Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 307 · 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 5 chocolates cost ₹270, how many rupees do 12 chocolates cost?
2. 2.Are 4, 24, 7 and 43 in proportion? (a) Yes (b) No
3. 3.Are 12, 14, 30 and 37 in proportion? (a) Yes (b) No
4. 4.A garden has 20 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 7 (b) 6 : 5 (c) 20 : 24 (d) 5 : 6
5. 5.2 : 3 = ? : 24
6. 6.If 3 notebooks cost ₹96, how many rupees do 9 notebooks cost?
7. 7.Are 10, 15, 6 and 10 in proportion? (a) No (b) Yes
8. 8.If 7 pens cost ₹105, how many rupees do 6 pens cost?
9. 9.₹360 is shared between Nisha and Gurpreet in the ratio 1 : 2. How many rupees does Gurpreet get?
10. 10.₹1050 is shared between Rohan and Dev in the ratio 2 : 5. How many rupees does Dev get?
11. 11.₹440 is shared between Gurpreet and Rahul in the ratio 3 : 8. How many rupees does Gurpreet get?
12. 12.If 4 pens cost ₹40, how many rupees do 2 pens cost?
13. 13.Are 28, 36, 14 and 20 in proportion? (a) No (b) Yes
14. 14.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 3 hours?
15. 15.A team has 81 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 9 (b) 81 : 9 (c) 9 : 1 (d) 10 : 2
16. 16.Write the ratio 12 : 6 in its simplest form. (a) 12 : 6 (b) 1 : 2 (c) 3 : 2 (d) 2 : 1
17. 17.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 4 : 5 (c) 5 : 4 (d) 5 : 6
18. 18.₹1540 is shared between Arjun and Pooja in the ratio 5 : 6. How many rupees does Arjun get?
19. 19.If 2 mangoes cost ₹48, how many rupees do 8 mangoes cost?
20. 20.₹540 is shared between Zoya and Manav in the ratio 2 : 7. How many rupees does Zoya get?
21. 21.Are 18, 42, 9 and 24 in proportion? (a) Yes (b) No
22. 22.3 : 8 = 9 : ?
23. 23.2 : 3 = ? : 21
24. 24.1 : 5 = ? : 25
25. 25.₹1920 is shared between Meera and Lakshmi in the ratio 7 : 9. How many rupees does Meera get?
26. 26.7 : 9 = ? : 90
27. 27.If 9 pens cost ₹261, how many rupees do 4 pens cost?
28. 28.1 : 3 = ? : 15
29. 29.Are 4, 6, 12 and 19 in proportion? (a) No (b) Yes
30. 30.₹1350 is shared between Tara and Saanvi in the ratio 2 : 7. How many rupees does Saanvi get?
31. 31.Write the ratio 25 : 35 in its simplest form. (a) 25 : 35 (b) 6 : 8 (c) 7 : 5 (d) 5 : 7
32. 32.₹1020 is shared between Aarav and Karan in the ratio 8 : 9. How many rupees does Karan get?
33. 33.A garden has 7 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 7 : 35 (d) 2 : 6
34. 34.8 : 9 = ? : 36
35. 35.₹2380 is shared between Zoya and Manav in the ratio 5 : 9. How many rupees does Manav get?
36. 36.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
37. 37.Write the ratio 5 : 45 in its simplest form. (a) 2 : 10 (b) 1 : 9 (c) 9 : 1 (d) 5 : 45
38. 38.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 4 hours?
39. 39.If 5 mangoes cost ₹105, how many rupees do 3 mangoes cost?
40. 40.Write the ratio 45 : 63 in its simplest form. (a) 5 : 7 (b) 45 : 63 (c) 7 : 5 (d) 6 : 8

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