Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 333 · 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.₹480 is shared between Kabir and Sneha in the ratio 1 : 7. How many rupees does Kabir get?
2. 2.Write the ratio 40 : 5 in its simplest form. (a) 1 : 8 (b) 8 : 1 (c) 40 : 5 (d) 9 : 2
3. 3.A box has 12 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 12 : 16 (c) 4 : 5 (d) 3 : 4
4. 4.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 4 hours?
5. 5.1 : 6 = ? : 18
6. 6.Are 18, 30, 12 and 23 in proportion? (a) Yes (b) No
7. 7.Are 20, 24, 25 and 33 in proportion? (a) Yes (b) No
8. 8.1 : 2 = 2 : ?
9. 9.If 7 ice creams cost ₹371, how many rupees do 12 ice creams cost?
10. 10.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
11. 11.Write the ratio 3 : 15 in its simplest form. (a) 3 : 15 (b) 5 : 1 (c) 1 : 5 (d) 2 : 6
12. 12.If 4 notebooks cost ₹228, how many rupees do 7 notebooks cost?
13. 13.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
14. 14.Are 6, 8, 24 and 33 in proportion? (a) Yes (b) No
15. 15.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 2 hours?
16. 16.₹220 is shared between Meera and Sneha in the ratio 5 : 6. How many rupees does Meera get?
17. 17.Are 10, 15, 6 and 11 in proportion? (a) Yes (b) No
18. 18.5 : 9 = 10 : ?
19. 19.3 : 5 = 12 : ?
20. 20.Write the ratio 5 : 20 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 5 : 20 (d) 4 : 1
21. 21.7 : 8 = ? : 56
22. 22.Are 8, 10, 12 and 16 in proportion? (a) Yes (b) No
23. 23.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 5 hours?
24. 24.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
25. 25.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
26. 26.A basket has 7 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 28 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
27. 27.Write the ratio 15 : 21 in its simplest form. (a) 7 : 5 (b) 15 : 21 (c) 5 : 7 (d) 6 : 8
28. 28.3 : 8 = 27 : ?
29. 29.4 : 9 = ? : 72
30. 30.5 : 8 = ? : 72
31. 31.₹2210 is shared between Karan and Arjun in the ratio 8 : 9. How many rupees does Arjun get?
32. 32.A garden has 18 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 18 : 24
33. 33.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Write the ratio 36 : 8 in its simplest form. (a) 2 : 9 (b) 10 : 3 (c) 36 : 8 (d) 9 : 2
35. 35.5 : 6 = ? : 24
36. 36.If 7 mangoes cost ₹364, how many rupees do 2 mangoes cost?
37. 37.₹330 is shared between Sneha and Kavya in the ratio 5 : 6. How many rupees does Kavya get?
38. 38.Write the ratio 10 : 35 in its simplest form. (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 10 : 35
39. 39.A class has 81 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 9 (b) 81 : 72 (c) 9 : 8 (d) 8 : 9
40. 40.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?

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