Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 123 · 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.₹1100 is shared between Pooja and Kabir in the ratio 1 : 9. How many rupees does Pooja get?
2. 2.Write the ratio 4 : 32 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 4 : 32
3. 3.Write the ratio 81 : 9 in its simplest form. (a) 9 : 1 (b) 10 : 2 (c) 1 : 9 (d) 81 : 9
4. 4.2 : 3 = ? : 15
5. 5.If 7 chocolates cost ₹336, how many rupees do 6 chocolates cost?
6. 6.If 4 bus tickets cost ₹44, how many rupees do 8 bus tickets cost?
7. 7.If 7 chocolates cost ₹70, how many rupees do 3 chocolates cost?
8. 8.A library shelf has 48 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 8 (b) 48 : 54 (c) 8 : 9 (d) 9 : 10
9. 9.If 9 ice creams cost ₹522, how many rupees do 12 ice creams cost?
10. 10.Write the ratio 10 : 6 in its simplest form. (a) 3 : 5 (b) 10 : 6 (c) 6 : 4 (d) 5 : 3
11. 11.4 : 9 = 24 : ?
12. 12.Write the ratio 25 : 40 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 6 : 9 (d) 25 : 40
13. 13.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 1 hour?
14. 14.Write the ratio 18 : 30 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 18 : 30
15. 15.If 6 pens cost ₹354, how many rupees do 2 pens cost?
16. 16.If 3 ice creams cost ₹30, how many rupees do 11 ice creams cost?
17. 17.Are 4, 10, 12 and 31 in proportion? (a) Yes (b) No
18. 18.A library shelf has 8 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 8 : 4 (d) 3 : 2
19. 19.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 3 hours?
20. 20.5 : 8 = ? : 32
21. 21.A class has 4 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 4 : 14
22. 22.1 : 4 = 6 : ?
23. 23.Are 15, 20, 18 and 24 in proportion? (a) No (b) Yes
24. 24.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
25. 25.A basket has 9 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 1 (b) 9 : 54 (c) 1 : 6 (d) 2 : 7
26. 26.2 : 5 = 20 : ?
27. 27.Write the ratio 18 : 8 in its simplest form. (a) 4 : 9 (b) 18 : 8 (c) 9 : 4 (d) 10 : 5
28. 28.4 : 5 = ? : 50
29. 29.A class has 30 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 30 : 24 (c) 6 : 5 (d) 4 : 5
30. 30.A class has 18 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 42 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
31. 31.6 : 7 = 24 : ?
32. 32.If 5 chocolates cost ₹140, how many rupees do 2 chocolates cost?
33. 33.Are 28, 32, 49 and 56 in proportion? (a) No (b) Yes
34. 34.If 6 notebooks cost ₹324, how many rupees do 5 notebooks cost?
35. 35.If 2 bus tickets cost ₹92, how many rupees do 9 bus tickets cost?
36. 36.If 4 notebooks cost ₹48, how many rupees do 2 notebooks cost?
37. 37.A garden has 12 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 3 (b) 4 : 5 (c) 3 : 4 (d) 12 : 16
38. 38.1 : 5 = ? : 15
39. 39.If 5 mangoes cost ₹55, how many rupees do 9 mangoes cost?
40. 40.If 9 chocolates cost ₹36, how many rupees do 7 chocolates cost?

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