Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 133 · 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.₹1260 is shared between Karan and Isha in the ratio 3 : 4. How many rupees does Karan get?
2. 2.₹360 is shared between Aarav and Vivaan in the ratio 5 : 7. How many rupees does Vivaan get?
3. 3.Write the ratio 27 : 18 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 27 : 18
4. 4.₹1120 is shared between Ishaan and Kavya in the ratio 7 : 9. How many rupees does Ishaan get?
5. 5.Write the ratio 6 : 36 in its simplest form. (a) 1 : 6 (b) 2 : 7 (c) 6 : 1 (d) 6 : 36
6. 6.Are 6, 30, 8 and 42 in proportion? (a) No (b) Yes
7. 7.A class has 40 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 6 (b) 5 : 8 (c) 40 : 25 (d) 8 : 5
8. 8.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?
9. 9.2 : 9 = 20 : ?
10. 10.Are 20, 25, 28 and 36 in proportion? (a) Yes (b) No
11. 11.Are 10, 45, 8 and 36 in proportion? (a) Yes (b) No
12. 12.Are 20, 36, 40 and 72 in proportion? (a) No (b) Yes
13. 13.Write the ratio 40 : 64 in its simplest form. (a) 8 : 5 (b) 40 : 64 (c) 6 : 9 (d) 5 : 8
14. 14.Are 6, 8, 24 and 34 in proportion? (a) No (b) Yes
15. 15.A basket has 30 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 30 : 36 (c) 6 : 7 (d) 6 : 5
16. 16.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
17. 17.Are 12, 27, 24 and 57 in proportion? (a) Yes (b) No
18. 18.Are 2, 14, 7 and 49 in proportion? (a) Yes (b) No
19. 19.A team has 28 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 28 : 24 (d) 8 : 7
20. 20.Write the ratio 15 : 9 in its simplest form. (a) 15 : 9 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
21. 21.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
22. 22.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 5 hours?
23. 23.If 5 ice creams cost ₹115, how many rupees do 7 ice creams cost?
24. 24.Write the ratio 64 : 72 in its simplest form. (a) 8 : 9 (b) 64 : 72 (c) 9 : 8 (d) 9 : 10
25. 25.1 : 3 = ? : 12
26. 26.₹630 is shared between Kabir and Gurpreet in the ratio 2 : 5. How many rupees does Kabir get?
27. 27.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
28. 28.1 : 8 = ? : 72
29. 29.A basket has 14 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 8 : 5 (d) 14 : 8
30. 30.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
31. 31.Write the ratio 25 : 30 in its simplest form. (a) 6 : 5 (b) 6 : 7 (c) 5 : 6 (d) 25 : 30
32. 32.A box has 18 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 18 : 27
33. 33.If 8 notebooks cost ₹328, how many rupees do 6 notebooks cost?
34. 34.2 : 7 = 8 : ?
35. 35.If 3 pens cost ₹126, how many rupees do 6 pens cost?
36. 36.If 3 mangoes cost ₹9, how many rupees do 12 mangoes cost?
37. 37.Write the ratio 2 : 16 in its simplest form. (a) 2 : 9 (b) 2 : 16 (c) 8 : 1 (d) 1 : 8
38. 38.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
39. 39.₹360 is shared between Ananya and Tara in the ratio 1 : 8. How many rupees does Ananya get?
40. 40.₹450 is shared between Dev and Farhan in the ratio 1 : 8. How many rupees does Dev get?

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