Exam Body

Year

Subject

Paper Type

POST UTME OAU 2017 Mathematics | Objective

Prepare for your exams with POST UTME OAU 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

Determine the value of x in the equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) if $$1x \$ = $\frac{3}{4}$\) ).

Correct A. $\frac{\pi}{4}$

B. $\frac{3\pi}{4}$

C. $\frac{5\pi}{4}$

D. $\frac{7\pi}{4}$

Correct Answer: A

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

Question 2 View Details

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

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 3 View Details

Solve the inequality $2x^2 + 5x - 3 > 0$.

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

B. $x < -\frac{1}{2}$ or $x > \frac{3}{2}$

C. $x < -\frac{1}{2}$ or $x < \frac{3}{2}$

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

Correct Answer: A

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

Question 4 View Details

Find the area under the curve $y = $1x \$ ) from $x = 0$ to $x = \frac{\pi}{2}$.

Correct A. $\frac{1}{2}$

B. $\frac{\pi}{2}$

C. $\frac{\pi}{4}$

D. $\frac{1}{4}$

Correct Answer: A

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

Question 5 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. $\frac{1}{6}$

B. $\frac{1}{3}$

C. $\frac{2}{3}$

Correct D. $\frac{5}{6}$

Correct Answer: D

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

Question 6 View Details

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

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 7 View Details

Solve the equation $\log_{10} x^2 \$$= 4 ).$

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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

Question 8 View Details

Find the area under the curve $y = x^2$ from $x = 0$ to $x = 4$.

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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

Question 9 View Details

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

A. $x = 1$, $y = 1$

B. $x = 1$, $y = 2$

Correct C. $x = 2$, $y = 1$

D. $x = 2$, $y = 2$

Correct Answer: C

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

Question 10 View Details

Find the vector ( vec{a} ) such that $\vec{a} \cdot \vec{b} = 10$ and $\vec{a} \cdot \vec{c} = 5$, where $\vec{b} = egin{bmatrix} 2 \ 3 \end{bmatrix}$ and $\vec{c} = egin{bmatrix} 1 \ 2 \end{bmatrix}$.

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

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

C. \begin{bmatrix} 3 \ 4 \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 11 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 + $y + 3$^$2 = 16$ )

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 12 View Details

If ( f(x) = $\frac{x^2 - 4}{x + 2}$\)) ), find $f -2 \\\() ), find (f -2$ ).

A. ( 0 )

B. ( 2 )

C. $-2$

Correct D. $\frac{0}{0}$

Correct Answer: D

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

Question 13 View Details

Solve for ( x ) in the equation $2x^2 + 5x - 3 = 0$.

Correct A. $x = -3$ or $x = 1$

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 14 View Details

Find the derivative of ( f(x) = $x^3 - 2x^2 + 3x - 1$ ) using the power rule.

Correct A. ( f'$(x) =$$3x^2 - 4x + 3$ )

B. ( f'$(x) =$$x^2 - 2x + 3$ )

C. ( f'$(x) =$$3x^2 - 4x - 3$ )

D. ( f'$(x) =$$x^2 - 2x - 3$ )

Correct Answer: A

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

Question 15 View Details

Solve the system of equations using substitution: $x + y = 4$ and $2x - y = 2$.

A. $x = 2, y = 2$

Correct B. $x = 3, y = 1$

C. $x = 1, y = 3$

D. $x = 2, y = 3$

Correct Answer: B

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

Question 16 View Details

Determine the sum of the infinite geometric series ∫_{$n = 1$}^{infty} $\frac{1}${$2^{n-1}}$\)

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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

Question 17 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 + $y+3$^$2 = 16$

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 18 View Details

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

Correct A. $-\infty, -\frac{3}{2}$ \cup $\frac{1}{2}, \infty$

B. $-\infty, -\frac{3}{2}$ \cup $-\frac{1}{2}, \infty$

C. $-\infty, -\frac{1}{2}$ \cup $\frac{3}{2}, \infty$

D. $-\infty, \frac{1}{2}$ \cup $\frac{3}{2}, \infty$

Correct Answer: A

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

Question 19 View Details

Find the volume of the solid formed by revolving the region bounded by $y = x\^2$, $y = 0$, and $x = 2$ about the x-axis

Correct A. $\frac{32}{3}$\)\pi

B. $\frac{64}{3}$\)\pi

C. $\frac{128}{3}$\)\pi

D. $\frac{256}{3}$\)\pi

Correct Answer: A

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

Question 20 View Details

Determine the value of x in the equation $\frac{x}{x+1}$\) = $\frac{2}{3}$\)

Correct A. $\frac{2}{5}$\)

B. $\frac{3}{5}$\)

C. $\frac{4}{5}$\)

D. $\frac{5}{6}$\)

Correct Answer: A

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

Question 21 View Details

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

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 22 View Details

Solve the inequality $|x-2| > 3$.

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

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

C. $-\infty,1)\cup 2,5 \$

D. $-\infty,5)\cup 2,\infty \$

Correct Answer: A

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

Question 23 View Details

Find the equation of the tangent line to the curve $y = x^2-4x+3$ at the point \$tangent line to the curve (y = x^2-4x+3\(1,-2$\).

Correct A. $y=-2x+1$

B. $y=-2x-1$

C. $y = 2x-1$

D. $y = 2x+1$

Correct Answer: A

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

Question 24 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 25 View Details

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

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

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

C. $\frac{2x^3}{$ $x^2+1$ ^2}\)\)

D. -$\frac{2x^3}{$ $x^2+1$ ^2}\)\)

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