Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 14 · 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. 1.1 : 5 = 8 : ?
2. 2.Write the ratio 42 : 49 in its simplest form. (a) 42 : 49 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
3. 3.₹700 is shared between Rahul and Karan in the ratio 1 : 6. How many rupees does Karan get?
4. 4.A team has 6 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 12 (b) 1 : 2 (c) 2 : 3 (d) 2 : 1
5. 5.Write the ratio 56 : 24 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 56 : 24 (d) 8 : 4
6. 6.Write the ratio 16 : 2 in its simplest form. (a) 16 : 2 (b) 1 : 8 (c) 9 : 2 (d) 8 : 1
7. 7.If 3 mangoes cost ₹102, how many rupees do 4 mangoes cost?
8. 8.Are 18, 48, 15 and 42 in proportion? (a) No (b) Yes
9. 9.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 6 hours?
10. 10.Are 2, 12, 3 and 18 in proportion? (a) No (b) Yes
11. 11.A garden has 5 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 30 (b) 6 : 1 (c) 2 : 7 (d) 1 : 6
12. 12.Are 15, 27, 20 and 39 in proportion? (a) No (b) Yes
13. 13.₹1950 is shared between Sneha and Diya in the ratio 7 : 8. How many rupees does Diya get?
14. 14.7 : 9 = ? : 81
15. 15.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
16. 16.Write the ratio 20 : 15 in its simplest form. (a) 4 : 3 (b) 20 : 15 (c) 3 : 4 (d) 5 : 4
17. 17.₹450 is shared between Arjun and Kavya in the ratio 4 : 5. How many rupees does Kavya get?
18. 18.Write the ratio 56 : 48 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 6 : 7 (d) 56 : 48
19. 19.Are 5, 35, 4 and 29 in proportion? (a) Yes (b) No
20. 20.A box has 64 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 64 : 56 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
21. 21.If 2 notebooks cost ₹42, how many rupees do 9 notebooks cost?
22. 22.Are 24, 27, 72 and 82 in proportion? (a) No (b) Yes
23. 23.1 : 5 = 9 : ?
24. 24.2 : 3 = 14 : ?
25. 25.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
26. 26.A box has 42 red pens and 30 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 6 (b) 7 : 5 (c) 5 : 7 (d) 42 : 30
27. 27.2 : 5 = 14 : ?
28. 28.Are 5, 40, 4 and 32 in proportion? (a) Yes (b) No
29. 29.5 : 6 = 15 : ?
30. 30.₹240 is shared between Ishaan and Tara in the ratio 1 : 5. How many rupees does Ishaan get?
31. 31.If 7 mangoes cost ₹210, how many rupees do 12 mangoes cost?
32. 32.2 : 5 = ? : 50
33. 33.1 : 2 = ? : 12
34. 34.5 : 6 = ? : 36
35. 35.₹480 is shared between Dev and Kavya in the ratio 1 : 5. How many rupees does Dev get?
36. 36.If 2 chocolates cost ₹76, how many rupees do 4 chocolates cost?
37. 37.If 5 pens cost ₹185, how many rupees do 8 pens cost?
38. 38.₹960 is shared between Arjun and Meera in the ratio 1 : 7. How many rupees does Arjun get?
39. 39.₹510 is shared between Vivaan and Priya in the ratio 8 : 9. How many rupees does Vivaan get?
40. 40.Write the ratio 27 : 15 in its simplest form. (a) 9 : 5 (b) 5 : 9 (c) 27 : 15 (d) 10 : 6

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