Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 129 · 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.₹960 is shared between Ishaan and Meera in the ratio 3 : 5. How many rupees does Ishaan get?
2. 2.If 2 chocolates cost ₹100, how many rupees do 6 chocolates cost?
3. 3.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
4. 4.Are 4, 6, 10 and 18 in proportion? (a) No (b) Yes
5. 5.Write the ratio 56 : 49 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 9 : 8 (d) 56 : 49
6. 6.Write the ratio 18 : 63 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 2 : 7 (d) 18 : 63
7. 7.Write the ratio 8 : 40 in its simplest form. (a) 2 : 6 (b) 8 : 40 (c) 1 : 5 (d) 5 : 1
8. 8.2 : 3 = ? : 21
9. 9.Are 6, 14, 18 and 42 in proportion? (a) No (b) Yes
10. 10.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
11. 11.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
12. 12.A box has 35 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 35 : 30 (b) 7 : 6 (c) 6 : 7 (d) 8 : 7
13. 13.7 : 9 = 63 : ?
14. 14.If 9 pens cost ₹171, how many rupees do 11 pens cost?
15. 15.₹70 is shared between Kavya and Diya in the ratio 1 : 6. How many rupees does Diya get?
16. 16.4 : 9 = 8 : ?
17. 17.A team has 15 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 24 (b) 6 : 9 (c) 5 : 8 (d) 8 : 5
18. 18.₹1120 is shared between Rohan and Rahul in the ratio 7 : 9. How many rupees does Rohan get?
19. 19.₹240 is shared between Saanvi and Gurpreet in the ratio 3 : 5. How many rupees does Gurpreet get?
20. 20.Are 30, 54, 10 and 19 in proportion? (a) Yes (b) No
21. 21.4 : 5 = 20 : ?
22. 22.5 : 9 = ? : 54
23. 23.If 9 pens cost ₹324, how many rupees do 3 pens cost?
24. 24.1 : 9 = ? : 18
25. 25.A basket has 27 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 21 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
26. 26.If 8 notebooks cost ₹256, how many rupees do 2 notebooks cost?
27. 27.A basket has 49 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 4 (b) 49 : 21 (c) 3 : 7 (d) 7 : 3
28. 28.Write the ratio 45 : 40 in its simplest form. (a) 8 : 9 (b) 10 : 9 (c) 45 : 40 (d) 9 : 8
29. 29.₹1530 is shared between Ananya and Pooja in the ratio 2 : 7. How many rupees does Pooja get?
30. 30.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
31. 31.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
32. 32.A bus goes 250 km in 5 hours. At the same speed, how many km does it go in 7 hours?
33. 33.5 : 7 = ? : 63
34. 34.Write the ratio 81 : 63 in its simplest form. (a) 10 : 8 (b) 7 : 9 (c) 81 : 63 (d) 9 : 7
35. 35.Are 6, 27, 18 and 81 in proportion? (a) No (b) Yes
36. 36.₹450 is shared between Dev and Rahul in the ratio 1 : 2. How many rupees does Rahul get?
37. 37.7 : 8 = 49 : ?
38. 38.If 9 notebooks cost ₹153, how many rupees do 3 notebooks cost?
39. 39.If 2 chocolates cost ₹46, how many rupees do 8 chocolates cost?
40. 40.2 : 9 = 8 : ?

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