Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 30 · 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 8 bus tickets cost ₹56, how many rupees do 11 bus tickets cost?
2. 2.A box has 20 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 20 : 8 (d) 6 : 3
3. 3.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
4. 4.Are 21, 27, 14 and 18 in proportion? (a) No (b) Yes
5. 5.3 : 7 = 12 : ?
6. 6.₹1120 is shared between Dev and Aditya in the ratio 1 : 6. How many rupees does Dev get?
7. 7.If 4 bus tickets cost ₹232, how many rupees do 7 bus tickets cost?
8. 8.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
9. 9.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
10. 10.₹50 is shared between Ananya and Rahul in the ratio 1 : 4. How many rupees does Ananya get?
11. 11.4 : 5 = 20 : ?
12. 12.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 1 hour?
13. 13.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 4 hours?
14. 14.If 2 notebooks cost ₹44, how many rupees do 4 notebooks cost?
15. 15.A basket has 49 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 7 (b) 8 : 10 (c) 7 : 9 (d) 49 : 63
16. 16.Are 16, 28, 28 and 51 in proportion? (a) No (b) Yes
17. 17.8 : 9 = 24 : ?
18. 18.3 : 8 = ? : 24
19. 19.5 : 7 = ? : 63
20. 20.₹660 is shared between Meera and Vivaan in the ratio 2 : 9. How many rupees does Meera get?
21. 21.3 : 8 = 6 : ?
22. 22.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
23. 23.₹240 is shared between Vivaan and Ananya in the ratio 1 : 5. How many rupees does Ananya get?
24. 24.Are 2, 8, 3 and 12 in proportion? (a) No (b) Yes
25. 25.A box has 7 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 63 (b) 2 : 10 (c) 9 : 1 (d) 1 : 9
26. 26.If 9 notebooks cost ₹423, how many rupees do 10 notebooks cost?
27. 27.₹480 is shared between Rahul and Gurpreet in the ratio 7 : 9. How many rupees does Gurpreet get?
28. 28.If 2 bus tickets cost ₹14, how many rupees do 3 bus tickets cost?
29. 29.If 6 notebooks cost ₹258, how many rupees do 7 notebooks cost?
30. 30.8 : 9 = ? : 90
31. 31.₹270 is shared between Diya and Lakshmi in the ratio 4 : 5. How many rupees does Lakshmi get?
32. 32.₹990 is shared between Riya and Isha in the ratio 3 : 8. How many rupees does Isha get?
33. 33.₹240 is shared between Aditya and Riya in the ratio 5 : 7. How many rupees does Riya get?
34. 34.₹1020 is shared between Sneha and Nisha in the ratio 8 : 9. How many rupees does Nisha get?
35. 35.₹1080 is shared between Zoya and Farhan in the ratio 2 : 7. How many rupees does Zoya get?
36. 36.5 : 7 = 15 : ?
37. 37.₹950 is shared between Riya and Kavya in the ratio 2 : 3. How many rupees does Riya get?
38. 38.Write the ratio 6 : 18 in its simplest form. (a) 3 : 1 (b) 2 : 4 (c) 1 : 3 (d) 6 : 18
39. 39.2 : 3 = 4 : ?
40. 40.If 8 pens cost ₹304, how many rupees do 4 pens cost?

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