Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 248 · 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.Are 14, 18, 21 and 27 in proportion? (a) Yes (b) No
2. 2.If 7 ice creams cost ₹35, how many rupees do 6 ice creams cost?
3. 3.If 3 notebooks cost ₹123, how many rupees do 2 notebooks cost?
4. 4.A box has 12 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 6 (b) 12 : 20 (c) 3 : 5 (d) 5 : 3
5. 5.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 6 hours?
6. 6.₹80 is shared between Kabir and Zoya in the ratio 3 : 5. How many rupees does Kabir get?
7. 7.A basket has 35 mangoes and 5 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 7 (b) 35 : 5 (c) 7 : 1 (d) 8 : 2
8. 8.Are 20, 32, 35 and 56 in proportion? (a) Yes (b) No
9. 9.3 : 4 = ? : 32
10. 10.₹450 is shared between Priya and Farhan in the ratio 2 : 7. How many rupees does Farhan get?
11. 11.A basket has 9 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 9 : 3
12. 12.Write the ratio 6 : 8 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 4 : 5 (d) 6 : 8
13. 13.Are 4, 8, 5 and 10 in proportion? (a) Yes (b) No
14. 14.If 3 bus tickets cost ₹108, how many rupees do 4 bus tickets cost?
15. 15.A class has 63 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 7 (b) 7 : 5 (c) 8 : 6 (d) 63 : 45
16. 16.Write the ratio 32 : 72 in its simplest form. (a) 5 : 10 (b) 32 : 72 (c) 4 : 9 (d) 9 : 4
17. 17.₹780 is shared between Manav and Kabir in the ratio 5 : 8. How many rupees does Manav get?
18. 18.7 : 9 = 35 : ?
19. 19.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
20. 20.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
21. 21.₹1080 is shared between Gurpreet and Pooja in the ratio 1 : 8. How many rupees does Pooja get?
22. 22.₹550 is shared between Meera and Ishaan in the ratio 1 : 4. How many rupees does Meera get?
23. 23.Are 6, 27, 4 and 21 in proportion? (a) Yes (b) No
24. 24.Write the ratio 72 : 8 in its simplest form. (a) 72 : 8 (b) 1 : 9 (c) 9 : 1 (d) 10 : 2
25. 25.4 : 9 = 8 : ?
26. 26.1 : 6 = ? : 12
27. 27.Write the ratio 35 : 30 in its simplest form. (a) 8 : 7 (b) 7 : 6 (c) 35 : 30 (d) 6 : 7
28. 28.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
29. 29.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
30. 30.If 4 ice creams cost ₹128, how many rupees do 5 ice creams cost?
31. 31.Write the ratio 2 : 4 in its simplest form. (a) 2 : 4 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3
32. 32.Write the ratio 42 : 54 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 8 : 10 (d) 42 : 54
33. 33.Are 4, 12, 3 and 9 in proportion? (a) Yes (b) No
34. 34.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
35. 35.Are 6, 27, 12 and 54 in proportion? (a) No (b) Yes
36. 36.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
37. 37.Write the ratio 3 : 15 in its simplest form. (a) 3 : 15 (b) 1 : 5 (c) 2 : 6 (d) 5 : 1
38. 38.Write the ratio 72 : 9 in its simplest form. (a) 8 : 1 (b) 72 : 9 (c) 9 : 2 (d) 1 : 8
39. 39.Are 3, 27, 7 and 63 in proportion? (a) Yes (b) No
40. 40.A library shelf has 15 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 4 (b) 15 : 9 (c) 3 : 5 (d) 5 : 3

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