Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 33 · 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 9 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 4 : 3 (d) 9 : 6
2. 2.Write the ratio 30 : 48 in its simplest form. (a) 30 : 48 (b) 6 : 9 (c) 5 : 8 (d) 8 : 5
3. 3.A basket has 14 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 2 (b) 14 : 7 (c) 1 : 2 (d) 2 : 1
4. 4.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 8 hours?
5. 5.1 : 9 = ? : 90
6. 6.1 : 3 = ? : 6
7. 7.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
8. 8.Write the ratio 5 : 15 in its simplest form. (a) 2 : 4 (b) 1 : 3 (c) 5 : 15 (d) 3 : 1
9. 9.₹1800 is shared between Rohan and Priya in the ratio 4 : 5. How many rupees does Rohan get?
10. 10.₹1330 is shared between Arjun and Diya in the ratio 3 : 4. How many rupees does Arjun get?
11. 11.₹220 is shared between Farhan and Kabir in the ratio 2 : 9. How many rupees does Farhan get?
12. 12.₹1020 is shared between Meera and Riya in the ratio 1 : 5. How many rupees does Meera get?
13. 13.If 6 pens cost ₹276, how many rupees do 2 pens cost?
14. 14.Are 12, 14, 54 and 66 in proportion? (a) No (b) Yes
15. 15.Are 12, 21, 24 and 42 in proportion? (a) Yes (b) No
16. 16.1 : 6 = 4 : ?
17. 17.₹1170 is shared between Tara and Aditya in the ratio 2 : 7. How many rupees does Tara get?
18. 18.Are 30, 42, 25 and 35 in proportion? (a) Yes (b) No
19. 19.1 : 8 = ? : 56
20. 20.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
21. 21.5 : 6 = ? : 12
22. 22.₹720 is shared between Priya and Aarav in the ratio 4 : 5. How many rupees does Priya get?
23. 23.If 8 ice creams cost ₹80, how many rupees do 12 ice creams cost?
24. 24.3 : 4 = ? : 16
25. 25.A basket has 27 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 9 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
26. 26.Are 6, 14, 18 and 43 in proportion? (a) Yes (b) No
27. 27.Write the ratio 14 : 7 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 2 : 1 (d) 14 : 7
28. 28.₹1530 is shared between Priya and Vivaan in the ratio 8 : 9. How many rupees does Vivaan get?
29. 29.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
30. 30.5 : 8 = 10 : ?
31. 31.A team has 8 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 8 : 16
32. 32.A library shelf has 6 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 6 : 3 (d) 2 : 1
33. 33.Write the ratio 42 : 48 in its simplest form. (a) 42 : 48 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
34. 34.Write the ratio 7 : 63 in its simplest form. (a) 7 : 63 (b) 2 : 10 (c) 1 : 9 (d) 9 : 1
35. 35.₹1800 is shared between Aarav and Ishaan in the ratio 2 : 7. How many rupees does Ishaan get?
36. 36.Write the ratio 9 : 6 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 9 : 6
37. 37.5 : 7 = 50 : ?
38. 38.A class has 8 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 1 : 9 (d) 8 : 72
39. 39.4 : 7 = 40 : ?
40. 40.₹1050 is shared between Vivaan and Meera in the ratio 1 : 6. How many rupees does Vivaan get?

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