Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 86 · 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 35 : 21 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 35 : 21
2. 2.Are 30, 54, 15 and 30 in proportion? (a) No (b) Yes
3. 3.₹2040 is shared between Zoya and Kavya in the ratio 5 : 7. How many rupees does Zoya get?
4. 4.Write the ratio 8 : 72 in its simplest form. (a) 9 : 1 (b) 8 : 72 (c) 2 : 10 (d) 1 : 9
5. 5.7 : 9 = ? : 72
6. 6.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 2 hours?
7. 7.₹1870 is shared between Saanvi and Gurpreet in the ratio 2 : 9. How many rupees does Saanvi get?
8. 8.Are 21, 24, 63 and 74 in proportion? (a) Yes (b) No
9. 9.Are 2, 6, 3 and 10 in proportion? (a) Yes (b) No
10. 10.₹800 is shared between Joseph and Rohan in the ratio 2 : 3. How many rupees does Joseph get?
11. 11.If 4 notebooks cost ₹188, how many rupees do 10 notebooks cost?
12. 12.1 : 3 = 3 : ?
13. 13.5 : 8 = 50 : ?
14. 14.Are 5, 40, 3 and 27 in proportion? (a) No (b) Yes
15. 15.Are 15, 21, 35 and 50 in proportion? (a) No (b) Yes
16. 16.If 4 chocolates cost ₹28, how many rupees do 10 chocolates cost?
17. 17.If 5 pens cost ₹195, how many rupees do 2 pens cost?
18. 18.2 : 7 = ? : 49
19. 19.₹600 is shared between Aarav and Joseph in the ratio 1 : 3. How many rupees does Aarav get?
20. 20.₹1360 is shared between Tara and Sneha in the ratio 1 : 7. How many rupees does Tara get?
21. 21.Are 8, 12, 10 and 18 in proportion? (a) Yes (b) No
22. 22.If 9 bus tickets cost ₹99, how many rupees do 7 bus tickets cost?
23. 23.₹1430 is shared between Riya and Sneha in the ratio 5 : 6. How many rupees does Sneha get?
24. 24.₹770 is shared between Tara and Priya in the ratio 2 : 9. How many rupees does Priya get?
25. 25.If 8 bus tickets cost ₹224, how many rupees do 4 bus tickets cost?
26. 26.Write the ratio 72 : 9 in its simplest form. (a) 72 : 9 (b) 8 : 1 (c) 9 : 2 (d) 1 : 8
27. 27.6 : 7 = 36 : ?
28. 28.If 8 pens cost ₹344, how many rupees do 6 pens cost?
29. 29.Write the ratio 16 : 28 in its simplest form. (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 16 : 28
30. 30.Write the ratio 42 : 49 in its simplest form. (a) 7 : 8 (b) 42 : 49 (c) 7 : 6 (d) 6 : 7
31. 31.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 8 hours?
32. 32.A box has 40 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 40 : 72
33. 33.₹1330 is shared between Aditya and Meera in the ratio 3 : 4. How many rupees does Meera get?
34. 34.1 : 4 = ? : 20
35. 35.Are 6, 14, 12 and 28 in proportion? (a) No (b) Yes
36. 36.Write the ratio 16 : 6 in its simplest form. (a) 16 : 6 (b) 3 : 8 (c) 8 : 3 (d) 9 : 4
37. 37.Write the ratio 32 : 24 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 32 : 24 (d) 5 : 4
38. 38.₹1920 is shared between Rohan and Farhan in the ratio 5 : 7. How many rupees does Farhan get?
39. 39.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 5 hours?
40. 40.₹2280 is shared between Diya and Dev in the ratio 5 : 7. How many rupees does Dev get?

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