Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 298 · 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 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
2. 2.A class has 12 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 5 : 6 (d) 12 : 15
3. 3.₹1210 is shared between Dev and Karan in the ratio 5 : 6. How many rupees does Karan get?
4. 4.Write the ratio 10 : 8 in its simplest form. (a) 5 : 4 (b) 10 : 8 (c) 6 : 5 (d) 4 : 5
5. 5.Are 3, 21, 9 and 63 in proportion? (a) No (b) Yes
6. 6.Write the ratio 20 : 28 in its simplest form. (a) 6 : 8 (b) 5 : 7 (c) 7 : 5 (d) 20 : 28
7. 7.Are 3, 15, 2 and 11 in proportion? (a) Yes (b) No
8. 8.If 2 chocolates cost ₹26, how many rupees do 12 chocolates cost?
9. 9.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 7 hours?
10. 10.A basket has 4 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 4 : 12 (d) 1 : 3
11. 11.Write the ratio 4 : 8 in its simplest form. (a) 4 : 8 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
12. 12.7 : 8 = 21 : ?
13. 13.A team has 48 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 48 : 18 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
14. 14.A basket has 12 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 12 : 3 (c) 4 : 1 (d) 1 : 4
15. 15.If 5 ice creams cost ₹80, how many rupees do 3 ice creams cost?
16. 16.If 4 pens cost ₹120, how many rupees do 12 pens cost?
17. 17.A library shelf has 10 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 25 (b) 5 : 2 (c) 3 : 6 (d) 2 : 5
18. 18.Are 15, 24, 30 and 48 in proportion? (a) Yes (b) No
19. 19.Are 2, 6, 3 and 10 in proportion? (a) Yes (b) No
20. 20.3 : 7 = 12 : ?
21. 21.Are 16, 36, 20 and 46 in proportion? (a) Yes (b) No
22. 22.Write the ratio 48 : 56 in its simplest form. (a) 7 : 6 (b) 48 : 56 (c) 7 : 8 (d) 6 : 7
23. 23.4 : 9 = ? : 27
24. 24.5 : 6 = ? : 24
25. 25.5 : 9 = ? : 81
26. 26.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
27. 27.Are 5, 20, 2 and 9 in proportion? (a) No (b) Yes
28. 28.Are 3, 6, 9 and 18 in proportion? (a) No (b) Yes
29. 29.Write the ratio 7 : 49 in its simplest form. (a) 1 : 7 (b) 2 : 8 (c) 7 : 49 (d) 7 : 1
30. 30.Write the ratio 6 : 42 in its simplest form. (a) 6 : 42 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
31. 31.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
32. 32.₹40 is shared between Nisha and Joseph in the ratio 1 : 3. How many rupees does Joseph get?
33. 33.₹2200 is shared between Vivaan and Lakshmi in the ratio 3 : 8. How many rupees does Lakshmi get?
34. 34.Write the ratio 36 : 63 in its simplest form. (a) 4 : 7 (b) 5 : 8 (c) 36 : 63 (d) 7 : 4
35. 35.Write the ratio 36 : 16 in its simplest form. (a) 10 : 5 (b) 36 : 16 (c) 9 : 4 (d) 4 : 9
36. 36.Write the ratio 27 : 45 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 27 : 45
37. 37.If 7 mangoes cost ₹49, how many rupees do 8 mangoes cost?
38. 38.₹2040 is shared between Kavya and Meera in the ratio 8 : 9. How many rupees does Meera get?
39. 39.₹2210 is shared between Rahul and Manav in the ratio 5 : 8. How many rupees does Rahul get?
40. 40.₹2240 is shared between Nisha and Lakshmi in the ratio 7 : 9. How many rupees does Lakshmi get?

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