Exam Body

Year

Subject

Paper Type

POST UTME EKSU 2018 Mathematics | Objective

Are you preparing for POST UTME EKSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 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. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^3 \)

Correct Answer: A

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

Question 2

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

Correct A. \( x < -\frac{5}{2} \) or \( x > \frac{3}{2} \)

B. \( x < -\frac{3}{2} \) or \( x > \frac{5}{2} \)

C. \( x < -\frac{5}{2} \) or \( x < \frac{3}{2} \)

D. \( x < -\frac{3}{2} \) or \( x < \frac{5}{2} \)

Correct Answer: A

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

Question 3

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

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

Question 4

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

A. \( x = \frac{pi}{2} \)

Correct B. \( x = \frac{pi}{4} \)

C. \( x = \frac{3pi}{4} \)

D. \( x = \frac{5pi}{4} \)

Correct Answer: B

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

Question 5

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

Correct A. \( y = \frac{4}{2}x + \frac{2}{2} \)

B. \( y = \frac{4}{2}x - \frac{2}{2} \)

C. \( y = \frac{2}{2}x + \frac{4}{2} \)

D. \( y = \frac{2}{2}x - \frac{4}{2} \)

Correct Answer: A

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

Question 6

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

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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

Question 7

A set A contains 3 elements. If we select 2 elements at random from set A, what is the probability that the selected elements are not distinct?

A. 1/3

Correct B. 1/2

C. 2/3

D. 3/4

Correct Answer: B

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

Question 8

Find the derivative of the function ( 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{-x}{\( x^2 + 1 \)^2}

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

Correct Answer: A

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

Question 9

A circle with center (0, 0) and radius 5 passes through the point (3, 4). Find the equation of the circle.

Correct A. \( x - 0 \)^2 + \( y - 0 \)^2 = 25

B. \( x - 3 \)^2 + \( y - 4 \)^2 = 25

C. \( x - 0 \)^2 + \( y - 0 \)^2 = 16

D. \( x - 3 \)^2 + \( y - 4 \)^2 = 16

Correct Answer: A

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

Question 10

A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

C. 25

Correct D. 30

Correct Answer: D

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

Question 11

Find the equation of the circle with center at ((2,3)) and radius (5).

Correct A. \( x-2 \ \)^2 + \( y-3 \)^2 = 25 )

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

C. \( x+2 \ \)^2 + \( y-3 \)^2 = 25 )

D. \( x-2 \ \)^2 + \( y+3 \)^2 = 25 )

Correct Answer: A

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

Question 12

Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for (x).

Correct A. \( x = \frac{pi}{4} \)

B. \( x = \frac{3pi}{4} \)

C. \( x = \frac{5pi}{4} \)

D. \( x = \frac{7pi}{4} \)

Correct Answer: A

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

Question 13

Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).

Correct A. (16)

B. (32)

C. (64)

D. (128)

Correct Answer: A

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

Question 14

Find the derivative of the function (f(x) = 3x^2 + 2x - 5) u\sing the chain rule.

Correct A. (f'(x) = 6x + 2)

B. (f'(x) = 6x + 2x - 5)

C. (f'(x) = 6x^2 + 2x - 5)

D. (f'(x) = 6x + 2x^2 - 5)

Correct Answer: A

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

Question 15

Solve the system of equations \( egin{cases}x + y = 2\x - y = 1\end{cases} \).

Correct A. \( x = 1, y = 1 \)

B. \( x = 1, y = 2 \)

C. \( x = 2, y = 1 \)

D. \( x = 2, y = 2 \)

Correct Answer: A

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

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

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

Question 17

A circle with center (0, 0) and radius 5 passes through which of the following points?

Correct A. (3, 4)

B. (4, 3)

C. \( -3, 4 \)

D. \( -4, 3 \)

Correct Answer: A

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

Question 18

A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \) with initial term \( a_1 = 3 \). Find the value of \( a_5 \).

Correct A. 31

B. 32

C. 33

D. 34

Correct Answer: A

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

Question 19

A set of 5 points is chosen at random from a circle of radius 10. What is the probability that the 5 points form a convex pentagon?

A. 1/10

Correct B. 1/5

C. 1/2

D. 3/4

Correct Answer: B

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

Question 20

A vector ( mathbf{a} ) has magnitude 5 and direction \( 30^circ \) counterclockwise from the positive x-axis. Find the x and y components of ( mathbf{a} ).

Correct A. 4.33, 2.5

B. 2.5, 4.33

C. 3, 4

D. 4, 3

Correct Answer: A

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

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

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

Question 22

A curve is defined by the equation \( y = \frac{1}{x^2 + 1} \). Find the area under the curve between x = 0 and x = 1.

Correct A. 0.5

B. 0.75

C. 1

D. 1.5

Correct Answer: A

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

Question 23

A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the volume of the prism.

Correct A. 30

B. 50

C. 60

D. 70

Correct Answer: A

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

Question 24

Solve the inequality \( x^2 - 4x - 5 > 0 \).

Correct A. \( -\infty, -1 \) \cup \( 5, \infty \)

B. \( -\infty, 1 \) \cup \( 5, \infty \)

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

D. \( -\infty, 5 \) \cup \( 1, \infty \)

Correct Answer: A

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

Question 25

Find the vector ( mathbf{a} ) that satisfies the equation \( mathbf{a} \cdot mathbf{b} = 10 \) and \( mathbf{a} \cdot mathbf{c} = 20 \), where \( mathbf{b} = \( 2, 3, 4 \ \) ) and \( mathbf{c} = \( 1, 2, 3 \ \) ).

Correct A. (5, 10, 15)

B. (10, 20, 30)

C. (15, 30, 45)

D. (20, 40, 60)

Correct Answer: A

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