Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 127 · 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.₹1530 is shared between Joseph and Saanvi in the ratio 4 : 5. How many rupees does Joseph get?
2. 2.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 1 hour?
3. 3.If 5 pens cost ₹255, how many rupees do 3 pens cost?
4. 4.If 8 pens cost ₹360, how many rupees do 10 pens cost?
5. 5.Write the ratio 14 : 7 in its simplest form. (a) 14 : 7 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2
6. 6.Are 3, 9, 6 and 18 in proportion? (a) Yes (b) No
7. 7.5 : 7 = ? : 49
8. 8.5 : 6 = ? : 54
9. 9.1 : 2 = 10 : ?
10. 10.If 3 chocolates cost ₹96, how many rupees do 4 chocolates cost?
11. 11.A library shelf has 12 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 3 (b) 12 : 16 (c) 4 : 5 (d) 3 : 4
12. 12.A library shelf has 12 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 12 : 21 (d) 5 : 8
13. 13.If 9 bus tickets cost ₹153, how many rupees do 5 bus tickets cost?
14. 14.If 4 mangoes cost ₹44, how many rupees do 2 mangoes cost?
15. 15.5 : 6 = 20 : ?
16. 16.Are 24, 42, 36 and 66 in proportion? (a) Yes (b) No
17. 17.Write the ratio 9 : 15 in its simplest form. (a) 5 : 3 (b) 4 : 6 (c) 3 : 5 (d) 9 : 15
18. 18.1 : 4 = 4 : ?
19. 19.If 8 mangoes cost ₹312, how many rupees do 12 mangoes cost?
20. 20.₹360 is shared between Arjun and Nisha in the ratio 1 : 3. How many rupees does Arjun get?
21. 21.If 5 mangoes cost ₹215, how many rupees do 2 mangoes cost?
22. 22.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 3 hours?
23. 23.If 3 bus tickets cost ₹15, how many rupees do 7 bus tickets cost?
24. 24.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
25. 25.Write the ratio 12 : 8 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 12 : 8 (d) 3 : 2
26. 26.Are 10, 12, 40 and 48 in proportion? (a) No (b) Yes
27. 27.3 : 7 = ? : 56
28. 28.₹1000 is shared between Tara and Farhan in the ratio 2 : 3. How many rupees does Farhan get?
29. 29.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
30. 30.₹360 is shared between Zoya and Farhan in the ratio 5 : 7. How many rupees does Farhan get?
31. 31.A box has 63 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 63 : 9 (b) 7 : 1 (c) 8 : 2 (d) 1 : 7
32. 32.Write the ratio 36 : 42 in its simplest form. (a) 7 : 8 (b) 7 : 6 (c) 36 : 42 (d) 6 : 7
33. 33.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
34. 34.5 : 7 = 30 : ?
35. 35.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
36. 36.₹520 is shared between Arjun and Isha in the ratio 5 : 8. How many rupees does Arjun get?
37. 37.A class has 10 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 8 (b) 8 : 5 (c) 10 : 16 (d) 6 : 9
38. 38.Write the ratio 6 : 21 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 3 : 8 (d) 6 : 21
39. 39.Write the ratio 16 : 4 in its simplest form. (a) 5 : 2 (b) 1 : 4 (c) 16 : 4 (d) 4 : 1
40. 40.A basket has 72 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 5 (b) 72 : 32 (c) 4 : 9 (d) 9 : 4

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