Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 120 · 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 basket has 54 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 10 : 5 (d) 54 : 24
2. 2.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 5 hours?
3. 3.A basket has 8 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 8 : 24 (d) 2 : 4
4. 4.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
5. 5.7 : 8 = ? : 64
6. 6.If 2 chocolates cost ₹62, how many rupees do 4 chocolates cost?
7. 7.Write the ratio 30 : 6 in its simplest form. (a) 6 : 2 (b) 5 : 1 (c) 30 : 6 (d) 1 : 5
8. 8.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
9. 9.If 3 pens cost ₹48, how many rupees do 6 pens cost?
10. 10.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 1 hour?
11. 11.Write the ratio 20 : 8 in its simplest form. (a) 6 : 3 (b) 20 : 8 (c) 5 : 2 (d) 2 : 5
12. 12.If 9 mangoes cost ₹135, how many rupees do 8 mangoes cost?
13. 13.2 : 5 = ? : 15
14. 14.A box has 4 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 4 (b) 2 : 5 (c) 4 : 16 (d) 4 : 1
15. 15.5 : 7 = ? : 14
16. 16.A bus goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
17. 17.Write the ratio 35 : 25 in its simplest form. (a) 8 : 6 (b) 7 : 5 (c) 35 : 25 (d) 5 : 7
18. 18.A basket has 5 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 2 : 6 (c) 5 : 25 (d) 5 : 1
19. 19.Are 3, 15, 7 and 35 in proportion? (a) No (b) Yes
20. 20.If 9 ice creams cost ₹504, how many rupees do 5 ice creams cost?
21. 21.Write the ratio 32 : 28 in its simplest form. (a) 9 : 8 (b) 7 : 8 (c) 32 : 28 (d) 8 : 7
22. 22.4 : 7 = 16 : ?
23. 23.A team has 56 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 56 : 16 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
24. 24.2 : 3 = ? : 12
25. 25.₹650 is shared between Saanvi and Nisha in the ratio 6 : 7. How many rupees does Saanvi get?
26. 26.2 : 5 = ? : 10
27. 27.Are 35, 40, 21 and 24 in proportion? (a) Yes (b) No
28. 28.Write the ratio 2 : 4 in its simplest form. (a) 2 : 1 (b) 2 : 3 (c) 2 : 4 (d) 1 : 2
29. 29.2 : 3 = 18 : ?
30. 30.If 9 mangoes cost ₹99, how many rupees do 2 mangoes cost?
31. 31.₹1680 is shared between Isha and Nisha in the ratio 5 : 9. How many rupees does Isha get?
32. 32.5 : 6 = 45 : ?
33. 33.₹450 is shared between Kabir and Vivaan in the ratio 2 : 3. How many rupees does Kabir get?
34. 34.If 4 bus tickets cost ₹36, how many rupees do 12 bus tickets cost?
35. 35.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
36. 36.If 7 ice creams cost ₹119, how many rupees do 8 ice creams cost?
37. 37.Write the ratio 63 : 7 in its simplest form. (a) 63 : 7 (b) 1 : 9 (c) 10 : 2 (d) 9 : 1
38. 38.A class has 45 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 72 (b) 5 : 8 (c) 8 : 5 (d) 6 : 9
39. 39.If 5 ice creams cost ₹80, how many rupees do 2 ice creams cost?
40. 40.If 9 ice creams cost ₹486, how many rupees do 7 ice creams cost?

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