POST UTME AAUA 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality $x^2-4x-5>0$ u\sing the quadratic formula.
A. \( -\infty,-5)\cup\( 1,\infty \ \)
B. \( -\infty,-5)\cup\( 5,\infty \ \)
C. \( -\infty,1)\cup\( 5,\infty \ \)
D. \( -\infty,5)\cup\( \infty \ \)
Question 2
In the diagram below, ( ABC ) is a right-angled triangle with \( AB = 3 \) and \( BC = 4 \). What is the length of side ( AC )?
A. 5
B. 6
C. 7
D. 8
Question 3
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. \( -\frac{2x}{\( x^2 + 1 \ \)^2} )
B. \( \frac{2x}{\( x^2 + 1 \ \)^2} )
C. \( -\frac{2}{\( x^2 + 1 \ \)^2} )
D. \( \frac{2}{\( x^2 + 1 \ \)^2} )
Question 4
Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].
A. -4
B. 0
C. 4
D. -1
Question 5
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24π cm³
B. 48π cm³
C. 72π cm³
D. 96π cm³
Question 6
Find the area under the curve [ y = x^2 + 2x + 1 ] from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 7
A polynomial function ( f(x) ) has zeros at \( x = -2 \) and \( x = 3 \). If \( f\( -1 \ \) = 10 ), what is the value of ( f(2) )?
A. 20
B. 30
C. 40
D. 50
Question 8
Find the area of the triangle with vertices (1, 2), (3, 4), and (5, 6).
A. 10
B. 20
C. 30
D. 40
Question 9
Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.
A. \frac{8}{3}
B. \frac{16}{3}
C. \frac{32}{3}
D. \frac{64}{3}
Question 10
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If 5 students scored above 90, what is the probability that a randomly selected student scored above 90?
A. 0.05
B. 0.1
C. 0.2
D. 0.25
Question 11
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, what is P(A and B)?
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 12
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 2
B. y = 2x + 2
C. y = x - 2
D. y = x + 2
Question 13
A histogram of exam scores is shown below. What is the mean score?
A. 40
B. 50
C. 60
D. 70
Question 14
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 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3
B. x < 1 or x > -3
C. x < -3 or x > 1
D. x < 3 or x > -1

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