Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 412 · 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 library shelf has 35 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 1 (b) 35 : 5 (c) 8 : 2 (d) 1 : 7
2. 2.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
3. 3.Write the ratio 14 : 4 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 14 : 4
4. 4.Are 36, 42, 18 and 22 in proportion? (a) No (b) Yes
5. 5.1 : 4 = 2 : ?
6. 6.A garden has 14 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 14 : 35 (c) 5 : 2 (d) 3 : 6
7. 7.A box has 81 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 2 (b) 9 : 1 (c) 1 : 9 (d) 81 : 9
8. 8.Are 6, 54, 2 and 18 in proportion? (a) No (b) Yes
9. 9.A garden has 2 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 6 (b) 2 : 10 (c) 5 : 1 (d) 1 : 5
10. 10.6 : 7 = ? : 42
11. 11.If 6 bus tickets cost ₹276, how many rupees do 5 bus tickets cost?
12. 12.If 8 pens cost ₹232, how many rupees do 6 pens cost?
13. 13.Are 6, 8, 15 and 23 in proportion? (a) Yes (b) No
14. 14.1 : 9 = 6 : ?
15. 15.Write the ratio 15 : 20 in its simplest form. (a) 15 : 20 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
16. 16.5 : 6 = ? : 18
17. 17.7 : 9 = ? : 27
18. 18.If 6 chocolates cost ₹288, how many rupees do 5 chocolates cost?
19. 19.Are 12, 14, 54 and 63 in proportion? (a) No (b) Yes
20. 20.Write the ratio 4 : 14 in its simplest form. (a) 2 : 7 (b) 7 : 2 (c) 4 : 14 (d) 3 : 8
21. 21.Write the ratio 16 : 18 in its simplest form. (a) 8 : 9 (b) 9 : 10 (c) 16 : 18 (d) 9 : 8
22. 22.Write the ratio 6 : 36 in its simplest form. (a) 6 : 36 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
23. 23.Are 15, 24, 40 and 65 in proportion? (a) No (b) Yes
24. 24.Are 6, 36, 9 and 57 in proportion? (a) No (b) Yes
25. 25.Are 4, 36, 5 and 48 in proportion? (a) No (b) Yes
26. 26.Are 15, 40, 12 and 32 in proportion? (a) No (b) Yes
27. 27.5 : 7 = ? : 14
28. 28.7 : 8 = 42 : ?
29. 29.Write the ratio 8 : 72 in its simplest form. (a) 9 : 1 (b) 8 : 72 (c) 1 : 9 (d) 2 : 10
30. 30.If 8 mangoes cost ₹64, how many rupees do 5 mangoes cost?
31. 31.A class has 8 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 8 : 18 (c) 5 : 10 (d) 4 : 9
32. 32.Are 25, 35, 10 and 17 in proportion? (a) Yes (b) No
33. 33.₹80 is shared between Karan and Farhan in the ratio 3 : 5. How many rupees does Karan get?
34. 34.A basket has 5 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 30 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
35. 35.A basket has 63 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 63 : 27
36. 36.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
37. 37.A basket has 4 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 32 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
38. 38.A class has 2 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 1 (b) 1 : 4 (c) 2 : 8 (d) 2 : 5
39. 39.₹800 is shared between Aditya and Kabir in the ratio 7 : 9. How many rupees does Aditya get?
40. 40.A class has 15 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 15 : 21 (d) 7 : 5

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