Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 285 · 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 class has 45 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 27 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
2. 2.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
3. 3.A basket has 6 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 8 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
4. 4.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
5. 5.Are 14, 18, 21 and 29 in proportion? (a) No (b) Yes
6. 6.Write the ratio 40 : 8 in its simplest form. (a) 6 : 2 (b) 5 : 1 (c) 1 : 5 (d) 40 : 8
7. 7.A library shelf has 45 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 45 : 63 (b) 6 : 8 (c) 5 : 7 (d) 7 : 5
8. 8.Write the ratio 35 : 21 in its simplest form. (a) 6 : 4 (b) 35 : 21 (c) 3 : 5 (d) 5 : 3
9. 9.Are 25, 40, 45 and 75 in proportion? (a) No (b) Yes
10. 10.Are 5, 25, 6 and 30 in proportion? (a) No (b) Yes
11. 11.₹600 is shared between Isha and Dev in the ratio 7 : 8. How many rupees does Dev get?
12. 12.A library shelf has 21 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 5 (b) 5 : 7 (c) 8 : 6 (d) 21 : 15
13. 13.1 : 9 = 4 : ?
14. 14.A library shelf has 36 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 36 : 42
15. 15.If 2 notebooks cost ₹20, how many rupees do 4 notebooks cost?
16. 16.1 : 3 = ? : 18
17. 17.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
18. 18.3 : 8 = 21 : ?
19. 19.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 5 hours?
20. 20.If 4 mangoes cost ₹160, how many rupees do 6 mangoes cost?
21. 21.₹520 is shared between Zoya and Lakshmi in the ratio 5 : 8. How many rupees does Zoya get?
22. 22.Write the ratio 12 : 16 in its simplest form. (a) 4 : 3 (b) 12 : 16 (c) 3 : 4 (d) 4 : 5
23. 23.5 : 6 = 35 : ?
24. 24.Are 6, 54, 2 and 21 in proportion? (a) Yes (b) No
25. 25.Write the ratio 28 : 8 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 28 : 8
26. 26.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
27. 27.₹50 is shared between Dev and Kabir in the ratio 2 : 3. How many rupees does Dev get?
28. 28.If 2 chocolates cost ₹106, how many rupees do 11 chocolates cost?
29. 29.Write the ratio 8 : 28 in its simplest form. (a) 8 : 28 (b) 3 : 8 (c) 7 : 2 (d) 2 : 7
30. 30.If 7 ice creams cost ₹294, how many rupees do 3 ice creams cost?
31. 31.If 8 pens cost ₹88, how many rupees do 6 pens cost?
32. 32.Are 35, 45, 56 and 75 in proportion? (a) Yes (b) No
33. 33.₹270 is shared between Arjun and Joseph in the ratio 2 : 7. How many rupees does Joseph get?
34. 34.Are 20, 35, 36 and 63 in proportion? (a) Yes (b) No
35. 35.Write the ratio 3 : 6 in its simplest form. (a) 2 : 1 (b) 2 : 3 (c) 1 : 2 (d) 3 : 6
36. 36.Are 20, 35, 36 and 64 in proportion? (a) No (b) Yes
37. 37.4 : 7 = ? : 14
38. 38.₹770 is shared between Tara and Saanvi in the ratio 3 : 4. How many rupees does Saanvi get?
39. 39.A garden has 18 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 18 : 45 (d) 3 : 6
40. 40.Are 6, 30, 9 and 48 in proportion? (a) No (b) Yes

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