Exam Body

Year

Subject

Paper Type

POST UTME ESUT 2018 Mathematics | Objective

Are you preparing for POST UTME ESUT 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 derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.

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

B. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}

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

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

Correct Answer: C

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

Question 2

A circle has a radius of 5 cm. Find the area of the circle.

Correct A. \pi r^2

B. 2\pi r

C. \pi r

D. \pi r^2 + 2\pi r

Correct Answer: A

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

Question 3

A random experiment has two indep\endent events, A and B, with probabilities 0.4 and 0.6, respectively. Find the probability that both events occur.

Correct A. 0.24

B. 0.48

C. 0.64

D. 0.76

Correct Answer: A

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

Question 4

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

A. x < -1

Correct B. x > -1

C. x < 1

D. x > 1

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 (2, 3) and (4, 5).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x + 2

D. y = x - 2

Correct Answer: A

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

Question 6

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

Correct A. x^2 + y^2 + 4x - 6y + 13 = 0

B. x^2 + y^2 - 4x + 6y + 13 = 0

C. x^2 + y^2 + 2x - 3y + 13 = 0

D. x^2 + y^2 - 2x + 3y + 13 = 0

Correct Answer: A

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

Question 7

Solve the system of equations: \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}

Correct A. x = 3, y = 1

B. x = 2, y = 2

C. x = 1, y = 3

D. x = 4, y = 0

Correct Answer: A

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

Question 8

Find the mean and s\tandard deviation of the data set: \{2, 4, 6, 8, 10\}

Correct A. Mean = 6, S\tandard Deviation = 2

B. Mean = 4, S\tandard Deviation = 2

C. Mean = 6, S\tandard Deviation = 4

D. Mean = 4, S\tandard Deviation = 4

Correct Answer: A

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

Question 9

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

Correct A. x < -2 or x > 1

B. x < 1 or x > 2

C. x < -1 or x > 2

D. x < 1 or x < 2

Correct Answer: A

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

Question 10

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

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

Question 11

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

Correct A. 12

B. 16

C. 20

D. 24

Correct Answer: A

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

Question 12

Find the equation of the circle with center (1, 2) and radius 3

Correct A. x^2 + y^2 - 2x + 4y + 5 = 0

B. x^2 + y^2 + 2x - 4y + 5 = 0

C. x^2 + y^2 - 2x - 4y + 5 = 0

D. x^2 + y^2 + 2x + 4y + 5 = 0

Correct Answer: A

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

Question 13

Solve the system of equations: \begin{align*} x + y &= 3 \ x - y &= 1 \end{align*}

A. x = 2, y = 1

B. x = 1, y = 2

C. x = 2, y = 2

D. x = 1, y = 1

Correct Answer: VIEW ANSWER

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

Question 14

Find the volume of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.

A. 32\pi

B. 64\pi

Correct C. 128\pi

D. 256\pi

Correct Answer: C

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

Question 15

Solve the inequality |x - 2| > 3.

Correct A. x < -1 or x > 5

B. x < 1 or x > 5

C. x < -1 or x > 4

D. x < 1 or x > 4

Correct Answer: A

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

Question 16

Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 4.

A. 64

B. 128

Correct C. 256

D. 512

Correct Answer: C

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

Question 17

Find the value of x in the equation 2^x + 2^x = 128.

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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

Question 18

Find the surface area of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 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 19

Solve for 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 20

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

A. 7

Correct B. 8

C. 9

D. 10

Correct Answer: B

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

Question 21

Solve the inequality \( x^2 - 4x + 3 > 0 \).

Correct A. \( -\infty, 1 \) \cup \( 3, \infty \)

B. \( -\infty, 3 \) \cup \( 1, \infty \)

C. (1, 3)

D. \( -\infty, 1 \) \cup \( 3, \infty \)

Correct Answer: A

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

Question 22

A particle moves along the x-axis with the equation of motion ( x(t) = t^2 - 2t + 1 ). Find the velocity of the particle at time \( t = 1 \).

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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

Question 23

Find the value of ( x ) in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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

Question 24

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

Correct A. \( 12 + 12 \sqrt{2} - 8 \ \)

B. \( 12 + 12 \sqrt{2} + 8 \ \)

C. \( 12 - 12 \sqrt{2} - 8 \ \)

D. \( 12 - 12 \sqrt{2} + 8 \ \)

Correct Answer: A

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

Question 25

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

A. \( x = 2 \ \)

B. \( x = 3 \ \)

Correct C. \( x = 4 \ \)

D. \( x = 5 \ \)

Correct Answer: C

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