Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 243 · 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 16 : 18 in its simplest form. (a) 8 : 9 (b) 9 : 10 (c) 16 : 18 (d) 9 : 8
2. 2.If 7 pens cost ₹217, how many rupees do 8 pens cost?
3. 3.2 : 3 = ? : 30
4. 4.3 : 5 = 21 : ?
5. 5.₹850 is shared between Arjun and Vivaan in the ratio 1 : 4. How many rupees does Arjun get?
6. 6.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
7. 7.Write the ratio 20 : 36 in its simplest form. (a) 9 : 5 (b) 6 : 10 (c) 5 : 9 (d) 20 : 36
8. 8.If 8 notebooks cost ₹424, how many rupees do 5 notebooks cost?
9. 9.Write the ratio 3 : 9 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 3 : 9 (d) 2 : 4
10. 10.A basket has 32 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 5 : 2 (d) 32 : 8
11. 11.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
12. 12.Are 10, 18, 20 and 38 in proportion? (a) Yes (b) No
13. 13.A box has 2 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 5 (b) 4 : 1 (c) 2 : 8 (d) 1 : 4
14. 14.A library shelf has 36 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 36 : 6
15. 15.A garden has 10 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 4 (b) 10 : 8 (c) 4 : 5 (d) 6 : 5
16. 16.If 2 ice creams cost ₹18, how many rupees do 11 ice creams cost?
17. 17.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
18. 18.If 4 ice creams cost ₹224, how many rupees do 5 ice creams cost?
19. 19.Are 15, 27, 20 and 36 in proportion? (a) Yes (b) No
20. 20.Are 24, 54, 16 and 36 in proportion? (a) No (b) Yes
21. 21.Write the ratio 27 : 45 in its simplest form. (a) 27 : 45 (b) 5 : 3 (c) 3 : 5 (d) 4 : 6
22. 22.Are 6, 24, 7 and 28 in proportion? (a) No (b) Yes
23. 23.If 8 bus tickets cost ₹384, how many rupees do 3 bus tickets cost?
24. 24.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
25. 25.If 5 bus tickets cost ₹200, how many rupees do 12 bus tickets cost?
26. 26.1 : 5 = 8 : ?
27. 27.4 : 7 = ? : 56
28. 28.Are 9, 15, 15 and 26 in proportion? (a) Yes (b) No
29. 29.A basket has 21 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 12 (b) 8 : 5 (c) 4 : 7 (d) 7 : 4
30. 30.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
31. 31.A scooter goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
32. 32.Write the ratio 5 : 15 in its simplest form. (a) 3 : 1 (b) 5 : 15 (c) 1 : 3 (d) 2 : 4
33. 33.Are 2, 8, 5 and 20 in proportion? (a) No (b) Yes
34. 34.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
35. 35.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 4 hours?
36. 36.₹2080 is shared between Vivaan and Pooja in the ratio 4 : 9. How many rupees does Vivaan get?
37. 37.A garden has 14 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 7 (b) 8 : 9 (c) 7 : 8 (d) 14 : 16
38. 38.If 3 pens cost ₹54, how many rupees do 11 pens cost?
39. 39.4 : 5 = 20 : ?
40. 40.A box has 30 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 30 : 48 (d) 8 : 5

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