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POST UTME IGBINEDION UNIVERSITY 2021 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 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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

Correct A. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 $

B. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 $

C. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 $

D. $ \frac{1}{2} \times 4^3 + 3 \times 4 - 2 \times 4 $

Correct Answer: A

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Question 2

Find the derivative of $ y = \frac{1}{x^2 + 1} $ u\sing the chain rule.

A. $ -\frac{2x}{\( x^2 + 1 \ $^2} )

Correct B. $ \frac{2x}{\( x^2 + 1 \ $^2} )

C. $ -\frac{2}{\( x^2 + 1 \ $^2} )

D. $ \frac{2}{\( x^2 + 1 \ $^2} )

Correct Answer: B

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Question 3

Solve the equation $ 2x^2 + 3x - 1 = 0 $ u\sing the quadratic formula.

Correct A. $ x = \frac{-3 pm \sqrt{9 + 8}}{4} $

B. $ x = \frac{-3 pm \sqrt{9 - 8}}{4} $

C. $ x = \frac{-3 pm \sqrt{9 + 4}}{4} $

D. $ x = \frac{-3 pm \sqrt{9 - 4}}{4} $

Correct Answer: A

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Question 4

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

Correct A. $ x - 2 \ $^2 + $ y - 3 $^2 = 16 )

B. $ x - 2 \ $^2 + $ y - 3 $^2 = 4 )

C. $ x - 3 \ $^2 + $ y - 2 $^2 = 16 )

D. $ x - 3 \ $^2 + $ y - 2 $^2 = 4 )

Correct Answer: A

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Question 5

Solve the inequality $ 2x^2 - 3x + 1 > 0 $.

Correct A. $ x < -\frac{1}{2} $ or $ x > \frac{1}{2} $

B. $ x < -\frac{1}{2} $ or $ x < \frac{1}{2} $

C. $ x > -\frac{1}{2} $ or $ x > \frac{1}{2} $

D. $ x > -\frac{1}{2} $ or $ x < \frac{1}{2} $

Correct Answer: A

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Question 6

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

A. $ 16 + 24 - 8 = 32 $

B. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 10 $

Correct C. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 16 $

D. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 24 $

Correct Answer: C

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Question 7

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. $ x < -1 $ or $ x > \frac{3}{2} $

B. $ x < -1 $ or $ x < \frac{3}{2} $

C. $ x > -1 $ or $ x < \frac{3}{2} $

D. $ x < -1 $ or $ x > \frac{3}{2} $

Correct Answer: A

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Question 8

Find the mean of the data set ( 2, 4, 6, 8, 10 ).

Correct A. ( 6 )

B. ( 8 )

C. ( 10 )

D. ( 12 )

Correct Answer: A

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Question 9

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. $ -1 $

D. ( 2 )

Correct Answer: A

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Question 10

Solve the trigonometric equation $ \sin^2 x + \cos^2 x = 1 \ $.

A. $ x = \frac{\pi}{2} \ $

Correct B. $ x = \frac{\pi}{4} \ $

C. $ x = \frac{3\pi}{4} \ $

D. $ x = \frac{5\pi}{4} \ $

Correct Answer: B

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Question 11

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

Correct A. ( 6 )

B. ( 12 )

C. ( 18 )

D. ( 24 )

Correct Answer: A

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Question 12

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

Correct A. $ x - 2 \ $^2 + $ y - 3 $^2 = 16 )

B. $ x - 2 \ $^2 + $ y - 3 $^2 = 25 )

C. $ x - 2 \ $^2 + $ y - 3 $^2 = 36 )

D. $ x - 2 \ $^2 + $ y - 3 $^2 = 49 )

Correct Answer: A

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Question 13

Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).

A. $ y = \frac{4 - 2}{3 - 1} \( x - 1 \ $ + 2 )

B. $ y = \frac{4 - 2}{3 - 1} \( x - 1 \ $ + 4 )

C. $ y = \frac{4 - 2}{3 - 1} \( x - 1 \ $ + 6 )

D. $ y = \frac{4 - 2}{3 - 1} \( x - 1 \ $ + 8 )

Correct Answer: VIEW ANSWER

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Question 14

Find the value of $x$ in the equation $2^x + 5^x = 3^x$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 15

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

Correct A. x<-1

B. x>-1

C. x<1

D. x>1

Correct Answer: A

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Question 16

Find the derivative of the function $f(x) = \frac{1}{x^2+1}$.

Correct 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}

Correct Answer: A

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Question 17

Solve the system of equations $\begin{cases} x+y=4 \ x-y=2 \end{cases}$.

Correct A. x=3, y=1

B. x=1, y=3

C. x=2, y=2

D. x=4, y=0

Correct Answer: A

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Question 18

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. -1

D. 2

Correct Answer: A

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Question 19

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

Correct A. $ \frac{-x}{\( 1 - x^2 \ $^{3/2}} )

B. $ \frac{x}{\( 1 - x^2 \ $^{3/2}} )

C. $ \frac{1}{\( 1 - x^2 \ $^{3/2}} )

D. $ \frac{-1}{\( 1 - x^2 \ $^{3/2}} )

Correct Answer: A

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Question 20

Solve the inequality $ 2x^2 - 5x - 3 > 0 $.

Correct A. $ x < -1 $ or $ x > 3 $

B. $ x < 1 $ or $ x > 3 $

C. $ x < -1 $ or $ x < 3 $

D. $ x > 1 $ or $ x > 3 $

Correct Answer: A

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Question 21

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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Question 22

Solve the system of equations u\sing matrices: $ egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} $.

Correct A. $ x = 1, y = 2 $

B. $ x = 2, y = 1 $

C. $ x = 3, y = 4 $

D. $ x = 4, y = 3 $

Correct Answer: A

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Question 23

Find the determinant of the matrix $ egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} $.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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Question 24

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

Correct A. $ -\frac{2}{x^3} $

B. $ \frac{2}{x^3} $

C. $ -\frac{1}{x^3} $

D. $ \frac{1}{x^3} $

Correct Answer: A

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Question 25

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $.

Correct A. $ x = -2 $

B. $ x = 2 $

C. $ x = -1 $

D. $ x = 1 $

Correct Answer: A

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