Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 404 · 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.₹180 is shared between Farhan and Joseph in the ratio 1 : 8. How many rupees does Joseph get?
2. 2.7 : 9 = 49 : ?
3. 3.If 4 bus tickets cost ₹40, how many rupees do 12 bus tickets cost?
4. 4.₹990 is shared between Farhan and Ananya in the ratio 4 : 5. How many rupees does Ananya get?
5. 5.A box has 27 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 27 : 36 (c) 4 : 3 (d) 3 : 4
6. 6.If 3 chocolates cost ₹36, how many rupees do 5 chocolates cost?
7. 7.5 : 7 = 40 : ?
8. 8.₹900 is shared between Gurpreet and Ishaan in the ratio 7 : 8. How many rupees does Ishaan get?
9. 9.Write the ratio 49 : 7 in its simplest form. (a) 7 : 1 (b) 49 : 7 (c) 8 : 2 (d) 1 : 7
10. 10.₹1020 is shared between Riya and Karan in the ratio 8 : 9. How many rupees does Riya get?
11. 11.Write the ratio 6 : 15 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 6 : 15 (d) 2 : 5
12. 12.1 : 7 = ? : 42
13. 13.₹1200 is shared between Kabir and Vivaan in the ratio 3 : 7. How many rupees does Vivaan get?
14. 14.A class has 7 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 63 (b) 2 : 10 (c) 9 : 1 (d) 1 : 9
15. 15.4 : 7 = 12 : ?
16. 16.Write the ratio 45 : 63 in its simplest form. (a) 6 : 8 (b) 45 : 63 (c) 5 : 7 (d) 7 : 5
17. 17.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 3 hours?
18. 18.1 : 8 = 9 : ?
19. 19.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 6 hours?
20. 20.If 6 bus tickets cost ₹198, how many rupees do 7 bus tickets cost?
21. 21.A garden has 24 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 24 : 8 (c) 3 : 1 (d) 4 : 2
22. 22.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 14 : 63
23. 23.If 2 chocolates cost ₹58, how many rupees do 9 chocolates cost?
24. 24.A library shelf has 32 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 8 (b) 8 : 1 (c) 32 : 4 (d) 9 : 2
25. 25.2 : 9 = ? : 45
26. 26.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 8 hours?
27. 27.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 1 hour?
28. 28.A basket has 4 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 18 (b) 2 : 9 (c) 9 : 2 (d) 3 : 10
29. 29.A class has 24 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 40 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
30. 30.If 7 pens cost ₹371, how many rupees do 10 pens cost?
31. 31.Are 8, 18, 36 and 83 in proportion? (a) Yes (b) No
32. 32.2 : 5 = 12 : ?
33. 33.Write the ratio 5 : 40 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 5 : 40
34. 34.Write the ratio 15 : 21 in its simplest form. (a) 15 : 21 (b) 6 : 8 (c) 5 : 7 (d) 7 : 5
35. 35.2 : 3 = ? : 9
36. 36.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
37. 37.2 : 9 = ? : 18
38. 38.₹1440 is shared between Isha and Priya in the ratio 1 : 8. How many rupees does Priya get?
39. 39.If 5 notebooks cost ₹70, how many rupees do 4 notebooks cost?
40. 40.Are 15, 27, 25 and 45 in proportion? (a) No (b) Yes

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