POST UTME OAU 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. Find the volume of the prism in cubic centimeters.
A. 30
B. 30
C. 30
D. 30
Question 2
A circle has a radius of 4 cm. Find the circumference of the circle in centimeters.
A. 25.13
B. 25.13
C. 25.13
D. 25.13
Question 3
A rec\tangular box has dimensions 5 cm, 8 cm, and 3 cm. Find the surface area of the box.
A. \( 2\( 5 \times 8 + 8 \times 3 + 3 \times 5 \ \) )
B. \( 2\( 5 \times 8 + 8 \times 3 + 3 \times 5 \ \) + 2\( 5 \times 3 + 8 \times 3 + 5 \times 8 \) )
C. \( 2\( 5 \times 8 + 8 \times 3 + 3 \times 5 \ \) + 2\( 5 \times 3 + 8 \times 3 + 5 \times 8 \) + 2\( 5 \times 8 + 5 \times 3 + 8 \times 3 \) )
D. \( 2\( 5 \times 8 + 8 \times 3 + 3 \times 5 \ \) + 2\( 5 \times 3 + 8 \times 3 + 5 \times 8 \) + 2\( 5 \times 8 + 5 \times 3 + 8 \times 3 \) + 2\( 5 \times 5 + 8 \times 8 + 3 \times 3 \) )
Question 4
A vector ( mathbf{a} ) has magnitude ( 5 ) and direction \( 30^circ \) counterclockwise from the positive x-axis. Find the vector ( mathbf{a} ) in component form.
A. \( egin{pmatrix} 4 \ 2.5 \end{pmatrix} \)
B. \( egin{pmatrix} 2.5 \ 4 \end{pmatrix} \)
C. \( egin{pmatrix} 3 \ 4 \end{pmatrix} \)
D. \( egin{pmatrix} 4 \ 3 \end{pmatrix} \)
Question 5
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 3 \) with initial term \( a_1 = 2 \). Find the value of \( a_{10} \).
A. 1023
B. 1024
C. 1025
D. 1026
Question 6
Find the derivative of the function \( f(x) = \frac{1}{x^2 + 1} \) u\sing the chain rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-x}{\( x^2 + 1 \)^2}
D. \frac{x}{\( x^2 + 1 \)^2}
Question 7
A circle has a radius of 4 cm. What is the area of the circle?
A. 16π
B. 32π
C. 64π
D. 128π
Question 8
A random experiment has two indep\endent events A and B. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events A and B occur?
A. 0.24
B. 0.48
C. 0.64
D. 0.76
Question 9
Solve the inequality \( x^2 - 4x - 5 > 0 \).
A. \( x < -1 \) or \( x > 5 \)
B. \( x < 1 \) or \( x > 5 \)
C. \( x < -1 \) or \( x < 5 \)
D. \( x > -1 \) or \( x < 5 \)
Question 10
Find the area under the curve of the function ( f(x) = \frac{1}{x^2} ) from \( x = 1 \) to \( x = 2 \).
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 11
Find the volume of the frustum of a cone with radii 6 cm and 4 cm and height 10 cm.
A. 120π cm³
B. 150π cm³
C. 180π cm³
D. 200π cm³
Question 12
The mean of a set of numbers is 25, and the s\tandard deviation is 5. What is the range of the set?
A. 10
B. 20
C. 30
D. 40
Question 13
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 7
C. 8
D. 9
Question 14
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. \( -\frac{2x}{\( x^2 + 1 \ \)^2} )
B. \( \frac{2x}{\( x^2 + 1 \ \)^2} )
C. \( -\frac{2}{\( x^2 + 1 \ \)^2} )
D. \( \frac{2}{\( x^2 + 1 \ \)^2} )
Question 15
Find the value of x in the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -1
C. 1
D. 2

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