Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 362 · 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 35, 40, 28 and 34 in proportion? (a) No (b) Yes
2. 2.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
3. 3.A team has 42 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 42 : 30
4. 4.If 6 chocolates cost ₹204, how many rupees do 2 chocolates cost?
5. 5.If 5 bus tickets cost ₹180, how many rupees do 2 bus tickets cost?
6. 6.Are 9, 24, 21 and 56 in proportion? (a) Yes (b) No
7. 7.If 9 mangoes cost ₹351, how many rupees do 12 mangoes cost?
8. 8.Write the ratio 54 : 30 in its simplest form. (a) 54 : 30 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
9. 9.If 5 pens cost ₹90, how many rupees do 11 pens cost?
10. 10.₹800 is shared between Farhan and Saanvi in the ratio 7 : 9. How many rupees does Saanvi get?
11. 11.If 4 ice creams cost ₹152, how many rupees do 7 ice creams cost?
12. 12.Are 30, 36, 15 and 21 in proportion? (a) No (b) Yes
13. 13.A box has 45 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 5 (b) 5 : 9 (c) 45 : 81 (d) 6 : 10
14. 14.Are 36, 42, 30 and 35 in proportion? (a) No (b) Yes
15. 15.₹1950 is shared between Isha and Vivaan in the ratio 7 : 8. How many rupees does Isha get?
16. 16.A garden has 27 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 27 : 18 (b) 3 : 2 (c) 4 : 3 (d) 2 : 3
17. 17.2 : 5 = 8 : ?
18. 18.Write the ratio 4 : 2 in its simplest form. (a) 3 : 2 (b) 2 : 1 (c) 4 : 2 (d) 1 : 2
19. 19.₹110 is shared between Zoya and Aditya in the ratio 2 : 9. How many rupees does Aditya get?
20. 20.If 4 ice creams cost ₹72, how many rupees do 11 ice creams cost?
21. 21.4 : 9 = 12 : ?
22. 22.8 : 9 = ? : 72
23. 23.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 3 : 6 (c) 1 : 2 (d) 2 : 1
24. 24.Write the ratio 6 : 42 in its simplest form. (a) 6 : 42 (b) 7 : 1 (c) 1 : 7 (d) 2 : 8
25. 25.If 3 mangoes cost ₹36, how many rupees do 10 mangoes cost?
26. 26.Are 5, 15, 3 and 9 in proportion? (a) No (b) Yes
27. 27.Are 18, 48, 9 and 25 in proportion? (a) Yes (b) No
28. 28.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
29. 29.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
30. 30.Write the ratio 15 : 9 in its simplest form. (a) 3 : 5 (b) 6 : 4 (c) 5 : 3 (d) 15 : 9
31. 31.₹2090 is shared between Pooja and Ananya in the ratio 3 : 8. How many rupees does Pooja get?
32. 32.₹960 is shared between Ishaan and Sneha in the ratio 3 : 5. How many rupees does Sneha get?
33. 33.₹2200 is shared between Dev and Manav in the ratio 2 : 9. How many rupees does Manav get?
34. 34.₹560 is shared between Arjun and Isha in the ratio 3 : 4. How many rupees does Isha get?
35. 35.1 : 7 = ? : 35
36. 36.Write the ratio 7 : 21 in its simplest form. (a) 2 : 4 (b) 1 : 3 (c) 7 : 21 (d) 3 : 1
37. 37.Write the ratio 12 : 9 in its simplest form. (a) 4 : 3 (b) 12 : 9 (c) 5 : 4 (d) 3 : 4
38. 38.A garden has 42 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 5 (b) 7 : 4 (c) 4 : 7 (d) 42 : 24
39. 39.Write the ratio 25 : 35 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 25 : 35 (d) 6 : 8
40. 40.A basket has 10 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 2 (b) 5 : 1 (c) 1 : 5 (d) 10 : 2

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