Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 164 · 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 10 : 15 in its simplest form. (a) 3 : 4 (b) 10 : 15 (c) 2 : 3 (d) 3 : 2
2. 2.₹500 is shared between Tara and Joseph in the ratio 2 : 3. How many rupees does Tara get?
3. 3.5 : 9 = 50 : ?
4. 4.2 : 5 = 6 : ?
5. 5.₹910 is shared between Karan and Ananya in the ratio 1 : 6. How many rupees does Karan get?
6. 6.If 6 ice creams cost ₹228, how many rupees do 2 ice creams cost?
7. 7.A basket has 4 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 20 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
8. 8.A box has 72 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 8 (b) 9 : 6 (c) 72 : 45 (d) 8 : 5
9. 9.2 : 5 = 12 : ?
10. 10.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 8 hours?
11. 11.3 : 4 = ? : 24
12. 12.If 7 mangoes cost ₹77, how many rupees do 8 mangoes cost?
13. 13.4 : 7 = 20 : ?
14. 14.Write the ratio 63 : 81 in its simplest form. (a) 63 : 81 (b) 8 : 10 (c) 7 : 9 (d) 9 : 7
15. 15.Are 4, 16, 3 and 12 in proportion? (a) No (b) Yes
16. 16.Are 16, 18, 40 and 48 in proportion? (a) Yes (b) No
17. 17.₹720 is shared between Joseph and Zoya in the ratio 4 : 5. How many rupees does Joseph get?
18. 18.₹2550 is shared between Ishaan and Nisha in the ratio 8 : 9. How many rupees does Ishaan get?
19. 19.If 9 ice creams cost ₹99, how many rupees do 3 ice creams cost?
20. 20.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
21. 21.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
22. 22.1 : 4 = 6 : ?
23. 23.A basket has 63 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 7 (b) 63 : 81 (c) 7 : 9 (d) 8 : 10
24. 24.₹2880 is shared between Saanvi and Rohan in the ratio 7 : 9. How many rupees does Rohan get?
25. 25.Are 4, 24, 6 and 37 in proportion? (a) Yes (b) No
26. 26.Write the ratio 2 : 4 in its simplest form. (a) 2 : 1 (b) 2 : 4 (c) 2 : 3 (d) 1 : 2
27. 27.Are 8, 36, 4 and 21 in proportion? (a) Yes (b) No
28. 28.Write the ratio 49 : 63 in its simplest form. (a) 8 : 10 (b) 49 : 63 (c) 9 : 7 (d) 7 : 9
29. 29.If 3 chocolates cost ₹30, how many rupees do 4 chocolates cost?
30. 30.If 7 bus tickets cost ₹147, how many rupees do 2 bus tickets cost?
31. 31.5 : 7 = ? : 70
32. 32.If 4 mangoes cost ₹176, how many rupees do 10 mangoes cost?
33. 33.A team has 16 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 16 : 6 (c) 3 : 8 (d) 8 : 3
34. 34.₹2040 is shared between Gurpreet and Diya in the ratio 8 : 9. How many rupees does Diya get?
35. 35.A box has 7 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 49 (b) 7 : 1 (c) 1 : 7 (d) 2 : 8
36. 36.A basket has 5 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 15 (b) 3 : 1 (c) 2 : 4 (d) 1 : 3
37. 37.4 : 7 = ? : 21
38. 38.Are 5, 45, 3 and 30 in proportion? (a) No (b) Yes
39. 39.₹1320 is shared between Rohan and Manav in the ratio 3 : 8. How many rupees does Rohan get?
40. 40.A team has 27 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 5 (b) 4 : 6 (c) 27 : 45 (d) 5 : 3

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