Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 177 · 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 9 notebooks cost ₹432, how many rupees do 2 notebooks cost?
2. 2.1 : 2 = 8 : ?
3. 3.₹1500 is shared between Kavya and Rahul in the ratio 3 : 7. How many rupees does Kavya get?
4. 4.₹500 is shared between Aarav and Sneha in the ratio 1 : 4. How many rupees does Sneha get?
5. 5.₹900 is shared between Kavya and Diya in the ratio 1 : 4. How many rupees does Kavya get?
6. 6.If 5 ice creams cost ₹140, how many rupees do 7 ice creams cost?
7. 7.If 6 bus tickets cost ₹156, how many rupees do 2 bus tickets cost?
8. 8.5 : 9 = 25 : ?
9. 9.Are 9, 12, 6 and 8 in proportion? (a) No (b) Yes
10. 10.2 : 3 = 18 : ?
11. 11.Write the ratio 16 : 24 in its simplest form. (a) 3 : 4 (b) 16 : 24 (c) 2 : 3 (d) 3 : 2
12. 12.₹240 is shared between Kavya and Joseph in the ratio 1 : 3. How many rupees does Kavya get?
13. 13.Are 9, 15, 21 and 35 in proportion? (a) Yes (b) No
14. 14.A team has 12 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 6 (b) 12 : 14 (c) 6 : 7 (d) 7 : 8
15. 15.A basket has 4 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 4 : 12 (c) 2 : 4 (d) 3 : 1
16. 16.8 : 9 = 80 : ?
17. 17.Write the ratio 56 : 63 in its simplest form. (a) 56 : 63 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
18. 18.A garden has 8 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 10 (b) 9 : 4 (c) 4 : 9 (d) 8 : 18
19. 19.A class has 15 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 9 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
20. 20.Write the ratio 10 : 35 in its simplest form. (a) 2 : 7 (b) 7 : 2 (c) 10 : 35 (d) 3 : 8
21. 21.Are 12, 27, 28 and 63 in proportion? (a) No (b) Yes
22. 22.₹560 is shared between Meera and Rohan in the ratio 1 : 3. How many rupees does Rohan get?
23. 23.Are 8, 28, 18 and 63 in proportion? (a) Yes (b) No
24. 24.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 2 hours?
25. 25.If 2 bus tickets cost ₹36, how many rupees do 12 bus tickets cost?
26. 26.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
27. 27.A box has 3 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 10 (b) 9 : 1 (c) 1 : 9 (d) 3 : 27
28. 28.If 6 notebooks cost ₹30, how many rupees do 3 notebooks cost?
29. 29.Write the ratio 35 : 30 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 35 : 30 (d) 7 : 6
30. 30.A library shelf has 9 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 9 : 15
31. 31.Are 12, 32, 6 and 18 in proportion? (a) Yes (b) No
32. 32.Write the ratio 2 : 4 in its simplest form. (a) 1 : 2 (b) 2 : 1 (c) 2 : 4 (d) 2 : 3
33. 33.If 2 bus tickets cost ₹54, how many rupees do 9 bus tickets cost?
34. 34.Write the ratio 12 : 28 in its simplest form. (a) 4 : 8 (b) 7 : 3 (c) 3 : 7 (d) 12 : 28
35. 35.If 9 mangoes cost ₹360, how many rupees do 7 mangoes cost?
36. 36.Are 8, 36, 16 and 72 in proportion? (a) No (b) Yes
37. 37.Write the ratio 35 : 25 in its simplest form. (a) 8 : 6 (b) 5 : 7 (c) 35 : 25 (d) 7 : 5
38. 38.Are 5, 10, 8 and 18 in proportion? (a) No (b) Yes
39. 39.If 3 bus tickets cost ₹24, how many rupees do 8 bus tickets cost?
40. 40.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 4 hours?

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