POST UTME EKSU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
C. 80
D. 90
Question 2
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 32
B. 64
C. 96
D. 128
Question 3
Find the magnitude of the vector \( vec{a} = 2hat{i} + 3hat{j} \).
A. 5
B. 10
C. 15
D. 20
Question 4
In a binary system, what is the value of the number represented by the sequence 1011?
A. 3
B. 5
C. 7
D. 9
Question 5
Find the area of the triangle with vertices (1, 2), (3, 4), and (5, 6).
A. 10
B. 20
C. 30
D. 40
Question 6
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 7
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 32
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 64
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 128
Question 8
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
B. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
C. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
D. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
Question 9
Solve the equation [ x^3 - 6x^2 + 11x - 6 = 0 ].
A. \( x = 1 \)
B. \( x = 2 \)
C. \( x = 3 \)
D. \( x = 4 \)
Question 10
A histogram is constructed with the following data: 2, 4, 6, 8, 10, 12, 14, 16. What is the mean of the data?
A. 7
B. 8
C. 9
D. 10
Question 11
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = x - 1
D. y = x + 1
Question 12
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )
C. \( x + 3 \ \)^2 + \( y - 2 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y + 2 \)^2 = 16 )
Question 13
Find the derivative of the function ( f(x) = \frac{x^2}{x+1} ) u\sing the quotient rule.
A. \frac{2x}{\( x+1 \)^2}
B. \frac{2x+2}{\( x+1 \)^2}
C. \frac{2x\( x+1 \)-x^2}{\( x+1 \)^2}
D. \frac{2x\( x+1 \)+x^2}{\( x+1 \)^2}
Question 14
Find the equation of the circle with center at ((2,3)) and pas\sing through the point ((6,8)).
A. \( x-2 \ \)^2 + \( y-3 \)^2 = 25 )
B. \( x-2 \ \)^2 + \( y-3 \)^2 = 36 )
C. \( x-2 \ \)^2 + \( y-3 \)^2 = 49 )
D. \( x-2 \ \)^2 + \( y-3 \)^2 = 64 )
Question 15
A sequence is defined recursively as \( a_n = 2a_{n-1} + 1 \), with \( a_1 = 3 \). Find the sum of the first 5 terms of the sequence.
A. \( 3 + 7 + 15 + 31 + 63 = 119 \)
B. \( 3 + 7 + 15 + 31 + 63 = 119 \)
C. \( 3 + 7 + 15 + 31 + 63 = 119 \)
D. \( 3 + 7 + 15 + 31 + 63 = 119 \)

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