Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 382 · 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 5, 30, 9 and 55 in proportion? (a) Yes (b) No
2. 2.1 : 4 = 7 : ?
3. 3.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
4. 4.If 8 notebooks cost ₹104, how many rupees do 2 notebooks cost?
5. 5.Write the ratio 24 : 20 in its simplest form. (a) 7 : 6 (b) 5 : 6 (c) 6 : 5 (d) 24 : 20
6. 6.If 8 notebooks cost ₹432, how many rupees do 4 notebooks cost?
7. 7.1 : 3 = 10 : ?
8. 8.A box has 35 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 35 : 63 (c) 5 : 9 (d) 9 : 5
9. 9.₹2250 is shared between Rohan and Kabir in the ratio 7 : 8. How many rupees does Rohan get?
10. 10.Are 8, 10, 24 and 30 in proportion? (a) No (b) Yes
11. 11.2 : 9 = 4 : ?
12. 12.A team has 9 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 27 (b) 1 : 3 (c) 3 : 1 (d) 2 : 4
13. 13.If 9 pens cost ₹90, how many rupees do 5 pens cost?
14. 14.₹150 is shared between Isha and Riya in the ratio 7 : 8. How many rupees does Riya get?
15. 15.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 5 hours?
16. 16.Are 6, 30, 8 and 43 in proportion? (a) Yes (b) No
17. 17.Write the ratio 56 : 7 in its simplest form. (a) 56 : 7 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
18. 18.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
19. 19.Write the ratio 14 : 63 in its simplest form. (a) 2 : 9 (b) 14 : 63 (c) 3 : 10 (d) 9 : 2
20. 20.₹110 is shared between Isha and Diya in the ratio 4 : 7. How many rupees does Diya get?
21. 21.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
22. 22.If 7 chocolates cost ₹182, how many rupees do 8 chocolates cost?
23. 23.Are 6, 10, 15 and 26 in proportion? (a) Yes (b) No
24. 24.Write the ratio 28 : 21 in its simplest form. (a) 3 : 4 (b) 28 : 21 (c) 4 : 3 (d) 5 : 4
25. 25.A bus goes 350 km in 5 hours. At the same speed, how many km does it go in 8 hours?
26. 26.If 6 mangoes cost ₹108, how many rupees do 7 mangoes cost?
27. 27.Write the ratio 9 : 6 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 4 : 3 (d) 9 : 6
28. 28.Are 12, 20, 9 and 16 in proportion? (a) No (b) Yes
29. 29.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
30. 30.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
31. 31.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 5 hours?
32. 32.1 : 9 = ? : 36
33. 33.Write the ratio 35 : 63 in its simplest form. (a) 5 : 9 (b) 6 : 10 (c) 35 : 63 (d) 9 : 5
34. 34.₹1040 is shared between Sneha and Manav in the ratio 3 : 5. How many rupees does Manav get?
35. 35.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
36. 36.Are 4, 16, 5 and 22 in proportion? (a) No (b) Yes
37. 37.₹500 is shared between Kabir and Sneha in the ratio 1 : 4. How many rupees does Sneha get?
38. 38.Are 15, 20, 6 and 11 in proportion? (a) Yes (b) No
39. 39.If 4 notebooks cost ₹204, how many rupees do 3 notebooks cost?
40. 40.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?

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