Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 424 · 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.If 4 mangoes cost ₹104, how many rupees do 10 mangoes cost?
2. 2.2 : 3 = ? : 6
3. 3.4 : 5 = ? : 30
4. 4.Write the ratio 2 : 8 in its simplest form. (a) 1 : 4 (b) 2 : 8 (c) 4 : 1 (d) 2 : 5
5. 5.1 : 8 = ? : 24
6. 6.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 4 hours?
7. 7.A library shelf has 15 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 15 : 10 (d) 4 : 3
8. 8.Write the ratio 48 : 54 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 48 : 54 (d) 9 : 10
9. 9.Are 14, 18, 28 and 37 in proportion? (a) Yes (b) No
10. 10.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 4 hours?
11. 11.A class has 8 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 8 : 14
12. 12.A train goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
13. 13.If 8 pens cost ₹184, how many rupees do 10 pens cost?
14. 14.If 8 mangoes cost ₹352, how many rupees do 7 mangoes cost?
15. 15.A garden has 56 rose plants and 48 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 7 (b) 6 : 7 (c) 7 : 6 (d) 56 : 48
16. 16.₹1980 is shared between Gurpreet and Arjun in the ratio 4 : 7. How many rupees does Gurpreet get?
17. 17.A garden has 6 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 6 : 12
18. 18.3 : 8 = 27 : ?
19. 19.Write the ratio 45 : 72 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 45 : 72 (d) 6 : 9
20. 20.If 5 bus tickets cost ₹35, how many rupees do 10 bus tickets cost?
21. 21.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
22. 22.Are 4, 6, 8 and 13 in proportion? (a) Yes (b) No
23. 23.A library shelf has 56 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 4 (b) 56 : 32 (c) 4 : 7 (d) 8 : 5
24. 24.Write the ratio 48 : 40 in its simplest form. (a) 6 : 5 (b) 48 : 40 (c) 7 : 6 (d) 5 : 6
25. 25.Are 3, 6, 6 and 15 in proportion? (a) Yes (b) No
26. 26.Are 12, 16, 6 and 10 in proportion? (a) No (b) Yes
27. 27.₹300 is shared between Lakshmi and Zoya in the ratio 1 : 4. How many rupees does Lakshmi get?
28. 28.₹300 is shared between Aarav and Vivaan in the ratio 1 : 5. How many rupees does Vivaan get?
29. 29.2 : 9 = ? : 36
30. 30.Are 8, 20, 12 and 31 in proportion? (a) No (b) Yes
31. 31.Are 10, 15, 6 and 9 in proportion? (a) Yes (b) No
32. 32.A basket has 8 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 2 : 3 (c) 8 : 16 (d) 1 : 2
33. 33.Are 4, 20, 5 and 25 in proportion? (a) Yes (b) No
34. 34.₹1280 is shared between Karan and Aditya in the ratio 7 : 9. How many rupees does Aditya get?
35. 35.A class has 5 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 4 (b) 5 : 15 (c) 1 : 3 (d) 3 : 1
36. 36.1 : 6 = 5 : ?
37. 37.3 : 7 = 9 : ?
38. 38.Are 15, 27, 30 and 56 in proportion? (a) No (b) Yes
39. 39.Are 30, 42, 10 and 14 in proportion? (a) Yes (b) No
40. 40.7 : 8 = 42 : ?

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