Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 184 · 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 basket has 6 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 6 : 16 (c) 3 : 8 (d) 4 : 9
2. 2.Write the ratio 21 : 56 in its simplest form. (a) 8 : 3 (b) 4 : 9 (c) 21 : 56 (d) 3 : 8
3. 3.1 : 4 = ? : 16
4. 4.2 : 3 = ? : 6
5. 5.Write the ratio 9 : 6 in its simplest form. (a) 9 : 6 (b) 3 : 2 (c) 4 : 3 (d) 2 : 3
6. 6.Write the ratio 49 : 63 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 49 : 63 (d) 8 : 10
7. 7.If 2 notebooks cost ₹32, how many rupees do 3 notebooks cost?
8. 8.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
9. 9.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
10. 10.5 : 6 = 45 : ?
11. 11.Write the ratio 20 : 45 in its simplest form. (a) 9 : 4 (b) 20 : 45 (c) 5 : 10 (d) 4 : 9
12. 12.₹1600 is shared between Joseph and Kavya in the ratio 7 : 9. How many rupees does Joseph get?
13. 13.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
14. 14.A car goes 300 km in 6 hours. At the same speed, how many km does it go in 1 hour?
15. 15.A box has 72 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 5 (b) 10 : 6 (c) 72 : 40 (d) 5 : 9
16. 16.Write the ratio 72 : 63 in its simplest form. (a) 8 : 7 (b) 9 : 8 (c) 7 : 8 (d) 72 : 63
17. 17.1 : 2 = ? : 18
18. 18.Are 9, 12, 27 and 37 in proportion? (a) No (b) Yes
19. 19.₹110 is shared between Pooja and Vivaan in the ratio 4 : 7. How many rupees does Vivaan get?
20. 20.₹980 is shared between Diya and Riya in the ratio 2 : 5. How many rupees does Diya get?
21. 21.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
22. 22.1 : 2 = ? : 10
23. 23.A basket has 2 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 1 (b) 2 : 8 (c) 2 : 5 (d) 1 : 4
24. 24.Are 42, 54, 63 and 81 in proportion? (a) No (b) Yes
25. 25.₹1100 is shared between Sneha and Aarav in the ratio 1 : 9. How many rupees does Sneha get?
26. 26.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
27. 27.5 : 6 = ? : 48
28. 28.If 7 pens cost ₹105, how many rupees do 9 pens cost?
29. 29.A team has 4 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 1 (b) 4 : 32 (c) 2 : 9 (d) 1 : 8
30. 30.Write the ratio 10 : 35 in its simplest form. (a) 3 : 8 (b) 7 : 2 (c) 10 : 35 (d) 2 : 7
31. 31.₹1430 is shared between Saanvi and Vivaan in the ratio 5 : 6. How many rupees does Saanvi get?
32. 32.Write the ratio 54 : 42 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 54 : 42 (d) 10 : 8
33. 33.Write the ratio 45 : 40 in its simplest form. (a) 8 : 9 (b) 10 : 9 (c) 9 : 8 (d) 45 : 40
34. 34.If 8 notebooks cost ₹448, how many rupees do 11 notebooks cost?
35. 35.If 8 mangoes cost ₹120, how many rupees do 10 mangoes cost?
36. 36.Write the ratio 3 : 21 in its simplest form. (a) 7 : 1 (b) 3 : 21 (c) 2 : 8 (d) 1 : 7
37. 37.4 : 7 = ? : 14
38. 38.1 : 7 = ? : 21
39. 39.₹1360 is shared between Dev and Rohan in the ratio 3 : 5. How many rupees does Dev get?
40. 40.A basket has 6 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 6 : 27 (d) 9 : 2

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