Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 141 · 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.₹90 is shared between Karan and Tara in the ratio 2 : 7. How many rupees does Tara get?
2. 2.Write the ratio 18 : 42 in its simplest form. (a) 3 : 7 (b) 4 : 8 (c) 18 : 42 (d) 7 : 3
3. 3.Are 20, 32, 40 and 64 in proportion? (a) No (b) Yes
4. 4.If 8 notebooks cost ₹88, how many rupees do 2 notebooks cost?
5. 5.₹1500 is shared between Aditya and Meera in the ratio 1 : 9. How many rupees does Aditya get?
6. 6.₹1440 is shared between Gurpreet and Manav in the ratio 1 : 7. How many rupees does Manav get?
7. 7.Are 2, 14, 3 and 24 in proportion? (a) No (b) Yes
8. 8.₹990 is shared between Vivaan and Arjun in the ratio 4 : 5. How many rupees does Arjun get?
9. 9.₹1100 is shared between Saanvi and Riya in the ratio 3 : 7. How many rupees does Saanvi get?
10. 10.Are 21, 24, 14 and 16 in proportion? (a) No (b) Yes
11. 11.₹1300 is shared between Zoya and Saanvi in the ratio 5 : 8. How many rupees does Saanvi get?
12. 12.A class has 21 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 2 (b) 2 : 7 (c) 8 : 3 (d) 21 : 6
13. 13.If 8 mangoes cost ₹296, how many rupees do 7 mangoes cost?
14. 14.If 4 bus tickets cost ₹228, how many rupees do 7 bus tickets cost?
15. 15.Are 12, 30, 6 and 18 in proportion? (a) No (b) Yes
16. 16.Write the ratio 20 : 45 in its simplest form. (a) 4 : 9 (b) 5 : 10 (c) 20 : 45 (d) 9 : 4
17. 17.A team has 10 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 8 (b) 7 : 5 (c) 5 : 7 (d) 10 : 14
18. 18.Are 18, 42, 9 and 21 in proportion? (a) No (b) Yes
19. 19.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
20. 20.A basket has 27 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 5 (b) 9 : 4 (c) 27 : 12 (d) 4 : 9
21. 21.2 : 3 = 20 : ?
22. 22.₹60 is shared between Zoya and Ananya in the ratio 1 : 2. How many rupees does Ananya get?
23. 23.₹770 is shared between Tara and Isha in the ratio 1 : 6. How many rupees does Tara get?
24. 24.If 9 mangoes cost ₹135, how many rupees do 4 mangoes cost?
25. 25.Write the ratio 35 : 15 in its simplest form. (a) 7 : 3 (b) 35 : 15 (c) 8 : 4 (d) 3 : 7
26. 26.5 : 6 = ? : 48
27. 27.1 : 3 = ? : 9
28. 28.Are 30, 36, 10 and 12 in proportion? (a) No (b) Yes
29. 29.2 : 5 = ? : 15
30. 30.Are 4, 20, 8 and 41 in proportion? (a) No (b) Yes
31. 31.A team has 6 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 2 : 4 (d) 6 : 18
32. 32.If 6 chocolates cost ₹132, how many rupees do 5 chocolates cost?
33. 33.₹1080 is shared between Rohan and Manav in the ratio 1 : 5. How many rupees does Rohan get?
34. 34.Are 12, 20, 27 and 45 in proportion? (a) No (b) Yes
35. 35.If 8 ice creams cost ₹96, how many rupees do 5 ice creams cost?
36. 36.₹270 is shared between Karan and Pooja in the ratio 1 : 8. How many rupees does Pooja get?
37. 37.Are 3, 18, 4 and 24 in proportion? (a) Yes (b) No
38. 38.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
39. 39.1 : 8 = ? : 24
40. 40.Write the ratio 16 : 10 in its simplest form. (a) 9 : 6 (b) 16 : 10 (c) 5 : 8 (d) 8 : 5

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