Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 335 · 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. 1.3 : 4 = 12 : ?
2. 2.Write the ratio 18 : 16 in its simplest form. (a) 18 : 16 (b) 9 : 8 (c) 10 : 9 (d) 8 : 9
3. 3.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 7 hours?
4. 4.2 : 7 = ? : 70
5. 5.7 : 8 = ? : 80
6. 6.If 3 pens cost ₹135, how many rupees do 12 pens cost?
7. 7.₹360 is shared between Kabir and Lakshmi in the ratio 1 : 2. How many rupees does Kabir get?
8. 8.A box has 16 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 16 : 6 (c) 9 : 4 (d) 3 : 8
9. 9.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
10. 10.A box has 6 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 1 (b) 2 : 8 (c) 1 : 7 (d) 6 : 42
11. 11.Are 15, 35, 12 and 31 in proportion? (a) No (b) Yes
12. 12.Write the ratio 5 : 15 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 2 : 4 (d) 5 : 15
13. 13.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
14. 14.1 : 8 = 2 : ?
15. 15.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 4 hours?
16. 16.₹1210 is shared between Nisha and Diya in the ratio 5 : 6. How many rupees does Diya get?
17. 17.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
18. 18.1 : 6 = ? : 30
19. 19.Write the ratio 27 : 18 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 27 : 18
20. 20.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 5 hours?
21. 21.If 2 bus tickets cost ₹36, how many rupees do 8 bus tickets cost?
22. 22.If 9 mangoes cost ₹495, how many rupees do 10 mangoes cost?
23. 23.If 9 chocolates cost ₹144, how many rupees do 7 chocolates cost?
24. 24.A garden has 20 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 4 (b) 6 : 5 (c) 20 : 16 (d) 4 : 5
25. 25.Write the ratio 49 : 21 in its simplest form. (a) 8 : 4 (b) 7 : 3 (c) 49 : 21 (d) 3 : 7
26. 26.Write the ratio 15 : 20 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 15 : 20
27. 27.4 : 7 = ? : 35
28. 28.A team has 21 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 7 (b) 8 : 6 (c) 21 : 15 (d) 7 : 5
29. 29.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
30. 30.A library shelf has 12 storybooks and 2 science books. What is the ratio of storybooks to science books in its simplest form? (a) 12 : 2 (b) 7 : 2 (c) 1 : 6 (d) 6 : 1
31. 31.1 : 6 = 2 : ?
32. 32.₹1330 is shared between Lakshmi and Aditya in the ratio 3 : 4. How many rupees does Lakshmi get?
33. 33.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 4 hours?
34. 34.If 7 notebooks cost ₹98, how many rupees do 3 notebooks cost?
35. 35.Write the ratio 20 : 8 in its simplest form. (a) 2 : 5 (b) 20 : 8 (c) 5 : 2 (d) 6 : 3
36. 36.2 : 3 = ? : 30
37. 37.A garden has 4 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 20 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
38. 38.₹280 is shared between Tara and Dev in the ratio 1 : 3. How many rupees does Tara get?
39. 39.If 4 ice creams cost ₹48, how many rupees do 3 ice creams cost?
40. 40.Are 24, 27, 56 and 63 in proportion? (a) Yes (b) No

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