Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 80 · 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.A garden has 8 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 36 (b) 9 : 2 (c) 3 : 10 (d) 2 : 9
2. 2.A basket has 12 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 3 : 2 (c) 1 : 2 (d) 12 : 6
3. 3.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
4. 4.A basket has 21 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 56 (b) 3 : 8 (c) 4 : 9 (d) 8 : 3
5. 5.2 : 5 = ? : 45
6. 6.Are 25, 45, 45 and 81 in proportion? (a) No (b) Yes
7. 7.Write the ratio 40 : 45 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 40 : 45 (d) 9 : 10
8. 8.1 : 4 = ? : 32
9. 9.Are 28, 36, 49 and 63 in proportion? (a) No (b) Yes
10. 10.4 : 7 = ? : 49
11. 11.Are 6, 36, 9 and 54 in proportion? (a) Yes (b) No
12. 12.₹960 is shared between Pooja and Karan in the ratio 1 : 7. How many rupees does Karan get?
13. 13.₹770 is shared between Riya and Rahul in the ratio 3 : 4. How many rupees does Riya get?
14. 14.Write the ratio 40 : 64 in its simplest form. (a) 8 : 5 (b) 40 : 64 (c) 5 : 8 (d) 6 : 9
15. 15.A basket has 40 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 40 : 8 (c) 5 : 1 (d) 6 : 2
16. 16.A class has 72 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 2 (b) 72 : 8 (c) 1 : 9 (d) 9 : 1
17. 17.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
18. 18.A class has 6 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 10 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
19. 19.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 6 hours?
20. 20.3 : 4 = 9 : ?
21. 21.A team has 8 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 8 : 48
22. 22.4 : 9 = ? : 63
23. 23.A team has 15 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 15 : 27 (d) 5 : 9
24. 24.Write the ratio 21 : 12 in its simplest form. (a) 4 : 7 (b) 8 : 5 (c) 7 : 4 (d) 21 : 12
25. 25.A class has 36 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 36 : 81 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
26. 26.1 : 8 = 9 : ?
27. 27.Write the ratio 63 : 81 in its simplest form. (a) 9 : 7 (b) 63 : 81 (c) 7 : 9 (d) 8 : 10
28. 28.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
29. 29.Write the ratio 5 : 10 in its simplest form. (a) 1 : 2 (b) 5 : 10 (c) 2 : 3 (d) 2 : 1
30. 30.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
31. 31.If 3 pens cost ₹12, how many rupees do 10 pens cost?
32. 32.If 3 mangoes cost ₹90, how many rupees do 11 mangoes cost?
33. 33.₹2850 is shared between Arjun and Vivaan in the ratio 7 : 8. How many rupees does Vivaan get?
34. 34.Write the ratio 40 : 8 in its simplest form. (a) 1 : 5 (b) 6 : 2 (c) 5 : 1 (d) 40 : 8
35. 35.₹80 is shared between Zoya and Kabir in the ratio 1 : 7. How many rupees does Kabir get?
36. 36.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
37. 37.If 5 mangoes cost ₹15, how many rupees do 2 mangoes cost?
38. 38.₹770 is shared between Priya and Rohan in the ratio 3 : 4. How many rupees does Rohan get?
39. 39.Are 18, 24, 12 and 16 in proportion? (a) No (b) Yes
40. 40.Are 5, 10, 9 and 18 in proportion? (a) Yes (b) No

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