Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 414 · 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. 1.5 : 7 = ? : 21
2. 2.3 : 8 = ? : 64
3. 3.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
4. 4.A garden has 4 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 4 : 36 (d) 1 : 9
5. 5.A team has 36 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 36 : 42 (b) 7 : 8 (c) 7 : 6 (d) 6 : 7
6. 6.If 5 ice creams cost ₹85, how many rupees do 2 ice creams cost?
7. 7.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
8. 8.1 : 8 = ? : 48
9. 9.Are 14, 16, 21 and 26 in proportion? (a) No (b) Yes
10. 10.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
11. 11.A basket has 18 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 18 : 21 (c) 7 : 6 (d) 7 : 8
12. 12.₹1800 is shared between Rahul and Diya in the ratio 2 : 7. How many rupees does Rahul get?
13. 13.₹3230 is shared between Saanvi and Nisha in the ratio 8 : 9. How many rupees does Nisha get?
14. 14.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 3 hours?
15. 15.₹2550 is shared between Vivaan and Aditya in the ratio 7 : 8. How many rupees does Vivaan get?
16. 16.2 : 5 = 10 : ?
17. 17.5 : 9 = 15 : ?
18. 18.1 : 5 = 3 : ?
19. 19.A box has 24 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 6 (b) 24 : 20 (c) 7 : 6 (d) 6 : 5
20. 20.Write the ratio 8 : 4 in its simplest form. (a) 3 : 2 (b) 8 : 4 (c) 2 : 1 (d) 1 : 2
21. 21.Write the ratio 16 : 36 in its simplest form. (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 16 : 36
22. 22.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 2 hours?
23. 23.₹1560 is shared between Kabir and Vivaan in the ratio 5 : 7. How many rupees does Kabir get?
24. 24.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
25. 25.1 : 2 = 4 : ?
26. 26.₹2000 is shared between Rohan and Dev in the ratio 3 : 7. How many rupees does Dev get?
27. 27.Write the ratio 6 : 54 in its simplest form. (a) 6 : 54 (b) 1 : 9 (c) 9 : 1 (d) 2 : 10
28. 28.A library shelf has 2 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 4 (d) 2 : 3
29. 29.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
30. 30.₹1540 is shared between Sneha and Tara in the ratio 3 : 8. How many rupees does Tara get?
31. 31.If 6 ice creams cost ₹360, how many rupees do 5 ice creams cost?
32. 32.2 : 3 = ? : 15
33. 33.Write the ratio 18 : 10 in its simplest form. (a) 10 : 6 (b) 18 : 10 (c) 5 : 9 (d) 9 : 5
34. 34.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
35. 35.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
36. 36.5 : 8 = ? : 48
37. 37.7 : 9 = ? : 18
38. 38.Are 10, 25, 8 and 21 in proportion? (a) No (b) Yes
39. 39.If 2 ice creams cost ₹10, how many rupees do 5 ice creams cost?
40. 40.Write the ratio 25 : 35 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 6 : 8 (d) 25 : 35

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