Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 247 · 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.Are 2, 16, 9 and 73 in proportion? (a) No (b) Yes
2. 2.2 : 3 = 14 : ?
3. 3.₹180 is shared between Pooja and Rohan in the ratio 4 : 5. How many rupees does Rohan get?
4. 4.Write the ratio 30 : 25 in its simplest form. (a) 7 : 6 (b) 5 : 6 (c) 30 : 25 (d) 6 : 5
5. 5.Write the ratio 30 : 24 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 5 : 4 (d) 30 : 24
6. 6.Write the ratio 21 : 14 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 21 : 14 (d) 2 : 3
7. 7.Are 8, 28, 16 and 57 in proportion? (a) No (b) Yes
8. 8.₹600 is shared between Vivaan and Lakshmi in the ratio 1 : 9. How many rupees does Lakshmi get?
9. 9.₹1650 is shared between Karan and Gurpreet in the ratio 4 : 7. How many rupees does Karan get?
10. 10.Write the ratio 12 : 28 in its simplest form. (a) 4 : 8 (b) 12 : 28 (c) 7 : 3 (d) 3 : 7
11. 11.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
12. 12.₹350 is shared between Aditya and Arjun in the ratio 1 : 6. How many rupees does Arjun get?
13. 13.Write the ratio 27 : 3 in its simplest form. (a) 9 : 1 (b) 10 : 2 (c) 1 : 9 (d) 27 : 3
14. 14.Are 24, 54, 12 and 30 in proportion? (a) No (b) Yes
15. 15.Write the ratio 42 : 35 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 5 : 6 (d) 42 : 35
16. 16.Are 6, 18, 4 and 14 in proportion? (a) Yes (b) No
17. 17.Write the ratio 63 : 54 in its simplest form. (a) 6 : 7 (b) 63 : 54 (c) 8 : 7 (d) 7 : 6
18. 18.A class has 21 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 21 : 6 (c) 2 : 7 (d) 7 : 2
19. 19.If 4 bus tickets cost ₹148, how many rupees do 9 bus tickets cost?
20. 20.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 1 hour?
21. 21.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
22. 22.Are 12, 14, 42 and 49 in proportion? (a) No (b) Yes
23. 23.Write the ratio 36 : 8 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 36 : 8 (d) 9 : 2
24. 24.₹950 is shared between Aditya and Pooja in the ratio 1 : 4. How many rupees does Pooja get?
25. 25.6 : 7 = ? : 56
26. 26.Are 25, 30, 20 and 26 in proportion? (a) No (b) Yes
27. 27.1 : 6 = 10 : ?
28. 28.Write the ratio 6 : 4 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 6 : 4 (d) 2 : 3
29. 29.₹60 is shared between Dev and Meera in the ratio 1 : 2. How many rupees does Meera get?
30. 30.If 2 ice creams cost ₹18, how many rupees do 12 ice creams cost?
31. 31.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 4 hours?
32. 32.Write the ratio 30 : 54 in its simplest form. (a) 30 : 54 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
33. 33.If 8 pens cost ₹40, how many rupees do 7 pens cost?
34. 34.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
35. 35.Are 15, 35, 27 and 64 in proportion? (a) No (b) Yes
36. 36.If 8 ice creams cost ₹104, how many rupees do 5 ice creams cost?
37. 37.If 7 bus tickets cost ₹224, how many rupees do 11 bus tickets cost?
38. 38.A class has 6 boys and 54 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 10 (b) 9 : 1 (c) 6 : 54 (d) 1 : 9
39. 39.1 : 5 = ? : 50
40. 40.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?

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