Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 350 · 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 12, 32, 6 and 16 in proportion? (a) No (b) Yes
2. 2.Are 18, 42, 6 and 15 in proportion? (a) No (b) Yes
3. 3.If 9 mangoes cost ₹45, how many rupees do 3 mangoes cost?
4. 4.3 : 4 = 30 : ?
5. 5.A class has 25 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 2 (b) 25 : 5 (c) 1 : 5 (d) 5 : 1
6. 6.1 : 4 = 4 : ?
7. 7.Are 12, 21, 8 and 14 in proportion? (a) No (b) Yes
8. 8.Write the ratio 15 : 18 in its simplest form. (a) 5 : 6 (b) 15 : 18 (c) 6 : 5 (d) 6 : 7
9. 9.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
10. 10.Write the ratio 32 : 40 in its simplest form. (a) 4 : 5 (b) 5 : 6 (c) 5 : 4 (d) 32 : 40
11. 11.Write the ratio 21 : 27 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 8 : 10 (d) 21 : 27
12. 12.Write the ratio 9 : 54 in its simplest form. (a) 2 : 7 (b) 1 : 6 (c) 6 : 1 (d) 9 : 54
13. 13.A library shelf has 6 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 1 (b) 3 : 2 (c) 6 : 3 (d) 1 : 2
14. 14.₹1100 is shared between Manav and Kavya in the ratio 4 : 7. How many rupees does Kavya get?
15. 15.Write the ratio 35 : 7 in its simplest form. (a) 1 : 5 (b) 6 : 2 (c) 35 : 7 (d) 5 : 1
16. 16.If 3 pens cost ₹87, how many rupees do 5 pens cost?
17. 17.Write the ratio 14 : 8 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 8 : 5 (d) 14 : 8
18. 18.₹2080 is shared between Diya and Sneha in the ratio 4 : 9. How many rupees does Sneha get?
19. 19.1 : 2 = ? : 8
20. 20.If 6 mangoes cost ₹318, how many rupees do 2 mangoes cost?
21. 21.A basket has 5 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 10 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
22. 22.Write the ratio 35 : 20 in its simplest form. (a) 35 : 20 (b) 7 : 4 (c) 8 : 5 (d) 4 : 7
23. 23.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
24. 24.₹240 is shared between Saanvi and Rohan in the ratio 1 : 5. How many rupees does Rohan get?
25. 25.Write the ratio 27 : 6 in its simplest form. (a) 10 : 3 (b) 27 : 6 (c) 9 : 2 (d) 2 : 9
26. 26.₹2090 is shared between Aarav and Farhan in the ratio 5 : 6. How many rupees does Aarav get?
27. 27.Are 16, 28, 28 and 49 in proportion? (a) Yes (b) No
28. 28.₹1820 is shared between Gurpreet and Aarav in the ratio 5 : 8. How many rupees does Aarav get?
29. 29.Write the ratio 3 : 15 in its simplest form. (a) 2 : 6 (b) 5 : 1 (c) 3 : 15 (d) 1 : 5
30. 30.₹800 is shared between Tara and Ananya in the ratio 7 : 9. How many rupees does Tara get?
31. 31.2 : 9 = ? : 54
32. 32.A basket has 21 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 21 : 7 (c) 3 : 1 (d) 1 : 3
33. 33.Are 20, 35, 24 and 42 in proportion? (a) Yes (b) No
34. 34.2 : 7 = 20 : ?
35. 35.Write the ratio 21 : 24 in its simplest form. (a) 21 : 24 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
36. 36.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
37. 37.A basket has 25 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 6 : 4 (c) 25 : 15 (d) 3 : 5
38. 38.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 4 hours?
39. 39.₹80 is shared between Diya and Kabir in the ratio 1 : 7. How many rupees does Diya get?
40. 40.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?

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