Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 110 · 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.If 8 ice creams cost ₹448, how many rupees do 11 ice creams cost?
2. 2.₹70 is shared between Rahul and Vivaan in the ratio 3 : 4. How many rupees does Rahul get?
3. 3.3 : 7 = ? : 35
4. 4.₹420 is shared between Riya and Zoya in the ratio 1 : 5. How many rupees does Riya get?
5. 5.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
6. 6.Write the ratio 28 : 63 in its simplest form. (a) 28 : 63 (b) 9 : 4 (c) 4 : 9 (d) 5 : 10
7. 7.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
8. 8.₹1430 is shared between Ananya and Aarav in the ratio 5 : 6. How many rupees does Ananya get?
9. 9.3 : 7 = 15 : ?
10. 10.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
11. 11.A basket has 30 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 2 (b) 6 : 3 (c) 30 : 12 (d) 2 : 5
12. 12.3 : 7 = 9 : ?
13. 13.Write the ratio 12 : 28 in its simplest form. (a) 7 : 3 (b) 4 : 8 (c) 12 : 28 (d) 3 : 7
14. 14.A class has 24 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 6 (b) 24 : 30 (c) 4 : 5 (d) 5 : 4
15. 15.If 7 ice creams cost ₹77, how many rupees do 3 ice creams cost?
16. 16.₹810 is shared between Aditya and Diya in the ratio 4 : 5. How many rupees does Diya get?
17. 17.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 2 hours?
18. 18.Write the ratio 3 : 15 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 3 : 15 (d) 5 : 1
19. 19.A box has 6 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 6 : 9
20. 20.A basket has 32 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 8 (b) 8 : 7 (c) 9 : 8 (d) 32 : 28
21. 21.Are 15, 21, 10 and 14 in proportion? (a) No (b) Yes
22. 22.A team has 21 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 21 : 35 (b) 5 : 3 (c) 3 : 5 (d) 4 : 6
23. 23.Write the ratio 24 : 4 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 7 : 2 (d) 24 : 4
24. 24.A basket has 27 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 21 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
25. 25.Write the ratio 6 : 15 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 6 : 15 (d) 2 : 5
26. 26.Are 9, 24, 12 and 32 in proportion? (a) Yes (b) No
27. 27.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 16 : 12 (c) 4 : 3 (d) 3 : 4
28. 28.Are 6, 8, 24 and 35 in proportion? (a) No (b) Yes
29. 29.If 2 bus tickets cost ₹120, how many rupees do 8 bus tickets cost?
30. 30.5 : 6 = ? : 24
31. 31.Write the ratio 16 : 12 in its simplest form. (a) 4 : 3 (b) 16 : 12 (c) 3 : 4 (d) 5 : 4
32. 32.3 : 4 = 15 : ?
33. 33.Write the ratio 35 : 21 in its simplest form. (a) 6 : 4 (b) 3 : 5 (c) 5 : 3 (d) 35 : 21
34. 34.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 6 hours?
35. 35.Are 4, 8, 2 and 7 in proportion? (a) Yes (b) No
36. 36.A basket has 12 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 12 : 10 (c) 7 : 6 (d) 5 : 6
37. 37.4 : 9 = 36 : ?
38. 38.If 9 pens cost ₹324, how many rupees do 12 pens cost?
39. 39.If 5 chocolates cost ₹295, how many rupees do 6 chocolates cost?
40. 40.3 : 4 = ? : 16

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