Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 256 · 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.Are 2, 14, 4 and 31 in proportion? (a) Yes (b) No
2. 2.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 7 hours?
3. 3.₹300 is shared between Lakshmi and Ishaan in the ratio 1 : 5. How many rupees does Ishaan get?
4. 4.Are 2, 10, 7 and 36 in proportion? (a) No (b) Yes
5. 5.₹210 is shared between Arjun and Riya in the ratio 2 : 5. How many rupees does Riya get?
6. 6.A car goes 330 km in 6 hours. At the same speed, how many km does it go in 4 hours?
7. 7.A box has 4 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 8 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3
8. 8.If 7 ice creams cost ₹308, how many rupees do 4 ice creams cost?
9. 9.Are 18, 24, 15 and 21 in proportion? (a) Yes (b) No
10. 10.Write the ratio 8 : 64 in its simplest form. (a) 8 : 64 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
11. 11.Write the ratio 18 : 16 in its simplest form. (a) 8 : 9 (b) 10 : 9 (c) 18 : 16 (d) 9 : 8
12. 12.Are 3, 15, 9 and 45 in proportion? (a) Yes (b) No
13. 13.₹800 is shared between Farhan and Riya in the ratio 7 : 9. How many rupees does Farhan get?
14. 14.2 : 3 = ? : 12
15. 15.Write the ratio 81 : 18 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 81 : 18 (d) 10 : 3
16. 16.Write the ratio 63 : 54 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 7 : 6 (d) 63 : 54
17. 17.Are 25, 40, 10 and 19 in proportion? (a) No (b) Yes
18. 18.Write the ratio 16 : 8 in its simplest form. (a) 16 : 8 (b) 2 : 1 (c) 3 : 2 (d) 1 : 2
19. 19.If 2 mangoes cost ₹10, how many rupees do 5 mangoes cost?
20. 20.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
21. 21.₹1330 is shared between Rohan and Kavya in the ratio 3 : 4. How many rupees does Kavya get?
22. 22.A garden has 25 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 4 (b) 25 : 15 (c) 3 : 5 (d) 5 : 3
23. 23.Write the ratio 14 : 12 in its simplest form. (a) 8 : 7 (b) 14 : 12 (c) 6 : 7 (d) 7 : 6
24. 24.₹680 is shared between Karan and Nisha in the ratio 1 : 3. How many rupees does Nisha get?
25. 25.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 8 hours?
26. 26.Are 3, 24, 8 and 64 in proportion? (a) Yes (b) No
27. 27.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
28. 28.If 5 notebooks cost ₹90, how many rupees do 2 notebooks cost?
29. 29.If 3 notebooks cost ₹33, how many rupees do 7 notebooks cost?
30. 30.Write the ratio 28 : 12 in its simplest form. (a) 7 : 3 (b) 28 : 12 (c) 8 : 4 (d) 3 : 7
31. 31.Are 4, 28, 2 and 17 in proportion? (a) Yes (b) No
32. 32.A box has 20 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 20 : 12 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
33. 33.Write the ratio 6 : 12 in its simplest form. (a) 2 : 1 (b) 6 : 12 (c) 2 : 3 (d) 1 : 2
34. 34.Write the ratio 42 : 18 in its simplest form. (a) 8 : 4 (b) 3 : 7 (c) 7 : 3 (d) 42 : 18
35. 35.If 2 mangoes cost ₹26, how many rupees do 10 mangoes cost?
36. 36.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 1 hour?
37. 37.₹560 is shared between Vivaan and Aarav in the ratio 5 : 9. How many rupees does Aarav get?
38. 38.1 : 3 = ? : 18
39. 39.A box has 24 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 3 (b) 4 : 6 (c) 3 : 5 (d) 24 : 40
40. 40.4 : 7 = ? : 56

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