POST UTME AAUA 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 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 area under the curve \( y = x^2 \) from x = 0 to x = 2.
A. 4
B. 2
C. 1
D. 3
Question 4
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 5
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 2
B. -3
C. -2
D. 1
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x > \frac{3}{2} \)
C. \( x < -\frac{1}{2} \) or \( x < \frac{3}{2} \)
D. \( x > -\frac{1}{2} \) or \( x < \frac{3}{2} \)
Question 7
Find the volume of the solid formed by revolving the region bounded by y = x^2 and y = 4 - x^2 about the x-axis.
A. \frac{32\pi}{3}
B. \frac{64\pi}{3}
C. \frac{128\pi}{3}
D. \frac{256\pi}{3}
Question 8
Solve the quadratic equation x^2 + 4x + 4 = 0.
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 9
A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even and the coin lands heads up, what is the probability that the number on the die is greater than 4?
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{1}{2}
D. \frac{2}{3}
Question 10
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 11
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 10 terms of the sequence.
A. 220
B. 240
C. 260
D. 280
Question 12
Solve for x in the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -3
C. 2
D. 3
Question 13
Determine the value of x in the equation \( \sin^2 x + \cos^2 x = 1 \) if \( \sin x = \frac{3}{5} \).
A. \( \frac{4pi}{3} \)
B. \( \frac{5pi}{3} \)
C. \( \frac{pi}{3} \)
D. \( \frac{2pi}{3} \)
Question 14
Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, 54, ... ).
A. 1023
B. 1024
C. 1025
D. 1026
Question 15
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\( \infty \ \)

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: