Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 372 · 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 15 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 27 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
2. 2.3 : 5 = 27 : ?
3. 3.Write the ratio 5 : 40 in its simplest form. (a) 5 : 40 (b) 1 : 8 (c) 2 : 9 (d) 8 : 1
4. 4.Write the ratio 35 : 25 in its simplest form. (a) 35 : 25 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
5. 5.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 5 hours?
6. 6.3 : 7 = ? : 63
7. 7.₹30 is shared between Ananya and Rohan in the ratio 1 : 2. How many rupees does Ananya get?
8. 8.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
9. 9.A team has 18 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 6 (b) 18 : 30 (c) 3 : 5 (d) 5 : 3
10. 10.Write the ratio 5 : 35 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 5 : 35 (d) 1 : 7
11. 11.₹160 is shared between Aarav and Meera in the ratio 3 : 5. How many rupees does Meera get?
12. 12.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 6 hours?
13. 13.Write the ratio 56 : 48 in its simplest form. (a) 56 : 48 (b) 8 : 7 (c) 7 : 6 (d) 6 : 7
14. 14.₹540 is shared between Ishaan and Ananya in the ratio 2 : 7. How many rupees does Ishaan get?
15. 15.A library shelf has 64 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 3 (b) 9 : 4 (c) 64 : 24 (d) 3 : 8
16. 16.Are 9, 21, 12 and 31 in proportion? (a) Yes (b) No
17. 17.If 8 notebooks cost ₹120, how many rupees do 6 notebooks cost?
18. 18.1 : 5 = 10 : ?
19. 19.5 : 7 = ? : 70
20. 20.Are 4, 14, 16 and 57 in proportion? (a) Yes (b) No
21. 21.Write the ratio 48 : 6 in its simplest form. (a) 48 : 6 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
22. 22.5 : 7 = ? : 56
23. 23.3 : 7 = ? : 70
24. 24.Are 14, 16, 35 and 41 in proportion? (a) Yes (b) No
25. 25.5 : 6 = ? : 36
26. 26.If 5 pens cost ₹175, how many rupees do 8 pens cost?
27. 27.If 4 notebooks cost ₹144, how many rupees do 12 notebooks cost?
28. 28.Write the ratio 42 : 49 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 7 : 6 (d) 42 : 49
29. 29.₹450 is shared between Tara and Joseph in the ratio 2 : 3. How many rupees does Joseph get?
30. 30.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
31. 31.Write the ratio 32 : 12 in its simplest form. (a) 3 : 8 (b) 9 : 4 (c) 8 : 3 (d) 32 : 12
32. 32.₹2210 is shared between Kabir and Riya in the ratio 8 : 9. How many rupees does Kabir get?
33. 33.₹1710 is shared between Priya and Kabir in the ratio 1 : 8. How many rupees does Kabir get?
34. 34.A team has 21 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 3 (b) 8 : 4 (c) 3 : 7 (d) 21 : 9
35. 35.Write the ratio 14 : 16 in its simplest form. (a) 14 : 16 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
36. 36.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
37. 37.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
38. 38.If 8 pens cost ₹344, how many rupees do 6 pens cost?
39. 39.A class has 28 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 4 : 7 (c) 28 : 16 (d) 7 : 4
40. 40.If 9 chocolates cost ₹171, how many rupees do 7 chocolates cost?

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