Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 331 · 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 scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
2. 2.₹660 is shared between Sneha and Pooja in the ratio 1 : 5. How many rupees does Sneha get?
3. 3.If 3 pens cost ₹87, how many rupees do 11 pens cost?
4. 4.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
5. 5.Write the ratio 27 : 45 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 27 : 45 (d) 5 : 3
6. 6.2 : 7 = 14 : ?
7. 7.Write the ratio 8 : 56 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 8 : 56 (d) 1 : 7
8. 8.If 2 pens cost ₹16, how many rupees do 11 pens cost?
9. 9.A class has 35 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 9 (b) 8 : 7 (c) 35 : 40 (d) 7 : 8
10. 10.Write the ratio 45 : 63 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 45 : 63 (d) 5 : 7
11. 11.If 3 chocolates cost ₹150, how many rupees do 5 chocolates cost?
12. 12.Are 3, 27, 6 and 55 in proportion? (a) No (b) Yes
13. 13.A scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 1 hour?
14. 14.₹630 is shared between Diya and Dev in the ratio 4 : 5. How many rupees does Diya get?
15. 15.₹130 is shared between Joseph and Zoya in the ratio 5 : 8. How many rupees does Zoya get?
16. 16.Are 6, 15, 14 and 38 in proportion? (a) No (b) Yes
17. 17.₹1320 is shared between Rahul and Ananya in the ratio 5 : 6. How many rupees does Ananya get?
18. 18.If 5 notebooks cost ₹85, how many rupees do 12 notebooks cost?
19. 19.₹1800 is shared between Ishaan and Kabir in the ratio 5 : 7. How many rupees does Kabir get?
20. 20.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 5 hours?
21. 21.If 2 bus tickets cost ₹112, how many rupees do 4 bus tickets cost?
22. 22.2 : 3 = ? : 9
23. 23.Write the ratio 40 : 24 in its simplest form. (a) 6 : 4 (b) 5 : 3 (c) 3 : 5 (d) 40 : 24
24. 24.Are 4, 24, 7 and 42 in proportion? (a) No (b) Yes
25. 25.3 : 7 = 9 : ?
26. 26.If 9 notebooks cost ₹36, how many rupees do 8 notebooks cost?
27. 27.If 2 notebooks cost ₹92, how many rupees do 8 notebooks cost?
28. 28.3 : 7 = ? : 42
29. 29.If 7 notebooks cost ₹350, how many rupees do 2 notebooks cost?
30. 30.Are 12, 16, 6 and 8 in proportion? (a) No (b) Yes
31. 31.A team has 42 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 2 (b) 8 : 3 (c) 42 : 12 (d) 2 : 7
32. 32.If 3 pens cost ₹99, how many rupees do 4 pens cost?
33. 33.Write the ratio 32 : 4 in its simplest form. (a) 1 : 8 (b) 32 : 4 (c) 9 : 2 (d) 8 : 1
34. 34.A bus goes 240 km in 3 hours. At the same speed, how many km does it go in 5 hours?
35. 35.Are 4, 24, 2 and 13 in proportion? (a) No (b) Yes
36. 36.1 : 5 = 2 : ?
37. 37.A library shelf has 24 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 24 : 21 (d) 7 : 8
38. 38.Are 4, 16, 6 and 24 in proportion? (a) Yes (b) No
39. 39.₹130 is shared between Nisha and Zoya in the ratio 6 : 7. How many rupees does Zoya get?
40. 40.Are 15, 18, 10 and 12 in proportion? (a) No (b) Yes

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