Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 182 · 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 box has 3 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 12 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
2. 2.2 : 9 = ? : 36
3. 3.A team has 63 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 63 : 28
4. 4.Are 6, 14, 9 and 22 in proportion? (a) No (b) Yes
5. 5.₹360 is shared between Ishaan and Tara in the ratio 5 : 7. How many rupees does Tara get?
6. 6.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 8 hours?
7. 7.Are 8, 28, 14 and 49 in proportion? (a) Yes (b) No
8. 8.₹1700 is shared between Rahul and Isha in the ratio 1 : 9. How many rupees does Rahul get?
9. 9.If 8 ice creams cost ₹40, how many rupees do 10 ice creams cost?
10. 10.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
11. 11.If 5 notebooks cost ₹230, how many rupees do 12 notebooks cost?
12. 12.7 : 8 = 21 : ?
13. 13.If 7 pens cost ₹91, how many rupees do 3 pens cost?
14. 14.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
15. 15.Write the ratio 7 : 28 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 7 : 28
16. 16.Are 3, 15, 9 and 45 in proportion? (a) No (b) Yes
17. 17.If 7 chocolates cost ₹161, how many rupees do 4 chocolates cost?
18. 18.A team has 30 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 30 : 36 (d) 6 : 7
19. 19.If 5 pens cost ₹230, how many rupees do 9 pens cost?
20. 20.Write the ratio 20 : 15 in its simplest form. (a) 4 : 3 (b) 5 : 4 (c) 3 : 4 (d) 20 : 15
21. 21.₹480 is shared between Zoya and Gurpreet in the ratio 3 : 5. How many rupees does Zoya get?
22. 22.₹240 is shared between Nisha and Arjun in the ratio 1 : 7. How many rupees does Nisha get?
23. 23.Are 6, 48, 2 and 16 in proportion? (a) No (b) Yes
24. 24.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
25. 25.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
26. 26.If 9 notebooks cost ₹324, how many rupees do 6 notebooks cost?
27. 27.Are 6, 21, 14 and 52 in proportion? (a) Yes (b) No
28. 28.If 8 ice creams cost ₹376, how many rupees do 3 ice creams cost?
29. 29.If 8 pens cost ₹320, how many rupees do 3 pens cost?
30. 30.Write the ratio 12 : 6 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 12 : 6 (d) 3 : 2
31. 31.3 : 5 = 9 : ?
32. 32.Are 15, 18, 20 and 27 in proportion? (a) Yes (b) No
33. 33.If 3 chocolates cost ₹30, how many rupees do 10 chocolates cost?
34. 34.3 : 5 = ? : 25
35. 35.Write the ratio 18 : 42 in its simplest form. (a) 3 : 7 (b) 4 : 8 (c) 7 : 3 (d) 18 : 42
36. 36.If 7 chocolates cost ₹112, how many rupees do 3 chocolates cost?
37. 37.₹990 is shared between Farhan and Gurpreet in the ratio 2 : 7. How many rupees does Gurpreet get?
38. 38.A team has 30 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 4 (b) 30 : 18 (c) 3 : 5 (d) 5 : 3
39. 39.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 4 hours?
40. 40.A class has 27 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 8 (b) 27 : 21 (c) 9 : 7 (d) 7 : 9

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