Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 312 · 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.₹140 is shared between Rohan and Saanvi in the ratio 5 : 9. How many rupees does Rohan get?
2. 2.7 : 9 = ? : 63
3. 3.If 3 mangoes cost ₹81, how many rupees do 4 mangoes cost?
4. 4.If 9 chocolates cost ₹27, how many rupees do 3 chocolates cost?
5. 5.6 : 7 = ? : 56
6. 6.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Write the ratio 45 : 35 in its simplest form. (a) 45 : 35 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
8. 8.Write the ratio 2 : 12 in its simplest form. (a) 2 : 7 (b) 1 : 6 (c) 6 : 1 (d) 2 : 12
9. 9.₹140 is shared between Kavya and Rohan in the ratio 5 : 9. How many rupees does Kavya get?
10. 10.If 4 notebooks cost ₹104, how many rupees do 9 notebooks cost?
11. 11.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 5 hours?
12. 12.Are 14, 16, 63 and 73 in proportion? (a) No (b) Yes
13. 13.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
14. 14.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 3 hours?
15. 15.5 : 6 = 15 : ?
16. 16.Write the ratio 25 : 45 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 25 : 45
17. 17.A garden has 32 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 4 (b) 32 : 72 (c) 4 : 9 (d) 5 : 10
18. 18.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 5 hours?
19. 19.Write the ratio 28 : 63 in its simplest form. (a) 28 : 63 (b) 9 : 4 (c) 4 : 9 (d) 5 : 10
20. 20.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 7 hours?
21. 21.₹200 is shared between Farhan and Meera in the ratio 1 : 3. How many rupees does Farhan get?
22. 22.Write the ratio 16 : 24 in its simplest form. (a) 16 : 24 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
23. 23.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
24. 24.Are 16, 28, 24 and 43 in proportion? (a) No (b) Yes
25. 25.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 3 hours?
26. 26.3 : 8 = ? : 56
27. 27.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5
28. 28.1 : 6 = ? : 36
29. 29.A class has 5 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 8 (b) 1 : 7 (c) 5 : 35 (d) 7 : 1
30. 30.If 7 notebooks cost ₹413, how many rupees do 4 notebooks cost?
31. 31.Write the ratio 24 : 40 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 24 : 40
32. 32.Are 20, 25, 32 and 41 in proportion? (a) Yes (b) No
33. 33.2 : 9 = ? : 27
34. 34.Are 6, 16, 9 and 25 in proportion? (a) Yes (b) No
35. 35.If 7 pens cost ₹140, how many rupees do 11 pens cost?
36. 36.A library shelf has 25 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 25 : 40 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
37. 37.₹720 is shared between Aditya and Joseph in the ratio 2 : 7. How many rupees does Joseph get?
38. 38.Write the ratio 20 : 32 in its simplest form. (a) 5 : 8 (b) 6 : 9 (c) 8 : 5 (d) 20 : 32
39. 39.A box has 2 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 12 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
40. 40.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 3 hours?

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