POST UTME BELLS UNIVERSITY 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. 16
B. 32
C. 64
D. 128
Question 2
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
A. 30
B. 60
C. 90
D. 120
Question 3
A polynomial function has a degree of 3 and a leading coefficient of 2. If the function has a root at x = -1, find the function.
A. f(x) = 2\( x + 1 \)\( x - 2 \)\( x + 3 \)
B. f(x) = 2\( x + 1 \)\( x - 2 \)\( x - 3 \)
C. f(x) = 2\( x + 1 \)\( x + 2 \)\( x - 3 \)
D. f(x) = 2\( x - 1 \)\( x + 2 \)\( x - 3 \)
Question 4
Determine the mean and s\tandard deviation of the following dataset: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A. Mean = 5.5, S\tandard Deviation = 2.89
B. Mean = 5.5, S\tandard Deviation = 3.16
C. Mean = 5.5, S\tandard Deviation = 2.45
D. Mean = 5.5, S\tandard Deviation = 3.92
Question 5
A polynomial $p(x)$ has degree 4 and has roots $-2, 0, 3,$ and $-1$. What is the sum of the coefficients of the terms of $p(x)$?
A. 16
B. 20
C. 24
D. 28
Question 6
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. x = 10
B. x = 100
C. x = 1000
D. x = 10000
Question 7
A matrix $A$ is given by [ A = egin{bmatrix} 2 & 1 \ 4 & 3 \end{bmatrix} ]. What is the determinant of $A$?
A. 1
B. 2
C. 3
D. 4
Question 8
A sequence is defined recursively by $a_n = 3a_{n-1} + 2$ for $n geq 2$, with initial term $a_1 = 1$. What is the sum of the first 5 terms of the sequence?
A. 35
B. 45
C. 55
D. 65
Question 9
In a set of 20 consecutive integers, the mean is 35 and the median is 30. What is the sum of the mode and the range?
A. 650
B. 750
C. 850
D. 950
Question 10
A set of 10 data points has a mean of 20 and a s\tandard deviation of 5. What is the sum of the squares of the deviations from the mean?
A. 1000
B. 2000
C. 3000
D. 4000

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