Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 317 · 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 basket has 63 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 63 : 45 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
2. 2.Are 6, 15, 16 and 41 in proportion? (a) Yes (b) No
3. 3.If 7 mangoes cost ₹385, how many rupees do 8 mangoes cost?
4. 4.Write the ratio 6 : 54 in its simplest form. (a) 2 : 10 (b) 6 : 54 (c) 1 : 9 (d) 9 : 1
5. 5.If 9 notebooks cost ₹423, how many rupees do 7 notebooks cost?
6. 6.5 : 9 = ? : 36
7. 7.Are 30, 42, 10 and 16 in proportion? (a) No (b) Yes
8. 8.If 2 pens cost ₹116, how many rupees do 3 pens cost?
9. 9.Write the ratio 14 : 4 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 14 : 4
10. 10.If 4 bus tickets cost ₹16, how many rupees do 7 bus tickets cost?
11. 11.Write the ratio 21 : 15 in its simplest form. (a) 8 : 6 (b) 5 : 7 (c) 21 : 15 (d) 7 : 5
12. 12.₹990 is shared between Rohan and Gurpreet in the ratio 4 : 5. How many rupees does Rohan get?
13. 13.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
14. 14.A class has 24 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 1 (b) 24 : 4 (c) 7 : 2 (d) 1 : 6
15. 15.If 6 notebooks cost ₹342, how many rupees do 8 notebooks cost?
16. 16.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
17. 17.Write the ratio 21 : 12 in its simplest form. (a) 21 : 12 (b) 8 : 5 (c) 4 : 7 (d) 7 : 4
18. 18.Are 10, 15, 14 and 22 in proportion? (a) No (b) Yes
19. 19.Write the ratio 64 : 8 in its simplest form. (a) 9 : 2 (b) 8 : 1 (c) 64 : 8 (d) 1 : 8
20. 20.A library shelf has 42 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 7 (b) 42 : 30 (c) 8 : 6 (d) 7 : 5
21. 21.Are 16, 20, 8 and 12 in proportion? (a) Yes (b) No
22. 22.Are 4, 24, 3 and 21 in proportion? (a) No (b) Yes
23. 23.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 2 hours?
24. 24.A garden has 15 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 15 : 35 (c) 3 : 7 (d) 4 : 8
25. 25.Write the ratio 14 : 10 in its simplest form. (a) 7 : 5 (b) 14 : 10 (c) 5 : 7 (d) 8 : 6
26. 26.If 7 bus tickets cost ₹280, how many rupees do 3 bus tickets cost?
27. 27.A bus goes 225 km in 5 hours. At the same speed, how many km does it go in 2 hours?
28. 28.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
29. 29.Write the ratio 12 : 10 in its simplest form. (a) 7 : 6 (b) 12 : 10 (c) 6 : 5 (d) 5 : 6
30. 30.Write the ratio 10 : 25 in its simplest form. (a) 2 : 5 (b) 10 : 25 (c) 5 : 2 (d) 3 : 6
31. 31.If 8 ice creams cost ₹32, how many rupees do 5 ice creams cost?
32. 32.If 3 pens cost ₹105, how many rupees do 2 pens cost?
33. 33.4 : 9 = 20 : ?
34. 34.Are 4, 14, 14 and 52 in proportion? (a) No (b) Yes
35. 35.Are 9, 15, 12 and 20 in proportion? (a) Yes (b) No
36. 36.₹1620 is shared between Riya and Aditya in the ratio 4 : 5. How many rupees does Aditya get?
37. 37.A garden has 7 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 21 (b) 1 : 3 (c) 2 : 4 (d) 3 : 1
38. 38.Write the ratio 35 : 14 in its simplest form. (a) 5 : 2 (b) 6 : 3 (c) 2 : 5 (d) 35 : 14
39. 39.₹180 is shared between Diya and Joseph in the ratio 1 : 2. How many rupees does Joseph get?
40. 40.8 : 9 = 56 : ?

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