Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 61 · 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.Write the ratio 56 : 35 in its simplest form. (a) 56 : 35 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
2. 2.Are 3, 21, 4 and 30 in proportion? (a) No (b) Yes
3. 3.A box has 9 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 21 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
4. 4.Are 9, 24, 12 and 33 in proportion? (a) Yes (b) No
5. 5.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
6. 6.3 : 5 = 6 : ?
7. 7.Write the ratio 28 : 16 in its simplest form. (a) 8 : 5 (b) 4 : 7 (c) 28 : 16 (d) 7 : 4
8. 8.A basket has 2 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 2 : 4 (c) 3 : 1 (d) 1 : 3
9. 9.If 6 mangoes cost ₹324, how many rupees do 4 mangoes cost?
10. 10.Are 25, 45, 35 and 63 in proportion? (a) Yes (b) No
11. 11.A library shelf has 56 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 8 : 3 (c) 56 : 21 (d) 3 : 8
12. 12.1 : 3 = ? : 24
13. 13.Write the ratio 25 : 40 in its simplest form. (a) 8 : 5 (b) 6 : 9 (c) 25 : 40 (d) 5 : 8
14. 14.Are 4, 20, 6 and 30 in proportion? (a) No (b) Yes
15. 15.2 : 3 = 4 : ?
16. 16.A team has 56 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 9 : 7 (d) 56 : 72
17. 17.Are 5, 15, 6 and 21 in proportion? (a) Yes (b) No
18. 18.Are 9, 15, 18 and 32 in proportion? (a) No (b) Yes
19. 19.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 2 hours?
20. 20.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
21. 21.If 5 pens cost ₹215, how many rupees do 6 pens cost?
22. 22.3 : 5 = ? : 45
23. 23.If 7 mangoes cost ₹350, how many rupees do 2 mangoes cost?
24. 24.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 5 hours?
25. 25.If 9 notebooks cost ₹99, how many rupees do 2 notebooks cost?
26. 26.Are 6, 48, 8 and 64 in proportion? (a) Yes (b) No
27. 27.Write the ratio 30 : 36 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 30 : 36 (d) 5 : 6
28. 28.Write the ratio 36 : 63 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 5 : 8 (d) 36 : 63
29. 29.If 9 ice creams cost ₹54, how many rupees do 3 ice creams cost?
30. 30.5 : 7 = ? : 70
31. 31.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
32. 32.Are 42, 48, 14 and 16 in proportion? (a) No (b) Yes
33. 33.₹1190 is shared between Lakshmi and Farhan in the ratio 2 : 5. How many rupees does Farhan get?
34. 34.1 : 6 = 7 : ?
35. 35.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
36. 36.₹540 is shared between Joseph and Diya in the ratio 4 : 5. How many rupees does Diya get?
37. 37.A team has 54 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 9 (b) 10 : 8 (c) 54 : 42 (d) 9 : 7
38. 38.Write the ratio 15 : 3 in its simplest form. (a) 15 : 3 (b) 1 : 5 (c) 5 : 1 (d) 6 : 2
39. 39.3 : 8 = 21 : ?
40. 40.₹660 is shared between Farhan and Kavya in the ratio 4 : 7. How many rupees does Farhan get?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets