Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 283 · 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 train goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
2. 2.1 : 5 = ? : 25
3. 3.A class has 45 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 8 (b) 45 : 72 (c) 8 : 5 (d) 6 : 9
4. 4.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 2 hours?
5. 5.Write the ratio 15 : 21 in its simplest form. (a) 6 : 8 (b) 5 : 7 (c) 7 : 5 (d) 15 : 21
6. 6.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 5 hours?
7. 7.A team has 9 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 3 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
8. 8.₹850 is shared between Rahul and Lakshmi in the ratio 1 : 4. How many rupees does Lakshmi get?
9. 9.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 3 hours?
10. 10.1 : 8 = ? : 40
11. 11.3 : 7 = 21 : ?
12. 12.₹150 is shared between Arjun and Kabir in the ratio 1 : 4. How many rupees does Kabir get?
13. 13.Are 4, 16, 3 and 15 in proportion? (a) No (b) Yes
14. 14.If 9 mangoes cost ₹450, how many rupees do 2 mangoes cost?
15. 15.A box has 27 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 3 (b) 4 : 2 (c) 3 : 1 (d) 27 : 9
16. 16.If 2 mangoes cost ₹38, how many rupees do 10 mangoes cost?
17. 17.1 : 4 = ? : 40
18. 18.If 5 mangoes cost ₹190, how many rupees do 2 mangoes cost?
19. 19.A team has 35 batters and 7 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 35 : 7 (d) 6 : 2
20. 20.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 35 : 28 (c) 5 : 4 (d) 6 : 5
21. 21.If 7 notebooks cost ₹406, how many rupees do 4 notebooks cost?
22. 22.Are 6, 54, 3 and 29 in proportion? (a) No (b) Yes
23. 23.If 6 ice creams cost ₹342, how many rupees do 4 ice creams cost?
24. 24.If 2 notebooks cost ₹108, how many rupees do 3 notebooks cost?
25. 25.Are 12, 16, 24 and 35 in proportion? (a) No (b) Yes
26. 26.If 9 notebooks cost ₹207, how many rupees do 12 notebooks cost?
27. 27.A box has 15 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 15 : 9 (d) 5 : 3
28. 28.If 5 ice creams cost ₹55, how many rupees do 4 ice creams cost?
29. 29.A box has 63 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 63 : 45 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
30. 30.Write the ratio 9 : 63 in its simplest form. (a) 7 : 1 (b) 9 : 63 (c) 2 : 8 (d) 1 : 7
31. 31.Are 18, 30, 27 and 45 in proportion? (a) No (b) Yes
32. 32.5 : 9 = ? : 81
33. 33.₹800 is shared between Priya and Meera in the ratio 3 : 5. How many rupees does Priya get?
34. 34.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 7 hours?
35. 35.If 2 notebooks cost ₹46, how many rupees do 9 notebooks cost?
36. 36.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 7 hours?
37. 37.₹1650 is shared between Nisha and Priya in the ratio 5 : 6. How many rupees does Nisha get?
38. 38.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
39. 39.If 2 bus tickets cost ₹32, how many rupees do 12 bus tickets cost?
40. 40.If 6 notebooks cost ₹300, how many rupees do 5 notebooks cost?

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