POST UTME BSU 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{array} ].
A. 0
B. 1
C. 2
D. 3
Question 2
Solve the system of equations: x + y = 4 and x^2 + y^2 = 16.
A. x = 2, y = 2
B. x = 2, y = 4
C. x = 4, y = 2
D. x = 4, y = 4
Question 3
The histogram below shows the distribution of exam scores. Find the mean of the scores.
A. 50
B. 60
C. 70
D. 80
Question 4
The mean of a set of numbers is 15, and the s\tandard deviation is 3. If the largest number in the set is 21, what is the smallest number?
A. 9
B. 12
C. 15
D. 18
Question 5
Find the equation of the \tangent line to the curve \( y = x^2 - 4x + 3 \) at the point \( 1, -2 \ \) ).
A. \( y = -x + 1 \)
B. \( y = x - 3 \)
C. \( y = -x - 1 \)
D. \( y = x + 1 \)
Question 6
A sequence of numbers is defined as: 1, 4, 9, 16, ... . What is the next term in the sequence?
A. 25
B. 36
C. 49
D. 64
Question 7
A histogram is shown below. Find the mean of the data set.
A. 5
B. 10
C. 15
D. 20
Question 8
Find the area of the triangle with vertices ( A(1, 2), B(3, 4), C(2, 1) ).
A. ( 5 )
B. ( 10 )
C. ( 15 )
D. ( 20 )
Question 9
Solve the equation \( 2^x + 3^x = 5^x \) for x.
A. 1
B. 2
C. 3
D. 4
Question 10
Determine the volume of the frustum of a cone with a height of 10 cm, a lower base radius of 4 cm, and an upper base radius of 6 cm.
A. 100π cm³
B. 120π cm³
C. 150π cm³
D. 180π cm³
Question 11
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
C. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
Question 12
A function f(x) is defined as f(x) = 2x^2 + 3x - 1. Find the derivative of f(x) u\sing the chain rule.
A. 4x + 3
B. 2x + 3
C. 4x^2 + 3x
D. 2x^2 + 3x
Question 13
Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, 54, ldots ).
A. ( 5894 )
B. ( 5894 )
C. ( 5894 )
D. ( 5894 )
Question 14
Find the sum of the infinite geometric series [ \sum_{n=1}^\infty \frac{1}{2^n} \].
A. 1
B. \frac{1}{2}
C. \frac{2}{3}
D. \frac{3}{4}
Question 15
A random variable X has a probability distribution given by ( P(X) = \begin{cases} 0.2 & \text{if } X = 1 \\ 0.8 & \text{if } X = 2 \\ 0 & \text{otherwise} \end{cases} ). Find the probability that X is greater than 1.
A. 0.2
B. 0.8
C. 0.6
D. 0.4

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