POST UTME RHEMA UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the diagram below, a circle with center O and radius 6 cm is inscribed in a square. If the point P is on the circle and the line segment OP is a \tangent to the circle, what is the length of OP?
A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm
Question 2
In a probability experiment, event A has a probability of 0.4 and event B has a probability of 0.6. If events A and B are indep\endent, what is the probability that both events occur?
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 3
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. 3/12
B. 5/12
C. 7/12
D. 9/12
Question 4
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. y = 2x + 1
B. y = 2x - 1
C. y = x + 2
D. y = x - 2
Question 5
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16
Question 6
In the diagram below, a line passes through the points (2, 3) and (4, 6). What is the equation of the line?
A. y = 2x - 1
B. y = 2x + 1
C. y = x - 2
D. y = x + 2
Question 7
A set of 5 numbers has a mean of 10. If 2 is added to each number, what is the new mean?
A. 8
B. 10
C. 12
D. 14
Question 8
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 9
Solve for x in the equation \( \log_{2} \( x^2 \ \) = 4 )
A. 8
B. 16
C. 32
D. 64
Question 10
Find the equation of the line pas\sing through the points ( (0, 0) ) and ( (2, 3) ).
A. y = \frac{3}{2}x
B. y = \frac{2}{3}x
C. y = 2x
D. y = x
Question 11
Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (0, 3) ).
A. 3
B. 6
C. 9
D. 12
Question 12
Solve the system of equations \( \begin{cases} x + y = 2 \ 2x - 3y = - 3 \end{cases} \).
A. x = 1, y = 1
B. x = 2, y = 0
C. x = 0, y = 2
D. x = -1, y = 3
Question 13
Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, ... ).
A. 59049
B. 59048
C. 59047
D. 59046
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. 50
C. 60
D. 70
Question 15
In the diagram below, what is the equation of the circle with center at point C(2,3) and radius 4?
A. \( x^2 + y^2 - 8x + 6y + 4 = 0 \)
B. \( x^2 + y^2 - 4x - 6y + 4 = 0 \)
C. \( x^2 + y^2 + 8x - 6y + 4 = 0 \)
D. \( x^2 + y^2 - 8x + 6y - 4 = 0 \)

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