Exam Body

Year

Subject

Paper Type

POST UTME ELIZADE UNIVERSITY 2024 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 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. Find the length of the side opposite the 30° angle.

A. 5 cm

Correct B. 7.07 cm

C. 10 cm

D. 15 cm

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve for x in the equation $ 2^x + 2^x = 2^{x+2} $.

A. x = 1

Correct B. x = 2

C. x = 3

D. x = 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A histogram is shown below. What is the mean of the data set?

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

Solve the inequality $ x^2 - 4x + 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A circle has a radius of 5 cm. What is the area of the circle?

A. 25\pi

Correct B. 50\pi

C. 75\pi

D. 100\pi

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

Find the value of $\frac{d}{dx}\left$ \frac{1}{x^2+1}\right $$.

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

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

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

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

Solve the equation $\log_2$ x^2-4 $=3$.

A. 4

B. -2

Correct C. 2

D. -4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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=16

C. $ x+2 $^2+$ y+3 $^2=16

D. $ x-2 $^2+$ y-3 $^2=16

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

Solve the 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

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

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

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

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

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Solve the inequality $ \frac{x}{x-2} > 0 $ for ( x in mathbb{R} setminus {2} ).

Correct A. $ -∞, 2 $ ∪ (2, ∞)

B. $ -∞, 0 $ ∪ (2, ∞)

C. $ -∞, 2 $ ∪ (2, ∞)

D. (0, 2) ∪ (2, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

Find the value of ( k ) such that the quadratic equation $ x^2 + kx + 16 = 0 $ has equal roots.

A. 4

Correct B. -4

C. 8

D. -8

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

Solve the system of equations $ egin{cases} x + y = 4 \ 2x - y = 3 \end{cases} $.

Correct A. {(1, 3), (2, 2)}

B. {(1, 3), (3, 1)}

C. {(2, 2), (3, 1)}

D. {(1, 3), (2, 2)}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

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

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A binary operation ( odot ) on the set ( mathbb{R} ) is defined as $ x odot y = xy + 1 $. Find the value of ( x odot (x odot x) ).

Correct A. x^3 + 2x^2 + x

B. x^3 + x^2 + 1

C. x^3 + 2x^2 + 2

D. x^3 + x^2 + 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

Find the volume of the solid formed by rotating the region bounded by the curves y = 2x^2 and y = 4x about the x-axis.

A. 64\pi

B. 128\pi

Correct C. 256\pi

D. 512\pi

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

Solve the equation $\log_2 \( x^2 + 1 $ - \log_2 $ x + 1 $ = 1\).

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

In the diagram below, ABCD is a rec\tangle with AB = 6 cm and BC = 8 cm. Find the area of triangle ABE.

A. 24

B. 30

Correct C. 36

D. 40

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is not blue?

A. 3/12

B. 5/12

Correct C. 7/12

D. 9/12

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

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 = 25

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

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

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

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

A. 10

B. 12

Correct C. 14

D. 16

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

Solve for ( x ) in the equation $ 2^x + 3^x = 5^x $.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

Find the sum of the infinite geometric series $ 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots $.

A. 2

Correct B. 4

C. 8

D. 16

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

Find the value of ( x ) in the equation $ 2x^2 + 5x - 3 = 0 $.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support