Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 238 · 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.₹1690 is shared between Isha and Ishaan in the ratio 4 : 9. How many rupees does Isha get?
2. 2.Are 8, 20, 10 and 25 in proportion? (a) Yes (b) No
3. 3.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
4. 4.₹800 is shared between Priya and Saanvi in the ratio 1 : 9. How many rupees does Priya get?
5. 5.2 : 9 = 16 : ?
6. 6.Write the ratio 16 : 36 in its simplest form. (a) 5 : 10 (b) 16 : 36 (c) 9 : 4 (d) 4 : 9
7. 7.2 : 3 = 14 : ?
8. 8.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
9. 9.₹900 is shared between Aditya and Lakshmi in the ratio 3 : 7. How many rupees does Aditya get?
10. 10.Write the ratio 42 : 7 in its simplest form. (a) 6 : 1 (b) 7 : 2 (c) 42 : 7 (d) 1 : 6
11. 11.If 7 chocolates cost ₹420, how many rupees do 4 chocolates cost?
12. 12.₹700 is shared between Kabir and Priya in the ratio 3 : 7. How many rupees does Priya get?
13. 13.Are 3, 21, 4 and 28 in proportion? (a) Yes (b) No
14. 14.4 : 9 = ? : 90
15. 15.₹1440 is shared between Karan and Arjun in the ratio 3 : 5. How many rupees does Arjun get?
16. 16.Write the ratio 18 : 12 in its simplest form. (a) 4 : 3 (b) 18 : 12 (c) 3 : 2 (d) 2 : 3
17. 17.A basket has 18 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 63 (b) 2 : 7 (c) 3 : 8 (d) 7 : 2
18. 18.If 7 notebooks cost ₹329, how many rupees do 6 notebooks cost?
19. 19.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
20. 20.₹400 is shared between Saanvi and Ananya in the ratio 1 : 3. How many rupees does Saanvi get?
21. 21.Are 2, 6, 6 and 18 in proportion? (a) Yes (b) No
22. 22.Are 25, 45, 40 and 72 in proportion? (a) No (b) Yes
23. 23.A class has 28 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 28 : 8 (b) 7 : 2 (c) 2 : 7 (d) 8 : 3
24. 24.Write the ratio 14 : 18 in its simplest form. (a) 14 : 18 (b) 7 : 9 (c) 9 : 7 (d) 8 : 10
25. 25.₹160 is shared between Kabir and Aditya in the ratio 7 : 9. How many rupees does Kabir get?
26. 26.Write the ratio 81 : 72 in its simplest form. (a) 9 : 8 (b) 8 : 9 (c) 10 : 9 (d) 81 : 72
27. 27.Are 2, 6, 5 and 18 in proportion? (a) Yes (b) No
28. 28.5 : 6 = ? : 36
29. 29.If 3 mangoes cost ₹60, how many rupees do 7 mangoes cost?
30. 30.Write the ratio 72 : 63 in its simplest form. (a) 8 : 7 (b) 9 : 8 (c) 7 : 8 (d) 72 : 63
31. 31.₹270 is shared between Sneha and Karan in the ratio 1 : 2. How many rupees does Karan get?
32. 32.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
33. 33.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 5 hours?
34. 34.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 8 hours?
35. 35.If 2 chocolates cost ₹20, how many rupees do 5 chocolates cost?
36. 36.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
37. 37.Write the ratio 36 : 8 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 36 : 8 (d) 10 : 3
38. 38.₹1260 is shared between Ananya and Farhan in the ratio 3 : 4. How many rupees does Ananya get?
39. 39.If 9 pens cost ₹108, how many rupees do 2 pens cost?
40. 40.If 2 mangoes cost ₹92, how many rupees do 8 mangoes cost?

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