POST UTME LEAD CITY UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the mean of the data set: 2, 4, 6, 8, 10.
A. 6
B. 7
C. 8
D. 9
Question 2
Find the equation of the circle pas\sing through the points (1, 2), (3, 4), and (5, 6).
A. x^2 + y^2 - 4x - 6y + 9 = 0
B. x^2 + y^2 - 2x - 4y + 4 = 0
C. x^2 + y^2 + 2x - 6y + 9 = 0
D. x^2 + y^2 - 6x + 2y - 9 = 0
Question 3
Find the area under the curve y = x^3 + 2x^2 - 5x + 1 from x = 0 to x = 2.
A. 10
B. 20
C. 30
D. 40
Question 4
A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.
A. 5
B. 7
C. 9
D. 11
Question 5
Find the s\tandard deviation of the data set: 1, 3, 5, 7, 9.
A. 2
B. 3
C. 4
D. 5
Question 6
Solve the system of equations \( x + y = 4 \) and \( xy = 5 \).
A. x = 1, y = 3
B. x = 2, y = 2
C. x = 3, y = 1
D. x = 4, y = 0
Question 7
Solve the equation \( x^2 + 4x - 5 = 0 \) u\sing the quadratic formula.
A. \frac{-4 \pm \sqrt{16 + 20}}{2}
B. \frac{-4 \pm \sqrt{36}}{2}
C. \frac{-4 \pm \sqrt{16}}{2}
D. \frac{-4 \pm \sqrt{20}}{2}
Question 8
Find the sum of the infinite geometric series with first term 1/2 and common ratio 1/4.
A. 1
B. 3/4
C. 1/2
D. 2/3
Question 9
Find the equation of the circle with center (C(2, 3)) and radius 4.
A. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
B. \left\( x - 3 \right \)^2 + \left\( y - 2 \right \)^2 = 16
C. \left\( x - 4 \right \)^2 + \left\( y - 5 \right \)^2 = 16
D. \left\( x - 5 \right \)^2 + \left\( y - 4 \right \)^2 = 16
Question 10
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \frac{1}{2} \arc\tan(x) \Big|_0^1
B. \frac{1}{2} \arc\tan(x) \Big|_0^1 + \frac{1}{2}
C. \frac{1}{2} \arc\tan(x) \Big|_0^1 - \frac{1}{2}
D. \frac{1}{2} \arc\tan(x) \Big|_0^1
Question 11
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. -2x/\( x^2 + 1 \)²
B. 2x/\( x^2 + 1 \)²
C. -2/\( x^2 + 1 \)²
D. 2/\( x^2 + 1 \)²
Question 12
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 13
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 242
B. 242
C. 242
D. 242
Question 14
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 = 16
C. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
Question 15
Solve the inequality \frac{x-2}{x+1} > 0.
A. x > -1
B. x < 2
C. x > 1
D. x < -1 or x > 2

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