Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 1 · 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.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
2. 2.If 9 bus tickets cost ₹153, how many rupees do 5 bus tickets cost?
3. 3.If 2 bus tickets cost ₹18, how many rupees do 7 bus tickets cost?
4. 4.A garden has 16 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 10 (b) 8 : 9 (c) 16 : 18 (d) 9 : 8
5. 5.Write the ratio 4 : 24 in its simplest form. (a) 2 : 7 (b) 4 : 24 (c) 1 : 6 (d) 6 : 1
6. 6.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
7. 7.If 8 mangoes cost ₹216, how many rupees do 9 mangoes cost?
8. 8.1 : 2 = 6 : ?
9. 9.₹1350 is shared between Gurpreet and Saanvi in the ratio 1 : 8. How many rupees does Saanvi get?
10. 10.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
11. 11.5 : 9 = ? : 18
12. 12.₹490 is shared between Isha and Pooja in the ratio 3 : 4. How many rupees does Pooja get?
13. 13.Write the ratio 42 : 30 in its simplest form. (a) 42 : 30 (b) 7 : 5 (c) 5 : 7 (d) 8 : 6
14. 14.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
15. 15.Are 20, 45, 8 and 18 in proportion? (a) No (b) Yes
16. 16.Write the ratio 16 : 14 in its simplest form. (a) 7 : 8 (b) 8 : 7 (c) 9 : 8 (d) 16 : 14
17. 17.1 : 5 = ? : 35
18. 18.Write the ratio 24 : 27 in its simplest form. (a) 8 : 9 (b) 9 : 10 (c) 24 : 27 (d) 9 : 8
19. 19.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
20. 20.If 5 chocolates cost ₹25, how many rupees do 8 chocolates cost?
21. 21.2 : 3 = ? : 27
22. 22.Are 3, 12, 4 and 18 in proportion? (a) Yes (b) No
23. 23.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 2 hours?
24. 24.4 : 7 = ? : 49
25. 25.3 : 8 = ? : 24
26. 26.A basket has 63 mangoes and 36 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 5 (b) 63 : 36 (c) 7 : 4 (d) 4 : 7
27. 27.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 7 hours?
28. 28.2 : 9 = ? : 72
29. 29.A garden has 49 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 49 : 56 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
30. 30.₹520 is shared between Aarav and Lakshmi in the ratio 5 : 8. How many rupees does Aarav get?
31. 31.Write the ratio 15 : 10 in its simplest form. (a) 3 : 2 (b) 15 : 10 (c) 2 : 3 (d) 4 : 3
32. 32.₹90 is shared between Joseph and Tara in the ratio 4 : 5. How many rupees does Joseph get?
33. 33.If 7 ice creams cost ₹224, how many rupees do 4 ice creams cost?
34. 34.Write the ratio 9 : 15 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 4 : 6 (d) 9 : 15
35. 35.If 7 chocolates cost ₹364, how many rupees do 4 chocolates cost?
36. 36.Are 42, 54, 35 and 45 in proportion? (a) No (b) Yes
37. 37.1 : 2 = ? : 16
38. 38.If 4 notebooks cost ₹208, how many rupees do 9 notebooks cost?
39. 39.Write the ratio 30 : 25 in its simplest form. (a) 6 : 5 (b) 5 : 6 (c) 30 : 25 (d) 7 : 6
40. 40.Write the ratio 40 : 16 in its simplest form. (a) 2 : 5 (b) 40 : 16 (c) 5 : 2 (d) 6 : 3

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