Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 36 · 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 4, 8, 3 and 7 in proportion? (a) Yes (b) No
2. 2.Are 3, 9, 4 and 12 in proportion? (a) No (b) Yes
3. 3.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 3 hours?
4. 4.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
5. 5.A box has 40 red pens and 5 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 40 : 5 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
6. 6.3 : 7 = ? : 14
7. 7.Write the ratio 15 : 3 in its simplest form. (a) 6 : 2 (b) 15 : 3 (c) 1 : 5 (d) 5 : 1
8. 8.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
9. 9.Write the ratio 8 : 40 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 8 : 40
10. 10.A class has 48 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 6 (b) 6 : 5 (c) 5 : 6 (d) 48 : 40
11. 11.₹1190 is shared between Arjun and Tara in the ratio 8 : 9. How many rupees does Arjun get?
12. 12.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
13. 13.If 3 notebooks cost ₹144, how many rupees do 10 notebooks cost?
14. 14.1 : 5 = ? : 15
15. 15.Write the ratio 14 : 18 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 14 : 18 (d) 7 : 9
16. 16.A basket has 6 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 6 : 2
17. 17.Write the ratio 9 : 54 in its simplest form. (a) 9 : 54 (b) 1 : 6 (c) 2 : 7 (d) 6 : 1
18. 18.₹880 is shared between Aditya and Gurpreet in the ratio 3 : 5. How many rupees does Gurpreet get?
19. 19.If 7 notebooks cost ₹35, how many rupees do 6 notebooks cost?
20. 20.₹1000 is shared between Karan and Dev in the ratio 2 : 3. How many rupees does Karan get?
21. 21.2 : 9 = ? : 27
22. 22.A class has 20 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 16 (b) 4 : 5 (c) 5 : 4 (d) 6 : 5
23. 23.Write the ratio 9 : 3 in its simplest form. (a) 9 : 3 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
24. 24.A team has 12 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 12 : 27 (b) 5 : 10 (c) 4 : 9 (d) 9 : 4
25. 25.A team has 6 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 14 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
26. 26.Write the ratio 40 : 45 in its simplest form. (a) 9 : 10 (b) 8 : 9 (c) 40 : 45 (d) 9 : 8
27. 27.Are 8, 14, 36 and 64 in proportion? (a) Yes (b) No
28. 28.If 4 pens cost ₹216, how many rupees do 5 pens cost?
29. 29.4 : 5 = ? : 10
30. 30.2 : 5 = 12 : ?
31. 31.A class has 42 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 42 : 12 (b) 2 : 7 (c) 8 : 3 (d) 7 : 2
32. 32.If 7 pens cost ₹147, how many rupees do 2 pens cost?
33. 33.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Are 12, 28, 24 and 57 in proportion? (a) No (b) Yes
35. 35.₹700 is shared between Joseph and Dev in the ratio 1 : 9. How many rupees does Dev get?
36. 36.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
37. 37.2 : 5 = 14 : ?
38. 38.4 : 5 = ? : 20
39. 39.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 3 hours?
40. 40.If 4 pens cost ₹180, how many rupees do 9 pens cost?

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