POST UTME COVENANT UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve \[y = \frac{1}{x}, \quad 1 \leq x \leq 2\].
A. 0.693
B. 0.693
C. 0.693
D. 0.693
Question 2
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 1/2.
A. 1023/512
B. 2047/1024
C. 4095/2048
D. 8191/4096
Question 3
A set of 5 numbers has a mean of 10 and a s\tandard deviation of 2. If a new number is added to the set, the mean increases to 12. What is the value of the new number?
A. 16
B. 18
C. 20
D. 22
Question 4
A histogram is shown below. Find the mean of the data.
A. 10
B. 15
C. 20
D. 25
Question 5
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 6
A car travels from city A to city B at an average speed of 60 km/h. If the dis\tance between the two cities is 240 km, how long does the journey take in hours?
A. 4
B. 4.5
C. 5
D. 5.5
Question 7
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, calculate their total daily profit in naira.
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 8
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 9
A circle with center at (2, 3) and radius 4 passes through the point (10, 7). Find the equation of the circle.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 10 \)^2 + \( y - 7 \)^2 = 16
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
D. \( x - 10 \)^2 + \( y - 7 \)^2 = 25
Question 10
The equation of a circle is given by \( x^2 + y^2 = 4 \). Find the equation of the \tangent line to the circle at the point \( 1, \sqrt{3} \ \) ).
A. y = -\sqrt{3}x + 2\sqrt{3}
B. y = \sqrt{3}x + 2\sqrt{3}
C. y = -\sqrt{3}x - 2\sqrt{3}
D. y = \sqrt{3}x - 2\sqrt{3}
Question 11
Find the sum of the first 5 terms of the geometric series \( 2 + 6 + 18 + ... \).
A. 62
B. 64
C. 66
D. 68
Question 12
A die is rolled twice. Find the probability that the sum of the two numbers is 7.
A. \frac{1}{6}
B. \frac{1}{12}
C. \frac{1}{24}
D. \frac{1}{36}
Question 13
Find the volume of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. \frac{32\pi}{5}
B. \frac{16\pi}{3}
C. \frac{8\pi}{3}
D. \frac{4\pi}{3}
Question 14
In the diagram below, what is the area of the triangle ABC?
A. 6
B. 12
C. 18
D. 24
Question 15
A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.
A. 5
B. 7
C. 9
D. 11

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