POST UTME ESUT 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center (1, 2) and radius 3
A. x^2 + y^2 - 2x + 4y + 5 = 0
B. x^2 + y^2 + 2x - 4y + 5 = 0
C. x^2 + y^2 - 2x - 4y + 5 = 0
D. x^2 + y^2 + 2x + 4y + 5 = 0
Question 2
Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 4.
A. 64
B. 128
C. 256
D. 512
Question 3
Solve the inequality |x - 2| > 3.
A. x < -1 or x > 5
B. x < 1 or x > 5
C. x < -1 or x > 4
D. x < 1 or x > 4
Question 4
Solve for x in the equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 7 \ 11 \end{bmatrix} \).
A. x = 3
B. x = 4
C. x = 5
D. x = 6
Question 5
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( 12 + 12 \sqrt{2} - 8 \ \)
B. \( 12 + 12 \sqrt{2} + 8 \ \)
C. \( 12 - 12 \sqrt{2} - 8 \ \)
D. \( 12 - 12 \sqrt{2} + 8 \ \)
Question 7
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( -\infty, 1 \) \cup \( 3, \infty \)
B. \( -\infty, 3 \) \cup \( 1, \infty \)
C. (1, 3)
D. \( -\infty, 1 \) \cup \( 3, \infty \)
Question 8
A circle has a radius of 5 cm. Find the area of the circle.
A. \pi r^2
B. 2\pi r
C. \pi r
D. \pi r^2 + 2\pi r
Question 9
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. \( x = 2 \ \)
B. \( x = 3 \ \)
C. \( x = 4 \ \)
D. \( x = 5 \ \)
Question 10
Find the value of \( \log_{10} \left\( \frac{1}{2} \right \ \) given that \( \log_{10} 2 = \frac{3}{5} \ \).
A. \( -\frac{3}{5} \ \)
B. \( -\frac{1}{5} \ \)
C. \( \frac{1}{5} \ \)
D. \( \frac{3}{5} \ \)
Question 11
Find the equation of the line pas\sing through the points (2, 3) and (4, 5)
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 12
Solve the system of equations: \begin{align*} x + y &= 3 \ x - y &= 1 \end{align*}
A. x = 2, y = 1
B. x = 1, y = 2
C. x = 2, y = 2
D. x = 1, y = 1
Question 13
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{2}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{-2}{\( x^2 + 1 \)^2} )
Question 14
Solve the system of equations: \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}
A. x = 3, y = 1
B. x = 2, y = 2
C. x = 1, y = 3
D. x = 4, y = 0
Question 15
Find the mean and s\tandard deviation of the data set: \{2, 4, 6, 8, 10\}
A. Mean = 6, S\tandard Deviation = 2
B. Mean = 4, S\tandard Deviation = 2
C. Mean = 6, S\tandard Deviation = 4
D. Mean = 4, S\tandard Deviation = 4

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: