POST UTME UNN 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
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 4
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. What is the probability that a randomly selected score is between 60 and 80?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 5
A \fraction is represented as \( \frac{1}{2} \). What is its decimal equivalent?
A. 0.5
B. 0.25
C. 0.75
D. 1.0
Question 6
A histogram of exam scores is shown below. What is the mean score?
A. 40
B. 50
C. 60
D. 70
Question 7
If the vectors [ \mathbf{a} = egin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix} \] and [ \mathbf{b} = egin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix} \], find the projection of [ \mathbf{a} \] onto [ \mathbf{b} \].
A. \begin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix}
B. \begin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix}
C. \begin{pmatrix} 0 \ 0 \ 0 \ 0 \end{pmatrix}
D. \begin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix} + \begin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix}
Question 8
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 9
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 1 \) ∪ (3, ∞)
Question 10
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = \frac{4 - 2}{3 - 1}x + \frac{2 - 4}{3 - 1} \)
B. \( y = \frac{2 - 4}{3 - 1}x + \frac{4 - 2}{3 - 1} \)
C. \( y = \frac{4 - 2}{3 - 1}x - \frac{2 - 4}{3 - 1} \)
D. \( y = \frac{2 - 4}{3 - 1}x - \frac{4 - 2}{3 - 1} \)
Question 11
In the diagram below, the volume of the rec\tangular prism is 240 cubic units. If the length is tripled and the width is doubled, what is the new volume?
A. 720
B. 480
C. 360
D. 240
Question 12
A particle moves in a plane with position vector \mathbf{r}(t) = \langle 2t, 3t^2 \rangle. Find the velocity vector at time t = 2.
A. \langle 2, 12 \rangle
B. \langle 4, 6 \rangle
C. \langle 6, 12 \rangle
D. \langle 8, 18 \rangle
Question 13
A histogram of exam scores is shown below. What is the median score?
A. 60
B. 70
C. 80
D. 90
Question 14
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 16
B. 32
C. 64
D. 128
Question 15
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

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