Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 32 · 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.Are 25, 45, 15 and 27 in proportion? (a) Yes (b) No
2. 2.₹640 is shared between Priya and Sneha in the ratio 3 : 5. How many rupees does Sneha get?
3. 3.5 : 9 = ? : 90
4. 4.6 : 7 = ? : 42
5. 5.₹1920 is shared between Tara and Kavya in the ratio 5 : 7. How many rupees does Tara get?
6. 6.Write the ratio 64 : 40 in its simplest form. (a) 5 : 8 (b) 64 : 40 (c) 8 : 5 (d) 9 : 6
7. 7.Write the ratio 12 : 20 in its simplest form. (a) 4 : 6 (b) 12 : 20 (c) 3 : 5 (d) 5 : 3
8. 8.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 8 hours?
9. 9.If 8 pens cost ₹32, how many rupees do 12 pens cost?
10. 10.Write the ratio 2 : 16 in its simplest form. (a) 2 : 16 (b) 2 : 9 (c) 8 : 1 (d) 1 : 8
11. 11.Are 3, 6, 7 and 14 in proportion? (a) Yes (b) No
12. 12.Write the ratio 45 : 72 in its simplest form. (a) 8 : 5 (b) 6 : 9 (c) 45 : 72 (d) 5 : 8
13. 13.If 9 chocolates cost ₹108, how many rupees do 6 chocolates cost?
14. 14.Write the ratio 28 : 20 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 28 : 20
15. 15.Write the ratio 45 : 18 in its simplest form. (a) 45 : 18 (b) 2 : 5 (c) 6 : 3 (d) 5 : 2
16. 16.A library shelf has 4 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 16 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
17. 17.₹2200 is shared between Manav and Dev in the ratio 3 : 8. How many rupees does Manav get?
18. 18.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
19. 19.Write the ratio 6 : 36 in its simplest form. (a) 2 : 7 (b) 1 : 6 (c) 6 : 1 (d) 6 : 36
20. 20.1 : 2 = ? : 14
21. 21.If 7 pens cost ₹119, how many rupees do 8 pens cost?
22. 22.Write the ratio 12 : 16 in its simplest form. (a) 3 : 4 (b) 12 : 16 (c) 4 : 3 (d) 4 : 5
23. 23.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 2 hours?
24. 24.A library shelf has 25 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 25 : 30 (b) 6 : 5 (c) 5 : 6 (d) 6 : 7
25. 25.Are 12, 20, 6 and 10 in proportion? (a) Yes (b) No
26. 26.Write the ratio 56 : 8 in its simplest form. (a) 56 : 8 (b) 7 : 1 (c) 8 : 2 (d) 1 : 7
27. 27.₹140 is shared between Kavya and Aditya in the ratio 3 : 4. How many rupees does Aditya get?
28. 28.A class has 18 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 24 (b) 4 : 5 (c) 3 : 4 (d) 4 : 3
29. 29.A garden has 18 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 6 (b) 5 : 3 (c) 18 : 30 (d) 3 : 5
30. 30.₹300 is shared between Kabir and Rohan in the ratio 2 : 3. How many rupees does Kabir get?
31. 31.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 2 : 8 (d) 7 : 49
32. 32.₹400 is shared between Karan and Tara in the ratio 1 : 7. How many rupees does Tara get?
33. 33.4 : 5 = ? : 10
34. 34.₹1100 is shared between Sneha and Aarav in the ratio 1 : 9. How many rupees does Aarav get?
35. 35.₹980 is shared between Diya and Lakshmi in the ratio 2 : 5. How many rupees does Lakshmi get?
36. 36.1 : 5 = 6 : ?
37. 37.Are 16, 28, 32 and 56 in proportion? (a) No (b) Yes
38. 38.1 : 6 = 9 : ?
39. 39.₹250 is shared between Rohan and Joseph in the ratio 1 : 4. How many rupees does Rohan get?
40. 40.If 7 notebooks cost ₹133, how many rupees do 5 notebooks cost?

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