Mensuration, Statistics, Algebra - Question Bank

1. What is the surface area of a sphere with radius 3 cm? (Use pi = 3.14)
A) 28.26 sq cm
B) 56.52 sq cm
C) 84.78 sq cm
D) 113.04 sq cm
2. What is the probability of drawing an even number from the set {1, 2, 3, 4, 5, 6}?
A) 1/6
B) 1/3
C) 1/2
D) 2/3
3. If 3x + 5y = 11 and x + y = 3, what is the value of y?
A) 1
B) 2
C) 3
D) 4
4. A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use pi = 22/7)
A) 1570/7 cu cm
B) 785/7 cu cm
C) 157 cu cm
D) 785 cu cm
5. What is the formula for the sum of cubes of the first 'n' natural numbers?
A) n(n+1)/2
B) (n(n+1)/2)^2
C) n(n+1)(2n+1)/6
D) n^2
6. What is the range of the dataset: 50, 10, 30, 20, 40?
A) 10
B) 20
C) 30
D) 40
7. If x = 5, what is the value of 3x - 7?
A) 8
B) 10
C) 15
D) 22
8. A sector of a circle has a radius of 10 cm and a central angle of 90 degrees. What is the area of the sector? (Use pi = 3.14)
A) 31.4 sq cm
B) 78.5 sq cm
C) 157 sq cm
D) 314 sq cm
9. What is the mode of the dataset: 1, 2, 2, 3, 3, 3, 4?
A) 1
B) 2
C) 3
D) 4
10. If 2(x + 3) = 10, what is the value of x?
A) 2
B) 5
C) 7
D) 8
11. What is the formula for the area of a rhombus?
A) side^2
B) 1/2 * d1 * d2
C) base * height
D) 4 * side
12. A right-angled triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
A) 10 cm
B) 14 cm
C) 48 cm
D) 100 cm
13. What is the mean of the dataset: 1, 3, 5, 7, 9?
A) 1
B) 5
C) 9
D) 15
14. If x + y = 10 and x - y = 2, what is the value of x?
A) 5
B) 6
C) 8
D) 12
15. What is the formula for the total surface area of a cylinder?
A) 2 * pi * r * h
B) pi * r^2 * h
C) 2 * pi * r * (r + h)
D) 4 * pi * r^2
16. A square has an area of 64 sq meters. What is its side length?
A) 4 meters
B) 8 meters
C) 16 meters
D) 32 meters
17. What is the sum of the interior angles of a quadrilateral?
A) 180 degrees
B) 270 degrees
C) 360 degrees
D) 540 degrees
18. If 5x = 20, what is the value of x?
A) 4
B) 15
C) 25
D) 100
19. What is the formula for the volume of a cylinder?
A) 2 * pi * r * h
B) pi * r^2 * h
C) 4/3 * pi * r^3
D) pi * r^2
20. What is the median of the dataset: 10, 20, 30, 40, 50?
A) 10
B) 20
C) 30
D) 50
21. If x - 7 = 2, what is the value of x?
A) 5
B) 9
C) 14
D) -5
22. A cuboid has dimensions 5 cm, 4 cm, and 3 cm. What is its volume?
A) 12 cu cm
B) 19 cu cm
C) 60 cu cm
D) 240 cu cm
23. What is the probability of rolling a 6 on a standard six-sided die?
A) 1/6
B) 1
C) 0
D) 6
24. If x^2 = 16, what are the possible values of x?
A) 4
B) -4
C) 4 and -4
D) 8
25. What is the formula for the area of a parallelogram?
A) base * height
B) 2 * (length + width)
C) side * side
D) 1/2 * diagonal1 * diagonal2
26. The perimeter of a triangle is 24 cm. If two sides are 7 cm and 9 cm, what is the length of the third side?
A) 8 cm
B) 16 cm
C) 23 cm
D) 2 cm
27. What is the range of the dataset: 10, 2, 8, 5, 12?
A) 2
B) 8
C) 10
D) 12
28. If 3x + 2 = 11, what is the value of x?
A) 3
B) 9
C) 13
D) 7/3
29. What is the formula for the surface area of a cube?
A) side^3
B) 6 * side^2
C) side^2
D) 12 * side
30. What is the standard deviation of the dataset: 5, 5, 5, 5?
A) 0
B) 1
C) 5
D) 25
31. If x/2 = 5, what is the value of x?
A) 2.5
B) 7
C) 10
D) 25
32. The lengths of the parallel sides of a trapezoid are 6 cm and 10 cm, and its height is 5 cm. What is its area?
A) 30 sq cm
B) 40 sq cm
C) 80 sq cm
D) 50 sq cm
33. What is the probability of getting a head when a fair coin is tossed?
A) 0
B) 1/2
C) 1
D) 1/4
34. If a = 3 and b = 4, what is the value of a^2 + b^2?
A) 7
B) 12
C) 25
D) 49
35. What is the formula for the area of a trapezoid?
A) 1/2 * (a+b) * h
B) a * b
C) 1/2 * base * height
D) pi * r^2
36. The mean of a dataset is 15. The sum of the observations is 75. How many observations are there?
A) 3
B) 5
C) 10
D) 15
37. If 2x - 3 = 7, what is the value of x?
A) 4
B) 5
C) 10
D) 2
38. What is the formula for the volume of a sphere?
A) 4/3 * pi * r^3
B) pi * r^2 * h
C) 4 * pi * r^2
D) 2 * pi * r
39. What is the mode of the dataset: 4, 7, 4, 8, 4, 9, 7?
A) 4
B) 7
C) 8
D) 9
40. If x + 5 = 10, what is the value of x?
A) 3
B) 5
C) 15
D) 2
41. What is the median of the dataset: 2, 5, 1, 8, 3?
A) 2
B) 3
C) 5
D) 8
42. The sum of the first 'n' natural numbers is given by which formula?
A) n(n+1)/2
B) n(n+1)(2n+1)/6
C) n^2
D) (n(n+1)/2)^2
43. A cone has a radius of 3 cm and a height of 4 cm. What is its slant height?
A) 5 cm
B) 7 cm
C) 12 cm
D) 25 cm
44. What is the formula for the lateral surface area of a cylinder?
A) 2 * pi * r * (r + h)
B) pi * r^2 * h
C) 2 * pi * r * h
D) 4 * pi * r^2
45. The diameter of a circle is 14 cm. What is its area? (Use pi = 22/7)
A) 44 sq cm
B) 154 sq cm
C) 616 sq cm
D) 308 sq cm
46. A triangle has a base of 10 cm and a height of 8 cm. What is its area?
A) 18 sq cm
B) 40 sq cm
C) 80 sq cm
D) 30 sq cm
47. What is the formula for the volume of a cuboid?
A) side^3
B) l * w * h
C) 2*(lw + wh + hl)
D) 4/3 * pi * r^3
48. A circle has a radius of 7 cm. What is its circumference? (Use pi = 22/7)
A) 44 cm
B) 154 sq cm
C) 22 cm
D) 88 cm
49. The perimeter of a square is 36 cm. What is its area?
A) 81 sq cm
B) 36 sq cm
C) 144 sq cm
D) 9 sq cm
50. What is the formula for the area of a rectangle?
A) side * side
B) length * width
C) 2 * (length + width)
D) 1/2 * base * height
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