Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 391 · 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.Write the ratio 63 : 72 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 8 : 7 (d) 63 : 72
2. 2.A garden has 56 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 56 : 72 (d) 8 : 10
3. 3.A box has 54 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 5 (b) 9 : 4 (c) 4 : 9 (d) 54 : 24
4. 4.A class has 2 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 4 : 1 (c) 1 : 4 (d) 2 : 8
5. 5.₹560 is shared between Manav and Dev in the ratio 3 : 5. How many rupees does Manav get?
6. 6.6 : 7 = ? : 63
7. 7.If 3 bus tickets cost ₹114, how many rupees do 9 bus tickets cost?
8. 8.Write the ratio 6 : 8 in its simplest form. (a) 6 : 8 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
9. 9.Write the ratio 2 : 18 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 2 : 18 (d) 2 : 10
10. 10.Write the ratio 49 : 56 in its simplest form. (a) 49 : 56 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
11. 11.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 4 hours?
12. 12.If 5 chocolates cost ₹55, how many rupees do 2 chocolates cost?
13. 13.If 4 pens cost ₹184, how many rupees do 11 pens cost?
14. 14.6 : 7 = ? : 28
15. 15.Are 3, 15, 2 and 11 in proportion? (a) Yes (b) No
16. 16.₹70 is shared between Farhan and Dev in the ratio 3 : 4. How many rupees does Dev get?
17. 17.3 : 4 = ? : 20
18. 18.If 6 chocolates cost ₹60, how many rupees do 4 chocolates cost?
19. 19.Are 24, 27, 48 and 57 in proportion? (a) No (b) Yes
20. 20.5 : 9 = ? : 90
21. 21.If 3 chocolates cost ₹126, how many rupees do 7 chocolates cost?
22. 22.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
23. 23.If 6 ice creams cost ₹114, how many rupees do 5 ice creams cost?
24. 24.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
25. 25.₹1560 is shared between Aditya and Lakshmi in the ratio 4 : 9. How many rupees does Aditya get?
26. 26.If 2 pens cost ₹16, how many rupees do 3 pens cost?
27. 27.A library shelf has 25 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 25 : 20 (d) 6 : 5
28. 28.Write the ratio 4 : 20 in its simplest form. (a) 2 : 6 (b) 4 : 20 (c) 5 : 1 (d) 1 : 5
29. 29.1 : 2 = 2 : ?
30. 30.1 : 3 = 4 : ?
31. 31.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
32. 32.₹160 is shared between Isha and Rohan in the ratio 1 : 7. How many rupees does Isha get?
33. 33.If 2 ice creams cost ₹14, how many rupees do 8 ice creams cost?
34. 34.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 8 hours?
35. 35.8 : 9 = ? : 36
36. 36.6 : 7 = 30 : ?
37. 37.5 : 9 = ? : 18
38. 38.A garden has 2 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 2 : 8 (c) 1 : 4 (d) 2 : 5
39. 39.₹50 is shared between Vivaan and Manav in the ratio 2 : 3. How many rupees does Manav get?
40. 40.If 3 mangoes cost ₹177, how many rupees do 12 mangoes cost?

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