Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 134 · 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 9 pens cost ₹378, how many rupees do 2 pens cost?
2. 2.₹1080 is shared between Rahul and Ishaan in the ratio 1 : 5. How many rupees does Ishaan get?
3. 3.4 : 5 = 32 : ?
4. 4.Write the ratio 16 : 20 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 16 : 20
5. 5.Are 18, 24, 21 and 28 in proportion? (a) No (b) Yes
6. 6.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 6 hours?
7. 7.2 : 7 = ? : 35
8. 8.A basket has 63 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 6 (b) 63 : 35 (c) 9 : 5 (d) 5 : 9
9. 9.Write the ratio 16 : 56 in its simplest form. (a) 2 : 7 (b) 3 : 8 (c) 16 : 56 (d) 7 : 2
10. 10.Are 20, 32, 45 and 74 in proportion? (a) No (b) Yes
11. 11.1 : 6 = ? : 12
12. 12.A team has 63 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 63 : 28 (d) 4 : 9
13. 13.2 : 7 = ? : 42
14. 14.If 3 chocolates cost ₹117, how many rupees do 2 chocolates cost?
15. 15.Are 40, 45, 24 and 29 in proportion? (a) Yes (b) No
16. 16.5 : 9 = ? : 27
17. 17.Are 25, 35, 35 and 51 in proportion? (a) No (b) Yes
18. 18.Write the ratio 15 : 5 in its simplest form. (a) 1 : 3 (b) 15 : 5 (c) 4 : 2 (d) 3 : 1
19. 19.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 3 hours?
20. 20.Are 4, 6, 10 and 16 in proportion? (a) Yes (b) No
21. 21.Are 3, 21, 4 and 28 in proportion? (a) No (b) Yes
22. 22.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
23. 23.1 : 5 = 4 : ?
24. 24.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
25. 25.Write the ratio 18 : 45 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 18 : 45
26. 26.Write the ratio 42 : 6 in its simplest form. (a) 8 : 2 (b) 42 : 6 (c) 7 : 1 (d) 1 : 7
27. 27.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
28. 28.Write the ratio 24 : 54 in its simplest form. (a) 5 : 10 (b) 9 : 4 (c) 4 : 9 (d) 24 : 54
29. 29.If 4 pens cost ₹68, how many rupees do 3 pens cost?
30. 30.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 7 hours?
31. 31.Write the ratio 12 : 14 in its simplest form. (a) 6 : 7 (b) 7 : 6 (c) 7 : 8 (d) 12 : 14
32. 32.A scooter goes 325 km in 5 hours. At the same speed, how many km does it go in 7 hours?
33. 33.If 3 ice creams cost ₹24, how many rupees do 8 ice creams cost?
34. 34.If 6 chocolates cost ₹108, how many rupees do 9 chocolates cost?
35. 35.A library shelf has 20 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 5 (b) 5 : 4 (c) 4 : 5 (d) 20 : 16
36. 36.If 5 chocolates cost ₹30, how many rupees do 8 chocolates cost?
37. 37.Are 6, 30, 8 and 41 in proportion? (a) Yes (b) No
38. 38.Are 5, 45, 3 and 30 in proportion? (a) Yes (b) No
39. 39.If 5 notebooks cost ₹80, how many rupees do 4 notebooks cost?
40. 40.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?

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