Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 282 · 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.Write the ratio 72 : 40 in its simplest form. (a) 9 : 5 (b) 10 : 6 (c) 5 : 9 (d) 72 : 40
2. 2.Write the ratio 49 : 28 in its simplest form. (a) 7 : 4 (b) 49 : 28 (c) 8 : 5 (d) 4 : 7
3. 3.If 8 bus tickets cost ₹232, how many rupees do 3 bus tickets cost?
4. 4.If 6 notebooks cost ₹306, how many rupees do 10 notebooks cost?
5. 5.A class has 12 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 3 (b) 3 : 7 (c) 4 : 8 (d) 12 : 28
6. 6.Are 6, 48, 2 and 16 in proportion? (a) No (b) Yes
7. 7.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 7 hours?
8. 8.₹130 is shared between Kavya and Isha in the ratio 5 : 8. How many rupees does Isha get?
9. 9.₹520 is shared between Vivaan and Dev in the ratio 6 : 7. How many rupees does Dev get?
10. 10.₹720 is shared between Lakshmi and Dev in the ratio 1 : 7. How many rupees does Lakshmi get?
11. 11.4 : 7 = 36 : ?
12. 12.Write the ratio 8 : 48 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 8 : 48
13. 13.4 : 7 = ? : 21
14. 14.₹910 is shared between Arjun and Aarav in the ratio 5 : 8. How many rupees does Arjun get?
15. 15.₹2240 is shared between Ananya and Karan in the ratio 5 : 9. How many rupees does Ananya get?
16. 16.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 7 hours?
17. 17.₹2800 is shared between Sneha and Joseph in the ratio 5 : 9. How many rupees does Sneha get?
18. 18.₹1430 is shared between Aditya and Gurpreet in the ratio 4 : 9. How many rupees does Aditya get?
19. 19.Are 4, 12, 8 and 24 in proportion? (a) Yes (b) No
20. 20.Write the ratio 56 : 49 in its simplest form. (a) 7 : 8 (b) 9 : 8 (c) 56 : 49 (d) 8 : 7
21. 21.Are 6, 15, 18 and 47 in proportion? (a) Yes (b) No
22. 22.A garden has 18 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 4 : 8 (c) 3 : 7 (d) 18 : 42
23. 23.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
24. 24.Write the ratio 21 : 49 in its simplest form. (a) 4 : 8 (b) 7 : 3 (c) 21 : 49 (d) 3 : 7
25. 25.A class has 15 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 40 (b) 8 : 3 (c) 4 : 9 (d) 3 : 8
26. 26.6 : 7 = 36 : ?
27. 27.Write the ratio 42 : 24 in its simplest form. (a) 42 : 24 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
28. 28.3 : 8 = ? : 24
29. 29.3 : 5 = ? : 15
30. 30.A box has 64 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 8 (b) 8 : 7 (c) 64 : 56 (d) 9 : 8
31. 31.4 : 9 = 8 : ?
32. 32.1 : 3 = ? : 24
33. 33.A library shelf has 20 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 20 : 4 (d) 6 : 2
34. 34.Write the ratio 81 : 63 in its simplest form. (a) 81 : 63 (b) 7 : 9 (c) 9 : 7 (d) 10 : 8
35. 35.If 9 chocolates cost ₹63, how many rupees do 3 chocolates cost?
36. 36.₹1040 is shared between Karan and Isha in the ratio 4 : 9. How many rupees does Karan get?
37. 37.A box has 8 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 40 (b) 5 : 1 (c) 1 : 5 (d) 2 : 6
38. 38.2 : 9 = 8 : ?
39. 39.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 6 hours?
40. 40.5 : 7 = ? : 42

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