Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 397 · 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 team has 12 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 12 : 18 (b) 2 : 3 (c) 3 : 4 (d) 3 : 2
2. 2.Are 5, 25, 6 and 31 in proportion? (a) Yes (b) No
3. 3.Write the ratio 8 : 10 in its simplest form. (a) 5 : 4 (b) 5 : 6 (c) 8 : 10 (d) 4 : 5
4. 4.If 5 notebooks cost ₹150, how many rupees do 7 notebooks cost?
5. 5.Are 6, 8, 9 and 15 in proportion? (a) No (b) Yes
6. 6.2 : 5 = ? : 45
7. 7.7 : 9 = 49 : ?
8. 8.1 : 8 = 10 : ?
9. 9.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 7 hours?
10. 10.Write the ratio 18 : 21 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 18 : 21 (d) 6 : 7
11. 11.₹1080 is shared between Lakshmi and Nisha in the ratio 1 : 5. How many rupees does Lakshmi get?
12. 12.Are 30, 35, 12 and 16 in proportion? (a) No (b) Yes
13. 13.If 4 mangoes cost ₹192, how many rupees do 11 mangoes cost?
14. 14.4 : 5 = ? : 35
15. 15.Write the ratio 4 : 14 in its simplest form. (a) 4 : 14 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
16. 16.A garden has 9 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 9 : 15 (d) 4 : 6
17. 17.Write the ratio 10 : 16 in its simplest form. (a) 10 : 16 (b) 8 : 5 (c) 6 : 9 (d) 5 : 8
18. 18.Are 10, 25, 18 and 45 in proportion? (a) No (b) Yes
19. 19.₹450 is shared between Diya and Aarav in the ratio 1 : 8. How many rupees does Aarav get?
20. 20.If 9 notebooks cost ₹459, how many rupees do 6 notebooks cost?
21. 21.A garden has 16 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 9 : 6 (c) 8 : 5 (d) 16 : 10
22. 22.If 2 chocolates cost ₹118, how many rupees do 3 chocolates cost?
23. 23.₹90 is shared between Ishaan and Nisha in the ratio 4 : 5. How many rupees does Ishaan get?
24. 24.Write the ratio 10 : 12 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 6 : 5 (d) 10 : 12
25. 25.Write the ratio 54 : 24 in its simplest form. (a) 10 : 5 (b) 4 : 9 (c) 54 : 24 (d) 9 : 4
26. 26.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
27. 27.3 : 8 = ? : 16
28. 28.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 6 hours?
29. 29.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
30. 30.₹200 is shared between Ananya and Riya in the ratio 1 : 3. How many rupees does Riya get?
31. 31.₹210 is shared between Lakshmi and Isha in the ratio 2 : 5. How many rupees does Lakshmi get?
32. 32.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 5 hours?
33. 33.A team has 45 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 45 : 54
34. 34.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
35. 35.If 2 pens cost ₹52, how many rupees do 11 pens cost?
36. 36.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
37. 37.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 4 hours?
38. 38.₹700 is shared between Gurpreet and Pooja in the ratio 2 : 3. How many rupees does Pooja get?
39. 39.A garden has 10 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 18 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
40. 40.3 : 4 = 24 : ?

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