POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.
A. 256\pi cm^3
B. 512\pi cm^3
C. 768\pi cm^3
D. 1024\pi cm^3
Question 2
In a circle of radius 5 cm, a chord of length 8 cm subt\ends an angle of 60° at the centre. Find the area of the sector.
A. 20π cm²
B. 30π cm²
C. 40π cm²
D. 50π cm²
Question 3
Find the derivative of the function f(x) = \frac{x^2}{x^2 + 1} u\sing the chain rule.
A. \frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x^3}{\( x^2 + 1 \)^2}
C. \frac{2x^2}{\( x^2 + 1 \)^2}
D. \frac{2x^3 + 2x}{\( x^2 + 1 \)^2}
Question 4
Solve the system of equations u\sing substitution: x + y = 4 and x - y = 2.
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 5
A function ( f(x) = x^2 + 2x - 3 ) is given. Find the derivative of the function.
A. 2x + 2
B. x^2 + 2
C. 2x - 2
D. x^2 - 2
Question 6
Solve for x in the equation \log_{10} \( x^2 \) = 4.
A. 10
B. 100
C. 1000
D. 10000
Question 7
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 3
Question 8
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 15
B. 25
C. 35
D. 45
Question 9
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \) u\sing integration.
A. 64
B. 80
C. 96
D. 112
Question 10
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find the volume of the cylinder.
A. 800\pi
B. 1000\pi
C. 1200\pi
D. 1600\pi
Question 11
A circle of radius 4 cm is inscribed in a square. Find the area of the square.
A. 16π cm²
B. 32π cm²
C. 64π cm²
D. 128π cm²
Question 12
A rec\tangular block measures 5 cm by 3 cm by 2 cm. Find the volume of the block.
A. 30 cm³
B. 40 cm³
C. 50 cm³
D. 60 cm³
Question 13
Solve the inequality \frac{x-1}{x+1} > 0.
A. \( -\infty, -1 \) \cup \( 1, \infty \)
B. \( -\infty, 1 \) \cup \( 1, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 1, \infty \)
Question 14
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 12166
B. 12346
C. 12456
D. 12566
Question 15
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{x}{\( x^2 + 1 \)^2} )

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