Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 267 · 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.If 6 ice creams cost ₹348, how many rupees do 4 ice creams cost?
2. 2.5 : 7 = 30 : ?
3. 3.A box has 20 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 6 : 3 (c) 20 : 8 (d) 5 : 2
4. 4.Write the ratio 9 : 36 in its simplest form. (a) 2 : 5 (b) 9 : 36 (c) 4 : 1 (d) 1 : 4
5. 5.₹1530 is shared between Dev and Farhan in the ratio 4 : 5. How many rupees does Dev get?
6. 6.2 : 5 = 6 : ?
7. 7.1 : 7 = 10 : ?
8. 8.A team has 40 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 40 : 48 (b) 6 : 5 (c) 6 : 7 (d) 5 : 6
9. 9.₹2600 is shared between Rahul and Kabir in the ratio 6 : 7. How many rupees does Rahul get?
10. 10.Are 3, 18, 2 and 15 in proportion? (a) No (b) Yes
11. 11.Are 20, 35, 24 and 42 in proportion? (a) Yes (b) No
12. 12.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
13. 13.Are 16, 28, 12 and 21 in proportion? (a) Yes (b) No
14. 14.A garden has 45 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 45 : 18 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
15. 15.Write the ratio 72 : 16 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 10 : 3 (d) 72 : 16
16. 16.Write the ratio 3 : 21 in its simplest form. (a) 3 : 21 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
17. 17.Write the ratio 40 : 35 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 9 : 8 (d) 40 : 35
18. 18.If 9 pens cost ₹414, how many rupees do 3 pens cost?
19. 19.Write the ratio 3 : 24 in its simplest form. (a) 1 : 8 (b) 3 : 24 (c) 2 : 9 (d) 8 : 1
20. 20.₹300 is shared between Rahul and Nisha in the ratio 2 : 3. How many rupees does Rahul get?
21. 21.₹350 is shared between Rohan and Sneha in the ratio 2 : 5. How many rupees does Sneha get?
22. 22.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
23. 23.₹1540 is shared between Arjun and Vivaan in the ratio 3 : 8. How many rupees does Arjun get?
24. 24.8 : 9 = 24 : ?
25. 25.Write the ratio 30 : 54 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 6 : 10 (d) 30 : 54
26. 26.₹2380 is shared between Isha and Vivaan in the ratio 8 : 9. How many rupees does Vivaan get?
27. 27.If 2 pens cost ₹82, how many rupees do 11 pens cost?
28. 28.3 : 8 = ? : 40
29. 29.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 6 : 7 (c) 12 : 14 (d) 7 : 8
30. 30.If 3 chocolates cost ₹93, how many rupees do 7 chocolates cost?
31. 31.If 9 notebooks cost ₹306, how many rupees do 11 notebooks cost?
32. 32.A basket has 45 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 45 : 20 (d) 10 : 5
33. 33.₹280 is shared between Diya and Gurpreet in the ratio 1 : 6. How many rupees does Diya get?
34. 34.A class has 20 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 32 (b) 5 : 8 (c) 6 : 9 (d) 8 : 5
35. 35.If 3 pens cost ₹24, how many rupees do 9 pens cost?
36. 36.If 4 pens cost ₹16, how many rupees do 11 pens cost?
37. 37.Write the ratio 42 : 30 in its simplest form. (a) 8 : 6 (b) 42 : 30 (c) 5 : 7 (d) 7 : 5
38. 38.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
39. 39.4 : 7 = ? : 35
40. 40.If 3 ice creams cost ₹123, how many rupees do 8 ice creams cost?

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