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POST UTME ELIZADE UNIVERSITY 2021 Mathematics | Objective

Are you preparing for POST UTME ELIZADE 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 value of $\int_{0}^{\pi} \frac{1}{1+\sin^2 x} dx$.

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

B. \frac{\pi}{4}

C. \frac{\pi}{3}

D. \frac{\pi}{6}

Correct Answer: A

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Question 2

Solve the inequality $|x-2| \geq 3$.

Correct A. $x \leq -1$ or $x \geq 5$

B. $x \leq 1$ or $x \geq 5$

C. $x \leq -1$ or $x \geq 2$

D. $x \leq 1$ or $x \geq 2$

Correct Answer: A

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Question 3

A histogram of exam scores for a class of 50 students is shown below. Find the mean score.

A. 40

B. 45

Correct C. 50

D. 55

Correct Answer: C

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Question 4

Find the area of the region bounded by the curves $y = x^2$ and $y = 4 - x^2$.

A. 16\pi

B. 32\pi

Correct C. 48\pi

D. 64\pi

Correct Answer: C

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Question 5

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

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

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

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

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

Correct Answer: A

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Question 6

Solve for $x$: [ \sin^2 x + \cos^2 x = 1 ] and [ \tan^2 x + 1 = sec^2 x ].

Correct A. \frac{\pi}{4}

B. \frac{\pi}{2}

C. \frac{3\pi}{4}

D. \frac{\pi}{6}

Correct Answer: A

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Question 7

Find the value of $k$ such that the lines $2x + 3y = 7$ and $kx - 2y = 5$ are parallel.

Correct A. -\frac{14}{5}

B. -\frac{7}{5}

C. \frac{7}{5}

D. \frac{14}{5}

Correct Answer: A

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Question 8

If $f(x) = \frac{1}{x^2 + 1}$, find $f'(x)$ 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 9

A circle with center $C$ and radius $r$ passes through the points $A$ and $B$. If $\angle ACB = 60^\circ$, find the measure of $\angle AOB$.

A. 30^\circ

Correct B. 60^\circ

C. 90^\circ

D. 120^\circ

Correct Answer: B

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Question 10

Two events $A$ and $B$ are indep\endent. If $P(A) = \frac{1}{4}$ and $P(B) = \frac{1}{3}$, find $P$ A \cap B $$.

Correct A. \frac{1}{12}

B. \frac{1}{6}

C. \frac{1}{4}

D. \frac{1}{3}

Correct Answer: A

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Question 11

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

A. f'(x) = \frac{-x}{$ x^2 + 1 $^{3/2}}

Correct B. f'(x) = \frac{x}{$ x^2 + 1 $^{3/2}}

C. f'(x) = \frac{1}{$ x^2 + 1 $^{3/2}}

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

Correct Answer: B

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Question 12

Solve the inequality $ 2^x > 5 $.

Correct A. x > \log_2(5)

B. x < \log_2(5)

C. x > \log_2(5)

D. x < \log_2(5)

Correct Answer: A

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Question 13

Find the area under the curve $ y = x^2 + 1 $ from $ x = 0 $ to $ x = 2 $.

A. \frac{7}{3}

Correct B. \frac{11}{3}

C. \frac{13}{3}

D. \frac{17}{3}

Correct Answer: B

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Question 14

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 15

Solve the system of equations $ x + y = 4 $ and $ x - y = 2 $.

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 16

Find the value of ( x ) in the equation $ 2^x = 32 $.

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 17

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = 3x - 2

D. y = 3x + 2

Correct Answer: A

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Question 18

Solve the inequality $ x^2 - 4x + 4 > 0 $.

A. x < 2

Correct B. x > 2

C. x < 1

D. x > 1

Correct Answer: B

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Question 19

Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).

A. 3

B. 4

C. 5

D. 6

Correct Answer: VIEW ANSWER

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Question 20

Solve for x in the equation $ 2x^2 + 5x - 3 = 0 $.

Correct A. $ x = -3 $

B. $ x = 1 $

C. $ x = -1 $

D. $ x = 3 $

Correct Answer: A

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Question 21

Find the determinant of the matrix $ egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} $.

Correct A. ( 1 )

B. $ -1 $

C. ( 0 )

D. ( 2 )

Correct Answer: A

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Question 22

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

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

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

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

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

Correct Answer: B

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Question 23

Find the probability of drawing two aces from a s\tandard deck of 52 cards.

A. $ \frac{1}{52} $

Correct B. $ \frac{1}{26} $

C. $ \frac{1}{4} $

D. $ \frac{1}{2} $

Correct Answer: B

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Question 24

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

Correct A. $ x = -2 $

B. $ x = -1 $

C. $ x = 1 $

D. $ x = 2 $

Correct Answer: A

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Question 25

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

A. $ x = 10 $

Correct B. $ x = 100 $

C. $ x = 1000 $

D. $ x = 10000 $

Correct Answer: B

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