Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 324 · 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.₹130 is shared between Ishaan and Priya in the ratio 6 : 7. How many rupees does Priya get?
2. 2.If 5 pens cost ₹105, how many rupees do 12 pens cost?
3. 3.If 7 chocolates cost ₹301, how many rupees do 3 chocolates cost?
4. 4.A box has 20 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 20 : 16 (c) 6 : 5 (d) 5 : 4
5. 5.Write the ratio 28 : 20 in its simplest form. (a) 28 : 20 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
6. 6.If 9 notebooks cost ₹387, how many rupees do 3 notebooks cost?
7. 7.Write the ratio 40 : 56 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 40 : 56 (d) 6 : 8
8. 8.1 : 3 = 10 : ?
9. 9.Are 25, 45, 30 and 54 in proportion? (a) Yes (b) No
10. 10.A basket has 40 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 4 (b) 40 : 24 (c) 5 : 3 (d) 3 : 5
11. 11.₹490 is shared between Ananya and Meera in the ratio 2 : 5. How many rupees does Ananya get?
12. 12.Write the ratio 15 : 20 in its simplest form. (a) 3 : 4 (b) 15 : 20 (c) 4 : 5 (d) 4 : 3
13. 13.1 : 5 = 4 : ?
14. 14.If 7 bus tickets cost ₹84, how many rupees do 10 bus tickets cost?
15. 15.A box has 10 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 18 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
16. 16.If 4 mangoes cost ₹228, how many rupees do 8 mangoes cost?
17. 17.₹630 is shared between Nisha and Riya in the ratio 4 : 5. How many rupees does Riya get?
18. 18.A team has 15 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 15 : 6 (c) 6 : 3 (d) 5 : 2
19. 19.Are 6, 8, 18 and 25 in proportion? (a) No (b) Yes
20. 20.Write the ratio 14 : 4 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 14 : 4
21. 21.A basket has 15 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 5 (b) 15 : 21 (c) 5 : 7 (d) 6 : 8
22. 22.If 3 notebooks cost ₹96, how many rupees do 2 notebooks cost?
23. 23.Write the ratio 27 : 21 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 27 : 21 (d) 10 : 8
24. 24.A garden has 16 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 1 : 4 (d) 16 : 4
25. 25.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
26. 26.5 : 8 = 20 : ?
27. 27.If 9 notebooks cost ₹450, how many rupees do 3 notebooks cost?
28. 28.Write the ratio 21 : 35 in its simplest form. (a) 3 : 5 (b) 21 : 35 (c) 5 : 3 (d) 4 : 6
29. 29.₹280 is shared between Zoya and Ananya in the ratio 1 : 6. How many rupees does Zoya get?
30. 30.Are 4, 8, 8 and 17 in proportion? (a) No (b) Yes
31. 31.4 : 5 = 24 : ?
32. 32.Are 15, 18, 30 and 37 in proportion? (a) No (b) Yes
33. 33.If 4 notebooks cost ₹108, how many rupees do 5 notebooks cost?
34. 34.Write the ratio 25 : 45 in its simplest form. (a) 6 : 10 (b) 25 : 45 (c) 5 : 9 (d) 9 : 5
35. 35.₹70 is shared between Riya and Ananya in the ratio 2 : 5. How many rupees does Riya get?
36. 36.5 : 9 = ? : 72
37. 37.Write the ratio 49 : 28 in its simplest form. (a) 7 : 4 (b) 8 : 5 (c) 49 : 28 (d) 4 : 7
38. 38.Write the ratio 42 : 35 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 5 : 6 (d) 42 : 35
39. 39.A box has 15 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 2 (b) 4 : 3 (c) 15 : 10 (d) 2 : 3
40. 40.Are 3, 12, 5 and 20 in proportion? (a) Yes (b) No

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