Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 176 · 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 14 red pens and 7 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 2 (b) 2 : 1 (c) 1 : 2 (d) 14 : 7
2. 2.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
3. 3.Are 5, 20, 6 and 24 in proportion? (a) No (b) Yes
4. 4.A box has 6 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 10 (b) 2 : 9 (c) 9 : 2 (d) 6 : 27
5. 5.6 : 7 = 12 : ?
6. 6.Are 9, 21, 24 and 59 in proportion? (a) No (b) Yes
7. 7.Are 8, 36, 16 and 72 in proportion? (a) No (b) Yes
8. 8.₹560 is shared between Aarav and Diya in the ratio 3 : 5. How many rupees does Aarav get?
9. 9.Write the ratio 36 : 16 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 36 : 16 (d) 10 : 5
10. 10.If 7 chocolates cost ₹21, how many rupees do 9 chocolates cost?
11. 11.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
12. 12.If 8 chocolates cost ₹168, how many rupees do 9 chocolates cost?
13. 13.6 : 7 = ? : 28
14. 14.Are 8, 14, 12 and 23 in proportion? (a) Yes (b) No
15. 15.2 : 3 = 16 : ?
16. 16.1 : 3 = ? : 15
17. 17.3 : 8 = 18 : ?
18. 18.Write the ratio 35 : 45 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 35 : 45
19. 19.If 9 ice creams cost ₹135, how many rupees do 7 ice creams cost?
20. 20.Are 30, 42, 10 and 14 in proportion? (a) No (b) Yes
21. 21.2 : 5 = ? : 15
22. 22.If 9 pens cost ₹243, how many rupees do 12 pens cost?
23. 23.If 2 notebooks cost ₹90, how many rupees do 10 notebooks cost?
24. 24.Are 24, 54, 20 and 45 in proportion? (a) No (b) Yes
25. 25.A team has 56 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 56 : 63 (c) 9 : 10 (d) 8 : 9
26. 26.1 : 9 = 10 : ?
27. 27.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 6 hours?
28. 28.A box has 36 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 2 (b) 1 : 6 (c) 6 : 1 (d) 36 : 6
29. 29.Are 10, 14, 45 and 64 in proportion? (a) Yes (b) No
30. 30.If 3 notebooks cost ₹120, how many rupees do 8 notebooks cost?
31. 31.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
32. 32.Are 24, 27, 64 and 72 in proportion? (a) No (b) Yes
33. 33.A basket has 14 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 14 : 7 (d) 2 : 1
34. 34.Write the ratio 8 : 12 in its simplest form. (a) 2 : 3 (b) 8 : 12 (c) 3 : 2 (d) 3 : 4
35. 35.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
36. 36.1 : 2 = 8 : ?
37. 37.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 2 hours?
38. 38.Are 8, 14, 32 and 56 in proportion? (a) No (b) Yes
39. 39.₹2600 is shared between Rohan and Kavya in the ratio 6 : 7. How many rupees does Kavya get?
40. 40.A team has 8 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 10 (b) 5 : 6 (c) 5 : 4 (d) 4 : 5

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