Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 43 · 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 32 : 20 in its simplest form. (a) 32 : 20 (b) 9 : 6 (c) 8 : 5 (d) 5 : 8
2. 2.Write the ratio 15 : 27 in its simplest form. (a) 5 : 9 (b) 15 : 27 (c) 6 : 10 (d) 9 : 5
3. 3.Write the ratio 42 : 30 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 42 : 30 (d) 8 : 6
4. 4.A basket has 36 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 5 (b) 36 : 20 (c) 10 : 6 (d) 5 : 9
5. 5.7 : 8 = 28 : ?
6. 6.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
7. 7.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
8. 8.Write the ratio 6 : 24 in its simplest form. (a) 6 : 24 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
9. 9.If 6 mangoes cost ₹312, how many rupees do 10 mangoes cost?
10. 10.If 3 notebooks cost ₹135, how many rupees do 8 notebooks cost?
11. 11.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
12. 12.If 6 mangoes cost ₹72, how many rupees do 10 mangoes cost?
13. 13.2 : 9 = ? : 18
14. 14.Are 10, 35, 8 and 31 in proportion? (a) No (b) Yes
15. 15.₹270 is shared between Riya and Dev in the ratio 1 : 2. How many rupees does Riya get?
16. 16.₹560 is shared between Pooja and Joseph in the ratio 1 : 7. How many rupees does Pooja get?
17. 17.Are 4, 36, 6 and 55 in proportion? (a) Yes (b) No
18. 18.1 : 7 = 7 : ?
19. 19.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
20. 20.₹980 is shared between Zoya and Joseph in the ratio 2 : 5. How many rupees does Zoya get?
21. 21.If 2 notebooks cost ₹32, how many rupees do 3 notebooks cost?
22. 22.A class has 54 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 54 : 45 (b) 7 : 6 (c) 5 : 6 (d) 6 : 5
23. 23.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
24. 24.4 : 5 = ? : 20
25. 25.Are 20, 32, 40 and 64 in proportion? (a) Yes (b) No
26. 26.1 : 6 = 10 : ?
27. 27.A basket has 2 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 10 (b) 2 : 18 (c) 1 : 9 (d) 9 : 1
28. 28.A basket has 20 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 20 : 16 (b) 5 : 4 (c) 6 : 5 (d) 4 : 5
29. 29.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
30. 30.If 3 bus tickets cost ₹135, how many rupees do 12 bus tickets cost?
31. 31.A basket has 18 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 18 : 21 (d) 7 : 8
32. 32.Write the ratio 10 : 4 in its simplest form. (a) 6 : 3 (b) 5 : 2 (c) 2 : 5 (d) 10 : 4
33. 33.1 : 3 = 5 : ?
34. 34.Are 15, 25, 12 and 20 in proportion? (a) No (b) Yes
35. 35.If 7 ice creams cost ₹315, how many rupees do 12 ice creams cost?
36. 36.₹1710 is shared between Diya and Isha in the ratio 1 : 8. How many rupees does Diya get?
37. 37.3 : 7 = ? : 35
38. 38.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
39. 39.If 3 pens cost ₹69, how many rupees do 4 pens cost?
40. 40.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 5 hours?

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