Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 369 · 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 3 : 12 in its simplest form. (a) 4 : 1 (b) 3 : 12 (c) 1 : 4 (d) 2 : 5
2. 2.Are 18, 21, 54 and 63 in proportion? (a) No (b) Yes
3. 3.₹150 is shared between Riya and Farhan in the ratio 7 : 8. How many rupees does Riya get?
4. 4.₹330 is shared between Farhan and Joseph in the ratio 5 : 6. How many rupees does Farhan get?
5. 5.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
6. 6.If 3 bus tickets cost ₹114, how many rupees do 9 bus tickets cost?
7. 7.Write the ratio 24 : 27 in its simplest form. (a) 9 : 10 (b) 8 : 9 (c) 24 : 27 (d) 9 : 8
8. 8.Are 20, 32, 25 and 42 in proportion? (a) No (b) Yes
9. 9.If 3 bus tickets cost ₹87, how many rupees do 11 bus tickets cost?
10. 10.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 4 hours?
11. 11.6 : 7 = 30 : ?
12. 12.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
13. 13.A team has 16 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 16 : 56 (b) 3 : 8 (c) 7 : 2 (d) 2 : 7
14. 14.A class has 63 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 63 : 56 (b) 10 : 9 (c) 8 : 9 (d) 9 : 8
15. 15.₹1360 is shared between Manav and Diya in the ratio 3 : 5. How many rupees does Diya get?
16. 16.Write the ratio 25 : 10 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 6 : 3 (d) 25 : 10
17. 17.8 : 9 = ? : 36
18. 18.Are 20, 45, 8 and 21 in proportion? (a) No (b) Yes
19. 19.₹2210 is shared between Joseph and Vivaan in the ratio 5 : 8. How many rupees does Vivaan get?
20. 20.Write the ratio 2 : 4 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 2 : 4 (d) 2 : 3
21. 21.A team has 24 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 24 : 8 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
22. 22.A library shelf has 21 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 21 : 56 (c) 3 : 8 (d) 8 : 3
23. 23.₹440 is shared between Kabir and Vivaan in the ratio 3 : 8. How many rupees does Kabir get?
24. 24.Are 8, 14, 16 and 28 in proportion? (a) Yes (b) No
25. 25.₹2800 is shared between Rahul and Pooja in the ratio 5 : 9. How many rupees does Rahul get?
26. 26.₹270 is shared between Zoya and Priya in the ratio 1 : 8. How many rupees does Zoya get?
27. 27.Are 12, 28, 24 and 59 in proportion? (a) Yes (b) No
28. 28.Write the ratio 18 : 4 in its simplest form. (a) 9 : 2 (b) 10 : 3 (c) 2 : 9 (d) 18 : 4
29. 29.Write the ratio 27 : 21 in its simplest form. (a) 9 : 7 (b) 27 : 21 (c) 10 : 8 (d) 7 : 9
30. 30.3 : 7 = 9 : ?
31. 31.₹700 is shared between Joseph and Karan in the ratio 2 : 3. How many rupees does Joseph get?
32. 32.A team has 42 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 42 : 48 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
33. 33.Are 12, 27, 36 and 81 in proportion? (a) No (b) Yes
34. 34.Write the ratio 7 : 21 in its simplest form. (a) 7 : 21 (b) 3 : 1 (c) 2 : 4 (d) 1 : 3
35. 35.Are 5, 30, 3 and 19 in proportion? (a) No (b) Yes
36. 36.A scooter goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
37. 37.If 7 chocolates cost ₹63, how many rupees do 3 chocolates cost?
38. 38.7 : 8 = ? : 16
39. 39.Write the ratio 48 : 18 in its simplest form. (a) 48 : 18 (b) 9 : 4 (c) 8 : 3 (d) 3 : 8
40. 40.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?

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