Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 234 · 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 20 : 28 in its simplest form. (a) 6 : 8 (b) 5 : 7 (c) 7 : 5 (d) 20 : 28
2. 2.1 : 4 = 9 : ?
3. 3.A box has 10 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 10 : 25 (d) 3 : 6
4. 4.₹1690 is shared between Priya and Karan in the ratio 6 : 7. How many rupees does Priya get?
5. 5.Write the ratio 6 : 2 in its simplest form. (a) 1 : 3 (b) 4 : 2 (c) 6 : 2 (d) 3 : 1
6. 6.A class has 8 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 8 : 12 (c) 2 : 3 (d) 3 : 2
7. 7.A class has 18 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 3 : 8 (d) 18 : 63
8. 8.1 : 5 = 2 : ?
9. 9.1 : 8 = ? : 72
10. 10.Write the ratio 18 : 24 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 18 : 24 (d) 3 : 4
11. 11.4 : 9 = ? : 81
12. 12.1 : 9 = ? : 90
13. 13.A basket has 10 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 6 : 2 (c) 5 : 1 (d) 10 : 2
14. 14.3 : 4 = ? : 20
15. 15.A bus goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
16. 16.If 2 bus tickets cost ₹100, how many rupees do 9 bus tickets cost?
17. 17.A basket has 24 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 24 : 9 (c) 9 : 4 (d) 3 : 8
18. 18.A garden has 12 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 6 (b) 4 : 5 (c) 5 : 4 (d) 12 : 15
19. 19.A class has 7 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 7 : 28
20. 20.Are 6, 36, 7 and 44 in proportion? (a) Yes (b) No
21. 21.Write the ratio 25 : 5 in its simplest form. (a) 25 : 5 (b) 5 : 1 (c) 6 : 2 (d) 1 : 5
22. 22.4 : 5 = ? : 40
23. 23.₹2090 is shared between Kabir and Vivaan in the ratio 2 : 9. How many rupees does Vivaan get?
24. 24.If 7 bus tickets cost ₹329, how many rupees do 10 bus tickets cost?
25. 25.Write the ratio 72 : 16 in its simplest form. (a) 72 : 16 (b) 10 : 3 (c) 2 : 9 (d) 9 : 2
26. 26.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
27. 27.1 : 7 = 2 : ?
28. 28.4 : 5 = 24 : ?
29. 29.Are 30, 35, 36 and 42 in proportion? (a) Yes (b) No
30. 30.5 : 8 = 10 : ?
31. 31.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
32. 32.₹2080 is shared between Kabir and Dev in the ratio 5 : 8. How many rupees does Kabir get?
33. 33.₹260 is shared between Dev and Meera in the ratio 4 : 9. How many rupees does Meera get?
34. 34.6 : 7 = ? : 42
35. 35.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
36. 36.₹980 is shared between Rohan and Sneha in the ratio 3 : 4. How many rupees does Sneha get?
37. 37.Write the ratio 12 : 27 in its simplest form. (a) 4 : 9 (b) 5 : 10 (c) 12 : 27 (d) 9 : 4
38. 38.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
39. 39.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
40. 40.8 : 9 = ? : 72

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