Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 148 · 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.₹980 is shared between Arjun and Priya in the ratio 5 : 9. How many rupees does Arjun get?
2. 2.A box has 6 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 10 (b) 1 : 9 (c) 9 : 1 (d) 6 : 54
3. 3.Write the ratio 32 : 56 in its simplest form. (a) 32 : 56 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
4. 4.Are 10, 15, 18 and 27 in proportion? (a) No (b) Yes
5. 5.A box has 24 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 6 (b) 5 : 2 (c) 4 : 1 (d) 1 : 4
6. 6.Write the ratio 4 : 32 in its simplest form. (a) 4 : 32 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
7. 7.4 : 5 = ? : 20
8. 8.1 : 4 = 4 : ?
9. 9.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
10. 10.₹800 is shared between Joseph and Priya in the ratio 3 : 5. How many rupees does Joseph get?
11. 11.Write the ratio 8 : 48 in its simplest form. (a) 6 : 1 (b) 8 : 48 (c) 1 : 6 (d) 2 : 7
12. 12.A class has 63 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 9 (b) 9 : 8 (c) 8 : 9 (d) 63 : 56
13. 13.If 8 pens cost ₹296, how many rupees do 3 pens cost?
14. 14.If 2 ice creams cost ₹34, how many rupees do 12 ice creams cost?
15. 15.If 5 ice creams cost ₹50, how many rupees do 10 ice creams cost?
16. 16.₹1870 is shared between Diya and Kabir in the ratio 4 : 7. How many rupees does Diya get?
17. 17.₹300 is shared between Lakshmi and Farhan in the ratio 2 : 3. How many rupees does Lakshmi get?
18. 18.Write the ratio 24 : 15 in its simplest form. (a) 8 : 5 (b) 5 : 8 (c) 24 : 15 (d) 9 : 6
19. 19.Are 8, 20, 10 and 25 in proportion? (a) No (b) Yes
20. 20.If 4 bus tickets cost ₹124, how many rupees do 12 bus tickets cost?
21. 21.Write the ratio 6 : 16 in its simplest form. (a) 4 : 9 (b) 3 : 8 (c) 6 : 16 (d) 8 : 3
22. 22.1 : 4 = 3 : ?
23. 23.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 3 hours?
24. 24.₹300 is shared between Rohan and Dev in the ratio 1 : 4. How many rupees does Rohan get?
25. 25.Write the ratio 4 : 28 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 1 : 7 (d) 4 : 28
26. 26.2 : 5 = ? : 10
27. 27.Are 4, 16, 7 and 28 in proportion? (a) Yes (b) No
28. 28.1 : 4 = 5 : ?
29. 29.Are 6, 18, 2 and 8 in proportion? (a) No (b) Yes
30. 30.If 7 chocolates cost ₹308, how many rupees do 12 chocolates cost?
31. 31.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
32. 32.A basket has 40 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 40 : 24
33. 33.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
34. 34.₹600 is shared between Rohan and Gurpreet in the ratio 2 : 3. How many rupees does Gurpreet get?
35. 35.If 9 pens cost ₹351, how many rupees do 2 pens cost?
36. 36.₹840 is shared between Manav and Rohan in the ratio 2 : 5. How many rupees does Rohan get?
37. 37.If 6 notebooks cost ₹342, how many rupees do 3 notebooks cost?
38. 38.₹1500 is shared between Diya and Dev in the ratio 3 : 7. How many rupees does Dev get?
39. 39.Write the ratio 8 : 36 in its simplest form. (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 8 : 36
40. 40.5 : 6 = ? : 30

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