Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 367 · 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 15 : 27 in its simplest form. (a) 9 : 5 (b) 15 : 27 (c) 6 : 10 (d) 5 : 9
2. 2.Write the ratio 4 : 20 in its simplest form. (a) 2 : 6 (b) 4 : 20 (c) 5 : 1 (d) 1 : 5
3. 3.2 : 5 = 8 : ?
4. 4.1 : 7 = 7 : ?
5. 5.Are 18, 21, 42 and 52 in proportion? (a) No (b) Yes
6. 6.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
7. 7.₹1430 is shared between Arjun and Farhan in the ratio 6 : 7. How many rupees does Arjun get?
8. 8.₹1170 is shared between Isha and Ananya in the ratio 6 : 7. How many rupees does Isha get?
9. 9.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
10. 10.Write the ratio 36 : 63 in its simplest form. (a) 5 : 8 (b) 7 : 4 (c) 36 : 63 (d) 4 : 7
11. 11.A basket has 10 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 4 (b) 6 : 5 (c) 10 : 8 (d) 4 : 5
12. 12.A class has 27 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 9 (b) 8 : 9 (c) 9 : 8 (d) 27 : 24
13. 13.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
14. 14.A class has 16 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 16 : 72 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
15. 15.2 : 5 = 12 : ?
16. 16.Are 9, 15, 12 and 23 in proportion? (a) No (b) Yes
17. 17.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
18. 18.₹1190 is shared between Joseph and Rohan in the ratio 2 : 5. How many rupees does Rohan get?
19. 19.Write the ratio 35 : 7 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 35 : 7 (d) 5 : 1
20. 20.2 : 3 = ? : 21
21. 21.A team has 4 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 3 : 2 (d) 4 : 2
22. 22.₹1400 is shared between Karan and Joseph in the ratio 3 : 4. How many rupees does Karan get?
23. 23.A garden has 6 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 7 (b) 1 : 6 (c) 6 : 36 (d) 6 : 1
24. 24.₹800 is shared between Pooja and Ananya in the ratio 3 : 5. How many rupees does Ananya get?
25. 25.₹1800 is shared between Diya and Aarav in the ratio 5 : 7. How many rupees does Diya get?
26. 26.Write the ratio 49 : 56 in its simplest form. (a) 8 : 7 (b) 8 : 9 (c) 7 : 8 (d) 49 : 56
27. 27.3 : 5 = ? : 45
28. 28.7 : 9 = ? : 45
29. 29.A library shelf has 42 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 42 : 48
30. 30.₹70 is shared between Rohan and Ananya in the ratio 3 : 4. How many rupees does Rohan get?
31. 31.1 : 5 = ? : 15
32. 32.Write the ratio 10 : 5 in its simplest form. (a) 1 : 2 (b) 10 : 5 (c) 2 : 1 (d) 3 : 2
33. 33.Write the ratio 3 : 9 in its simplest form. (a) 3 : 1 (b) 3 : 9 (c) 2 : 4 (d) 1 : 3
34. 34.If 2 notebooks cost ₹102, how many rupees do 8 notebooks cost?
35. 35.If 4 notebooks cost ₹108, how many rupees do 3 notebooks cost?
36. 36.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
37. 37.4 : 7 = 40 : ?
38. 38.If 3 chocolates cost ₹147, how many rupees do 9 chocolates cost?
39. 39.If 3 chocolates cost ₹150, how many rupees do 5 chocolates cost?
40. 40.₹490 is shared between Vivaan and Isha in the ratio 1 : 6. How many rupees does Vivaan get?

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