Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 272 · 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 car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
2. 2.Write the ratio 24 : 21 in its simplest form. (a) 24 : 21 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
3. 3.Are 3, 24, 9 and 72 in proportion? (a) No (b) Yes
4. 4.Write the ratio 20 : 5 in its simplest form. (a) 1 : 4 (b) 20 : 5 (c) 5 : 2 (d) 4 : 1
5. 5.Are 20, 35, 12 and 21 in proportion? (a) No (b) Yes
6. 6.Are 9, 12, 24 and 33 in proportion? (a) Yes (b) No
7. 7.A class has 42 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 7 (b) 8 : 5 (c) 7 : 4 (d) 42 : 24
8. 8.1 : 3 = ? : 12
9. 9.7 : 8 = ? : 40
10. 10.Write the ratio 16 : 18 in its simplest form. (a) 16 : 18 (b) 8 : 9 (c) 9 : 8 (d) 9 : 10
11. 11.If 9 notebooks cost ₹351, how many rupees do 7 notebooks cost?
12. 12.7 : 8 = ? : 64
13. 13.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 5 : 6 (c) 5 : 4 (d) 4 : 5
14. 14.₹910 is shared between Farhan and Kabir in the ratio 3 : 4. How many rupees does Farhan get?
15. 15.₹2200 is shared between Ananya and Farhan in the ratio 3 : 8. How many rupees does Farhan get?
16. 16.Write the ratio 28 : 49 in its simplest form. (a) 28 : 49 (b) 4 : 7 (c) 7 : 4 (d) 5 : 8
17. 17.If 5 bus tickets cost ₹130, how many rupees do 4 bus tickets cost?
18. 18.A garden has 35 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 35 : 15 (b) 8 : 4 (c) 7 : 3 (d) 3 : 7
19. 19.Are 16, 20, 20 and 25 in proportion? (a) No (b) Yes
20. 20.2 : 7 = ? : 28
21. 21.Write the ratio 15 : 40 in its simplest form. (a) 4 : 9 (b) 8 : 3 (c) 3 : 8 (d) 15 : 40
22. 22.Write the ratio 35 : 28 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 35 : 28 (d) 5 : 4
23. 23.If 8 chocolates cost ₹152, how many rupees do 5 chocolates cost?
24. 24.2 : 5 = 16 : ?
25. 25.Are 6, 27, 12 and 55 in proportion? (a) Yes (b) No
26. 26.Are 5, 30, 6 and 37 in proportion? (a) Yes (b) No
27. 27.₹300 is shared between Kabir and Sneha in the ratio 2 : 3. How many rupees does Kabir get?
28. 28.A basket has 6 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 12 (b) 1 : 2 (c) 2 : 3 (d) 2 : 1
29. 29.Are 9, 21, 12 and 28 in proportion? (a) No (b) Yes
30. 30.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
31. 31.₹1080 is shared between Isha and Riya in the ratio 1 : 8. How many rupees does Riya get?
32. 32.If 5 ice creams cost ₹165, how many rupees do 8 ice creams cost?
33. 33.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
34. 34.Are 6, 27, 12 and 56 in proportion? (a) No (b) Yes
35. 35.A box has 16 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 2 (b) 16 : 8 (c) 2 : 1 (d) 1 : 2
36. 36.Write the ratio 40 : 72 in its simplest form. (a) 9 : 5 (b) 40 : 72 (c) 6 : 10 (d) 5 : 9
37. 37.Write the ratio 15 : 25 in its simplest form. (a) 15 : 25 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
38. 38.Are 2, 12, 9 and 57 in proportion? (a) No (b) Yes
39. 39.Are 3, 6, 2 and 4 in proportion? (a) Yes (b) No
40. 40.Write the ratio 18 : 4 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 10 : 3 (d) 18 : 4

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