Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 166 · 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 2 pens cost ₹8, how many rupees do 8 pens cost?
2. 2.₹700 is shared between Karan and Isha in the ratio 2 : 5. How many rupees does Isha get?
3. 3.A basket has 63 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 63 : 45
4. 4.Write the ratio 6 : 27 in its simplest form. (a) 9 : 2 (b) 6 : 27 (c) 2 : 9 (d) 3 : 10
5. 5.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
6. 6.A box has 16 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 4 (b) 3 : 2 (c) 2 : 3 (d) 16 : 24
7. 7.3 : 4 = 27 : ?
8. 8.2 : 9 = ? : 27
9. 9.Are 24, 42, 16 and 31 in proportion? (a) Yes (b) No
10. 10.4 : 7 = ? : 28
11. 11.Write the ratio 15 : 25 in its simplest form. (a) 15 : 25 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
12. 12.Write the ratio 28 : 21 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 4 : 3 (d) 28 : 21
13. 13.Are 2, 8, 9 and 37 in proportion? (a) No (b) Yes
14. 14.Are 3, 6, 6 and 13 in proportion? (a) Yes (b) No
15. 15.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 8 hours?
16. 16.Write the ratio 40 : 35 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 40 : 35
17. 17.If 9 bus tickets cost ₹45, how many rupees do 2 bus tickets cost?
18. 18.Write the ratio 8 : 64 in its simplest form. (a) 8 : 1 (b) 8 : 64 (c) 1 : 8 (d) 2 : 9
19. 19.₹1040 is shared between Manav and Isha in the ratio 5 : 8. How many rupees does Manav get?
20. 20.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 1 hour?
21. 21.Write the ratio 72 : 32 in its simplest form. (a) 10 : 5 (b) 4 : 9 (c) 9 : 4 (d) 72 : 32
22. 22.Write the ratio 24 : 42 in its simplest form. (a) 5 : 8 (b) 24 : 42 (c) 7 : 4 (d) 4 : 7
23. 23.If 4 chocolates cost ₹12, how many rupees do 2 chocolates cost?
24. 24.If 7 mangoes cost ₹231, how many rupees do 12 mangoes cost?
25. 25.Write the ratio 36 : 4 in its simplest form. (a) 10 : 2 (b) 9 : 1 (c) 36 : 4 (d) 1 : 9
26. 26.2 : 3 = ? : 18
27. 27.5 : 6 = 40 : ?
28. 28.A basket has 2 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 2 : 18 (c) 9 : 1 (d) 2 : 10
29. 29.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
30. 30.If 8 ice creams cost ₹256, how many rupees do 3 ice creams cost?
31. 31.A team has 4 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 1 (b) 4 : 32 (c) 2 : 9 (d) 1 : 8
32. 32.Write the ratio 2 : 8 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 2 : 8 (d) 2 : 5
33. 33.A team has 18 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 8 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
34. 34.7 : 8 = 28 : ?
35. 35.Write the ratio 24 : 16 in its simplest form. (a) 24 : 16 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
36. 36.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 7 hours?
37. 37.Write the ratio 21 : 7 in its simplest form. (a) 4 : 2 (b) 21 : 7 (c) 1 : 3 (d) 3 : 1
38. 38.₹450 is shared between Kavya and Zoya in the ratio 2 : 7. How many rupees does Kavya get?
39. 39.6 : 7 = 54 : ?
40. 40.₹440 is shared between Arjun and Joseph in the ratio 3 : 8. How many rupees does Arjun get?

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