POST UTME RHEMA UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, ... ).
A. 59049
B. 59048
C. 59047
D. 59046
Question 2
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. \( x^2 + y^2 - 8x + 6y - 4 = 0 \)
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 sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 5
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 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
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 8
Find the sum of the first 8 terms of the arithmetic progression ( 1, 3, 5, ... ).
A. 32
B. 36
C. 40
D. 44
Question 9
Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (0, 3) ).
A. 3
B. 6
C. 9
D. 12
Question 10
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 11
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 12
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 13
Find the value of ( x ) in the equation \( 2^x = 64 \).
A. 3
B. 4
C. 5
D. 6
Question 14
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 15
Solve for x in the equation \( x^2 + 4x + 4 = 0 \)
A. x = -2
B. x = -1
C. x = 0
D. x = 1

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