Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 328 · 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.Write the ratio 16 : 56 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 2 : 7 (d) 16 : 56
2. 2.If 8 notebooks cost ₹448, how many rupees do 9 notebooks cost?
3. 3.Are 4, 12, 5 and 15 in proportion? (a) No (b) Yes
4. 4.Write the ratio 40 : 45 in its simplest form. (a) 9 : 10 (b) 40 : 45 (c) 9 : 8 (d) 8 : 9
5. 5.1 : 7 = 9 : ?
6. 6.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
7. 7.A class has 4 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 4 : 12 (c) 1 : 3 (d) 2 : 4
8. 8.Are 16, 18, 40 and 48 in proportion? (a) Yes (b) No
9. 9.₹120 is shared between Joseph and Riya in the ratio 1 : 3. How many rupees does Riya get?
10. 10.If 2 pens cost ₹90, how many rupees do 10 pens cost?
11. 11.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
12. 12.₹540 is shared between Kabir and Aditya in the ratio 1 : 5. How many rupees does Kabir get?
13. 13.₹680 is shared between Ishaan and Riya in the ratio 1 : 3. How many rupees does Ishaan get?
14. 14.Write the ratio 15 : 24 in its simplest form. (a) 8 : 5 (b) 6 : 9 (c) 15 : 24 (d) 5 : 8
15. 15.5 : 8 = ? : 80
16. 16.Are 8, 20, 18 and 45 in proportion? (a) No (b) Yes
17. 17.A box has 72 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 72 : 8 (b) 10 : 2 (c) 9 : 1 (d) 1 : 9
18. 18.Are 15, 24, 35 and 58 in proportion? (a) Yes (b) No
19. 19.Write the ratio 56 : 7 in its simplest form. (a) 1 : 8 (b) 56 : 7 (c) 8 : 1 (d) 9 : 2
20. 20.₹1360 is shared between Karan and Kabir in the ratio 1 : 7. How many rupees does Kabir get?
21. 21.4 : 7 = ? : 35
22. 22.Write the ratio 2 : 14 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 2 : 14 (d) 1 : 7
23. 23.If 4 pens cost ₹204, how many rupees do 11 pens cost?
24. 24.A library shelf has 3 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 3 : 12
25. 25.₹3000 is shared between Rahul and Lakshmi in the ratio 7 : 8. How many rupees does Lakshmi get?
26. 26.Write the ratio 42 : 30 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 42 : 30 (d) 8 : 6
27. 27.Are 9, 12, 6 and 10 in proportion? (a) No (b) Yes
28. 28.₹160 is shared between Ananya and Vivaan in the ratio 1 : 7. How many rupees does Vivaan get?
29. 29.Are 15, 24, 20 and 33 in proportion? (a) Yes (b) No
30. 30.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
31. 31.₹2400 is shared between Sneha and Meera in the ratio 5 : 7. How many rupees does Sneha get?
32. 32.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
33. 33.If 3 chocolates cost ₹54, how many rupees do 12 chocolates cost?
34. 34.If 5 chocolates cost ₹100, how many rupees do 2 chocolates cost?
35. 35.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
36. 36.Are 42, 54, 35 and 45 in proportion? (a) Yes (b) No
37. 37.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 8 hours?
38. 38.If 3 notebooks cost ₹33, how many rupees do 4 notebooks cost?
39. 39.A box has 16 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 16 : 40 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
40. 40.A team has 72 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 72 : 56 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7

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