Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 401 · 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 28 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 8 : 2 (d) 28 : 4
2. 2.A class has 14 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 14 : 18 (d) 8 : 10
3. 3.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
4. 4.3 : 5 = 18 : ?
5. 5.4 : 7 = ? : 35
6. 6.A box has 5 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 4 (b) 1 : 3 (c) 5 : 15 (d) 3 : 1
7. 7.₹260 is shared between Ananya and Rahul in the ratio 4 : 9. How many rupees does Ananya get?
8. 8.Are 20, 45, 16 and 36 in proportion? (a) No (b) Yes
9. 9.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 4 hours?
10. 10.Are 35, 45, 42 and 57 in proportion? (a) Yes (b) No
11. 11.₹720 is shared between Kavya and Ananya in the ratio 4 : 5. How many rupees does Ananya get?
12. 12.₹1980 is shared between Rahul and Isha in the ratio 3 : 8. How many rupees does Isha get?
13. 13.1 : 4 = 10 : ?
14. 14.If 4 pens cost ₹56, how many rupees do 6 pens cost?
15. 15.₹1120 is shared between Nisha and Kabir in the ratio 1 : 7. How many rupees does Kabir get?
16. 16.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
17. 17.If 5 mangoes cost ₹265, how many rupees do 9 mangoes cost?
18. 18.A class has 30 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 2 (b) 6 : 1 (c) 30 : 5 (d) 1 : 6
19. 19.If 2 ice creams cost ₹26, how many rupees do 12 ice creams cost?
20. 20.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
21. 21.1 : 4 = 4 : ?
22. 22.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
23. 23.If 3 pens cost ₹84, how many rupees do 11 pens cost?
24. 24.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 8 hours?
25. 25.If 8 ice creams cost ₹360, how many rupees do 10 ice creams cost?
26. 26.If 4 pens cost ₹52, how many rupees do 12 pens cost?
27. 27.If 3 pens cost ₹51, how many rupees do 11 pens cost?
28. 28.If 4 chocolates cost ₹156, how many rupees do 6 chocolates cost?
29. 29.1 : 3 = 3 : ?
30. 30.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 7 hours?
31. 31.₹750 is shared between Gurpreet and Saanvi in the ratio 1 : 4. How many rupees does Saanvi get?
32. 32.Are 18, 30, 15 and 25 in proportion? (a) No (b) Yes
33. 33.5 : 8 = 25 : ?
34. 34.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
35. 35.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
36. 36.1 : 4 = ? : 32
37. 37.If 8 chocolates cost ₹408, how many rupees do 2 chocolates cost?
38. 38.Are 10, 15, 6 and 10 in proportion? (a) No (b) Yes
39. 39.A library shelf has 42 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 42 : 24 (b) 7 : 4 (c) 8 : 5 (d) 4 : 7
40. 40.If 2 ice creams cost ₹40, how many rupees do 9 ice creams cost?

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