Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 416 · 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. 1.1 : 4 = ? : 16
2. 2.Write the ratio 2 : 16 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 2 : 16 (d) 1 : 8
3. 3.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
4. 4.If 9 pens cost ₹198, how many rupees do 12 pens cost?
5. 5.₹270 is shared between Kavya and Kabir in the ratio 1 : 2. How many rupees does Kabir get?
6. 6.A class has 12 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 30 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
7. 7.₹840 is shared between Ananya and Manav in the ratio 1 : 6. How many rupees does Ananya get?
8. 8.7 : 8 = 14 : ?
9. 9.2 : 9 = ? : 90
10. 10.Are 25, 40, 15 and 24 in proportion? (a) Yes (b) No
11. 11.A basket has 4 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 10 (b) 3 : 6 (c) 5 : 2 (d) 2 : 5
12. 12.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 3 hours?
13. 13.₹660 is shared between Rohan and Zoya in the ratio 3 : 8. How many rupees does Rohan get?
14. 14.1 : 4 = 2 : ?
15. 15.If 4 pens cost ₹28, how many rupees do 9 pens cost?
16. 16.A scooter goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
17. 17.Are 21, 24, 63 and 73 in proportion? (a) No (b) Yes
18. 18.Write the ratio 12 : 6 in its simplest form. (a) 2 : 1 (b) 12 : 6 (c) 1 : 2 (d) 3 : 2
19. 19.Write the ratio 21 : 49 in its simplest form. (a) 21 : 49 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
20. 20.Write the ratio 12 : 30 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 12 : 30
21. 21.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 8 hours?
22. 22.If 8 mangoes cost ₹24, how many rupees do 10 mangoes cost?
23. 23.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 3 hours?
24. 24.If 9 ice creams cost ₹324, how many rupees do 8 ice creams cost?
25. 25.4 : 7 = ? : 35
26. 26.Write the ratio 36 : 45 in its simplest form. (a) 5 : 6 (b) 36 : 45 (c) 5 : 4 (d) 4 : 5
27. 27.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 5 hours?
28. 28.₹160 is shared between Aarav and Tara in the ratio 7 : 9. How many rupees does Aarav get?
29. 29.4 : 9 = ? : 54
30. 30.If 7 pens cost ₹105, how many rupees do 10 pens cost?
31. 31.6 : 7 = 30 : ?
32. 32.Write the ratio 20 : 35 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 20 : 35 (d) 4 : 7
33. 33.1 : 8 = 8 : ?
34. 34.Are 25, 45, 20 and 36 in proportion? (a) No (b) Yes
35. 35.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
36. 36.₹800 is shared between Sneha and Dev in the ratio 1 : 7. How many rupees does Sneha get?
37. 37.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
38. 38.₹1300 is shared between Joseph and Priya in the ratio 6 : 7. How many rupees does Joseph get?
39. 39.₹900 is shared between Saanvi and Kabir in the ratio 1 : 9. How many rupees does Saanvi get?
40. 40.₹1870 is shared between Rahul and Kabir in the ratio 5 : 6. How many rupees does Rahul get?

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