Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 156 · 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. 1.5 : 8 = ? : 40
2. 2.Are 9, 15, 27 and 46 in proportion? (a) No (b) Yes
3. 3.A basket has 49 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 7 : 2 (c) 49 : 14 (d) 2 : 7
4. 4.If 7 chocolates cost ₹399, how many rupees do 9 chocolates cost?
5. 5.5 : 7 = 30 : ?
6. 6.A basket has 35 mangoes and 5 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 2 (b) 7 : 1 (c) 35 : 5 (d) 1 : 7
7. 7.₹100 is shared between Kabir and Meera in the ratio 2 : 3. How many rupees does Meera get?
8. 8.Are 5, 45, 7 and 64 in proportion? (a) No (b) Yes
9. 9.A class has 35 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 35 : 28 (b) 6 : 5 (c) 4 : 5 (d) 5 : 4
10. 10.Are 3, 24, 8 and 65 in proportion? (a) No (b) Yes
11. 11.If 3 notebooks cost ₹24, how many rupees do 2 notebooks cost?
12. 12.Are 10, 18, 30 and 55 in proportion? (a) Yes (b) No
13. 13.Write the ratio 63 : 36 in its simplest form. (a) 8 : 5 (b) 7 : 4 (c) 63 : 36 (d) 4 : 7
14. 14.Write the ratio 12 : 15 in its simplest form. (a) 5 : 6 (b) 12 : 15 (c) 5 : 4 (d) 4 : 5
15. 15.Write the ratio 16 : 18 in its simplest form. (a) 16 : 18 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
16. 16.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 8 hours?
17. 17.If 8 bus tickets cost ₹88, how many rupees do 11 bus tickets cost?
18. 18.1 : 4 = ? : 24
19. 19.₹700 is shared between Isha and Kabir in the ratio 3 : 4. How many rupees does Kabir get?
20. 20.Are 2, 6, 4 and 14 in proportion? (a) Yes (b) No
21. 21.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
22. 22.1 : 2 = 5 : ?
23. 23.Are 3, 18, 6 and 39 in proportion? (a) Yes (b) No
24. 24.Write the ratio 81 : 36 in its simplest form. (a) 4 : 9 (b) 81 : 36 (c) 10 : 5 (d) 9 : 4
25. 25.Are 25, 35, 10 and 14 in proportion? (a) No (b) Yes
26. 26.If 2 notebooks cost ₹36, how many rupees do 6 notebooks cost?
27. 27.If 9 bus tickets cost ₹27, how many rupees do 6 bus tickets cost?
28. 28.₹760 is shared between Dev and Kavya in the ratio 1 : 3. How many rupees does Kavya get?
29. 29.If 5 pens cost ₹165, how many rupees do 8 pens cost?
30. 30.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
31. 31.4 : 7 = ? : 28
32. 32.Are 20, 24, 25 and 30 in proportion? (a) Yes (b) No
33. 33.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
34. 34.₹1400 is shared between Rahul and Zoya in the ratio 2 : 5. How many rupees does Zoya get?
35. 35.3 : 5 = 27 : ?
36. 36.Write the ratio 6 : 3 in its simplest form. (a) 6 : 3 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
37. 37.3 : 8 = ? : 32
38. 38.₹720 is shared between Aarav and Manav in the ratio 1 : 7. How many rupees does Manav get?
39. 39.Write the ratio 24 : 21 in its simplest form. (a) 9 : 8 (b) 8 : 7 (c) 24 : 21 (d) 7 : 8
40. 40.Are 25, 40, 30 and 50 in proportion? (a) No (b) Yes

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets