Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 313 · 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.If 8 ice creams cost ₹248, how many rupees do 6 ice creams cost?
2. 2.Are 20, 36, 45 and 83 in proportion? (a) No (b) Yes
3. 3.₹1040 is shared between Ishaan and Rohan in the ratio 1 : 7. How many rupees does Rohan get?
4. 4.₹1120 is shared between Saanvi and Diya in the ratio 2 : 5. How many rupees does Diya get?
5. 5.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
6. 6.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
7. 7.If 9 chocolates cost ₹459, how many rupees do 2 chocolates cost?
8. 8.A team has 25 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 25 : 15 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
9. 9.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 3 : 4 (c) 4 : 5 (d) 4 : 3
10. 10.Are 5, 25, 6 and 33 in proportion? (a) No (b) Yes
11. 11.1 : 8 = 5 : ?
12. 12.Write the ratio 14 : 21 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 14 : 21
13. 13.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
14. 14.₹720 is shared between Ishaan and Lakshmi in the ratio 2 : 7. How many rupees does Ishaan get?
15. 15.Write the ratio 28 : 7 in its simplest form. (a) 4 : 1 (b) 5 : 2 (c) 28 : 7 (d) 1 : 4
16. 16.A library shelf has 35 storybooks and 7 science books. What is the ratio of storybooks to science books in its simplest form? (a) 35 : 7 (b) 1 : 5 (c) 5 : 1 (d) 6 : 2
17. 17.If 6 bus tickets cost ₹108, how many rupees do 3 bus tickets cost?
18. 18.2 : 7 = ? : 14
19. 19.Write the ratio 35 : 7 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 35 : 7
20. 20.₹440 is shared between Diya and Meera in the ratio 5 : 6. How many rupees does Diya get?
21. 21.Are 9, 24, 15 and 41 in proportion? (a) Yes (b) No
22. 22.A basket has 56 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 56 : 63 (c) 9 : 10 (d) 8 : 9
23. 23.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 5 hours?
24. 24.4 : 9 = 32 : ?
25. 25.Write the ratio 14 : 8 in its simplest form. (a) 4 : 7 (b) 8 : 5 (c) 14 : 8 (d) 7 : 4
26. 26.Write the ratio 12 : 21 in its simplest form. (a) 4 : 7 (b) 12 : 21 (c) 7 : 4 (d) 5 : 8
27. 27.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 7 hours?
28. 28.A scooter goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
29. 29.₹180 is shared between Dev and Diya in the ratio 1 : 8. How many rupees does Dev get?
30. 30.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
31. 31.Are 4, 16, 3 and 13 in proportion? (a) Yes (b) No
32. 32.2 : 9 = 14 : ?
33. 33.3 : 5 = 6 : ?
34. 34.A box has 15 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 6 : 7 (d) 15 : 18
35. 35.3 : 8 = ? : 24
36. 36.If 4 mangoes cost ₹176, how many rupees do 5 mangoes cost?
37. 37.If 8 pens cost ₹64, how many rupees do 10 pens cost?
38. 38.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 4 hours?
39. 39.A basket has 24 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 24 : 15 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
40. 40.₹2090 is shared between Lakshmi and Riya in the ratio 3 : 8. How many rupees does Riya get?

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