Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 396 · 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 10 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 6 : 3 (d) 10 : 4
2. 2.Write the ratio 42 : 7 in its simplest form. (a) 42 : 7 (b) 1 : 6 (c) 7 : 2 (d) 6 : 1
3. 3.A class has 4 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 18 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
4. 4.A library shelf has 8 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 7 (b) 6 : 1 (c) 8 : 48 (d) 1 : 6
5. 5.Write the ratio 3 : 18 in its simplest form. (a) 6 : 1 (b) 2 : 7 (c) 1 : 6 (d) 3 : 18
6. 6.If 4 chocolates cost ₹180, how many rupees do 2 chocolates cost?
7. 7.Write the ratio 45 : 36 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 45 : 36 (d) 6 : 5
8. 8.A garden has 5 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 5 : 10 (c) 2 : 3 (d) 2 : 1
9. 9.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
10. 10.2 : 3 = 18 : ?
11. 11.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 4 hours?
12. 12.A class has 5 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 1 : 6 (c) 6 : 1 (d) 5 : 30
13. 13.2 : 5 = 16 : ?
14. 14.If 6 pens cost ₹66, how many rupees do 4 pens cost?
15. 15.₹570 is shared between Arjun and Pooja in the ratio 1 : 2. How many rupees does Arjun get?
16. 16.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 3 hours?
17. 17.If 2 chocolates cost ₹92, how many rupees do 4 chocolates cost?
18. 18.7 : 9 = 35 : ?
19. 19.2 : 5 = 8 : ?
20. 20.Are 4, 28, 3 and 22 in proportion? (a) No (b) Yes
21. 21.1 : 6 = 10 : ?
22. 22.Are 4, 6, 10 and 15 in proportion? (a) No (b) Yes
23. 23.2 : 7 = 16 : ?
24. 24.A bus goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
25. 25.Write the ratio 8 : 36 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 2 : 9 (d) 8 : 36
26. 26.Are 10, 16, 30 and 51 in proportion? (a) Yes (b) No
27. 27.If 9 ice creams cost ₹369, how many rupees do 11 ice creams cost?
28. 28.Are 5, 45, 3 and 27 in proportion? (a) No (b) Yes
29. 29.If 6 mangoes cost ₹264, how many rupees do 8 mangoes cost?
30. 30.1 : 2 = ? : 6
31. 31.Write the ratio 21 : 3 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 8 : 2 (d) 21 : 3
32. 32.A library shelf has 32 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 3 : 4 (c) 4 : 3 (d) 32 : 24
33. 33.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 8 hours?
34. 34.3 : 5 = 12 : ?
35. 35.Write the ratio 2 : 12 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 12 (d) 2 : 7
36. 36.If 8 notebooks cost ₹32, how many rupees do 9 notebooks cost?
37. 37.Write the ratio 24 : 16 in its simplest form. (a) 2 : 3 (b) 24 : 16 (c) 4 : 3 (d) 3 : 2
38. 38.A class has 2 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 6 (b) 1 : 3 (c) 3 : 1 (d) 2 : 4
39. 39.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
40. 40.₹1360 is shared between Isha and Joseph in the ratio 3 : 5. How many rupees does Joseph get?

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