POST UTME BSU 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the circle with radius \( r = 4 \) u\sing the formula \( A = pi r^2 \).
A. 50.265
B. 100.53
C. 157.08
D. 314.16
Question 2
A histogram is a graphical representation of the distribution of a set of data. Which of the following is NOT a characteristic of a histogram?
A. It is a graphical representation of the distribution of a set of data
B. It is a type of bar chart
C. It is used to show the frequency of each data point
D. It is a type of line graph
Question 3
Solve the matrix equation egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}.
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 1, y = 1
D. x = 2, y = 2
Question 4
Find the equation of the circle with center at (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 5
In the diagram below, ( ABC ) is a right-angled triangle with \( AB = 6 \) and \( BC = 8 \). Find the length of ( AC ).
A. 10
B. 12
C. 15
D. 20
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 1 \) ∪ (3, ∞)
Question 7
Find the area under the curve \( y = x^2 + 2x - 3 \) from x = 0 to x = 4.
A. 20
B. 30
C. 40
D. 50
Question 8
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 15
B. 25
C. 35
D. 45
Question 9
Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 10
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 11
Solve the equation \( \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2} \) for x.
A. x = 5
B. x = -1
C. x = 2
D. x = -3
Question 12
Solve for x in the equation: \( 2x^2 + 5x - 3 = 0 \)
A. -1.5
B. 1.5
C. 3
D. -3
Question 13
Find the derivative of ( f(x) = \frac{1}{x^2} ) u\sing the chain rule.
A. -2/x^3
B. 2/x^3
C. -1/x^3
D. 1/x^3
Question 14
Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 15
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. 0.693
B. 0.785
C. 0.905
D. 1.047

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: