Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 263 · 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 12, 14, 54 and 65 in proportion? (a) No (b) Yes
2. 2.If 7 notebooks cost ₹266, how many rupees do 10 notebooks cost?
3. 3.A box has 40 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 5 (b) 40 : 8 (c) 6 : 2 (d) 5 : 1
4. 4.Write the ratio 12 : 30 in its simplest form. (a) 3 : 6 (b) 12 : 30 (c) 5 : 2 (d) 2 : 5
5. 5.A garden has 28 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 28 : 12 (b) 7 : 3 (c) 3 : 7 (d) 8 : 4
6. 6.1 : 8 = 7 : ?
7. 7.1 : 3 = 6 : ?
8. 8.Write the ratio 48 : 6 in its simplest form. (a) 9 : 2 (b) 1 : 8 (c) 48 : 6 (d) 8 : 1
9. 9.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
10. 10.Write the ratio 14 : 12 in its simplest form. (a) 7 : 6 (b) 8 : 7 (c) 6 : 7 (d) 14 : 12
11. 11.₹400 is shared between Aarav and Ananya in the ratio 3 : 5. How many rupees does Aarav get?
12. 12.Write the ratio 21 : 28 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 21 : 28
13. 13.Are 20, 28, 25 and 36 in proportion? (a) Yes (b) No
14. 14.Write the ratio 4 : 12 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 4 : 12 (d) 2 : 4
15. 15.Are 2, 12, 6 and 36 in proportion? (a) Yes (b) No
16. 16.Write the ratio 10 : 35 in its simplest form. (a) 2 : 7 (b) 10 : 35 (c) 7 : 2 (d) 3 : 8
17. 17.₹350 is shared between Dev and Aditya in the ratio 2 : 5. How many rupees does Aditya get?
18. 18.Are 8, 10, 32 and 40 in proportion? (a) Yes (b) No
19. 19.A box has 14 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 14 : 12 (b) 7 : 6 (c) 8 : 7 (d) 6 : 7
20. 20.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
21. 21.If 7 notebooks cost ₹238, how many rupees do 11 notebooks cost?
22. 22.₹2000 is shared between Isha and Saanvi in the ratio 1 : 9. How many rupees does Isha get?
23. 23.A train goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
24. 24.Write the ratio 63 : 7 in its simplest form. (a) 63 : 7 (b) 1 : 9 (c) 10 : 2 (d) 9 : 1
25. 25.₹2250 is shared between Aarav and Arjun in the ratio 7 : 8. How many rupees does Aarav get?
26. 26.₹100 is shared between Priya and Diya in the ratio 2 : 3. How many rupees does Priya get?
27. 27.If 6 ice creams cost ₹324, how many rupees do 10 ice creams cost?
28. 28.Write the ratio 21 : 24 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 21 : 24 (d) 8 : 7
29. 29.Are 3, 9, 4 and 12 in proportion? (a) No (b) Yes
30. 30.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?
31. 31.If 6 chocolates cost ₹96, how many rupees do 11 chocolates cost?
32. 32.Are 10, 12, 15 and 18 in proportion? (a) No (b) Yes
33. 33.Write the ratio 2 : 14 in its simplest form. (a) 2 : 8 (b) 2 : 14 (c) 7 : 1 (d) 1 : 7
34. 34.A team has 10 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 10 : 5 (d) 2 : 1
35. 35.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
36. 36.If 3 bus tickets cost ₹51, how many rupees do 5 bus tickets cost?
37. 37.1 : 7 = ? : 56
38. 38.Are 24, 30, 36 and 46 in proportion? (a) Yes (b) No
39. 39.If 2 pens cost ₹86, how many rupees do 6 pens cost?
40. 40.A class has 25 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 25 : 20 (b) 5 : 4 (c) 4 : 5 (d) 6 : 5

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