Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 423 · 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. 1.3 : 4 = ? : 12
2. 2.Write the ratio 35 : 25 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 35 : 25
3. 3.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 1 hour?
4. 4.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
5. 5.Write the ratio 9 : 81 in its simplest form. (a) 1 : 9 (b) 9 : 81 (c) 2 : 10 (d) 9 : 1
6. 6.3 : 7 = ? : 42
7. 7.If 3 mangoes cost ₹87, how many rupees do 9 mangoes cost?
8. 8.Are 6, 42, 5 and 35 in proportion? (a) No (b) Yes
9. 9.Write the ratio 15 : 9 in its simplest form. (a) 5 : 3 (b) 15 : 9 (c) 3 : 5 (d) 6 : 4
10. 10.7 : 9 = ? : 72
11. 11.₹240 is shared between Manav and Rahul in the ratio 1 : 5. How many rupees does Manav get?
12. 12.If 4 chocolates cost ₹32, how many rupees do 6 chocolates cost?
13. 13.A class has 28 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 28 : 16 (b) 8 : 5 (c) 7 : 4 (d) 4 : 7
14. 14.Write the ratio 40 : 64 in its simplest form. (a) 6 : 9 (b) 40 : 64 (c) 5 : 8 (d) 8 : 5
15. 15.Write the ratio 15 : 24 in its simplest form. (a) 5 : 8 (b) 6 : 9 (c) 15 : 24 (d) 8 : 5
16. 16.Write the ratio 32 : 36 in its simplest form. (a) 9 : 8 (b) 9 : 10 (c) 8 : 9 (d) 32 : 36
17. 17.A garden has 35 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 35 : 49 (d) 7 : 5
18. 18.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?
19. 19.1 : 3 = 9 : ?
20. 20.1 : 6 = ? : 36
21. 21.Write the ratio 12 : 21 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 5 : 8 (d) 12 : 21
22. 22.₹3200 is shared between Zoya and Kabir in the ratio 7 : 9. How many rupees does Zoya get?
23. 23.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
24. 24.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
25. 25.Write the ratio 18 : 8 in its simplest form. (a) 10 : 5 (b) 9 : 4 (c) 4 : 9 (d) 18 : 8
26. 26.₹1820 is shared between Saanvi and Aarav in the ratio 5 : 8. How many rupees does Saanvi get?
27. 27.₹180 is shared between Tara and Pooja in the ratio 4 : 5. How many rupees does Tara get?
28. 28.If 5 chocolates cost ₹260, how many rupees do 11 chocolates cost?
29. 29.Are 3, 6, 2 and 4 in proportion? (a) No (b) Yes
30. 30.4 : 5 = ? : 10
31. 31.A team has 32 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 32 : 40
32. 32.1 : 5 = ? : 35
33. 33.If 2 notebooks cost ₹120, how many rupees do 6 notebooks cost?
34. 34.Are 5, 20, 8 and 33 in proportion? (a) No (b) Yes
35. 35.₹420 is shared between Aarav and Kavya in the ratio 5 : 9. How many rupees does Kavya get?
36. 36.Are 4, 16, 7 and 28 in proportion? (a) No (b) Yes
37. 37.A train goes 325 km in 5 hours. At the same speed, how many km does it go in 3 hours?
38. 38.A class has 12 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 21 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
39. 39.₹270 is shared between Vivaan and Ananya in the ratio 1 : 8. How many rupees does Vivaan get?
40. 40.3 : 4 = 6 : ?

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