Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 297 · 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.If 3 bus tickets cost ₹48, how many rupees do 5 bus tickets cost?
2. 2.Write the ratio 24 : 42 in its simplest form. (a) 7 : 4 (b) 24 : 42 (c) 5 : 8 (d) 4 : 7
3. 3.Write the ratio 25 : 35 in its simplest form. (a) 25 : 35 (b) 5 : 7 (c) 7 : 5 (d) 6 : 8
4. 4.Write the ratio 10 : 12 in its simplest form. (a) 6 : 5 (b) 10 : 12 (c) 5 : 6 (d) 6 : 7
5. 5.Write the ratio 18 : 12 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 18 : 12
6. 6.1 : 2 = ? : 14
7. 7.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 7 hours?
8. 8.Are 8, 14, 12 and 22 in proportion? (a) Yes (b) No
9. 9.₹300 is shared between Aditya and Meera in the ratio 1 : 5. How many rupees does Meera get?
10. 10.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
11. 11.A box has 27 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 10 : 5 (d) 27 : 12
12. 12.7 : 8 = ? : 48
13. 13.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
14. 14.Write the ratio 9 : 36 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 9 : 36
15. 15.Write the ratio 63 : 14 in its simplest form. (a) 63 : 14 (b) 9 : 2 (c) 10 : 3 (d) 2 : 9
16. 16.₹1760 is shared between Karan and Dev in the ratio 3 : 8. How many rupees does Karan get?
17. 17.₹2200 is shared between Diya and Karan in the ratio 3 : 8. How many rupees does Diya get?
18. 18.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
19. 19.4 : 5 = ? : 20
20. 20.₹320 is shared between Dev and Manav in the ratio 1 : 7. How many rupees does Dev get?
21. 21.If 2 bus tickets cost ₹66, how many rupees do 11 bus tickets cost?
22. 22.₹2720 is shared between Zoya and Isha in the ratio 8 : 9. How many rupees does Zoya get?
23. 23.4 : 5 = 28 : ?
24. 24.A box has 81 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 81 : 63 (d) 10 : 8
25. 25.Are 15, 18, 40 and 48 in proportion? (a) Yes (b) No
26. 26.Write the ratio 6 : 4 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 6 : 4 (d) 4 : 3
27. 27.5 : 7 = 30 : ?
28. 28.Write the ratio 7 : 42 in its simplest form. (a) 2 : 7 (b) 7 : 42 (c) 1 : 6 (d) 6 : 1
29. 29.2 : 7 = ? : 49
30. 30.5 : 9 = ? : 27
31. 31.4 : 7 = 20 : ?
32. 32.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
33. 33.₹350 is shared between Rohan and Arjun in the ratio 3 : 4. How many rupees does Rohan get?
34. 34.If 8 bus tickets cost ₹32, how many rupees do 7 bus tickets cost?
35. 35.Write the ratio 24 : 30 in its simplest form. (a) 24 : 30 (b) 5 : 4 (c) 4 : 5 (d) 5 : 6
36. 36.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
37. 37.A garden has 48 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 48 : 54
38. 38.If 3 bus tickets cost ₹165, how many rupees do 11 bus tickets cost?
39. 39.Are 15, 24, 10 and 19 in proportion? (a) Yes (b) No
40. 40.₹1430 is shared between Isha and Manav in the ratio 5 : 6. How many rupees does Manav get?

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