Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 207 · 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 9, 15, 12 and 20 in proportion? (a) Yes (b) No
2. 2.Are 20, 45, 12 and 28 in proportion? (a) Yes (b) No
3. 3.If 6 notebooks cost ₹78, how many rupees do 8 notebooks cost?
4. 4.Are 24, 28, 48 and 59 in proportion? (a) No (b) Yes
5. 5.1 : 8 = 3 : ?
6. 6.₹700 is shared between Vivaan and Manav in the ratio 3 : 4. How many rupees does Vivaan get?
7. 7.A basket has 12 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 12 : 30 (d) 3 : 6
8. 8.If 7 bus tickets cost ₹378, how many rupees do 2 bus tickets cost?
9. 9.Write the ratio 28 : 63 in its simplest form. (a) 4 : 9 (b) 5 : 10 (c) 28 : 63 (d) 9 : 4
10. 10.If 3 notebooks cost ₹114, how many rupees do 2 notebooks cost?
11. 11.Are 4, 10, 14 and 37 in proportion? (a) No (b) Yes
12. 12.₹1440 is shared between Manav and Joseph in the ratio 1 : 8. How many rupees does Manav get?
13. 13.₹210 is shared between Aditya and Joseph in the ratio 2 : 5. How many rupees does Aditya get?
14. 14.Write the ratio 45 : 25 in its simplest form. (a) 45 : 25 (b) 9 : 5 (c) 10 : 6 (d) 5 : 9
15. 15.2 : 9 = ? : 45
16. 16.Write the ratio 40 : 45 in its simplest form. (a) 40 : 45 (b) 9 : 10 (c) 8 : 9 (d) 9 : 8
17. 17.3 : 8 = 24 : ?
18. 18.A basket has 16 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 16 : 14 (b) 9 : 8 (c) 7 : 8 (d) 8 : 7
19. 19.Write the ratio 8 : 4 in its simplest form. (a) 1 : 2 (b) 3 : 2 (c) 8 : 4 (d) 2 : 1
20. 20.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 2 hours?
21. 21.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
22. 22.If 7 ice creams cost ₹175, how many rupees do 11 ice creams cost?
23. 23.Are 3, 27, 4 and 39 in proportion? (a) Yes (b) No
24. 24.Write the ratio 21 : 28 in its simplest form. (a) 21 : 28 (b) 4 : 3 (c) 3 : 4 (d) 4 : 5
25. 25.Are 16, 36, 28 and 66 in proportion? (a) No (b) Yes
26. 26.₹1760 is shared between Rahul and Isha in the ratio 2 : 9. How many rupees does Rahul get?
27. 27.If 5 ice creams cost ₹115, how many rupees do 6 ice creams cost?
28. 28.3 : 7 = 21 : ?
29. 29.₹450 is shared between Nisha and Karan in the ratio 1 : 2. How many rupees does Nisha get?
30. 30.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 8 hours?
31. 31.If 4 ice creams cost ₹92, how many rupees do 11 ice creams cost?
32. 32.1 : 6 = ? : 54
33. 33.If 3 ice creams cost ₹12, how many rupees do 6 ice creams cost?
34. 34.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 8 hours?
35. 35.2 : 5 = ? : 30
36. 36.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
37. 37.If 7 pens cost ₹35, how many rupees do 3 pens cost?
38. 38.If 3 chocolates cost ₹87, how many rupees do 8 chocolates cost?
39. 39.₹200 is shared between Lakshmi and Joseph in the ratio 3 : 7. How many rupees does Lakshmi get?
40. 40.A team has 12 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 12 : 21

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