Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 103 · 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 4, 14, 12 and 42 in proportion? (a) Yes (b) No
2. 2.1 : 5 = ? : 25
3. 3.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
4. 4.Are 6, 54, 2 and 20 in proportion? (a) No (b) Yes
5. 5.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
6. 6.Are 18, 48, 21 and 57 in proportion? (a) Yes (b) No
7. 7.Write the ratio 25 : 40 in its simplest form. (a) 8 : 5 (b) 25 : 40 (c) 6 : 9 (d) 5 : 8
8. 8.Write the ratio 20 : 5 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 20 : 5 (d) 5 : 2
9. 9.3 : 4 = ? : 40
10. 10.Are 8, 20, 18 and 47 in proportion? (a) Yes (b) No
11. 11.Are 9, 12, 6 and 10 in proportion? (a) Yes (b) No
12. 12.₹240 is shared between Kabir and Vivaan in the ratio 1 : 7. How many rupees does Vivaan get?
13. 13.₹2040 is shared between Nisha and Arjun in the ratio 8 : 9. How many rupees does Arjun get?
14. 14.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
15. 15.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
16. 16.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
17. 17.Write the ratio 6 : 18 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 6 : 18 (d) 3 : 1
18. 18.Are 12, 28, 24 and 59 in proportion? (a) Yes (b) No
19. 19.Write the ratio 56 : 63 in its simplest form. (a) 56 : 63 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
20. 20.₹180 is shared between Meera and Saanvi in the ratio 4 : 5. How many rupees does Meera get?
21. 21.3 : 8 = 6 : ?
22. 22.Write the ratio 45 : 20 in its simplest form. (a) 10 : 5 (b) 45 : 20 (c) 4 : 9 (d) 9 : 4
23. 23.Write the ratio 8 : 32 in its simplest form. (a) 2 : 5 (b) 4 : 1 (c) 8 : 32 (d) 1 : 4
24. 24.A box has 9 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 6 (b) 9 : 45 (c) 1 : 5 (d) 5 : 1
25. 25.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
26. 26.7 : 9 = ? : 27
27. 27.A class has 21 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 21 : 7 (d) 4 : 2
28. 28.₹90 is shared between Gurpreet and Kabir in the ratio 4 : 5. How many rupees does Kabir get?
29. 29.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
30. 30.₹360 is shared between Aditya and Rohan in the ratio 1 : 3. How many rupees does Aditya get?
31. 31.If 6 pens cost ₹30, how many rupees do 11 pens cost?
32. 32.If 3 chocolates cost ₹51, how many rupees do 4 chocolates cost?
33. 33.If 8 pens cost ₹472, how many rupees do 6 pens cost?
34. 34.If 2 pens cost ₹46, how many rupees do 10 pens cost?
35. 35.Are 12, 16, 15 and 21 in proportion? (a) No (b) Yes
36. 36.A box has 8 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 8 : 10 (d) 5 : 6
37. 37.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
38. 38.If 3 bus tickets cost ₹75, how many rupees do 7 bus tickets cost?
39. 39.Write the ratio 15 : 24 in its simplest form. (a) 15 : 24 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
40. 40.Are 6, 14, 24 and 57 in proportion? (a) Yes (b) No

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