Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 202 · 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. 1.8 : 9 = 64 : ?
2. 2.A class has 5 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 1 (b) 2 : 3 (c) 5 : 10 (d) 1 : 2
3. 3.2 : 9 = ? : 27
4. 4.Write the ratio 18 : 48 in its simplest form. (a) 18 : 48 (b) 3 : 8 (c) 4 : 9 (d) 8 : 3
5. 5.3 : 8 = 12 : ?
6. 6.If 2 bus tickets cost ₹18, how many rupees do 5 bus tickets cost?
7. 7.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
8. 8.6 : 7 = 12 : ?
9. 9.A basket has 8 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 4 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
10. 10.4 : 5 = 8 : ?
11. 11.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
12. 12.4 : 7 = 8 : ?
13. 13.2 : 5 = 4 : ?
14. 14.A bus goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
15. 15.₹520 is shared between Joseph and Ishaan in the ratio 5 : 8. How many rupees does Ishaan get?
16. 16.A class has 30 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 6 : 4 (d) 30 : 18
17. 17.3 : 7 = 21 : ?
18. 18.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
19. 19.₹2280 is shared between Aditya and Gurpreet in the ratio 5 : 7. How many rupees does Aditya get?
20. 20.If 5 notebooks cost ₹220, how many rupees do 2 notebooks cost?
21. 21.If 3 mangoes cost ₹177, how many rupees do 10 mangoes cost?
22. 22.If 5 mangoes cost ₹150, how many rupees do 2 mangoes cost?
23. 23.If 8 pens cost ₹304, how many rupees do 5 pens cost?
24. 24.2 : 5 = ? : 50
25. 25.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
26. 26.3 : 7 = ? : 49
27. 27.A library shelf has 45 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 9 (b) 45 : 25 (c) 10 : 6 (d) 9 : 5
28. 28.If 9 bus tickets cost ₹207, how many rupees do 11 bus tickets cost?
29. 29.Write the ratio 12 : 54 in its simplest form. (a) 3 : 10 (b) 12 : 54 (c) 2 : 9 (d) 9 : 2
30. 30.Are 3, 12, 7 and 31 in proportion? (a) Yes (b) No
31. 31.A library shelf has 72 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 9 (b) 72 : 81 (c) 9 : 10 (d) 9 : 8
32. 32.₹1210 is shared between Manav and Diya in the ratio 5 : 6. How many rupees does Diya get?
33. 33.Are 24, 30, 8 and 10 in proportion? (a) No (b) Yes
34. 34.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
35. 35.₹1900 is shared between Karan and Aarav in the ratio 1 : 9. How many rupees does Karan get?
36. 36.₹210 is shared between Ishaan and Pooja in the ratio 3 : 4. How many rupees does Pooja get?
37. 37.₹1300 is shared between Isha and Joseph in the ratio 1 : 9. How many rupees does Isha get?
38. 38.A class has 27 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 9 (b) 9 : 8 (c) 8 : 9 (d) 27 : 24
39. 39.₹240 is shared between Meera and Kabir in the ratio 1 : 7. How many rupees does Kabir get?
40. 40.1 : 6 = 2 : ?

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