Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 315 · 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.₹1280 is shared between Meera and Rohan in the ratio 7 : 9. How many rupees does Meera get?
2. 2.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 7 hours?
3. 3.Are 5, 10, 3 and 8 in proportion? (a) Yes (b) No
4. 4.Write the ratio 8 : 36 in its simplest form. (a) 8 : 36 (b) 9 : 2 (c) 3 : 10 (d) 2 : 9
5. 5.₹280 is shared between Aarav and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
6. 6.3 : 8 = 30 : ?
7. 7.3 : 8 = 6 : ?
8. 8.Write the ratio 15 : 35 in its simplest form. (a) 4 : 8 (b) 3 : 7 (c) 7 : 3 (d) 15 : 35
9. 9.Write the ratio 10 : 18 in its simplest form. (a) 9 : 5 (b) 6 : 10 (c) 10 : 18 (d) 5 : 9
10. 10.₹300 is shared between Dev and Priya in the ratio 3 : 7. How many rupees does Priya get?
11. 11.A library shelf has 9 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 9 : 45 (d) 1 : 5
12. 12.2 : 9 = ? : 72
13. 13.Write the ratio 56 : 72 in its simplest form. (a) 7 : 9 (b) 56 : 72 (c) 8 : 10 (d) 9 : 7
14. 14.₹60 is shared between Dev and Gurpreet in the ratio 1 : 5. How many rupees does Dev get?
15. 15.1 : 5 = ? : 25
16. 16.If 3 pens cost ₹108, how many rupees do 6 pens cost?
17. 17.Are 18, 21, 54 and 64 in proportion? (a) No (b) Yes
18. 18.If 2 pens cost ₹80, how many rupees do 11 pens cost?
19. 19.If 9 chocolates cost ₹54, how many rupees do 8 chocolates cost?
20. 20.Are 15, 21, 30 and 42 in proportion? (a) No (b) Yes
21. 21.7 : 8 = 56 : ?
22. 22.₹700 is shared between Kabir and Dev in the ratio 5 : 9. How many rupees does Kabir get?
23. 23.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
24. 24.If 8 ice creams cost ₹328, how many rupees do 11 ice creams cost?
25. 25.If 8 pens cost ₹56, how many rupees do 10 pens cost?
26. 26.If 3 mangoes cost ₹180, how many rupees do 7 mangoes cost?
27. 27.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
28. 28.Write the ratio 9 : 6 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 9 : 6 (d) 2 : 3
29. 29.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 6 hours?
30. 30.Are 35, 40, 56 and 65 in proportion? (a) Yes (b) No
31. 31.If 3 mangoes cost ₹177, how many rupees do 6 mangoes cost?
32. 32.Are 10, 15, 12 and 18 in proportion? (a) No (b) Yes
33. 33.Are 28, 32, 21 and 25 in proportion? (a) Yes (b) No
34. 34.If 2 pens cost ₹12, how many rupees do 8 pens cost?
35. 35.₹320 is shared between Dev and Isha in the ratio 1 : 3. How many rupees does Dev get?
36. 36.A scooter goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
37. 37.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
38. 38.If 6 pens cost ₹312, how many rupees do 5 pens cost?
39. 39.Write the ratio 20 : 24 in its simplest form. (a) 20 : 24 (b) 5 : 6 (c) 6 : 5 (d) 6 : 7
40. 40.A garden has 8 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 1 (b) 2 : 10 (c) 8 : 72 (d) 1 : 9

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