Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 246 · 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.₹960 is shared between Priya and Meera in the ratio 7 : 9. How many rupees does Meera get?
2. 2.₹80 is shared between Ishaan and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
3. 3.Write the ratio 40 : 16 in its simplest form. (a) 40 : 16 (b) 2 : 5 (c) 5 : 2 (d) 6 : 3
4. 4.Write the ratio 2 : 12 in its simplest form. (a) 2 : 12 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
5. 5.₹1560 is shared between Manav and Joseph in the ratio 4 : 9. How many rupees does Joseph get?
6. 6.Are 16, 28, 28 and 50 in proportion? (a) No (b) Yes
7. 7.2 : 5 = ? : 30
8. 8.A class has 72 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 72 : 32 (d) 4 : 9
9. 9.Are 2, 12, 5 and 30 in proportion? (a) No (b) Yes
10. 10.A box has 16 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 7 (b) 9 : 8 (c) 16 : 14 (d) 7 : 8
11. 11.A class has 35 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 35 : 20 (c) 4 : 7 (d) 7 : 4
12. 12.Are 2, 10, 6 and 31 in proportion? (a) No (b) Yes
13. 13.If 5 mangoes cost ₹80, how many rupees do 8 mangoes cost?
14. 14.7 : 8 = 63 : ?
15. 15.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
16. 16.A basket has 81 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 8 (b) 7 : 9 (c) 9 : 7 (d) 81 : 63
17. 17.Are 6, 27, 10 and 45 in proportion? (a) No (b) Yes
18. 18.₹360 is shared between Vivaan and Ishaan in the ratio 5 : 7. How many rupees does Ishaan get?
19. 19.If 2 bus tickets cost ₹38, how many rupees do 3 bus tickets cost?
20. 20.If 9 bus tickets cost ₹261, how many rupees do 5 bus tickets cost?
21. 21.4 : 7 = 24 : ?
22. 22.Write the ratio 20 : 16 in its simplest form. (a) 6 : 5 (b) 20 : 16 (c) 5 : 4 (d) 4 : 5
23. 23.₹220 is shared between Joseph and Sneha in the ratio 4 : 7. How many rupees does Sneha get?
24. 24.4 : 9 = ? : 36
25. 25.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
26. 26.If 5 bus tickets cost ₹140, how many rupees do 10 bus tickets cost?
27. 27.A box has 42 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 7 (b) 42 : 49 (c) 7 : 6 (d) 7 : 8
28. 28.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
29. 29.₹1080 is shared between Priya and Rahul in the ratio 5 : 7. How many rupees does Priya get?
30. 30.If 5 bus tickets cost ₹245, how many rupees do 7 bus tickets cost?
31. 31.Are 6, 27, 16 and 72 in proportion? (a) Yes (b) No
32. 32.5 : 7 = 35 : ?
33. 33.Write the ratio 5 : 35 in its simplest form. (a) 5 : 35 (b) 7 : 1 (c) 2 : 8 (d) 1 : 7
34. 34.Are 2, 10, 7 and 35 in proportion? (a) No (b) Yes
35. 35.5 : 8 = ? : 72
36. 36.Are 4, 32, 5 and 42 in proportion? (a) Yes (b) No
37. 37.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
38. 38.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
39. 39.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
40. 40.8 : 9 = 72 : ?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets