Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 332 · 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 2, 14, 3 and 22 in proportion? (a) Yes (b) No
2. 2.A basket has 24 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 5 (b) 24 : 15 (c) 9 : 6 (d) 5 : 8
3. 3.3 : 8 = 15 : ?
4. 4.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 7 hours?
5. 5.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 2 hours?
6. 6.A basket has 72 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 72 : 56 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
7. 7.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
8. 8.A team has 4 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 4 (b) 4 : 6 (c) 2 : 3 (d) 3 : 2
9. 9.A basket has 21 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 4 : 2 (c) 21 : 7 (d) 3 : 1
10. 10.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 7 hours?
11. 11.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
12. 12.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
13. 13.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 6 hours?
14. 14.Are 2, 6, 6 and 18 in proportion? (a) No (b) Yes
15. 15.If 3 bus tickets cost ₹33, how many rupees do 2 bus tickets cost?
16. 16.3 : 5 = ? : 15
17. 17.If 5 chocolates cost ₹70, how many rupees do 2 chocolates cost?
18. 18.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 4 hours?
19. 19.Are 5, 30, 9 and 57 in proportion? (a) Yes (b) No
20. 20.3 : 5 = ? : 20
21. 21.₹220 is shared between Nisha and Isha in the ratio 2 : 9. How many rupees does Nisha get?
22. 22.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
23. 23.If 4 bus tickets cost ₹236, how many rupees do 3 bus tickets cost?
24. 24.1 : 9 = ? : 72
25. 25.3 : 7 = ? : 21
26. 26.If 9 pens cost ₹297, how many rupees do 6 pens cost?
27. 27.Write the ratio 2 : 4 in its simplest form. (a) 1 : 2 (b) 2 : 3 (c) 2 : 1 (d) 2 : 4
28. 28.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
29. 29.Are 4, 28, 3 and 22 in proportion? (a) No (b) Yes
30. 30.4 : 7 = ? : 14
31. 31.Are 10, 12, 40 and 50 in proportion? (a) No (b) Yes
32. 32.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
33. 33.If 7 notebooks cost ₹259, how many rupees do 10 notebooks cost?
34. 34.If 4 ice creams cost ₹176, how many rupees do 12 ice creams cost?
35. 35.4 : 5 = ? : 15
36. 36.₹550 is shared between Karan and Aarav in the ratio 4 : 7. How many rupees does Karan get?
37. 37.A library shelf has 7 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 1 (b) 7 : 28 (c) 2 : 5 (d) 1 : 4
38. 38.1 : 9 = ? : 54
39. 39.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
40. 40.Write the ratio 72 : 8 in its simplest form. (a) 10 : 2 (b) 72 : 8 (c) 9 : 1 (d) 1 : 9

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