Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 241 · 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. 1.1 : 7 = ? : 63
2. 2.5 : 7 = ? : 35
3. 3.1 : 4 = 5 : ?
4. 4.₹1360 is shared between Ishaan and Rohan in the ratio 1 : 7. How many rupees does Ishaan get?
5. 5.6 : 7 = 24 : ?
6. 6.Are 6, 8, 27 and 39 in proportion? (a) No (b) Yes
7. 7.If 6 mangoes cost ₹288, how many rupees do 4 mangoes cost?
8. 8.3 : 4 = ? : 24
9. 9.₹2210 is shared between Ananya and Priya in the ratio 6 : 7. How many rupees does Ananya get?
10. 10.Write the ratio 5 : 45 in its simplest form. (a) 1 : 9 (b) 5 : 45 (c) 2 : 10 (d) 9 : 1
11. 11.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 8 hours?
12. 12.If 3 chocolates cost ₹147, how many rupees do 8 chocolates cost?
13. 13.Write the ratio 40 : 35 in its simplest form. (a) 9 : 8 (b) 40 : 35 (c) 7 : 8 (d) 8 : 7
14. 14.A box has 6 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 6 : 10 (d) 4 : 6
15. 15.A class has 49 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 7 (b) 8 : 6 (c) 49 : 35 (d) 7 : 5
16. 16.₹390 is shared between Dev and Lakshmi in the ratio 6 : 7. How many rupees does Dev get?
17. 17.If 4 pens cost ₹184, how many rupees do 5 pens cost?
18. 18.1 : 2 = ? : 20
19. 19.If 5 chocolates cost ₹90, how many rupees do 10 chocolates cost?
20. 20.Are 42, 48, 49 and 56 in proportion? (a) Yes (b) No
21. 21.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 4 hours?
22. 22.Write the ratio 4 : 14 in its simplest form. (a) 4 : 14 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
23. 23.8 : 9 = ? : 90
24. 24.Write the ratio 14 : 10 in its simplest form. (a) 5 : 7 (b) 14 : 10 (c) 7 : 5 (d) 8 : 6
25. 25.If 3 pens cost ₹24, how many rupees do 4 pens cost?
26. 26.Write the ratio 9 : 24 in its simplest form. (a) 3 : 8 (b) 9 : 24 (c) 8 : 3 (d) 4 : 9
27. 27.1 : 9 = ? : 90
28. 28.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
29. 29.1 : 5 = 6 : ?
30. 30.A class has 3 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 1 (b) 2 : 8 (c) 3 : 21 (d) 1 : 7
31. 31.If 9 pens cost ₹369, how many rupees do 3 pens cost?
32. 32.Write the ratio 40 : 5 in its simplest form. (a) 1 : 8 (b) 40 : 5 (c) 9 : 2 (d) 8 : 1
33. 33.If 8 bus tickets cost ₹72, how many rupees do 7 bus tickets cost?
34. 34.₹2880 is shared between Kavya and Zoya in the ratio 7 : 9. How many rupees does Kavya get?
35. 35.If 6 ice creams cost ₹18, how many rupees do 9 ice creams cost?
36. 36.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 3 hours?
37. 37.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 4 hours?
38. 38.8 : 9 = ? : 45
39. 39.A basket has 8 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 8 : 18 (c) 5 : 10 (d) 9 : 4
40. 40.A class has 4 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 4 : 36 (c) 2 : 10 (d) 9 : 1

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