Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 270 · 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 class has 12 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 16 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
2. 2.Write the ratio 24 : 27 in its simplest form. (a) 24 : 27 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
3. 3.₹390 is shared between Kavya and Saanvi in the ratio 1 : 2. How many rupees does Kavya get?
4. 4.3 : 7 = 27 : ?
5. 5.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 6 hours?
6. 6.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 4 hours?
7. 7.₹2210 is shared between Riya and Pooja in the ratio 8 : 9. How many rupees does Pooja get?
8. 8.A class has 8 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 3 : 10 (c) 8 : 36 (d) 2 : 9
9. 9.₹1050 is shared between Zoya and Dev in the ratio 2 : 5. How many rupees does Dev get?
10. 10.If 2 ice creams cost ₹116, how many rupees do 6 ice creams cost?
11. 11.A garden has 5 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 5 : 45 (d) 1 : 9
12. 12.2 : 3 = 8 : ?
13. 13.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
14. 14.1 : 8 = 6 : ?
15. 15.If 9 notebooks cost ₹81, how many rupees do 7 notebooks cost?
16. 16.5 : 9 = 25 : ?
17. 17.Write the ratio 35 : 15 in its simplest form. (a) 3 : 7 (b) 8 : 4 (c) 7 : 3 (d) 35 : 15
18. 18.If 9 pens cost ₹540, how many rupees do 6 pens cost?
19. 19.Write the ratio 4 : 8 in its simplest form. (a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 4 : 8
20. 20.A basket has 32 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 32 : 36 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10
21. 21.Are 15, 35, 18 and 43 in proportion? (a) No (b) Yes
22. 22.Are 8, 20, 14 and 38 in proportion? (a) Yes (b) No
23. 23.If 9 mangoes cost ₹252, how many rupees do 4 mangoes cost?
24. 24.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
25. 25.If 6 pens cost ₹174, how many rupees do 9 pens cost?
26. 26.If 6 mangoes cost ₹198, how many rupees do 10 mangoes cost?
27. 27.Are 5, 20, 6 and 27 in proportion? (a) No (b) Yes
28. 28.If 6 mangoes cost ₹126, how many rupees do 11 mangoes cost?
29. 29.₹1080 is shared between Isha and Rahul in the ratio 1 : 8. How many rupees does Isha get?
30. 30.A basket has 54 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 7 : 6 (c) 6 : 5 (d) 54 : 45
31. 31.Write the ratio 18 : 27 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 18 : 27
32. 32.If 5 pens cost ₹110, how many rupees do 3 pens cost?
33. 33.If 7 bus tickets cost ₹42, how many rupees do 12 bus tickets cost?
34. 34.Are 3, 21, 6 and 42 in proportion? (a) No (b) Yes
35. 35.Write the ratio 10 : 2 in its simplest form. (a) 5 : 1 (b) 10 : 2 (c) 6 : 2 (d) 1 : 5
36. 36.A basket has 6 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 6 : 2 (c) 3 : 1 (d) 1 : 3
37. 37.Write the ratio 9 : 6 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 9 : 6 (d) 3 : 2
38. 38.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
39. 39.2 : 7 = 8 : ?
40. 40.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 7 hours?

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