POST UTME UNIPORT 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set of 5 numbers has a mean of 10. Find the sum of the numbers.
A. ( 50 )
B. ( 60 )
C. ( 70 )
D. ( 80 )
Question 2
Find the sum of the first 5 terms of the geometric sequence ( 2, 6, 18, 54, ... ).
A. 124
B. 134
C. 144
D. 154
Question 3
Solve the quadratic equation: \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 4
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \). Find the first five terms of the sequence.
A. 1, 3, 7, 15, 31
B. 1, 2, 4, 8, 16
C. 1, 3, 5, 7, 9
D. 1, 2, 3, 4, 5
Question 5
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. 0
B. -2
C. 2
D. -4
Question 6
A geometric sequence has a first term of 2 and a common ratio of 3. Find the sum of the first 5 terms.
A. ( 244 )
B. ( 246 )
C. ( 248 )
D. ( 250 )
Question 7
A histogram is shown below. Find the value of the mean of the data.
A. 10
B. 20
C. 30
D. 40
Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > 1 \)
C. \( x < -1 \) or \( x < \frac{3}{2} \)
D. \( x > -1 \) or \( x > \frac{3}{2} \)
Question 9
A polynomial ( P(x) ) is defined by ( P(x) = x^3 - 6x^2 + 11x - 6 ). Find the value of ( P(2) ).
A. 0
B. 2
C. 4
D. 6
Question 10
A matrix ( A ) is defined by \( A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \). Find the value of ( det(A) ).
A. 0
B. 2
C. 4
D. 6
Question 11
A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly two elements.
A. 5
B. 10
C. 15
D. 20
Question 12
A circle has a radius of 4 cm. Find the area of the circle.
A. \( 16pi , \text{cm}^2 \)
B. \( 32pi , \text{cm}^2 \)
C. \( 64pi , \text{cm}^2 \)
D. \( 128pi , \text{cm}^2 \)
Question 13
In the number base 8, what is the value of the expression \( 5 \times 6 + 7 \)?
A. 37
B. 43
C. 47
D. 53
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 42
C. 44
D. 46
Question 15
Solve the inequality $\frac{x}{x-1} > 0$.
A. x < 0 or x > 1
B. x < 1
C. x > 1
D. x = 1

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