Exam Body

Year

Subject

Paper Type

POST UTME IGBINEDION UNIVERSITY 2021 Mathematics | Objective

Prepare for your exams with POST UTME IGBINEDION UNIVERSITY questions? Reviewing past/model 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 View Details

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. \(\frac{1}{2} \times 4^3 + 3 \times 4 - 2 \times 4\)

Correct Answer: A

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

Question 2 View Details

Find the derivative of \(y = \frac{1}{x^2 + 1}\) using 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

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

Question 3 View Details

Solve the equation \(2x^2 + 3x - 1 = 0\) using the quadratic formula.

Correct A. \(x = \frac{-3 \pm \sqrt{9 + 8}}{4}\)

B. \(x = \frac{-3 \pm \sqrt{9 - 8}}{4}\)

C. \(x = \frac{-3 \pm \sqrt{9 + 4}}{4}\)

D. \(x = \frac{-3 \pm \sqrt{9 - 4}}{4}\)

Correct Answer: A

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

Question 4 View Details

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 5 View Details

Solve the inequality \(2x^2 - 3x + 1 > 0\).

Correct A. \(x < -\frac{1}{2}\) or \(x > \frac{1}{2}\)

B. \(x < -\frac{1}{2}\) or \(x < \frac{1}{2}\)

C. \(x > -\frac{1}{2}\) or \(x > \frac{1}{2}\)

D. \(x > -\frac{1}{2}\) or \(x < \frac{1}{2}\)

Correct Answer: A

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

Question 6 View Details

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

A. \(16 + 24 - 8 = 32\)

B. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 10\)

Correct C. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 16\)

D. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 24\)

Correct Answer: C

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

Question 7 View Details

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

Correct A. \(x < -1\) or \(x > \frac{3}{2}\)

B. \(x < -1\) or \(x < \frac{3}{2}\)

C. \(x > -1\) or \(x < \frac{3}{2}\)

D. \(x < -1\) or \(x > \frac{3}{2}\)

Correct Answer: A

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

Question 8 View Details

Find the mean of the data set ( 2, 4, 6, 8, 10 ).

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 9 View Details

Find the determinant of the matrix \(\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}\).

Correct A. ( 0 )

B. ( 1 )

C. \(-1\)

D. ( 2 )

Correct Answer: A

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

Question 10 View Details

Solve the trigonometric 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 11 View Details

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

Correct A. ( 6 )

B. ( 12 )

C. ( 18 )

D. ( 24 )

Correct Answer: A

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

Question 12 View Details

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

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

Question 13 View Details

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

A. \(y = \frac{4 - 2}{3 - 1} x - 1 \\) + 2 )

B. \(y = \frac{4 - 2}{3 - 1} x - 1 \\) + 4 )

C. \(y = \frac{4 - 2}{3 - 1} x - 1 \\) + 6 )

D. \(y = \frac{4 - 2}{3 - 1} x - 1 \\) + 8 )

Correct Answer: VIEW ANSWER

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

Question 14 View Details

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

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 15 View Details

Solve the inequality \(\frac{1}{x-1} > \frac{2}{x+1}\).

Correct A. \(x<-1\)

B. \(x>-1\)

C. \(x < 1\)

D. \(x > 1\)

Correct Answer: A

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

Question 16 View Details

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

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

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

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

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

Correct Answer: A

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

Question 17 View Details

Solve the system of equations \(\begin{cases} x+y = 4 \ x-y = 2 \end{cases}\).

Correct A. \(x = 3\), \(y = 1\)

B. \(x = 1\), \(y = 3\)

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

D. \(x = 4\), \(y = 0\)

Correct Answer: A

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

Question 18 View Details

Find the determinant of the matrix \(\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}\).

Correct A. 0

B. 1

C. -1

D. 2

Correct Answer: A

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

Question 19 View Details

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

Correct A. \(\frac{-x}{1 - x^2 \\)^{\(3/2\)}} )

B. \(\frac{x}{1 - x^2 \\)^{\(3/2\)}} )

C. \(\frac{1}{1 - x^2 \\)^{\(3/2\)}} )

D. \(\frac{-1}{1 - x^2 \\)^{\(3/2\)}} )

Correct Answer: A

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

Question 20 View Details

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

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 21 View Details

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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

Question 22 View Details

Solve the system of equations using matrices: \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix}\).

Correct A. \(x = 1, y = 2\)

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

C. \(x = 3, y = 4\)

D. \(x = 4, y = 3\)

Correct Answer: A

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

Question 23 View Details

Find the determinant of the matrix \(egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}\).

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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

Question 24 View Details

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

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

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

C. \(-\frac{1}{x^3}\)

D. \(\frac{1}{x^3}\)

Correct Answer: A

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

Question 25 View Details

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

Correct A. \(x = -2\)

B. \(x = 2\)

C. \(x = -1\)

D. \(x = 1\)

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