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