POST UTME SUMMIT UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{pmatrix} ].
A. 20
B. 22
C. 24
D. 26
Question 2
Find the value of \log_{10} (1000).
A. 3
B. 3
C. 3
D. 3
Question 3
A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?
A. 200
B. 250
C. 300
D. 350
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 14
D. 16
Question 5
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 32
B. 64
C. 96
D. 128
Question 6
A circle has a diameter of 10 cm. Find the area of the circle in terms of π.
A. 25\pi\text{ cm}^2
B. 50\pi\text{ cm}^2
C. 75\pi\text{ cm}^2
D. 100\pi\text{ cm}^2
Question 7
Find the volume of the solid formed by revolving the region bounded by the curves $y = x^2$ and $y = 4 - x^2$ about the x-axis.
A. \frac{16\pi}{3}
B. \frac{32\pi}{3}
C. \frac{64\pi}{3}
D. \frac{128\pi}{3}
Question 8
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \).
A. \left\( -\infty, -\frac{3}{2} \right \) \cup \left\( \frac{3}{2}, \infty \right \)
B. \left\( -\infty, -\frac{3}{2} \right \) \cap \left\( \frac{3}{2}, \infty \right \)
C. \left\( -\infty, -\frac{3}{2} \right \) \cup \left\( -\frac{3}{2}, \frac{3}{2} \right \)
D. \left\( -\infty, -\frac{3}{2} \right \) \cap \left\( -\frac{3}{2}, \frac{3}{2} \right \)
Question 9
Solve the equation $\frac{1}{x + 1} + \frac{1}{x - 1} = \frac{2}{x}$.
A. x = 2
B. x = -2
C. x = 1
D. x = -1
Question 10
A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are red?
A. 1/4
B. 1/2
C. 3/4
D. 2/3
Question 11
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. y = 2x - 1
B. y = 2x + 1
C. y = x - 1
D. y = x + 1
Question 12
A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. 1/6
B. 1/12
C. 1/36
D. 1/18
Question 13
A binary operation ( ast ) is defined as \( a ast b = a^2 + b^2 \). Find ( 2 ast 3 ).
A. 13
B. 14
C. 15
D. 16
Question 14
Find the volume of a rec\tangular prism with length 5 cm, width 3 cm, and height 2 cm.
A. 30
B. 30
C. 30
D. 30
Question 15
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 4.
A. 56
B. 56
C. 56
D. 56

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