Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 13 · 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. 1.2 : 7 = 18 : ?
2. 2.Are 42, 54, 21 and 28 in proportion? (a) Yes (b) No
3. 3.1 : 4 = 2 : ?
4. 4.A team has 5 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 2 : 5 (d) 5 : 20
5. 5.₹1080 is shared between Vivaan and Zoya in the ratio 1 : 8. How many rupees does Vivaan get?
6. 6.₹540 is shared between Pooja and Karan in the ratio 1 : 5. How many rupees does Karan get?
7. 7.Write the ratio 35 : 14 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 35 : 14 (d) 5 : 2
8. 8.₹350 is shared between Saanvi and Dev in the ratio 1 : 6. How many rupees does Dev get?
9. 9.Write the ratio 42 : 6 in its simplest form. (a) 7 : 1 (b) 42 : 6 (c) 8 : 2 (d) 1 : 7
10. 10.A library shelf has 6 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 8 (b) 7 : 2 (c) 6 : 21 (d) 2 : 7
11. 11.5 : 7 = ? : 28
12. 12.A box has 45 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 45 : 54 (b) 6 : 7 (c) 5 : 6 (d) 6 : 5
13. 13.5 : 8 = ? : 80
14. 14.₹450 is shared between Meera and Sneha in the ratio 4 : 5. How many rupees does Meera get?
15. 15.If 7 notebooks cost ₹140, how many rupees do 12 notebooks cost?
16. 16.Are 8, 10, 36 and 45 in proportion? (a) No (b) Yes
17. 17.Are 4, 18, 8 and 36 in proportion? (a) No (b) Yes
18. 18.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
19. 19.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
20. 20.A team has 4 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 2 (b) 4 : 18 (c) 3 : 10 (d) 2 : 9
21. 21.If 6 pens cost ₹264, how many rupees do 11 pens cost?
22. 22.₹1600 is shared between Zoya and Diya in the ratio 3 : 7. How many rupees does Zoya get?
23. 23.Are 16, 20, 8 and 10 in proportion? (a) No (b) Yes
24. 24.A basket has 16 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 2 (b) 16 : 8 (c) 2 : 1 (d) 1 : 2
25. 25.Write the ratio 28 : 32 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 28 : 32 (d) 8 : 7
26. 26.7 : 9 = 42 : ?
27. 27.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
28. 28.Are 15, 24, 45 and 75 in proportion? (a) Yes (b) No
29. 29.Are 20, 45, 28 and 64 in proportion? (a) Yes (b) No
30. 30.4 : 9 = ? : 27
31. 31.If 2 mangoes cost ₹90, how many rupees do 12 mangoes cost?
32. 32.3 : 5 = 15 : ?
33. 33.₹1430 is shared between Kabir and Ananya in the ratio 5 : 8. How many rupees does Ananya get?
34. 34.4 : 9 = ? : 45
35. 35.If 6 bus tickets cost ₹84, how many rupees do 7 bus tickets cost?
36. 36.3 : 5 = 24 : ?
37. 37.Write the ratio 35 : 45 in its simplest form. (a) 7 : 9 (b) 8 : 10 (c) 9 : 7 (d) 35 : 45
38. 38.₹1440 is shared between Lakshmi and Aditya in the ratio 1 : 8. How many rupees does Aditya get?
39. 39.₹910 is shared between Saanvi and Isha in the ratio 1 : 6. How many rupees does Isha get?
40. 40.A garden has 6 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 6 : 14 (c) 4 : 8 (d) 7 : 3

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