Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 167 · 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 16, 20, 28 and 36 in proportion? (a) Yes (b) No
2. 2.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
3. 3.If 9 chocolates cost ₹63, how many rupees do 12 chocolates cost?
4. 4.Write the ratio 54 : 6 in its simplest form. (a) 54 : 6 (b) 10 : 2 (c) 9 : 1 (d) 1 : 9
5. 5.1 : 7 = 7 : ?
6. 6.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
7. 7.A class has 5 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 1 : 3 (d) 5 : 15
8. 8.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
9. 9.Are 15, 35, 9 and 21 in proportion? (a) Yes (b) No
10. 10.If 2 bus tickets cost ₹54, how many rupees do 6 bus tickets cost?
11. 11.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?
12. 12.₹600 is shared between Tara and Priya in the ratio 1 : 5. How many rupees does Tara get?
13. 13.2 : 7 = 20 : ?
14. 14.Are 25, 30, 10 and 12 in proportion? (a) No (b) Yes
15. 15.₹1870 is shared between Diya and Sneha in the ratio 2 : 9. How many rupees does Diya get?
16. 16.A class has 8 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 8 : 6 (c) 3 : 4 (d) 4 : 3
17. 17.Are 12, 27, 28 and 63 in proportion? (a) Yes (b) No
18. 18.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
19. 19.Are 20, 32, 25 and 40 in proportion? (a) Yes (b) No
20. 20.Are 8, 28, 4 and 16 in proportion? (a) Yes (b) No
21. 21.₹900 is shared between Gurpreet and Pooja in the ratio 4 : 5. How many rupees does Gurpreet get?
22. 22.3 : 5 = ? : 35
23. 23.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
24. 24.5 : 9 = 30 : ?
25. 25.3 : 7 = 21 : ?
26. 26.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
27. 27.1 : 5 = ? : 10
28. 28.₹1040 is shared between Dev and Zoya in the ratio 6 : 7. How many rupees does Dev get?
29. 29.If 3 chocolates cost ₹108, how many rupees do 10 chocolates cost?
30. 30.If 8 pens cost ₹112, how many rupees do 7 pens cost?
31. 31.If 7 notebooks cost ₹392, how many rupees do 11 notebooks cost?
32. 32.Are 9, 24, 21 and 56 in proportion? (a) No (b) Yes
33. 33.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
34. 34.₹110 is shared between Meera and Ishaan in the ratio 2 : 9. How many rupees does Meera get?
35. 35.If 6 chocolates cost ₹126, how many rupees do 8 chocolates cost?
36. 36.Are 15, 21, 20 and 31 in proportion? (a) No (b) Yes
37. 37.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A library shelf has 10 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 8 (b) 10 : 35 (c) 7 : 2 (d) 2 : 7
39. 39.6 : 7 = 48 : ?
40. 40.A class has 45 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 35 (b) 9 : 7 (c) 10 : 8 (d) 7 : 9

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