POST UTME NOUN 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 + 3
D. y = 2x - 3
Question 2
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 - x^2}} ) u\sing the chain rule.
A. f'(x) = \frac{x}{\( 1 - x^2 \)^{3/2}}
B. f'(x) = \frac{-x}{\( 1 - x^2 \)^{3/2}}
C. f'(x) = \frac{1}{\( 1 - x^2 \)^{3/2}}
D. f'(x) = \frac{-1}{\( 1 - x^2 \)^{3/2}}
Question 3
A vector [ mathbf{a} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} ] is rotated by 90° about the x-axis. What is the new vector?
A. \begin{pmatrix} 1 \ -3 \ -2 \end{pmatrix}
B. \begin{pmatrix} 1 \ 3 \ 2 \end{pmatrix}
C. \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}
D. \begin{pmatrix} 1 \ -2 \ 3 \end{pmatrix}
Question 4
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. P\( 60 < X < 90 \) = 0.6827
B. P\( 60 < X < 90 \) = 0.8413
C. P\( 60 < X < 90 \) = 0.9772
D. P\( 60 < X < 90 \) = 0.9987
Question 5
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 6
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 7
Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{bmatrix} \) u\sing cofactor expansion.
A. det(A) = 0
B. det(A) = 1
C. det(A) = -1
D. det(A) = 2
Question 8
Find the value of x in the equation \( 2^x = 16 \).
A. 2
B. 3
C. 4
D. 5
Question 9
A circle with center (0,0) and radius 5 passes through which of the following points?
A. (3,4)
B. (4,3)
C. (5,0)
D. (0,5)
Question 10
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).
A. ( 6 )
B. ( 8 )
C. ( 10 )
D. ( 12 )
Question 11
Find the equation of the line pas\sing through the points $\( -2, 3 \)$ and $(1, 4)$.
A. y = \frac{7}{3}x + \frac{5}{3}
B. y = \frac{3}{7}x - \frac{5}{7}
C. y = \frac{7}{3}x - \frac{5}{3}
D. y = \frac{3}{7}x + \frac{5}{7}
Question 12
Solve the inequality $\frac{x - 2}{x + 1} > 0$.
A. $\( -\infty, -1 \) \cup \( 2, \infty \)$
B. $\( -\infty, -1 \) \cup \( -1, 2 \)$
C. $\( -\infty, 2 \) \cup \( 2, \infty \)$
D. $\( -\infty, -1 \) \cup \( 2, \infty \)$
Question 13
A survey of 1000 people showed that 60% preferred coffee, 20% preferred tea, and 20% preferred both. What percentage of people preferred coffee or tea?
A. 70%
B. 80%
C. 85%
D. 90%
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 10
B. 12
C. 14
D. 16
Question 15
Solve the equation \( \frac{1}{2}x^2 + 3x - 2 = 0 \) u\sing the quadratic formula.
A. x = -2 \pm \sqrt{3}
B. x = 1 \pm \sqrt{2}
C. x = -1 \pm \sqrt{3}
D. x = 2 \pm \sqrt{2}

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