Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 213 · 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 42 : 48 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 42 : 48 (d) 8 : 9
2. 2.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 1 hour?
3. 3.If 5 bus tickets cost ₹60, how many rupees do 2 bus tickets cost?
4. 4.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
5. 5.3 : 8 = 12 : ?
6. 6.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 7 hours?
7. 7.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 8 hours?
8. 8.Write the ratio 20 : 12 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 6 : 4 (d) 20 : 12
9. 9.Write the ratio 10 : 45 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 10 : 45
10. 10.A box has 6 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 6 (b) 5 : 2 (c) 2 : 5 (d) 6 : 15
11. 11.Are 18, 42, 21 and 49 in proportion? (a) No (b) Yes
12. 12.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
13. 13.If 6 ice creams cost ₹48, how many rupees do 2 ice creams cost?
14. 14.Write the ratio 6 : 10 in its simplest form. (a) 5 : 3 (b) 6 : 10 (c) 4 : 6 (d) 3 : 5
15. 15.₹1950 is shared between Priya and Joseph in the ratio 4 : 9. How many rupees does Joseph get?
16. 16.A garden has 4 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 4 : 16
17. 17.1 : 5 = ? : 30
18. 18.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
19. 19.8 : 9 = 32 : ?
20. 20.If 5 chocolates cost ₹260, how many rupees do 2 chocolates cost?
21. 21.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
22. 22.1 : 9 = 8 : ?
23. 23.If 6 pens cost ₹18, how many rupees do 2 pens cost?
24. 24.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
25. 25.If 3 pens cost ₹51, how many rupees do 8 pens cost?
26. 26.If 3 pens cost ₹123, how many rupees do 2 pens cost?
27. 27.4 : 9 = ? : 81
28. 28.1 : 4 = 6 : ?
29. 29.If 4 notebooks cost ₹240, how many rupees do 11 notebooks cost?
30. 30.₹1430 is shared between Farhan and Ananya in the ratio 4 : 9. How many rupees does Farhan get?
31. 31.₹1800 is shared between Isha and Farhan in the ratio 2 : 7. How many rupees does Farhan get?
32. 32.Write the ratio 48 : 54 in its simplest form. (a) 9 : 8 (b) 48 : 54 (c) 8 : 9 (d) 9 : 10
33. 33.₹770 is shared between Rahul and Ananya in the ratio 3 : 8. How many rupees does Rahul get?
34. 34.3 : 7 = ? : 14
35. 35.Are 3, 24, 9 and 75 in proportion? (a) No (b) Yes
36. 36.3 : 7 = 6 : ?
37. 37.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
38. 38.1 : 3 = 7 : ?
39. 39.Write the ratio 12 : 30 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 3 : 6 (d) 12 : 30
40. 40.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?

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