Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 220 · 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.Write the ratio 48 : 56 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 48 : 56
2. 2.Write the ratio 6 : 30 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 1 : 5 (d) 6 : 30
3. 3.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
4. 4.A basket has 28 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 28 : 24 (c) 8 : 7 (d) 7 : 6
5. 5.If 6 chocolates cost ₹228, how many rupees do 4 chocolates cost?
6. 6.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
7. 7.Are 4, 18, 18 and 82 in proportion? (a) No (b) Yes
8. 8.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
9. 9.₹450 is shared between Isha and Farhan in the ratio 7 : 8. How many rupees does Isha get?
10. 10.A garden has 30 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 30 : 42 (b) 5 : 7 (c) 7 : 5 (d) 6 : 8
11. 11.1 : 2 = 7 : ?
12. 12.Are 14, 16, 42 and 48 in proportion? (a) Yes (b) No
13. 13.Write the ratio 24 : 18 in its simplest form. (a) 4 : 3 (b) 5 : 4 (c) 3 : 4 (d) 24 : 18
14. 14.Are 4, 18, 10 and 45 in proportion? (a) No (b) Yes
15. 15.8 : 9 = 64 : ?
16. 16.4 : 9 = 24 : ?
17. 17.Write the ratio 27 : 6 in its simplest form. (a) 27 : 6 (b) 9 : 2 (c) 2 : 9 (d) 10 : 3
18. 18.Are 10, 35, 6 and 21 in proportion? (a) No (b) Yes
19. 19.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
20. 20.1 : 6 = 5 : ?
21. 21.Write the ratio 4 : 20 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 4 : 20
22. 22.A class has 7 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 7 : 28
23. 23.3 : 5 = ? : 35
24. 24.Are 4, 12, 2 and 8 in proportion? (a) No (b) Yes
25. 25.Are 25, 35, 30 and 43 in proportion? (a) No (b) Yes
26. 26.If 3 pens cost ₹105, how many rupees do 5 pens cost?
27. 27.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 8 hours?
28. 28.1 : 3 = ? : 6
29. 29.₹910 is shared between Priya and Gurpreet in the ratio 6 : 7. How many rupees does Gurpreet get?
30. 30.₹240 is shared between Saanvi and Rohan in the ratio 5 : 7. How many rupees does Rohan get?
31. 31.If 8 mangoes cost ₹272, how many rupees do 2 mangoes cost?
32. 32.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 8 hours?
33. 33.₹400 is shared between Pooja and Zoya in the ratio 1 : 3. How many rupees does Zoya get?
34. 34.₹1260 is shared between Kabir and Kavya in the ratio 1 : 6. How many rupees does Kabir get?
35. 35.7 : 9 = ? : 63
36. 36.₹990 is shared between Aditya and Meera in the ratio 1 : 8. How many rupees does Aditya get?
37. 37.₹330 is shared between Pooja and Aarav in the ratio 3 : 8. How many rupees does Aarav get?
38. 38.Write the ratio 15 : 40 in its simplest form. (a) 8 : 3 (b) 4 : 9 (c) 3 : 8 (d) 15 : 40
39. 39.Write the ratio 7 : 28 in its simplest form. (a) 2 : 5 (b) 7 : 28 (c) 1 : 4 (d) 4 : 1
40. 40.If 3 pens cost ₹171, how many rupees do 6 pens cost?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets