POST UTME IMS U 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the diagram below, find the equation of the circle with center ( C ) and radius ( 4 ) units.
A. \( x^2 + y^2 = 16 \)
B. \( x^2 + y^2 = 4 \)
C. \( x^2 + y^2 = 8 \)
D. \( x^2 + y^2 = 2 \)
Question 2
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.
A. 4
B. 6
C. 8
D. 10
Question 3
In the circuit below, find the current flowing through the 2 ohm resistor.
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 4
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 5
A random experiment consists of rolling a fair six-sided die. Let ( X ) be the random variable representing the outcome. Find the probability that ( X ) is an even number.
A. \frac{1}{2}
B. \frac{2}{3}
C. \frac{3}{4}
D. \frac{4}{5}
Question 6
Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).
A. 5
B. 6
C. 7
D. 8
Question 7
A solid cylinder has a height of ( 10 ) cm and a radius of ( 4 ) cm. Find its volume.
A. \( pi \times 4^2 \times 10 \)
B. \( 2 \times pi \times 4^2 \times 10 \)
C. \( pi \times 4^2 \times 10 + 2 \times pi \times 4^2 \)
D. \( pi \times 4^2 \times 10 + 2 \times pi \times 4^2 \times 10 \)
Question 8
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the volume.
A. 72 cm^3
B. 48 cm^3
C. 24 cm^3
D. 36 cm^3
Question 9
Solve for x: \log_{10}\( x^2 \) = 4.
A. \pm 2
B. \pm 4
C. \pm 8
D. \pm 16
Question 10
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 11
Find the volume of the frustum of a cone with height 8 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 64\pi\text{ cm}^3
B. 128\pi\text{ cm}^3
C. 192\pi\text{ cm}^3
D. 256\pi\text{ cm}^3
Question 12
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \)
B. ( 3 )
C. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 + \frac{1}{2} \)
Question 13
Let ( f(x) = x^3 - 6x^2 + 11x + 2 ) and ( g(x) = x^2 - 4x + 3 ). Find the derivative of the product ( f(x)g(x) ) u\sing the product rule.
A. 3x^2 - 12x + 11
B. x^2 - 4x + 3
C. 3x^2 - 12x + 11 + x^2 - 4x + 3
D. x^2 - 4x + 3 - 3x^2 + 12x - 11
Question 14
Two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.4 ) and ( P(B) = 0.6 ), find ( P(A cap B) ).
A. \( 0.4 \times 0.6 \)
B. \( 0.4 + 0.6 \)
C. \( 0.4 \times 0.6 + 0.4 \)
D. \( 0.4 \times 0.6 + 0.6 \)
Question 15
A set ( A ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( A ) that contain exactly two elements.
A. 10
B. 15
C. 20
D. 25

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