Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 98 · 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 basket has 40 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 3 (b) 2 : 5 (c) 5 : 2 (d) 40 : 16
2. 2.₹600 is shared between Rohan and Kavya in the ratio 3 : 7. How many rupees does Kavya get?
3. 3.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
4. 4.₹160 is shared between Rohan and Riya in the ratio 1 : 7. How many rupees does Riya get?
5. 5.2 : 9 = ? : 36
6. 6.5 : 8 = ? : 32
7. 7.If 8 ice creams cost ₹80, how many rupees do 12 ice creams cost?
8. 8.₹1350 is shared between Meera and Ishaan in the ratio 7 : 8. How many rupees does Meera get?
9. 9.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
10. 10.Are 9, 15, 24 and 42 in proportion? (a) No (b) Yes
11. 11.7 : 8 = ? : 48
12. 12.Are 6, 10, 24 and 40 in proportion? (a) Yes (b) No
13. 13.A library shelf has 40 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 10 (b) 40 : 72 (c) 5 : 9 (d) 9 : 5
14. 14.If 8 pens cost ₹384, how many rupees do 5 pens cost?
15. 15.Write the ratio 20 : 4 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 20 : 4 (d) 5 : 1
16. 16.2 : 9 = ? : 54
17. 17.Are 18, 24, 9 and 14 in proportion? (a) Yes (b) No
18. 18.Are 15, 25, 21 and 36 in proportion? (a) No (b) Yes
19. 19.₹100 is shared between Pooja and Isha in the ratio 1 : 4. How many rupees does Pooja get?
20. 20.Write the ratio 49 : 28 in its simplest form. (a) 49 : 28 (b) 4 : 7 (c) 7 : 4 (d) 8 : 5
21. 21.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
22. 22.8 : 9 = ? : 81
23. 23.₹450 is shared between Rohan and Lakshmi in the ratio 4 : 5. How many rupees does Rohan get?
24. 24.If 9 bus tickets cost ₹108, how many rupees do 4 bus tickets cost?
25. 25.Write the ratio 12 : 9 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 12 : 9 (d) 4 : 3
26. 26.Are 2, 8, 3 and 12 in proportion? (a) No (b) Yes
27. 27.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
28. 28.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 3 hours?
29. 29.₹1620 is shared between Priya and Sneha in the ratio 4 : 5. How many rupees does Priya get?
30. 30.If 2 ice creams cost ₹88, how many rupees do 11 ice creams cost?
31. 31.1 : 6 = 7 : ?
32. 32.5 : 8 = 25 : ?
33. 33.₹640 is shared between Lakshmi and Farhan in the ratio 3 : 5. How many rupees does Lakshmi get?
34. 34.Are 15, 35, 9 and 24 in proportion? (a) Yes (b) No
35. 35.₹2340 is shared between Joseph and Kabir in the ratio 4 : 9. How many rupees does Kabir get?
36. 36.Are 25, 30, 15 and 19 in proportion? (a) Yes (b) No
37. 37.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 3 : 6
38. 38.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 3 hours?
39. 39.₹240 is shared between Joseph and Dev in the ratio 3 : 5. How many rupees does Joseph get?
40. 40.A garden has 30 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 30 : 54 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9

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