Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 361 · 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.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 6 hours?
2. 2.If 4 mangoes cost ₹192, how many rupees do 5 mangoes cost?
3. 3.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
4. 4.Write the ratio 35 : 30 in its simplest form. (a) 7 : 6 (b) 8 : 7 (c) 6 : 7 (d) 35 : 30
5. 5.1 : 2 = 5 : ?
6. 6.A train goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
7. 7.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
8. 8.If 2 notebooks cost ₹120, how many rupees do 7 notebooks cost?
9. 9.If 8 ice creams cost ₹64, how many rupees do 9 ice creams cost?
10. 10.₹630 is shared between Vivaan and Kabir in the ratio 2 : 5. How many rupees does Vivaan get?
11. 11.A box has 9 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 9 : 72 (c) 2 : 9 (d) 1 : 8
12. 12.₹780 is shared between Kavya and Rohan in the ratio 1 : 5. How many rupees does Kavya get?
13. 13.Are 5, 10, 4 and 9 in proportion? (a) Yes (b) No
14. 14.Are 3, 18, 9 and 54 in proportion? (a) Yes (b) No
15. 15.₹1360 is shared between Lakshmi and Kavya in the ratio 3 : 5. How many rupees does Kavya get?
16. 16.1 : 6 = 3 : ?
17. 17.If 2 bus tickets cost ₹60, how many rupees do 11 bus tickets cost?
18. 18.If 4 notebooks cost ₹100, how many rupees do 2 notebooks cost?
19. 19.3 : 8 = ? : 80
20. 20.If 9 ice creams cost ₹522, how many rupees do 11 ice creams cost?
21. 21.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
22. 22.₹90 is shared between Arjun and Riya in the ratio 1 : 2. How many rupees does Arjun get?
23. 23.A basket has 16 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 16 : 14 (b) 8 : 7 (c) 7 : 8 (d) 9 : 8
24. 24.Write the ratio 63 : 35 in its simplest form. (a) 63 : 35 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
25. 25.A class has 4 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 3 : 2 (d) 4 : 2
26. 26.A box has 9 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 9 : 36 (d) 2 : 5
27. 27.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
28. 28.₹90 is shared between Lakshmi and Saanvi in the ratio 4 : 5. How many rupees does Saanvi get?
29. 29.2 : 7 = 6 : ?
30. 30.4 : 9 = ? : 36
31. 31.2 : 7 = ? : 14
32. 32.Are 8, 18, 12 and 27 in proportion? (a) No (b) Yes
33. 33.₹360 is shared between Rohan and Manav in the ratio 1 : 5. How many rupees does Rohan get?
34. 34.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
35. 35.If 9 notebooks cost ₹243, how many rupees do 11 notebooks cost?
36. 36.5 : 7 = ? : 63
37. 37.A class has 54 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 7 (b) 7 : 9 (c) 10 : 8 (d) 54 : 42
38. 38.Are 30, 54, 35 and 63 in proportion? (a) Yes (b) No
39. 39.If 2 notebooks cost ₹34, how many rupees do 4 notebooks cost?
40. 40.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?

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