POST UTME KSU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 21.33
B. 26.67
C. 32
D. 64
Question 2
A vector \( vec{a} = egin{pmatrix} 2 \ 3 \ 1 \end{pmatrix} \) is given. Find the magnitude of the vector.
A. \( |vec{a}| = 4 \)
B. \( |vec{a}| = 5 \)
C. \( |vec{a}| = 6 \)
D. \( |vec{a}| = 7 \)
Question 3
In a binary system, what is the value of the number 1011 in decimal?
A. 11
B. 13
C. 15
D. 17
Question 4
A polynomial function is defined as f(x) = 2x^2 + 3x - 1. Find the value of f\( -2 \).
A. -7
B. -5
C. 1
D. 5
Question 5
Find the sum of the first 10 terms of the geometric sequence with first term \( a = 2 \) and common ratio \( r = 3 \).
A. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366
B. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294 + 1062882
Question 6
A circle has a radius of 4 units. What is the area of the circle?
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 7
A histogram is a graphical representation of a frequency distribution. What is the shape of a histogram that represents the distribution of exam scores?
A. Symmetric
B. Skewed
C. Bell-shaped
D. Uniform
Question 8
A circle has a radius of 4 cm. Find the area of the circle.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 9
Solve the equation \( x^2 - 6x + 8 = 0 \).
A. x = 2, x = 4
B. x = 1, x = 7
C. x = 3, x = 5
D. x = 2, x = 6
Question 10
Solve for x in the equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 7 \ 11 \end{bmatrix} \).
A. 3
B. 4
C. 5
D. 6
Question 11
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 6 & 7 & 3 \end{bmatrix} \).
A. -1
B. 1
C. 2
D. 3
Question 12
A function f(x) = 2x^2 + 3x - 1 is given. Find the derivative of the function u\sing the chain rule.
A. ( f'(x) = 4x + 3 )
B. ( f'(x) = 2x^2 + 3 )
C. ( f'(x) = 4x + 1 )
D. ( f'(x) = 2x^2 + 1 )
Question 13
A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, and P\( X = 3 \) = 0.3. What is the expected value of X?
A. 1.1
B. 1.3
C. 1.5
D. 1.7
Question 14
Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y).
A. 0.24
B. 0.36
C. 0.48
D. 0.64
Question 15
Solve the equation \( x^2 + 5x + 6 = 0 \).
A. x = -2, x = -3
B. x = 2, x = 3
C. x = -1, x = -6
D. x = 1, x = 6

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