POST UTME UNN 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
A. 30
B. 40
C. 50
D. 60
Question 2
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 )
D. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )
Question 3
Simplify the expression \( \frac{\sqrt{2}}{\sqrt{3}} \div \frac{\sqrt{3}}{\sqrt{2}} \).
A. 1
B. \frac{\sqrt{2}}{\sqrt{3}}
C. \frac{\sqrt{3}}{\sqrt{2}}
D. \frac{2}{3}
Question 4
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the surface area of the prism?
A. 88
B. 90
C. 92
D. 94
Question 5
If [ x^2 + 4x + 4 = 0 \], find the value of [ x \].
A. -2
B. -1
C. 1
D. 2
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 7
A curve is defined by the equation \( y = x^2 + 2x - 6 \). Find the equation of the \tangent line to the curve at the point where x = 1.
A. y = 2x - 3
B. y = 2x + 3
C. y = x^2 + 2x - 5
D. y = x^2 + 2x - 7
Question 8
Evaluate the definite integral \( \int_{0}^{1} x^2 \sin\( x \ \) dx ).
A. \left[ -x^2 \cos(x) + 2 \int x \cos(x) dx \right]_{0}^{1}
B. \left[ -x^2 \cos(x) + 2 \int \cos(x) dx \right]_{0}^{1}
C. \left[ -x^2 \cos(x) + 2 \int x \sin(x) dx \right]_{0}^{1}
D. \left[ -x^2 \cos(x) + 2 \int \cos(x) dx \right]_{0}^{1}
Question 9
A right circular cone has a height of 10 cm and a base radius of 5 cm. Find the volume of the cone.
A. 250\pi
B. 500\pi
C. 750\pi
D. 1000\pi
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 sum of the first [ 10 \] terms of the geometric progression [ 2, 6, 18, \ldots \].
A. 1048576
B. 2097152
C. 4194304
D. 8388608
Question 12
The mean of a set of 5 numbers is 12. If one of the numbers is 15, find the sum of the remaining 4 numbers.
A. 45
B. 48
C. 51
D. 54
Question 13
A right triangle has a base of 5 cm and a height of 12 cm. Find the length of the hypotenuse.
A. 13 cm
B. 14 cm
C. 15 cm
D. 16 cm
Question 14
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar having a height of 8, the second bar having a height of 12, the third bar having a height of 15, the fourth bar having a height of 10, and the fifth bar having a height of 5. What is the mean score of the class?
A. 10
B. 12
C. 15
D. 18
Question 15
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. -120
B. 120
C. 0
D. -60

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