Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 16 · 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.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 8 hours?
2. 2.If 9 pens cost ₹126, how many rupees do 2 pens cost?
3. 3.A basket has 10 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 10 (b) 2 : 9 (c) 10 : 45 (d) 9 : 2
4. 4.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
5. 5.4 : 5 = ? : 50
6. 6.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 3 hours?
7. 7.₹720 is shared between Joseph and Vivaan in the ratio 3 : 5. How many rupees does Vivaan get?
8. 8.A basket has 10 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 1 (b) 10 : 2 (c) 6 : 2 (d) 1 : 5
9. 9.Are 2, 10, 4 and 23 in proportion? (a) Yes (b) No
10. 10.Write the ratio 6 : 15 in its simplest form. (a) 5 : 2 (b) 6 : 15 (c) 2 : 5 (d) 3 : 6
11. 11.If 8 notebooks cost ₹440, how many rupees do 6 notebooks cost?
12. 12.4 : 7 = ? : 56
13. 13.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 8 hours?
14. 14.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
15. 15.Are 14, 18, 35 and 48 in proportion? (a) Yes (b) No
16. 16.1 : 6 = ? : 18
17. 17.₹520 is shared between Ananya and Arjun in the ratio 6 : 7. How many rupees does Arjun get?
18. 18.Are 42, 48, 14 and 18 in proportion? (a) No (b) Yes
19. 19.If 3 chocolates cost ₹144, how many rupees do 11 chocolates cost?
20. 20.2 : 9 = ? : 18
21. 21.A class has 10 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 6 : 4 (d) 10 : 6
22. 22.₹330 is shared between Joseph and Aditya in the ratio 4 : 7. How many rupees does Joseph get?
23. 23.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 1 hour?
24. 24.A box has 10 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 4 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
25. 25.Are 2, 8, 8 and 32 in proportion? (a) No (b) Yes
26. 26.₹1040 is shared between Nisha and Gurpreet in the ratio 5 : 8. How many rupees does Nisha get?
27. 27.Are 9, 21, 12 and 28 in proportion? (a) No (b) Yes
28. 28.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
29. 29.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 1 hour?
30. 30.1 : 5 = ? : 10
31. 31.₹910 is shared between Ananya and Manav in the ratio 3 : 4. How many rupees does Manav get?
32. 32.Write the ratio 3 : 6 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 3 : 6 (d) 2 : 3
33. 33.₹270 is shared between Karan and Saanvi in the ratio 1 : 2. How many rupees does Saanvi get?
34. 34.Write the ratio 15 : 5 in its simplest form. (a) 15 : 5 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
35. 35.A team has 24 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 5 : 6 (d) 24 : 30
36. 36.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
37. 37.Are 4, 36, 3 and 29 in proportion? (a) Yes (b) No
38. 38.₹2200 is shared between Pooja and Zoya in the ratio 2 : 9. How many rupees does Zoya get?
39. 39.Write the ratio 24 : 9 in its simplest form. (a) 24 : 9 (b) 9 : 4 (c) 8 : 3 (d) 3 : 8
40. 40.A class has 27 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 4 : 3 (d) 27 : 18

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