Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 411 · 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 12 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 5 (b) 7 : 6 (c) 12 : 10 (d) 5 : 6
2. 2.₹2240 is shared between Gurpreet and Vivaan in the ratio 5 : 9. How many rupees does Vivaan get?
3. 3.₹240 is shared between Farhan and Aditya in the ratio 3 : 5. How many rupees does Aditya get?
4. 4.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
5. 5.Write the ratio 28 : 63 in its simplest form. (a) 9 : 4 (b) 5 : 10 (c) 28 : 63 (d) 4 : 9
6. 6.Are 5, 25, 9 and 48 in proportion? (a) No (b) Yes
7. 7.Are 6, 42, 3 and 21 in proportion? (a) Yes (b) No
8. 8.4 : 7 = ? : 35
9. 9.Write the ratio 48 : 40 in its simplest form. (a) 48 : 40 (b) 7 : 6 (c) 6 : 5 (d) 5 : 6
10. 10.Write the ratio 35 : 10 in its simplest form. (a) 35 : 10 (b) 8 : 3 (c) 7 : 2 (d) 2 : 7
11. 11.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
12. 12.Are 6, 42, 5 and 37 in proportion? (a) No (b) Yes
13. 13.₹30 is shared between Vivaan and Joseph in the ratio 1 : 2. How many rupees does Vivaan get?
14. 14.Write the ratio 27 : 12 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 27 : 12 (d) 10 : 5
15. 15.₹1980 is shared between Lakshmi and Pooja in the ratio 2 : 9. How many rupees does Pooja get?
16. 16.If 2 bus tickets cost ₹20, how many rupees do 8 bus tickets cost?
17. 17.Are 9, 21, 18 and 42 in proportion? (a) Yes (b) No
18. 18.Are 35, 40, 14 and 16 in proportion? (a) No (b) Yes
19. 19.If 8 pens cost ₹416, how many rupees do 9 pens cost?
20. 20.2 : 5 = ? : 45
21. 21.Write the ratio 12 : 18 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 12 : 18
22. 22.Write the ratio 42 : 30 in its simplest form. (a) 5 : 7 (b) 42 : 30 (c) 7 : 5 (d) 8 : 6
23. 23.5 : 7 = 10 : ?
24. 24.If 4 ice creams cost ₹152, how many rupees do 2 ice creams cost?
25. 25.1 : 5 = 10 : ?
26. 26.₹1680 is shared between Rohan and Farhan in the ratio 5 : 9. How many rupees does Farhan get?
27. 27.A basket has 12 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 5 : 10 (c) 9 : 4 (d) 12 : 27
28. 28.Write the ratio 12 : 15 in its simplest form. (a) 5 : 6 (b) 4 : 5 (c) 12 : 15 (d) 5 : 4
29. 29.A basket has 56 mangoes and 64 apples. What is the ratio of mangoes to apples in its simplest form? (a) 56 : 64 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
30. 30.Write the ratio 8 : 16 in its simplest form. (a) 8 : 16 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
31. 31.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 1 hour?
32. 32.Write the ratio 32 : 28 in its simplest form. (a) 9 : 8 (b) 32 : 28 (c) 8 : 7 (d) 7 : 8
33. 33.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 8 hours?
34. 34.If 8 pens cost ₹456, how many rupees do 9 pens cost?
35. 35.5 : 9 = 40 : ?
36. 36.If 8 pens cost ₹456, how many rupees do 7 pens cost?
37. 37.Write the ratio 15 : 20 in its simplest form. (a) 4 : 5 (b) 15 : 20 (c) 4 : 3 (d) 3 : 4
38. 38.Are 24, 27, 56 and 64 in proportion? (a) No (b) Yes
39. 39.Write the ratio 10 : 6 in its simplest form. (a) 6 : 4 (b) 10 : 6 (c) 5 : 3 (d) 3 : 5
40. 40.A library shelf has 3 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 5 (b) 3 : 15 (c) 5 : 1 (d) 2 : 6

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