Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 102 · 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. 1.1 : 3 = 5 : ?
2. 2.1 : 5 = 7 : ?
3. 3.If 8 ice creams cost ₹40, how many rupees do 11 ice creams cost?
4. 4.A train goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
5. 5.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
6. 6.Are 5, 35, 7 and 50 in proportion? (a) Yes (b) No
7. 7.Are 5, 20, 2 and 9 in proportion? (a) Yes (b) No
8. 8.If 7 ice creams cost ₹413, how many rupees do 9 ice creams cost?
9. 9.Write the ratio 42 : 30 in its simplest form. (a) 42 : 30 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
10. 10.A garden has 7 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 8 (b) 2 : 9 (c) 7 : 56 (d) 8 : 1
11. 11.₹420 is shared between Meera and Ishaan in the ratio 1 : 2. How many rupees does Ishaan get?
12. 12.Write the ratio 21 : 18 in its simplest form. (a) 21 : 18 (b) 6 : 7 (c) 7 : 6 (d) 8 : 7
13. 13.₹1080 is shared between Sneha and Aarav in the ratio 1 : 5. How many rupees does Sneha get?
14. 14.A basket has 6 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 9 (b) 8 : 1 (c) 6 : 48 (d) 1 : 8
15. 15.A library shelf has 6 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 8 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
16. 16.₹2040 is shared between Ananya and Lakshmi in the ratio 8 : 9. How many rupees does Lakshmi get?
17. 17.A basket has 18 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 24 (b) 3 : 4 (c) 4 : 3 (d) 4 : 5
18. 18.Are 14, 16, 35 and 40 in proportion? (a) Yes (b) No
19. 19.Write the ratio 12 : 3 in its simplest form. (a) 4 : 1 (b) 12 : 3 (c) 5 : 2 (d) 1 : 4
20. 20.A class has 21 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 1 (b) 21 : 7 (c) 4 : 2 (d) 1 : 3
21. 21.Are 12, 21, 36 and 63 in proportion? (a) Yes (b) No
22. 22.Are 15, 20, 21 and 28 in proportion? (a) No (b) Yes
23. 23.If 9 bus tickets cost ₹504, how many rupees do 7 bus tickets cost?
24. 24.1 : 6 = ? : 36
25. 25.Write the ratio 54 : 63 in its simplest form. (a) 7 : 6 (b) 6 : 7 (c) 54 : 63 (d) 7 : 8
26. 26.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
27. 27.Write the ratio 3 : 6 in its simplest form. (a) 3 : 6 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
28. 28.Write the ratio 3 : 12 in its simplest form. (a) 1 : 4 (b) 3 : 12 (c) 4 : 1 (d) 2 : 5
29. 29.Write the ratio 18 : 4 in its simplest form. (a) 9 : 2 (b) 10 : 3 (c) 18 : 4 (d) 2 : 9
30. 30.3 : 4 = 6 : ?
31. 31.A basket has 42 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 42 : 54 (b) 8 : 10 (c) 9 : 7 (d) 7 : 9
32. 32.Are 2, 8, 5 and 21 in proportion? (a) No (b) Yes
33. 33.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
34. 34.₹720 is shared between Vivaan and Saanvi in the ratio 1 : 7. How many rupees does Saanvi get?
35. 35.If 2 bus tickets cost ₹6, how many rupees do 6 bus tickets cost?
36. 36.Are 40, 45, 64 and 72 in proportion? (a) No (b) Yes
37. 37.Are 16, 28, 28 and 50 in proportion? (a) No (b) Yes
38. 38.A box has 24 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 24 : 28 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
39. 39.Are 6, 14, 15 and 35 in proportion? (a) No (b) Yes
40. 40.Are 10, 15, 4 and 6 in proportion? (a) Yes (b) No

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