Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 330 · 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.If 2 pens cost ₹104, how many rupees do 12 pens cost?
2. 2.Are 8, 14, 36 and 63 in proportion? (a) No (b) Yes
3. 3.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
4. 4.6 : 7 = 42 : ?
5. 5.If 4 bus tickets cost ₹56, how many rupees do 2 bus tickets cost?
6. 6.4 : 7 = 24 : ?
7. 7.7 : 8 = 70 : ?
8. 8.8 : 9 = ? : 45
9. 9.Write the ratio 9 : 18 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 1 : 2 (d) 9 : 18
10. 10.If 3 ice creams cost ₹21, how many rupees do 12 ice creams cost?
11. 11.If 5 chocolates cost ₹125, how many rupees do 3 chocolates cost?
12. 12.A basket has 30 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 30 : 54 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
13. 13.1 : 6 = 8 : ?
14. 14.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
15. 15.A box has 32 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 32 : 4
16. 16.Are 10, 25, 18 and 45 in proportion? (a) No (b) Yes
17. 17.Write the ratio 3 : 15 in its simplest form. (a) 3 : 15 (b) 5 : 1 (c) 1 : 5 (d) 2 : 6
18. 18.If 9 chocolates cost ₹243, how many rupees do 3 chocolates cost?
19. 19.A basket has 32 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 32 : 8 (d) 5 : 2
20. 20.1 : 5 = 7 : ?
21. 21.Are 15, 18, 35 and 42 in proportion? (a) No (b) Yes
22. 22.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 2 hours?
23. 23.Are 24, 30, 8 and 12 in proportion? (a) Yes (b) No
24. 24.If 3 mangoes cost ₹18, how many rupees do 7 mangoes cost?
25. 25.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
26. 26.₹210 is shared between Tara and Zoya in the ratio 2 : 5. How many rupees does Tara get?
27. 27.5 : 8 = 50 : ?
28. 28.Write the ratio 2 : 8 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 2 : 8 (d) 2 : 5
29. 29.A library shelf has 45 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 8 (b) 45 : 40 (c) 8 : 9 (d) 10 : 9
30. 30.₹60 is shared between Gurpreet and Riya in the ratio 1 : 2. How many rupees does Gurpreet get?
31. 31.A garden has 36 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 36 : 6
32. 32.₹200 is shared between Aarav and Farhan in the ratio 2 : 3. How many rupees does Farhan get?
33. 33.5 : 9 = 50 : ?
34. 34.A scooter goes 150 km in 3 hours. At the same speed, how many km does it go in 1 hour?
35. 35.6 : 7 = ? : 56
36. 36.A library shelf has 42 storybooks and 49 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 7 (b) 42 : 49 (c) 7 : 6 (d) 7 : 8
37. 37.Write the ratio 32 : 56 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 32 : 56 (d) 5 : 8
38. 38.If 2 chocolates cost ₹114, how many rupees do 4 chocolates cost?
39. 39.₹110 is shared between Riya and Pooja in the ratio 3 : 8. How many rupees does Pooja get?
40. 40.₹480 is shared between Rohan and Ishaan in the ratio 7 : 9. How many rupees does Ishaan get?

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