Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 113 · 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.₹420 is shared between Tara and Farhan in the ratio 3 : 4. How many rupees does Farhan get?
2. 2.Are 8, 20, 4 and 10 in proportion? (a) Yes (b) No
3. 3.Write the ratio 18 : 4 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 18 : 4 (d) 10 : 3
4. 4.2 : 9 = ? : 27
5. 5.Are 15, 24, 35 and 56 in proportion? (a) No (b) Yes
6. 6.Are 18, 48, 6 and 16 in proportion? (a) No (b) Yes
7. 7.7 : 8 = ? : 80
8. 8.If 2 mangoes cost ₹100, how many rupees do 4 mangoes cost?
9. 9.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
10. 10.5 : 9 = 30 : ?
11. 11.5 : 6 = 40 : ?
12. 12.₹840 is shared between Gurpreet and Rohan in the ratio 2 : 5. How many rupees does Gurpreet get?
13. 13.A team has 45 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 5 : 6 (c) 6 : 5 (d) 45 : 54
14. 14.If 7 chocolates cost ₹196, how many rupees do 12 chocolates cost?
15. 15.₹1800 is shared between Dev and Rohan in the ratio 1 : 8. How many rupees does Dev get?
16. 16.Are 12, 32, 27 and 73 in proportion? (a) No (b) Yes
17. 17.₹1870 is shared between Priya and Lakshmi in the ratio 3 : 8. How many rupees does Priya get?
18. 18.₹110 is shared between Kabir and Meera in the ratio 4 : 7. How many rupees does Kabir get?
19. 19.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 1 hour?
20. 20.If 3 notebooks cost ₹36, how many rupees do 2 notebooks cost?
21. 21.A basket has 3 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 9 (b) 2 : 4 (c) 1 : 3 (d) 3 : 1
22. 22.If 2 ice creams cost ₹66, how many rupees do 5 ice creams cost?
23. 23.4 : 7 = ? : 70
24. 24.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
25. 25.1 : 6 = ? : 54
26. 26.Write the ratio 12 : 42 in its simplest form. (a) 7 : 2 (b) 3 : 8 (c) 12 : 42 (d) 2 : 7
27. 27.Are 5, 20, 2 and 8 in proportion? (a) No (b) Yes
28. 28.5 : 9 = ? : 54
29. 29.A box has 72 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 5 (b) 72 : 32 (c) 4 : 9 (d) 9 : 4
30. 30.Write the ratio 24 : 4 in its simplest form. (a) 1 : 6 (b) 24 : 4 (c) 7 : 2 (d) 6 : 1
31. 31.A basket has 49 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 9 (b) 49 : 63 (c) 8 : 10 (d) 9 : 7
32. 32.1 : 5 = ? : 35
33. 33.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
34. 34.1 : 4 = 4 : ?
35. 35.Write the ratio 16 : 6 in its simplest form. (a) 3 : 8 (b) 9 : 4 (c) 16 : 6 (d) 8 : 3
36. 36.2 : 7 = ? : 56
37. 37.If 9 chocolates cost ₹243, how many rupees do 11 chocolates cost?
38. 38.A garden has 48 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 3 (b) 3 : 8 (c) 9 : 4 (d) 48 : 18
39. 39.A library shelf has 2 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 2 : 6 (d) 2 : 4
40. 40.5 : 8 = 35 : ?

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