Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 342 · 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.A class has 54 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 9 (b) 54 : 30 (c) 9 : 5 (d) 10 : 6
2. 2.₹250 is shared between Pooja and Kabir in the ratio 2 : 3. How many rupees does Kabir get?
3. 3.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
4. 4.₹1760 is shared between Pooja and Tara in the ratio 2 : 9. How many rupees does Tara get?
5. 5.If 4 mangoes cost ₹72, how many rupees do 7 mangoes cost?
6. 6.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
7. 7.Write the ratio 28 : 32 in its simplest form. (a) 28 : 32 (b) 8 : 7 (c) 8 : 9 (d) 7 : 8
8. 8.A basket has 3 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 3 : 12
9. 9.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
10. 10.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
11. 11.Write the ratio 10 : 15 in its simplest form. (a) 10 : 15 (b) 3 : 2 (c) 3 : 4 (d) 2 : 3
12. 12.4 : 9 = ? : 63
13. 13.Write the ratio 3 : 27 in its simplest form. (a) 1 : 9 (b) 3 : 27 (c) 9 : 1 (d) 2 : 10
14. 14.3 : 5 = ? : 30
15. 15.₹1210 is shared between Riya and Joseph in the ratio 5 : 6. How many rupees does Joseph get?
16. 16.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
17. 17.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
18. 18.If 5 ice creams cost ₹60, how many rupees do 7 ice creams cost?
19. 19.5 : 6 = 15 : ?
20. 20.Write the ratio 63 : 81 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 63 : 81
21. 21.If 2 chocolates cost ₹16, how many rupees do 10 chocolates cost?
22. 22.A team has 35 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 35 : 56 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
23. 23.1 : 9 = 8 : ?
24. 24.Are 9, 21, 24 and 59 in proportion? (a) Yes (b) No
25. 25.Are 18, 24, 21 and 28 in proportion? (a) Yes (b) No
26. 26.If 4 ice creams cost ₹116, how many rupees do 11 ice creams cost?
27. 27.1 : 5 = ? : 25
28. 28.₹400 is shared between Kabir and Vivaan in the ratio 3 : 5. How many rupees does Kabir get?
29. 29.7 : 9 = ? : 18
30. 30.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 8 hours?
31. 31.Write the ratio 12 : 32 in its simplest form. (a) 12 : 32 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
32. 32.Are 6, 14, 9 and 23 in proportion? (a) No (b) Yes
33. 33.A basket has 10 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 7 (b) 10 : 14 (c) 7 : 5 (d) 6 : 8
34. 34.1 : 4 = ? : 32
35. 35.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
36. 36.If 7 pens cost ₹147, how many rupees do 5 pens cost?
37. 37.If 7 bus tickets cost ₹126, how many rupees do 3 bus tickets cost?
38. 38.2 : 5 = 18 : ?
39. 39.5 : 7 = ? : 63
40. 40.₹2090 is shared between Vivaan and Pooja in the ratio 5 : 6. How many rupees does Pooja get?

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