Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 52 · 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.Write the ratio 48 : 6 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 48 : 6 (d) 9 : 2
2. 2.1 : 9 = 8 : ?
3. 3.2 : 5 = ? : 45
4. 4.Write the ratio 21 : 49 in its simplest form. (a) 21 : 49 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
5. 5.Write the ratio 20 : 25 in its simplest form. (a) 4 : 5 (b) 5 : 6 (c) 5 : 4 (d) 20 : 25
6. 6.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 1 hour?
7. 7.A garden has 3 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 1 : 3 (d) 3 : 9
8. 8.2 : 5 = 10 : ?
9. 9.7 : 8 = 63 : ?
10. 10.Write the ratio 30 : 12 in its simplest form. (a) 30 : 12 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
11. 11.Are 5, 10, 7 and 17 in proportion? (a) No (b) Yes
12. 12.A garden has 4 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 2 (b) 4 : 10 (c) 2 : 5 (d) 3 : 6
13. 13.Write the ratio 6 : 2 in its simplest form. (a) 6 : 2 (b) 4 : 2 (c) 3 : 1 (d) 1 : 3
14. 14.Are 48, 54, 40 and 45 in proportion? (a) Yes (b) No
15. 15.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 5 hours?
16. 16.₹750 is shared between Gurpreet and Diya in the ratio 2 : 3. How many rupees does Diya get?
17. 17.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 35 : 28 (d) 5 : 4
18. 18.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 6 hours?
19. 19.₹2080 is shared between Pooja and Rohan in the ratio 4 : 9. How many rupees does Rohan get?
20. 20.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
21. 21.₹2600 is shared between Joseph and Dev in the ratio 4 : 9. How many rupees does Dev get?
22. 22.3 : 4 = 27 : ?
23. 23.If 4 mangoes cost ₹236, how many rupees do 5 mangoes cost?
24. 24.5 : 7 = 10 : ?
25. 25.Write the ratio 10 : 6 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 10 : 6 (d) 6 : 4
26. 26.₹220 is shared between Aarav and Zoya in the ratio 5 : 6. How many rupees does Zoya get?
27. 27.₹2200 is shared between Diya and Meera in the ratio 4 : 7. How many rupees does Meera get?
28. 28.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 7 hours?
29. 29.A library shelf has 10 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 10 : 25 (d) 3 : 6
30. 30.If 4 notebooks cost ₹128, how many rupees do 8 notebooks cost?
31. 31.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
32. 32.₹540 is shared between Saanvi and Dev in the ratio 1 : 8. How many rupees does Dev get?
33. 33.Write the ratio 24 : 21 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 24 : 21 (d) 7 : 8
34. 34.1 : 9 = 3 : ?
35. 35.A library shelf has 27 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 27 : 18
36. 36.₹300 is shared between Arjun and Karan in the ratio 1 : 5. How many rupees does Karan get?
37. 37.If 8 ice creams cost ₹144, how many rupees do 2 ice creams cost?
38. 38.1 : 7 = 8 : ?
39. 39.If 5 pens cost ₹240, how many rupees do 4 pens cost?
40. 40.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?

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