Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 126 · 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 7 chocolates cost ₹252, how many rupees do 3 chocolates cost?
2. 2.If 5 notebooks cost ₹195, how many rupees do 8 notebooks cost?
3. 3.If 9 mangoes cost ₹171, how many rupees do 10 mangoes cost?
4. 4.1 : 3 = ? : 9
5. 5.Are 2, 18, 4 and 38 in proportion? (a) Yes (b) No
6. 6.Are 12, 20, 18 and 31 in proportion? (a) Yes (b) No
7. 7.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
8. 8.Are 24, 30, 8 and 13 in proportion? (a) Yes (b) No
9. 9.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 6 hours?
10. 10.7 : 9 = 14 : ?
11. 11.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
12. 12.If 8 notebooks cost ₹376, how many rupees do 4 notebooks cost?
13. 13.Write the ratio 18 : 8 in its simplest form. (a) 10 : 5 (b) 9 : 4 (c) 4 : 9 (d) 18 : 8
14. 14.If 8 notebooks cost ₹312, how many rupees do 2 notebooks cost?
15. 15.1 : 9 = ? : 72
16. 16.Write the ratio 8 : 4 in its simplest form. (a) 8 : 4 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
17. 17.3 : 5 = 6 : ?
18. 18.If 8 notebooks cost ₹328, how many rupees do 2 notebooks cost?
19. 19.₹810 is shared between Arjun and Pooja in the ratio 4 : 5. How many rupees does Pooja get?
20. 20.Write the ratio 20 : 32 in its simplest form. (a) 6 : 9 (b) 20 : 32 (c) 5 : 8 (d) 8 : 5
21. 21.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
22. 22.If 6 pens cost ₹102, how many rupees do 8 pens cost?
23. 23.If 7 mangoes cost ₹364, how many rupees do 5 mangoes cost?
24. 24.Are 4, 6, 6 and 9 in proportion? (a) Yes (b) No
25. 25.A garden has 6 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 8 (b) 6 : 42 (c) 7 : 1 (d) 1 : 7
26. 26.Write the ratio 54 : 9 in its simplest form. (a) 7 : 2 (b) 54 : 9 (c) 6 : 1 (d) 1 : 6
27. 27.A team has 45 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 6 : 2 (d) 45 : 9
28. 28.5 : 9 = ? : 36
29. 29.5 : 8 = 40 : ?
30. 30.A basket has 28 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 5 : 4 (c) 28 : 35 (d) 4 : 5
31. 31.Write the ratio 6 : 3 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 6 : 3 (d) 3 : 2
32. 32.₹130 is shared between Ishaan and Riya in the ratio 5 : 8. How many rupees does Ishaan get?
33. 33.1 : 2 = 5 : ?
34. 34.₹440 is shared between Manav and Rahul in the ratio 5 : 6. How many rupees does Manav get?
35. 35.Write the ratio 10 : 25 in its simplest form. (a) 10 : 25 (b) 5 : 2 (c) 3 : 6 (d) 2 : 5
36. 36.1 : 3 = ? : 12
37. 37.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
38. 38.₹2100 is shared between Ishaan and Aditya in the ratio 7 : 8. How many rupees does Aditya get?
39. 39.1 : 4 = ? : 12
40. 40.A garden has 2 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 2 : 4 (c) 2 : 1 (d) 2 : 3

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