Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 389 · 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.Write the ratio 6 : 18 in its simplest form. (a) 6 : 18 (b) 3 : 1 (c) 1 : 3 (d) 2 : 4
2. 2.A basket has 21 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 21 : 28
3. 3.₹70 is shared between Nisha and Gurpreet in the ratio 2 : 5. How many rupees does Gurpreet get?
4. 4.Write the ratio 4 : 28 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 2 : 8 (d) 4 : 28
5. 5.A box has 3 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 3 : 9 (d) 2 : 4
6. 6.1 : 7 = ? : 63
7. 7.1 : 6 = ? : 60
8. 8.Are 2, 10, 5 and 25 in proportion? (a) No (b) Yes
9. 9.1 : 4 = ? : 36
10. 10.2 : 3 = ? : 30
11. 11.Write the ratio 7 : 28 in its simplest form. (a) 4 : 1 (b) 7 : 28 (c) 1 : 4 (d) 2 : 5
12. 12.5 : 6 = ? : 18
13. 13.A bus goes 275 km in 5 hours. At the same speed, how many km does it go in 7 hours?
14. 14.A class has 42 boys and 49 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 8 (b) 7 : 6 (c) 6 : 7 (d) 42 : 49
15. 15.1 : 4 = 7 : ?
16. 16.Are 20, 36, 15 and 29 in proportion? (a) Yes (b) No
17. 17.Write the ratio 25 : 15 in its simplest form. (a) 6 : 4 (b) 5 : 3 (c) 25 : 15 (d) 3 : 5
18. 18.4 : 5 = ? : 35
19. 19.Write the ratio 63 : 18 in its simplest form. (a) 63 : 18 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
20. 20.If 6 pens cost ₹174, how many rupees do 3 pens cost?
21. 21.If 9 chocolates cost ₹306, how many rupees do 4 chocolates cost?
22. 22.1 : 2 = ? : 14
23. 23.If 2 pens cost ₹38, how many rupees do 7 pens cost?
24. 24.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
25. 25.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 7 hours?
26. 26.Write the ratio 12 : 21 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 5 : 8 (d) 12 : 21
27. 27.A box has 10 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 10 : 8 (c) 6 : 5 (d) 5 : 4
28. 28.If 3 ice creams cost ₹99, how many rupees do 12 ice creams cost?
29. 29.Write the ratio 16 : 6 in its simplest form. (a) 3 : 8 (b) 16 : 6 (c) 9 : 4 (d) 8 : 3
30. 30.Are 15, 35, 24 and 59 in proportion? (a) No (b) Yes
31. 31.₹510 is shared between Isha and Rahul in the ratio 8 : 9. How many rupees does Rahul get?
32. 32.If 3 notebooks cost ₹21, how many rupees do 5 notebooks cost?
33. 33.₹1050 is shared between Kabir and Pooja in the ratio 1 : 6. How many rupees does Pooja get?
34. 34.2 : 9 = ? : 27
35. 35.Are 6, 24, 5 and 22 in proportion? (a) Yes (b) No
36. 36.Write the ratio 10 : 15 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 10 : 15 (d) 3 : 4
37. 37.If 8 ice creams cost ₹448, how many rupees do 7 ice creams cost?
38. 38.1 : 2 = 2 : ?
39. 39.₹720 is shared between Aarav and Diya in the ratio 5 : 7. How many rupees does Diya get?
40. 40.A library shelf has 35 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 7 (b) 7 : 9 (c) 8 : 10 (d) 35 : 45

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