Ratio and proportion simple interest compound interest area and volume calculations. - Question Bank
1. The circumference of a circle is 88 cm. Find its area. (Use π = 22/7)
2. Find the amount of Rs. 8000 for 3 years at 5% per annum compound interest, compounded annually.
3. A sum of Rs. 7500 amounts to Rs. 8400 in 2 years at simple interest. The rate of interest per annum is:
4. If the ratio of two numbers is 5:8 and their difference is 24, find the numbers.
5. What is the volume of a cylinder with radius 5 cm and height 14 cm? (Use π = 22/7)
6. The area of a rhombus is 150 sq cm. If one of its diagonals is 15 cm, find the length of the other diagonal.
7. Find the compound interest on Rs. 16000 for 9 months at 20% per annum, compounded quarterly.
8. In what time will Rs. 1000 yield an interest of Rs. 200 at 4% per annum simple interest?
9. The ratio of the radii of two circles is 2:3. The ratio of their areas is:
10. What is the total surface area of a cube with an edge length of 4 cm?
11. The perimeter of a rectangle is 50 cm. If its length is 15 cm, find its breadth.
12. A sum of money grows to Rs. 7560 in 3 years at a certain rate of compound interest. If the principal was Rs. 6000, find the rate of interest.
13. Find the difference between the amount and the principal when Rs. 3000 is invested for 2 years at 10% simple interest.
14. If the ratio of A's income to B's income is 4:7 and B's income is Rs. 21000, what is A's income?
15. The volume of a sphere is given by the formula:
16. The area of a circle is calculated using the formula:
17. The compound interest formula for amount A, principal P, rate R, and time T is:
18. Simple interest on Rs. P at R% for T years is given by the formula:
19. If 3:x = 6:8, then x is:
20. The area of a circle is 154 sq cm. Find its radius. (Use π = 22/7)
21. What is the amount of Rs. 10000 in 2 years at 5% per annum compound interest, compounded annually?
22. A sum of money triples itself in 12 years at simple interest. The rate of interest per annum is:
23. If the ratio of the sides of a triangle is 3:4:5 and its perimeter is 60 cm, find the length of the longest side.
24. Find the volume of a cone with radius 6 cm and height 10 cm. (Use π = 3.14)
25. The length of a rectangle is twice its breadth. If the area of the rectangle is 72 sq cm, find its length.
26. What is the compound interest on Rs. 2000 for 1 year at 8% per annum, compounded semi-annually?
27. A sum of Rs. 4000 is invested at 5% simple interest per annum. What is the interest earned after 2 years?
28. The sum of two numbers is 120 and their ratio is 2:3. Find the numbers.
29. What is the volume of a sphere with a radius of 3 cm? (Use π = 22/7)
30. The volume of a cylinder is 1540 cubic cm. If its radius is 7 cm, find its height.
31. Find the volume of a cuboid with length 10 cm, breadth 6 cm, and height 4 cm.
32. What is the volume of a cube with an edge length of 5 cm?
33. The area of a parallelogram is 96 sq cm. If its base is 12 cm, find its height.
34. Find the area of a triangle with a base of 10 cm and a height of 7 cm.
35. The perimeter of a square is 48 cm. Find its area.
36. What is the area of a square with a side length of 9 cm?
37. The area of a rectangle is 120 sq cm. If its length is 15 cm, find its breadth.
38. In how many years will Rs. 2000 amount to Rs. 2315.25 at 10% per annum compound interest, compounded annually?
39. What is the difference between the compound interest and simple interest on Rs. 5000 for 2 years at 6% per annum?
40. A sum of money becomes Rs. 13230 in 3 years at 5% per annum compound interest. Find the principal.
41. Find the amount when Rs. 5000 is invested for 3 years at 8% per annum compound interest, compounded annually.
42. What is the compound interest on Rs. 10000 at 10% per annum for 2 years?
43. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?
44. If Rs. 8000 amounts to Rs. 9200 in 3 years at simple interest, what is the rate of interest per annum?
45. The simple interest on a sum of money is 1/4 of the principal in 5 years. What is the rate of interest per annum?
46. In what time will Rs. 6000 yield an interest of Rs. 1200 at 5% per annum simple interest?
47. What is the simple interest on Rs. 5000 at 8% per annum for 3 years?
48. The ratio of boys to girls in a class is 7:5. If there are 35 boys, how many girls are there?
49. If a:b = 2:3 and b:c = 4:5, what is the ratio a:b:c?
50. Two numbers are in the ratio 2:3. If their product is 54, find the numbers.