Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 363 · 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 class has 49 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 49 : 14 (c) 7 : 2 (d) 2 : 7
2. 2.If 5 mangoes cost ₹120, how many rupees do 7 mangoes cost?
3. 3.Are 12, 20, 24 and 41 in proportion? (a) No (b) Yes
4. 4.1 : 2 = ? : 12
5. 5.₹1400 is shared between Sneha and Rohan in the ratio 3 : 4. How many rupees does Sneha get?
6. 6.1 : 8 = ? : 64
7. 7.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
8. 8.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
9. 9.₹160 is shared between Pooja and Joseph in the ratio 1 : 3. How many rupees does Pooja get?
10. 10.Write the ratio 24 : 21 in its simplest form. (a) 8 : 7 (b) 24 : 21 (c) 9 : 8 (d) 7 : 8
11. 11.If 8 bus tickets cost ₹336, how many rupees do 9 bus tickets cost?
12. 12.₹1900 is shared between Lakshmi and Saanvi in the ratio 3 : 7. How many rupees does Saanvi get?
13. 13.2 : 7 = 14 : ?
14. 14.Are 25, 35, 40 and 59 in proportion? (a) No (b) Yes
15. 15.Are 8, 28, 18 and 63 in proportion? (a) Yes (b) No
16. 16.If 6 pens cost ₹150, how many rupees do 11 pens cost?
17. 17.If 6 notebooks cost ₹162, how many rupees do 4 notebooks cost?
18. 18.Write the ratio 8 : 6 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 4 : 3 (d) 8 : 6
19. 19.A library shelf has 40 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 5 (b) 5 : 6 (c) 6 : 7 (d) 40 : 48
20. 20.Are 14, 18, 28 and 37 in proportion? (a) No (b) Yes
21. 21.8 : 9 = 80 : ?
22. 22.2 : 7 = 20 : ?
23. 23.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
24. 24.Write the ratio 28 : 49 in its simplest form. (a) 28 : 49 (b) 4 : 7 (c) 5 : 8 (d) 7 : 4
25. 25.Write the ratio 10 : 4 in its simplest form. (a) 2 : 5 (b) 10 : 4 (c) 6 : 3 (d) 5 : 2
26. 26.A team has 42 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 42 : 18 (b) 3 : 7 (c) 8 : 4 (d) 7 : 3
27. 27.Are 42, 48, 21 and 25 in proportion? (a) Yes (b) No
28. 28.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 8 hours?
29. 29.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
30. 30.6 : 7 = ? : 21
31. 31.4 : 7 = ? : 49
32. 32.3 : 5 = ? : 15
33. 33.₹780 is shared between Saanvi and Manav in the ratio 6 : 7. How many rupees does Saanvi get?
34. 34.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
35. 35.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 7 hours?
36. 36.A basket has 9 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 3 (b) 9 : 21 (c) 3 : 7 (d) 4 : 8
37. 37.₹1200 is shared between Manav and Rohan in the ratio 3 : 7. How many rupees does Manav get?
38. 38.If 9 pens cost ₹189, how many rupees do 10 pens cost?
39. 39.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 3 hours?
40. 40.₹1400 is shared between Dev and Farhan in the ratio 3 : 7. How many rupees does Dev get?

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