Exam Body

Year

Subject

Paper Type

POST UTME PAN-ATLANTIC UNIVERSITY 2017 Mathematics | Objective

Prepare for your exams with POST UTME PAN-ATLANTIC UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

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

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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

Question 2 View Details

Solve the equation \(x^2 + 4x + 4 = 0\)

Correct A. \(x = -2\)

B. \(x = -1\)

C. \(x = 1\)

D. \(x = 2\)

Correct Answer: A

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

Question 3 View Details

Find the derivative of the function ( f(x) = \(3x^2 + 2x - 5\) )

Correct A. 6x + 2

B. \(3x^2 + 2\)

C. 6x - 2

D. \(3x^2 - 2\)

Correct Answer: A

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

Question 4 View Details

Solve the inequality \(2x - 5 > 3\)

Correct A. \(x > 4\)

B. \(x < 4\)

C. \(x > 2\)

D. \(x < 2\)

Correct Answer: A

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

Question 5 View Details

Find the vector ( mathbf{a} ) such that \(\mathbf{a} \cdot \mathbf{b} = 6\) and \(\mathbf{a} \cdot \mathbf{c} = 3\), where \(\mathbf{b} = egin{bmatrix} 2 \ 3 \end{bmatrix}\) and \(\mathbf{c} = egin{bmatrix} 1 \ 4 \end{bmatrix}\)

Correct A. \begin{bmatrix} 1 \ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \ 1 \end{bmatrix}

C. \begin{bmatrix} 3 \ 2 \end{bmatrix}

D. \begin{bmatrix} 4 \ 3 \end{bmatrix}

Correct Answer: A

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

Question 6 View Details

In a certain number base, the representation of the number 27 is 101. If the base is denoted by 'b', find the value of 'b' using the equation \(b^2 - 5b - 6 = 0\).

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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

Question 7 View Details

A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even and the coin lands heads up, find the probability that the number on the die is greater than 3.

Correct A. \(1/4\)

B. \(1/6\)

C. \(1/2\)

D. \(2/3\)

Correct Answer: A

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

Question 8 View Details

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

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

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

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

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

Correct Answer: A

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

Question 9 View Details

A rectangular box has dimensions 5 cm, 8 cm, and 3 cm. Find the volume of the box in cubic centimeters.

Correct A. 120

B. 150

C. 180

D. 200

Correct Answer: A

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

Question 10 View Details

Find the magnitude of the vector \(\vec{a} = \langle 3, 4 \rangle\) and the vector \(\\() and the vector \vec{b} = \langle -2, 1 \rangle \\).

Correct A. \(\sqrt{29}\)

B. \(\sqrt{5}\)

C. \(\sqrt{2}\)

D. \(\sqrt{3}\)

Correct Answer: A

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

Question 11 View Details

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

Correct A. 40

B. 42

C. 44

D. 46

Correct Answer: A

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

Question 12 View Details

Solve for ( x ) in the equation \(\left| x - 2 \right| + \left| x - 5 \right| = 3\).

A. 1

B. 3

Correct C. 4

D. 6

Correct Answer: C

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

Question 13 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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

Question 14 View Details

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side.

A. 8

Correct B. 9

C. 10

D. 12

Correct Answer: B

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

Question 15 View Details

Solve the equation \(x^2 - 4x + 4 = 0\).

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

Question 16 View Details

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+2 \\)^2 + \(y-3\)^\(2 = 25\) )

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 17 View Details

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

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

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

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

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

Correct Answer: A

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

Question 18 View Details

A rectangular prism has a length of ( 10 ) cm, a width of ( 5 ) cm, and a height of ( 3 ) cm. Find its volume.

A. ( 150 ) cm\(^3\)

Correct B. ( 300 ) cm\(^3\)

C. ( 500 ) cm\(^3\)

D. ( 1000 ) cm\(^3\)

Correct Answer: B

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

Question 19 View Details

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

Correct A. \(x = 2\)

B. \(x = 3\)

C. \(x = 4\)

D. \(x = 5\)

Correct Answer: A

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

Question 20 View Details

A circle has an equation of the form \(x^2 + y^2 + Dx + Ey + F = 0\). If the circle passes through the points ( (1,2) ) and ( (3,4) ), find its equation.

Correct A. \(x^2 + y^2 - 4x - 6y + 5 = 0\)

B. \(x^2 + y^2 + 4x + 6y + 5 = 0\)

C. \(x^2 + y^2 - 6x - 4y + 5 = 0\)

D. \(x^2 + y^2 + 6x + 4y + 5 = 0\)

Correct Answer: A

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

Question 21 View Details

Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 5 \ 1 & 2 & 3 \ 4 & 1 & 2 \end{array} ].

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 22 View Details

Solve the inequality \(x^2 + 4x + 4 \geq 0\).

A. \left\(x \leq -2 \right\)

Correct B. \left\(x \geq -2 \right\)

C. \left\(x < -2 \right\)

D. \left\(x > -2 \right\)

Correct Answer: B

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

Question 23 View Details

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 24 View Details

Solve the equation \(\log_2 (x) = 3\).

Correct A. 8

B. 16

C. 32

D. 64

Correct Answer: A

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

Question 25 View Details

Find the value of (\(1(2x)\) when \(x = \\((\)1(2x)) when \(\frac{\pi}{6}\)\).

A. \(\frac{1}{2}\)\)

Correct B. \(\frac{\sqrt{3}}{2}\)

C. \(\frac{\sqrt{2}}{2}\)

D. \(\frac{\sqrt{6}}{2}\)

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