Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 216 · 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 : 7 = ? : 14
2. 2.A box has 18 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 6 (b) 5 : 9 (c) 9 : 5 (d) 18 : 10
3. 3.3 : 4 = ? : 8
4. 4.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
5. 5.₹480 is shared between Dev and Sneha in the ratio 7 : 9. How many rupees does Dev get?
6. 6.Are 20, 45, 28 and 63 in proportion? (a) Yes (b) No
7. 7.Write the ratio 35 : 15 in its simplest form. (a) 35 : 15 (b) 3 : 7 (c) 8 : 4 (d) 7 : 3
8. 8.A basket has 28 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 4 (b) 8 : 5 (c) 28 : 16 (d) 4 : 7
9. 9.If 5 pens cost ₹260, how many rupees do 4 pens cost?
10. 10.If 6 mangoes cost ₹42, how many rupees do 2 mangoes cost?
11. 11.If 7 chocolates cost ₹413, how many rupees do 9 chocolates cost?
12. 12.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
13. 13.Write the ratio 40 : 32 in its simplest form. (a) 6 : 5 (b) 40 : 32 (c) 5 : 4 (d) 4 : 5
14. 14.1 : 2 = ? : 6
15. 15.₹110 is shared between Diya and Kavya in the ratio 2 : 9. How many rupees does Kavya get?
16. 16.Are 2, 6, 3 and 9 in proportion? (a) No (b) Yes
17. 17.Write the ratio 28 : 12 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 28 : 12 (d) 8 : 4
18. 18.A garden has 30 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 30 : 42 (d) 7 : 5
19. 19.1 : 6 = ? : 30
20. 20.A box has 36 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 7 (b) 7 : 9 (c) 10 : 8 (d) 36 : 28
21. 21.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
22. 22.₹450 is shared between Diya and Arjun in the ratio 1 : 4. How many rupees does Diya get?
23. 23.₹770 is shared between Dev and Diya in the ratio 2 : 9. How many rupees does Diya get?
24. 24.₹3000 is shared between Zoya and Kabir in the ratio 7 : 8. How many rupees does Zoya get?
25. 25.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 2 hours?
26. 26.Write the ratio 18 : 42 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 4 : 8 (d) 18 : 42
27. 27.₹780 is shared between Kavya and Tara in the ratio 1 : 5. How many rupees does Kavya get?
28. 28.4 : 5 = ? : 45
29. 29.8 : 9 = ? : 54
30. 30.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
31. 31.₹280 is shared between Ishaan and Sneha in the ratio 1 : 3. How many rupees does Ishaan get?
32. 32.Write the ratio 10 : 16 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 6 : 9 (d) 10 : 16
33. 33.Write the ratio 42 : 36 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 42 : 36 (d) 6 : 7
34. 34.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 4 hours?
35. 35.A box has 9 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 6 (b) 9 : 45 (c) 5 : 1 (d) 1 : 5
36. 36.If 6 bus tickets cost ₹336, how many rupees do 4 bus tickets cost?
37. 37.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
38. 38.If 5 ice creams cost ₹295, how many rupees do 7 ice creams cost?
39. 39.5 : 8 = ? : 72
40. 40.₹910 is shared between Kavya and Lakshmi in the ratio 1 : 6. How many rupees does Lakshmi get?

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