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POST UTME IGBINEDION UNIVERSITY 2024 Mathematics | Objective

Are you preparing for POST UTME IGBINEDION UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the value of \( int_{0}^{1} \frac{1}{x^2 + 1} dx \).

Correct A. \frac{\pi}{2}

B. \frac{\pi}{4}

C. \frac{\pi}{6}

D. \frac{\pi}{8}

Correct Answer: A

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Question 2

Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).

Correct A. \frac{-5 \pm \sqrt{109}}{4}

B. \frac{-5 \pm \sqrt{25}}{4}

C. \frac{-5 \pm \sqrt{9}}{4}

D. \frac{-5 \pm \sqrt{1}}{4}

Correct Answer: A

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Question 3

Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).

Correct A. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16

B. \left\( x - 3 \right \)^2 + \left\( y - 2 \right \)^2 = 16

C. \left\( x - 4 \right \)^2 + \left\( y - 5 \right \)^2 = 16

D. \left\( x - 5 \right \)^2 + \left\( y - 4 \right \)^2 = 16

Correct Answer: A

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Question 4

Find the derivative of ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

Correct 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}

Correct Answer: A

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Question 5

Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 6

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3/4.

A. 2.9375

Correct B. 3.0625

C. 3.125

D. 3.1875

Correct Answer: B

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Question 7

Solve the inequality \frac{x-2}{x+1}>0.

A. \( -1, 2 \)

Correct B. \( -1, \infty \) \cup \( 2, \infty \)

C. \( -1, \infty \) \cup \( -\infty, 2 \)

D. \( -1, 2 \)

Correct Answer: B

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Question 8

Find the equation of the circle with center \( -2, 3 \) and radius 4.

Correct A. \left\( x+2\right \)^2 + \left\( y-3\right \)^2 = 16

B. \left\( x-2\right \)^2 + \left\( y+3\right \)^2 = 16

C. \left\( x+2\right \)^2 + \left\( y+3\right \)^2 = 16

D. \left\( x-2\right \)^2 + \left\( y-3\right \)^2 = 16

Correct Answer: A

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Question 9

Solve the system of equations \begin{align*} x+y+z&=3, \ x+2y+3z&=6, \ x+3y+6z&=12. \end{align*}

Correct A. \begin{align*} x&=1, \ y&=1, \ z&=1. \end{align*}

B. \begin{align*} x&=2, \ y&=1, \ z&=0. \end{align*}

C. \begin{align*} x&=3, \ y&=0, \ z&=0. \end{align*}

D. \begin{align*} x&=0, \ y&=0, \ z&=0. \end{align*}

Correct Answer: A

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Question 10

Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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Question 11

Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).

A. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 )

B. \( \frac{1}{2}\( 0^2 \ \) + 3(0) - 2 )

Correct C. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 + \frac{1}{2}\( 4^2 \) + 3(4) - 2 )

D. \( \frac{1}{2}\( 4^2 \ \) + 3(4) - 2 + \frac{1}{2}\( 0^2 \) + 3(0) - 2 )

Correct Answer: C

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Question 12

Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).

Correct A. \( x = 10^4 \)

B. \( x = 10^{-4} \)

C. \( x = 10^2 \)

D. \( x = 10^{-2} \)

Correct Answer: A

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Question 13

Find the volume of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = x \) about the x-axis.

A. \( \frac{1}{3} pi \)

B. \( \frac{1}{2} pi \)

Correct C. \( \frac{2}{3} pi \)

D. \( \frac{1}{4} pi \)

Correct Answer: C

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Question 14

Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).

Correct A. ( 0 )

B. ( 1 )

C. \( -1 \)

D. ( 2 )

Correct Answer: A

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Question 15

Find the surface area of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = x \) about the x-axis.

A. ( 2 pi )

B. ( 4 pi )

Correct C. ( 6 pi )

D. ( 8 pi )

Correct Answer: C

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Question 16

Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 17

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

Correct A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, -3 \) ∪ (1, ∞)

C. \( -∞, 1 \) ∪ (3, ∞)

D. \( -∞, -3 \) ∪ (1, ∞)

Correct Answer: A

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Question 18

Find the equation of the circle with center (2, 3) and radius 4.

Correct 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

Correct Answer: A

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Question 19

A binary operation * is defined as \( a * b = ab + 2 \). Find the value of \( 2 * 3 \).

A. 8

Correct B. 10

C. 12

D. 14

Correct Answer: B

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Question 20

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).

Correct A. \( -2, 0 \)

B. \( -1, 0 \)

C. \( 0, -2 \)

D. \( 0, -1 \)

Correct Answer: A

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Question 21

Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 22

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

Correct A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, -3 \) ∪ (1, ∞)

C. \( -∞, 1 \) ∪ (3, ∞)

D. \( -∞, -3 \) ∪ (1, ∞)

Correct Answer: A

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Question 23

Find the equation of the line pas\sing through the points (2, 3) and (4, 5).

Correct A. y = x + 1

B. y = x - 1

C. y = -x + 1

D. y = x + 2

Correct Answer: A

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Question 24

A set A contains 5 elements. If 3 elements are randomly selected from set A, what is the probability that the selected elements are all distinct?

Correct A. 1/10

B. 1/5

C. 1/2

D. 3/5

Correct Answer: A

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Question 25

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 59048

B. 59049

C. 59050

D. 59051

Correct Answer: A

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