. (a) 40 : 8 (b) 6 : 2 (c) 1 : 5 (d) 5 : 1
22. 22.1 : 8 = ? : 80
23. 23.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
24. 24.Are 6, 30, 3 and 16 in proportion? (a) Yes (b) No
25. 25.₹480 is shared between Karan and Rohan in the ratio 1 : 7. How many rupees does Karan get?
26. 26.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
27. 27.Write the ratio 21 : 6 in its simplest form. (a) 7 : 2 (b) 8 : 3 (c) 21 : 6 (d) 2 : 7
28. 28.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
29. 29.₹1170 is shared between Tara and Arjun in the ratio 1 : 8. How many rupees does Tara get?
30. 30.5 : 6 = 50 : ?
31. 31.Are 20, 35, 12 and 21 in proportion? (a) No (b) Yes
32. 32.A team has 36 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 36 : 27 (c) 3 : 4 (d) 5 : 4
33. 33.₹1330 is shared between Rahul and Saanvi in the ratio 1 : 6. How many rupees does Rahul get?
34. 34.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
35. 35.₹1440 is shared between Joseph and Lakshmi in the ratio 2 : 7. How many rupees does Lakshmi get?
36. 36.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 8 hours?
37. 37.Write the ratio 5 : 40 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 5 : 40
38. 38.Write the ratio 40 : 56 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 5 : 7 (d) 40 : 56
39. 39.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 2 hours?
40. 40.6 : 7 = ? : 14

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