Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 130 · 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 6 notebooks cost ₹294, how many rupees do 5 notebooks cost?
2. 2.If 3 pens cost ₹63, how many rupees do 4 pens cost?
3. 3.Write the ratio 4 : 12 in its simplest form. (a) 1 : 3 (b) 4 : 12 (c) 3 : 1 (d) 2 : 4
4. 4.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
5. 5.1 : 6 = ? : 18
6. 6.₹720 is shared between Meera and Karan in the ratio 2 : 7. How many rupees does Meera get?
7. 7.Write the ratio 18 : 27 in its simplest form. (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 18 : 27
8. 8.Write the ratio 49 : 35 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 8 : 6 (d) 49 : 35
9. 9.Are 3, 21, 2 and 16 in proportion? (a) No (b) Yes
10. 10.Are 10, 25, 18 and 47 in proportion? (a) Yes (b) No
11. 11.If 5 pens cost ₹175, how many rupees do 11 pens cost?
12. 12.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
13. 13.If 6 ice creams cost ₹336, how many rupees do 4 ice creams cost?
14. 14.If 8 notebooks cost ₹304, how many rupees do 3 notebooks cost?
15. 15.A scooter goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
16. 16.Write the ratio 45 : 81 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 45 : 81
17. 17.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
18. 18.Are 4, 6, 10 and 15 in proportion? (a) No (b) Yes
19. 19.Write the ratio 12 : 54 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 12 : 54 (d) 2 : 9
20. 20.If 7 pens cost ₹63, how many rupees do 12 pens cost?
21. 21.Write the ratio 48 : 42 in its simplest form. (a) 48 : 42 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
22. 22.4 : 9 = 16 : ?
23. 23.If 7 chocolates cost ₹28, how many rupees do 3 chocolates cost?
24. 24.Write the ratio 10 : 12 in its simplest form. (a) 6 : 5 (b) 10 : 12 (c) 6 : 7 (d) 5 : 6
25. 25.A basket has 16 mangoes and 10 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 9 : 6 (d) 16 : 10
26. 26.Are 14, 16, 42 and 49 in proportion? (a) No (b) Yes
27. 27.If 7 notebooks cost ₹301, how many rupees do 5 notebooks cost?
28. 28.3 : 5 = 27 : ?
29. 29.Write the ratio 12 : 4 in its simplest form. (a) 3 : 1 (b) 4 : 2 (c) 12 : 4 (d) 1 : 3
30. 30.Are 5, 25, 8 and 40 in proportion? (a) No (b) Yes
31. 31.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 4 hours?
32. 32.1 : 9 = 4 : ?
33. 33.Are 15, 35, 24 and 56 in proportion? (a) No (b) Yes
34. 34.Are 30, 42, 20 and 30 in proportion? (a) No (b) Yes
35. 35.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 4 hours?
36. 36.A library shelf has 42 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 42 : 48 (b) 8 : 7 (c) 7 : 8 (d) 8 : 9
37. 37.₹110 is shared between Gurpreet and Arjun in the ratio 3 : 8. How many rupees does Gurpreet get?
38. 38.A library shelf has 24 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 24 : 27 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
39. 39.₹2240 is shared between Arjun and Gurpreet in the ratio 7 : 9. How many rupees does Gurpreet get?
40. 40.A library shelf has 15 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 15 : 9 (c) 6 : 4 (d) 5 : 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets