POST UTME AAUA 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram is constructed from the following data: 2, 4, 6, 8, 10. Find the mean of the data.
A. 5
B. 6
C. 7
D. 8
Question 2
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 = 4
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
Question 3
A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.
A. 4
B. 6
C. 8
D. 12
Question 4
Solve for x in the equation \log_{10} \( x^2 \) = 4.
A. 10^4
B. 10^8
C. 10^12
D. 10^16
Question 5
Find the determinant of the matrix \begin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 6
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. 24\pi
B. 32\pi
C. 48\pi
D. 64\pi
Question 7
Find the equation of the line pas\sing through the points ( (2,3) ) and ( (4,5) ).
A. \( y = \frac{1}{2}x + \frac{1}{2} \)
B. \( y = \frac{1}{2}x - \frac{1}{2} \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 8
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{16}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{64}{3} \)
D. \( \frac{128}{3} \)
Question 9
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 16
B. 32
C. 64
D. 128
Question 10
Find the mean of the numbers 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12
Question 11
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \text{Equation: } \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \text{Equation: } \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \text{Equation: } \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \text{Equation: } \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 12
A random experiment consists of rolling a fair six-sided die. If the outcome is an even number, the experiment is repeated. If the outcome is an odd number, the experiment stops. What is the probability that the experiment will stop after two rolls?
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{1}{2}
D. \frac{2}{3}
Question 13
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 14
Find the sum of the first five terms of the geometric progression with first term \( a = 2 \) and common ratio \( r = 3 \).
A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374
Question 15
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 12
C. 18
D. 24

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: