Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 153 · 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.₹720 is shared between Kabir and Vivaan in the ratio 1 : 3. How many rupees does Kabir get?
2. 2.Write the ratio 72 : 64 in its simplest form. (a) 10 : 9 (b) 9 : 8 (c) 8 : 9 (d) 72 : 64
3. 3.Write the ratio 15 : 9 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 15 : 9 (d) 6 : 4
4. 4.Write the ratio 63 : 36 in its simplest form. (a) 7 : 4 (b) 8 : 5 (c) 63 : 36 (d) 4 : 7
5. 5.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 4 : 10 (c) 3 : 6 (d) 5 : 2
6. 6.Write the ratio 40 : 72 in its simplest form. (a) 40 : 72 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
7. 7.Are 40, 45, 72 and 81 in proportion? (a) Yes (b) No
8. 8.₹110 is shared between Diya and Saanvi in the ratio 5 : 6. How many rupees does Diya get?
9. 9.A library shelf has 15 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 4 (b) 4 : 5 (c) 4 : 3 (d) 15 : 20
10. 10.Write the ratio 12 : 10 in its simplest form. (a) 6 : 5 (b) 5 : 6 (c) 12 : 10 (d) 7 : 6
11. 11.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
12. 12.If 2 chocolates cost ₹42, how many rupees do 5 chocolates cost?
13. 13.Write the ratio 25 : 35 in its simplest form. (a) 7 : 5 (b) 25 : 35 (c) 6 : 8 (d) 5 : 7
14. 14.If 3 ice creams cost ₹147, how many rupees do 6 ice creams cost?
15. 15.3 : 5 = 24 : ?
16. 16.A class has 18 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 12 (b) 4 : 3 (c) 2 : 3 (d) 3 : 2
17. 17.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 8 hours?
18. 18.4 : 9 = 12 : ?
19. 19.₹440 is shared between Karan and Saanvi in the ratio 5 : 6. How many rupees does Saanvi get?
20. 20.If 7 mangoes cost ₹336, how many rupees do 12 mangoes cost?
21. 21.If 7 bus tickets cost ₹77, how many rupees do 2 bus tickets cost?
22. 22.₹1260 is shared between Arjun and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
23. 23.A class has 72 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 72 : 81 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
24. 24.Write the ratio 14 : 16 in its simplest form. (a) 14 : 16 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
25. 25.A library shelf has 10 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 10 : 15 (c) 3 : 4 (d) 2 : 3
26. 26.3 : 4 = ? : 8
27. 27.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 8 hours?
28. 28.Are 5, 25, 2 and 10 in proportion? (a) No (b) Yes
29. 29.Are 32, 36, 72 and 81 in proportion? (a) Yes (b) No
30. 30.Are 24, 42, 12 and 21 in proportion? (a) Yes (b) No
31. 31.If 4 pens cost ₹112, how many rupees do 8 pens cost?
32. 32.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
33. 33.Are 4, 6, 6 and 10 in proportion? (a) No (b) Yes
34. 34.₹1120 is shared between Joseph and Gurpreet in the ratio 3 : 4. How many rupees does Joseph get?
35. 35.Are 42, 54, 35 and 45 in proportion? (a) No (b) Yes
36. 36.A team has 24 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 3 (b) 24 : 56 (c) 3 : 7 (d) 4 : 8
37. 37.8 : 9 = ? : 72
38. 38.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 6 hours?
39. 39.3 : 8 = ? : 48
40. 40.Are 20, 32, 15 and 24 in proportion? (a) Yes (b) No

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