Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 152 · 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.₹450 is shared between Ishaan and Zoya in the ratio 4 : 5. How many rupees does Zoya get?
2. 2.₹1440 is shared between Pooja and Farhan in the ratio 7 : 9. How many rupees does Pooja get?
3. 3.₹1000 is shared between Manav and Vivaan in the ratio 1 : 9. How many rupees does Manav get?
4. 4.₹1200 is shared between Meera and Gurpreet in the ratio 7 : 8. How many rupees does Meera get?
5. 5.Are 24, 30, 16 and 21 in proportion? (a) Yes (b) No
6. 6.₹160 is shared between Joseph and Pooja in the ratio 3 : 5. How many rupees does Pooja get?
7. 7.3 : 7 = ? : 21
8. 8.5 : 7 = 10 : ?
9. 9.Are 15, 25, 6 and 12 in proportion? (a) No (b) Yes
10. 10.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 1 hour?
11. 11.2 : 3 = 14 : ?
12. 12.A basket has 72 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 72 : 8 (d) 10 : 2
13. 13.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 4 hours?
14. 14.If 5 chocolates cost ₹15, how many rupees do 10 chocolates cost?
15. 15.Are 35, 45, 42 and 54 in proportion? (a) Yes (b) No
16. 16.A team has 14 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 14 : 21 (b) 2 : 3 (c) 3 : 2 (d) 3 : 4
17. 17.Write the ratio 6 : 15 in its simplest form. (a) 6 : 15 (b) 3 : 6 (c) 5 : 2 (d) 2 : 5
18. 18.A library shelf has 42 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 42 : 36 (c) 7 : 6 (d) 6 : 7
19. 19.3 : 5 = ? : 15
20. 20.3 : 7 = 9 : ?
21. 21.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
22. 22.Write the ratio 49 : 56 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 49 : 56 (d) 8 : 7
23. 23.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
24. 24.7 : 8 = ? : 72
25. 25.Are 18, 24, 27 and 36 in proportion? (a) Yes (b) No
26. 26.Write the ratio 3 : 21 in its simplest form. (a) 7 : 1 (b) 3 : 21 (c) 2 : 8 (d) 1 : 7
27. 27.₹1920 is shared between Manav and Saanvi in the ratio 7 : 9. How many rupees does Saanvi get?
28. 28.₹110 is shared between Isha and Joseph in the ratio 3 : 8. How many rupees does Joseph get?
29. 29.Are 12, 32, 21 and 56 in proportion? (a) Yes (b) No
30. 30.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
31. 31.1 : 9 = 10 : ?
32. 32.₹100 is shared between Tara and Diya in the ratio 3 : 7. How many rupees does Diya get?
33. 33.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
34. 34.Write the ratio 5 : 30 in its simplest form. (a) 2 : 7 (b) 6 : 1 (c) 1 : 6 (d) 5 : 30
35. 35.Are 2, 10, 4 and 20 in proportion? (a) Yes (b) No
36. 36.If 3 chocolates cost ₹123, how many rupees do 9 chocolates cost?
37. 37.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
38. 38.₹800 is shared between Dev and Aarav in the ratio 1 : 7. How many rupees does Aarav get?
39. 39.A garden has 64 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 8 (b) 9 : 10 (c) 8 : 9 (d) 64 : 72
40. 40.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?

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