Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 304 · 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.₹1600 is shared between Nisha and Aarav in the ratio 7 : 9. How many rupees does Nisha get?
2. 2.If 2 bus tickets cost ₹58, how many rupees do 12 bus tickets cost?
3. 3.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
4. 4.If 4 notebooks cost ₹16, how many rupees do 12 notebooks cost?
5. 5.Write the ratio 14 : 7 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 2 : 1 (d) 14 : 7
6. 6.A class has 54 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 54 : 48 (b) 9 : 8 (c) 10 : 9 (d) 8 : 9
7. 7.₹1200 is shared between Ishaan and Tara in the ratio 7 : 8. How many rupees does Ishaan get?
8. 8.3 : 4 = ? : 24
9. 9.Are 24, 42, 32 and 58 in proportion? (a) No (b) Yes
10. 10.₹560 is shared between Lakshmi and Rohan in the ratio 5 : 9. How many rupees does Rohan get?
11. 11.A class has 35 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 8 : 5 (c) 4 : 7 (d) 35 : 20
12. 12.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 1 hour?
13. 13.Write the ratio 30 : 35 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 30 : 35 (d) 7 : 6
14. 14.₹100 is shared between Ananya and Arjun in the ratio 1 : 9. How many rupees does Ananya get?
15. 15.If 9 chocolates cost ₹450, how many rupees do 8 chocolates cost?
16. 16.Write the ratio 8 : 64 in its simplest form. (a) 8 : 1 (b) 8 : 64 (c) 2 : 9 (d) 1 : 8
17. 17.5 : 6 = 50 : ?
18. 18.Write the ratio 27 : 15 in its simplest form. (a) 27 : 15 (b) 10 : 6 (c) 9 : 5 (d) 5 : 9
19. 19.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 5 hours?
20. 20.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
21. 21.1 : 2 = ? : 20
22. 22.A library shelf has 4 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 4 : 18 (d) 9 : 2
23. 23.₹1560 is shared between Isha and Meera in the ratio 4 : 9. How many rupees does Meera get?
24. 24.Are 6, 15, 12 and 31 in proportion? (a) Yes (b) No
25. 25.3 : 5 = ? : 10
26. 26.1 : 2 = 3 : ?
27. 27.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
28. 28.3 : 8 = ? : 72
29. 29.Write the ratio 25 : 15 in its simplest form. (a) 5 : 3 (b) 25 : 15 (c) 6 : 4 (d) 3 : 5
30. 30.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
31. 31.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
32. 32.Write the ratio 18 : 63 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 18 : 63 (d) 2 : 7
33. 33.Write the ratio 24 : 28 in its simplest form. (a) 7 : 8 (b) 24 : 28 (c) 6 : 7 (d) 7 : 6
34. 34.Are 4, 36, 5 and 47 in proportion? (a) Yes (b) No
35. 35.Are 2, 4, 4 and 8 in proportion? (a) Yes (b) No
36. 36.A team has 9 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 9 : 12 (d) 4 : 3
37. 37.Are 32, 36, 48 and 54 in proportion? (a) Yes (b) No
38. 38.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
39. 39.Write the ratio 45 : 9 in its simplest form. (a) 1 : 5 (b) 45 : 9 (c) 5 : 1 (d) 6 : 2
40. 40.If 8 ice creams cost ₹424, how many rupees do 9 ice creams cost?

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