Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 109 · 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.If 4 bus tickets cost ₹100, how many rupees do 8 bus tickets cost?
2. 2.8 : 9 = ? : 81
3. 3.4 : 7 = 12 : ?
4. 4.If 2 pens cost ₹22, how many rupees do 7 pens cost?
5. 5.If 3 chocolates cost ₹129, how many rupees do 7 chocolates cost?
6. 6.A basket has 4 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 4 : 10
7. 7.If 9 notebooks cost ₹63, how many rupees do 12 notebooks cost?
8. 8.If 5 pens cost ₹255, how many rupees do 2 pens cost?
9. 9.2 : 5 = ? : 15
10. 10.7 : 8 = 35 : ?
11. 11.Are 12, 14, 24 and 28 in proportion? (a) No (b) Yes
12. 12.₹480 is shared between Isha and Tara in the ratio 1 : 5. How many rupees does Isha get?
13. 13.Write the ratio 30 : 35 in its simplest form. (a) 30 : 35 (b) 6 : 7 (c) 7 : 6 (d) 7 : 8
14. 14.₹2200 is shared between Rohan and Dev in the ratio 5 : 6. How many rupees does Dev get?
15. 15.₹1650 is shared between Vivaan and Nisha in the ratio 4 : 7. How many rupees does Nisha get?
16. 16.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 3 hours?
17. 17.Write the ratio 24 : 21 in its simplest form. (a) 24 : 21 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
18. 18.2 : 5 = 14 : ?
19. 19.Write the ratio 54 : 63 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 54 : 63 (d) 6 : 7
20. 20.Write the ratio 30 : 48 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 30 : 48 (d) 6 : 9
21. 21.Are 12, 21, 16 and 30 in proportion? (a) Yes (b) No
22. 22.If 2 ice creams cost ₹80, how many rupees do 11 ice creams cost?
23. 23.A box has 56 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 7 (b) 56 : 32 (c) 8 : 5 (d) 7 : 4
24. 24.Write the ratio 4 : 18 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 4 : 18
25. 25.Write the ratio 42 : 24 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 42 : 24 (d) 8 : 5
26. 26.Are 12, 15, 32 and 40 in proportion? (a) No (b) Yes
27. 27.If 7 notebooks cost ₹168, how many rupees do 11 notebooks cost?
28. 28.Are 4, 10, 16 and 40 in proportion? (a) Yes (b) No
29. 29.Write the ratio 40 : 45 in its simplest form. (a) 9 : 8 (b) 40 : 45 (c) 8 : 9 (d) 9 : 10
30. 30.₹1500 is shared between Karan and Arjun in the ratio 3 : 7. How many rupees does Arjun get?
31. 31.A team has 14 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 14 : 10 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
32. 32.Write the ratio 10 : 8 in its simplest form. (a) 6 : 5 (b) 10 : 8 (c) 5 : 4 (d) 4 : 5
33. 33.Are 25, 30, 15 and 18 in proportion? (a) No (b) Yes
34. 34.1 : 5 = ? : 30
35. 35.If 7 bus tickets cost ₹392, how many rupees do 2 bus tickets cost?
36. 36.1 : 5 = 4 : ?
37. 37.Write the ratio 63 : 54 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 63 : 54 (d) 6 : 7
38. 38.If 7 pens cost ₹168, how many rupees do 4 pens cost?
39. 39.If 8 chocolates cost ₹152, how many rupees do 4 chocolates cost?
40. 40.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 4 hours?

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