Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 381 · 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 24 : 4 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 24 : 4 (d) 7 : 2
2. 2.Are 21, 24, 35 and 42 in proportion? (a) No (b) Yes
3. 3.Write the ratio 42 : 7 in its simplest form. (a) 7 : 2 (b) 42 : 7 (c) 1 : 6 (d) 6 : 1
4. 4.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
5. 5.1 : 8 = 8 : ?
6. 6.₹350 is shared between Farhan and Ishaan in the ratio 1 : 4. How many rupees does Farhan get?
7. 7.If 4 mangoes cost ₹44, how many rupees do 12 mangoes cost?
8. 8.Are 20, 25, 32 and 41 in proportion? (a) No (b) Yes
9. 9.Write the ratio 5 : 35 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 5 : 35 (d) 2 : 8
10. 10.Are 24, 42, 20 and 35 in proportion? (a) No (b) Yes
11. 11.If 5 notebooks cost ₹115, how many rupees do 9 notebooks cost?
12. 12.Are 8, 36, 14 and 65 in proportion? (a) No (b) Yes
13. 13.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
14. 14.Write the ratio 24 : 16 in its simplest form. (a) 24 : 16 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
15. 15.Write the ratio 18 : 12 in its simplest form. (a) 18 : 12 (b) 4 : 3 (c) 3 : 2 (d) 2 : 3
16. 16.Are 21, 24, 42 and 51 in proportion? (a) Yes (b) No
17. 17.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
18. 18.₹2550 is shared between Rahul and Riya in the ratio 8 : 9. How many rupees does Rahul get?
19. 19.If 3 mangoes cost ₹45, how many rupees do 8 mangoes cost?
20. 20.1 : 3 = ? : 6
21. 21.5 : 6 = ? : 48
22. 22.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 5 hours?
23. 23.A basket has 45 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 45 : 20 (c) 10 : 5 (d) 9 : 4
24. 24.₹640 is shared between Zoya and Tara in the ratio 1 : 7. How many rupees does Tara get?
25. 25.₹210 is shared between Vivaan and Sneha in the ratio 1 : 6. How many rupees does Vivaan get?
26. 26.Write the ratio 45 : 25 in its simplest form. (a) 10 : 6 (b) 9 : 5 (c) 45 : 25 (d) 5 : 9
27. 27.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 2 hours?
28. 28.4 : 5 = 32 : ?
29. 29.If 5 chocolates cost ₹30, how many rupees do 2 chocolates cost?
30. 30.Write the ratio 18 : 4 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 18 : 4 (d) 10 : 3
31. 31.Write the ratio 4 : 24 in its simplest form. (a) 2 : 7 (b) 6 : 1 (c) 1 : 6 (d) 4 : 24
32. 32.A box has 24 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 9 (b) 8 : 3 (c) 9 : 4 (d) 3 : 8
33. 33.Write the ratio 6 : 42 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 6 : 42 (d) 1 : 7
34. 34.If 4 ice creams cost ₹224, how many rupees do 10 ice creams cost?
35. 35.Write the ratio 14 : 35 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 14 : 35 (d) 2 : 5
36. 36.1 : 9 = ? : 45
37. 37.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 6 hours?
38. 38.₹560 is shared between Zoya and Manav in the ratio 3 : 4. How many rupees does Zoya get?
39. 39.If 4 mangoes cost ₹88, how many rupees do 5 mangoes cost?
40. 40.Are 2, 16, 3 and 24 in proportion? (a) Yes (b) No

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