Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 418 · 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 45 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 45 : 81
2. 2.Are 4, 8, 8 and 17 in proportion? (a) Yes (b) No
3. 3.Are 12, 27, 20 and 45 in proportion? (a) No (b) Yes
4. 4.If 6 pens cost ₹90, how many rupees do 10 pens cost?
5. 5.Write the ratio 81 : 36 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 81 : 36
6. 6.A car goes 195 km in 3 hours. At the same speed, how many km does it go in 8 hours?
7. 7.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 6 hours?
8. 8.₹250 is shared between Ananya and Priya in the ratio 1 : 4. How many rupees does Ananya get?
9. 9.5 : 9 = 50 : ?
10. 10.1 : 5 = ? : 50
11. 11.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
12. 12.1 : 3 = 3 : ?
13. 13.A class has 21 boys and 49 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 7 (b) 21 : 49 (c) 4 : 8 (d) 7 : 3
14. 14.5 : 6 = ? : 48
15. 15.If 2 pens cost ₹58, how many rupees do 4 pens cost?
16. 16.Write the ratio 56 : 8 in its simplest form. (a) 56 : 8 (b) 8 : 2 (c) 7 : 1 (d) 1 : 7
17. 17.Write the ratio 5 : 30 in its simplest form. (a) 6 : 1 (b) 5 : 30 (c) 2 : 7 (d) 1 : 6
18. 18.If 3 chocolates cost ₹48, how many rupees do 12 chocolates cost?
19. 19.If 3 ice creams cost ₹48, how many rupees do 10 ice creams cost?
20. 20.1 : 9 = 5 : ?
21. 21.Are 8, 18, 32 and 72 in proportion? (a) No (b) Yes
22. 22.Are 16, 20, 28 and 37 in proportion? (a) Yes (b) No
23. 23.Write the ratio 4 : 12 in its simplest form. (a) 2 : 4 (b) 1 : 3 (c) 3 : 1 (d) 4 : 12
24. 24.A scooter goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
25. 25.Write the ratio 16 : 14 in its simplest form. (a) 8 : 7 (b) 16 : 14 (c) 9 : 8 (d) 7 : 8
26. 26.If 5 notebooks cost ₹90, how many rupees do 12 notebooks cost?
27. 27.A basket has 12 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 12 : 21
28. 28.If 3 pens cost ₹177, how many rupees do 4 pens cost?
29. 29.A scooter goes 150 km in 3 hours. At the same speed, how many km does it go in 7 hours?
30. 30.₹2470 is shared between Vivaan and Gurpreet in the ratio 6 : 7. How many rupees does Vivaan get?
31. 31.Write the ratio 6 : 27 in its simplest form. (a) 3 : 10 (b) 6 : 27 (c) 2 : 9 (d) 9 : 2
32. 32.5 : 8 = ? : 48
33. 33.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
34. 34.If 7 notebooks cost ₹49, how many rupees do 11 notebooks cost?
35. 35.If 2 bus tickets cost ₹28, how many rupees do 11 bus tickets cost?
36. 36.Write the ratio 21 : 28 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 3 : 4 (d) 21 : 28
37. 37.Write the ratio 32 : 72 in its simplest form. (a) 5 : 10 (b) 4 : 9 (c) 9 : 4 (d) 32 : 72
38. 38.₹1020 is shared between Kavya and Arjun in the ratio 8 : 9. How many rupees does Arjun get?
39. 39.If 9 notebooks cost ₹162, how many rupees do 2 notebooks cost?
40. 40.Write the ratio 12 : 4 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 4 : 2 (d) 12 : 4

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