POST UTME UNIPORT 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Find the volume of the prism u\sing the formula V = lwh.
A. 100 cm^3
B. 120 cm^3
C. 150 cm^3
D. 200 cm^3
Question 2
Find the area of the triangle with vertices (0,0), (3,0), and (0,4).
A. 6
B. 12
C. 18
D. 24
Question 3
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. -2
B. -1
C. 1
D. 2
Question 4
A set of 5 numbers has a mean of 10 and a median of 8. Find the sum of the numbers.
A. 50
B. 60
C. 70
D. 80
Question 5
A random experiment has two possible outcomes: heads or tails. If the probability of getting heads is \( \frac{1}{3} \), find the probability of getting tails.
A. \frac{1}{3}
B. \frac{2}{3}
C. \frac{1}{2}
D. \frac{1}{4}
Question 6
The mean of a set of numbers is 25. If the sum of the numbers is 150, how many numbers are in the set?
A. 4
B. 6
C. 8
D. 10
Question 7
Find the sum of the first 10 terms of the geometric series $\sum_{n=1}^{10} \frac{2}{3^n}$.
A. \frac{63}{32}
B. \frac{63}{64}
C. \frac{63}{128}
D. \frac{63}{256}
Question 8
A histogram shows the distribution of exam scores for a class of 20 students. The histogram has 5 bars, each representing a score range. The heights of the bars are 2, 3, 4, 5, and 6. Find the mean of the scores.
A. 4.2
B. 4.4
C. 4.6
D. 4.8
Question 9
Find the value of \( \sin\( 2x \ \) ) given that \( \sin\( x \ \) = \frac{1}{2} ).
A. \frac{1}{2}
B. \frac{\sqrt{3}}{2}
C. \frac{\sqrt{5}}{2}
D. \frac{\sqrt{7}}{2}
Question 10
A set ( S ) contains the elements ( 1, 2, 3, 4, 5, 6 ). Find the number of subsets of ( S ) that contain exactly two elements.
A. 6
B. 12
C. 20
D. 30
Question 11
Solve the system of equations \begin{align*} x+y+z&=3\ x+2y+3z&=6\ 2x+3y+4z&=9\ \end{align*}.
A. x=1, y=1, z=1
B. x=2, y=1, z=0
C. x=3, y=0, z=0
D. x=0, y=0, z=0
Question 12
Find the equation of the line pas\sing through the points (1,2) and (3,4).
A. y-2=\frac{2}{2}\( x-1 \)
B. y-2=\frac{2}{3}\( x-1 \)
C. y-2=\frac{4}{2}\( x-1 \)
D. y-2=\frac{4}{3}\( x-1 \)
Question 13
Let \( A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \) and \( B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix} \). Find ( AB ) if it exists.
A. \[ AB = \begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix} \]
B. \[ AB = \begin{bmatrix} 11 & 14 \\ 25 & 30 \end{bmatrix} \]
C. \[ AB = \begin{bmatrix} 3 & 4 \\ 9 & 12 \end{bmatrix} \]
D. \[ AB = \begin{bmatrix} 5 & 6 \\ 15 & 18 \end{bmatrix} \]
Question 14
Solve the inequality \frac{x-2}{x+1}>0.
A. x<-1 or x>2
B. x<-1 or x<2
C. x>1 or x>2
D. x<-1 or x<2
Question 15
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ) in base 10.
A. 10
B. 100
C. 1000
D. 10000

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