Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 140 · 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.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 7 hours?
2. 2.If 9 chocolates cost ₹360, how many rupees do 5 chocolates cost?
3. 3.₹2380 is shared between Vivaan and Tara in the ratio 5 : 9. How many rupees does Vivaan get?
4. 4.1 : 6 = 4 : ?
5. 5.If 8 mangoes cost ₹104, how many rupees do 5 mangoes cost?
6. 6.₹3000 is shared between Arjun and Rahul in the ratio 7 : 8. How many rupees does Arjun get?
7. 7.₹1080 is shared between Aditya and Arjun in the ratio 1 : 5. How many rupees does Aditya get?
8. 8.A box has 15 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 18 (b) 5 : 6 (c) 6 : 5 (d) 6 : 7
9. 9.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
10. 10.Write the ratio 5 : 30 in its simplest form. (a) 5 : 30 (b) 2 : 7 (c) 1 : 6 (d) 6 : 1
11. 11.A team has 18 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 6 (b) 18 : 45 (c) 2 : 5 (d) 5 : 2
12. 12.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 4 hours?
13. 13.Write the ratio 28 : 36 in its simplest form. (a) 7 : 9 (b) 28 : 36 (c) 8 : 10 (d) 9 : 7
14. 14.1 : 5 = 9 : ?
15. 15.If 3 ice creams cost ₹21, how many rupees do 2 ice creams cost?
16. 16.₹2600 is shared between Ananya and Nisha in the ratio 5 : 8. How many rupees does Ananya get?
17. 17.4 : 9 = ? : 27
18. 18.If 4 chocolates cost ₹144, how many rupees do 9 chocolates cost?
19. 19.A box has 12 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 12 : 27 (c) 4 : 9 (d) 5 : 10
20. 20.Write the ratio 6 : 14 in its simplest form. (a) 4 : 8 (b) 3 : 7 (c) 6 : 14 (d) 7 : 3
21. 21.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
22. 22.Write the ratio 63 : 28 in its simplest form. (a) 4 : 9 (b) 10 : 5 (c) 9 : 4 (d) 63 : 28
23. 23.1 : 4 = 6 : ?
24. 24.₹910 is shared between Rahul and Diya in the ratio 4 : 9. How many rupees does Diya get?
25. 25.2 : 3 = ? : 30
26. 26.1 : 8 = 8 : ?
27. 27.A class has 16 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 16 : 18 (c) 8 : 9 (d) 9 : 10
28. 28.1 : 3 = ? : 21
29. 29.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
30. 30.Write the ratio 35 : 30 in its simplest form. (a) 6 : 7 (b) 35 : 30 (c) 8 : 7 (d) 7 : 6
31. 31.Write the ratio 18 : 6 in its simplest form. (a) 4 : 2 (b) 3 : 1 (c) 18 : 6 (d) 1 : 3
32. 32.If 4 chocolates cost ₹116, how many rupees do 6 chocolates cost?
33. 33.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
34. 34.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
35. 35.₹880 is shared between Karan and Arjun in the ratio 3 : 8. How many rupees does Arjun get?
36. 36.Write the ratio 36 : 20 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 36 : 20 (d) 9 : 5
37. 37.Are 6, 14, 9 and 21 in proportion? (a) No (b) Yes
38. 38.2 : 3 = ? : 6
39. 39.₹160 is shared between Meera and Dev in the ratio 3 : 5. How many rupees does Meera get?
40. 40.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?

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