Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 31 · 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. 1.1 : 7 = 8 : ?
2. 2.If 7 pens cost ₹217, how many rupees do 10 pens cost?
3. 3.Write the ratio 7 : 56 in its simplest form. (a) 7 : 56 (b) 8 : 1 (c) 1 : 8 (d) 2 : 9
4. 4.₹1650 is shared between Ananya and Rohan in the ratio 7 : 8. How many rupees does Rohan get?
5. 5.If 9 chocolates cost ₹450, how many rupees do 6 chocolates cost?
6. 6.7 : 9 = ? : 72
7. 7.Write the ratio 72 : 56 in its simplest form. (a) 9 : 7 (b) 72 : 56 (c) 10 : 8 (d) 7 : 9
8. 8.If 8 notebooks cost ₹152, how many rupees do 9 notebooks cost?
9. 9.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
10. 10.5 : 9 = ? : 27
11. 11.A basket has 2 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 2 : 3 (c) 2 : 4 (d) 1 : 2
12. 12.Are 8, 12, 14 and 23 in proportion? (a) Yes (b) No
13. 13.₹700 is shared between Rohan and Ananya in the ratio 1 : 9. How many rupees does Rohan get?
14. 14.7 : 9 = 70 : ?
15. 15.If 8 mangoes cost ₹56, how many rupees do 9 mangoes cost?
16. 16.Are 18, 30, 6 and 12 in proportion? (a) Yes (b) No
17. 17.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 6 hours?
18. 18.2 : 3 = 10 : ?
19. 19.2 : 7 = 12 : ?
20. 20.5 : 9 = 30 : ?
21. 21.₹520 is shared between Saanvi and Aarav in the ratio 1 : 3. How many rupees does Aarav get?
22. 22.₹480 is shared between Ishaan and Nisha in the ratio 5 : 7. How many rupees does Ishaan get?
23. 23.Write the ratio 72 : 81 in its simplest form. (a) 72 : 81 (b) 9 : 10 (c) 8 : 9 (d) 9 : 8
24. 24.2 : 5 = ? : 45
25. 25.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
26. 26.If 8 ice creams cost ₹120, how many rupees do 9 ice creams cost?
27. 27.A library shelf has 6 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 6 : 9
28. 28.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
29. 29.Write the ratio 18 : 21 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 18 : 21 (d) 7 : 6
30. 30.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
31. 31.Write the ratio 24 : 30 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 24 : 30
32. 32.Write the ratio 36 : 20 in its simplest form. (a) 10 : 6 (b) 9 : 5 (c) 36 : 20 (d) 5 : 9
33. 33.Are 6, 36, 5 and 31 in proportion? (a) No (b) Yes
34. 34.Write the ratio 20 : 36 in its simplest form. (a) 20 : 36 (b) 9 : 5 (c) 6 : 10 (d) 5 : 9
35. 35.Write the ratio 18 : 6 in its simplest form. (a) 1 : 3 (b) 18 : 6 (c) 4 : 2 (d) 3 : 1
36. 36.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
37. 37.Write the ratio 6 : 4 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 6 : 4
38. 38.Write the ratio 6 : 24 in its simplest form. (a) 6 : 24 (b) 1 : 4 (c) 4 : 1 (d) 2 : 5
39. 39.If 3 ice creams cost ₹12, how many rupees do 8 ice creams cost?
40. 40.If 9 notebooks cost ₹540, how many rupees do 5 notebooks cost?

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