Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 172 · 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 = ? : 32
2. 2.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 2 hours?
3. 3.A garden has 5 rose plants and 25 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 25 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
4. 4.2 : 7 = 18 : ?
5. 5.6 : 7 = ? : 21
6. 6.Are 25, 40, 35 and 59 in proportion? (a) Yes (b) No
7. 7.₹800 is shared between Rohan and Saanvi in the ratio 3 : 5. How many rupees does Rohan get?
8. 8.7 : 8 = ? : 24
9. 9.₹880 is shared between Tara and Riya in the ratio 5 : 6. How many rupees does Riya get?
10. 10.A basket has 7 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 4 (b) 1 : 3 (c) 7 : 21 (d) 3 : 1
11. 11.5 : 6 = ? : 54
12. 12.1 : 4 = ? : 16
13. 13.A team has 24 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 7 : 4 (c) 4 : 7 (d) 24 : 42
14. 14.Are 10, 12, 35 and 43 in proportion? (a) No (b) Yes
15. 15.2 : 5 = 12 : ?
16. 16.If 3 notebooks cost ₹69, how many rupees do 11 notebooks cost?
17. 17.Are 6, 12, 9 and 21 in proportion? (a) Yes (b) No
18. 18.2 : 7 = ? : 14
19. 19.Write the ratio 5 : 40 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 5 : 40
20. 20.Are 42, 48, 21 and 24 in proportion? (a) Yes (b) No
21. 21.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
22. 22.If 9 notebooks cost ₹99, how many rupees do 12 notebooks cost?
23. 23.Write the ratio 8 : 18 in its simplest form. (a) 4 : 9 (b) 8 : 18 (c) 5 : 10 (d) 9 : 4
24. 24.If 3 chocolates cost ₹36, how many rupees do 2 chocolates cost?
25. 25.A garden has 54 rose plants and 63 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 54 : 63 (b) 7 : 6 (c) 7 : 8 (d) 6 : 7
26. 26.₹1020 is shared between Aarav and Meera in the ratio 8 : 9. How many rupees does Aarav get?
27. 27.Are 10, 15, 8 and 12 in proportion? (a) Yes (b) No
28. 28.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
29. 29.A train goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
30. 30.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 4 hours?
31. 31.Write the ratio 40 : 72 in its simplest form. (a) 40 : 72 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
32. 32.₹1190 is shared between Kabir and Arjun in the ratio 8 : 9. How many rupees does Arjun get?
33. 33.Write the ratio 4 : 24 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 2 : 7 (d) 4 : 24
34. 34.₹350 is shared between Gurpreet and Dev in the ratio 2 : 3. How many rupees does Gurpreet get?
35. 35.If 9 pens cost ₹27, how many rupees do 5 pens cost?
36. 36.7 : 9 = ? : 45
37. 37.₹770 is shared between Aarav and Arjun in the ratio 2 : 5. How many rupees does Aarav get?
38. 38.1 : 8 = 8 : ?
39. 39.Write the ratio 63 : 35 in its simplest form. (a) 63 : 35 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
40. 40.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?

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