Exam Body

Year

Subject

Paper Type

POST UTME UNIOSUN 2021 Mathematics | Objective

Prepare for your exams with POST UTME UNIOSUN 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

Solve the inequality $\frac{x^2 - 4}{x + 2} > 0$ for ( x in mathbb{R} ).

Correct A. $-\infty, -2 \$ cup (2, infty) )

B. $-\infty, -2 \$ cup (2, infty) cup { 0 } )

C. $-\infty, -2 \$ cup (2, infty) cup { 4 } )

D. $-\infty, -2 \$ cup (2, infty) cup { -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$ ^3}\)\) )

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

D. ( f'$(x) =$$\frac{2x}{x^2 + 1$ ^3}\)\) )

Correct Answer: A

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

Question 3 View Details

Solve the system of linear equations using matrices:

Correct A. $egin{bmatrix} 1 \ 2 \end{bmatrix}$

B. $egin{bmatrix} 2 \ 1 \end{bmatrix}$

C. $egin{bmatrix} 1 \ -2 \end{bmatrix}$

D. $egin{bmatrix} -2 \ 1 \end{bmatrix}$

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. $\frac{\pi}{8}$

Correct Answer: A

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

Question 5 View Details

Solve the trigonometric equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) for ( x in [0, 2pi] ).

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

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

C. $x = \frac{3\pi}{4}$

D. $x = \frac{5\pi}{4}$

Correct Answer: A

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

Question 6 View Details

Determine 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 7 View Details

Find the volume of the solid formed by revolving the region bounded by the curves $y = x^2$ and $y = 4x$ 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 8 View Details

Solve the inequality $2x^3 - 5x^2 + 3x - 1 > 0$.

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

B. $-\infty, 0$ \cup $1, \infty$

C. $-\infty, -1$ \cup (0, 1)

D. $-\infty, 1$

Correct Answer: A

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

Question 9 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2 + 1}$\)\) ) 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 10 View Details

A rectangular box has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the surface area of the box.

A. 88

B. 96

Correct C. 104

D. 112

Correct Answer: C

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 $x = 4$.

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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

Question 12 View Details

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

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 13 View Details

Find the derivative of the function $y = \sin^2 x \$ ) using the chain rule.

Correct A. $2 $1x \$ \cos(x) )

B. $\cos^2 x \$ )

C. $\sin^2 x \$ )

D. $$1x \$ )

Correct Answer: A

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

Question 14 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 15 View Details

Find the area of the triangle with vertices ( A(0, 0) ), ( B(3, 0) ), and ( C(0, 2) ).

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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

Question 16 View Details

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

Correct A. $\frac{1}{2} \times 4^3 + 3 \times \frac{4^2}{2} - 2 \times 4$

B. $\frac{1}{2} \times 4^2 + 3 \times 4 - 2$

C. $\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4$

D. $\frac{1}{2} \times 4^2 + 3 \times \frac{4^2}{2} - 2 \times 4$

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: $egin{cases} 2x + 3y = 7 \ 4x - 2y = - 3 \end{cases}$.

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 18 View Details

Find the determinant of the matrix $egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{pmatrix}$.

Correct A. $2 \times 2 \times 2 - 1 \times 1 \$ - 1 \times $4 \times 2 - 3 \times 1$ + 3 \times $4 \times 1 - 3 \times 2$ )

B. $2 \times 2 \times 2 - 1 \times 1 \$ - 1 \times $4 \times 2 - 3 \times 1$ - 3 \times $4 \times 1 - 3 \times 2$ )

C. $2 \times 2 \times 2 - 1 \times 1 \$ + 1 \times $4 \times 2 - 3 \times 1$ + 3 \times $4 \times 1 - 3 \times 2$ )

D. $2 \times 2 \times 2 - 1 \times 1 \$ - 1 \times $4 \times 2 - 3 \times 1$ - 3 \times $4 \times 1 - 3 \times 2$ )

Correct Answer: A

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

Question 19 View Details

A sequence is defined by the recurrence relation $a_n = 2a_{n-1} + 3$ with initial term $a_1 = 2$. Find the sum of the first 5 terms of the sequence.

Correct A. $2 + 7 + 17 + 37 + 79$

B. $2 + 5 + 13 + 29 + 61$

C. $2 + 7 + 17 + 37 + 79$

D. $2 + 5 + 13 + 29 + 61$

Correct Answer: A

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

Question 20 View Details

Find the equation of the line passing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. $y = \frac{5 - 3}{4 - 2}x + \frac{3 \times 4 - 5 \times 2}{4 - 2}$

B. $y = \frac{5 - 3}{4 - 2}x + \frac{3 \times 4 - 5 \times 2}{4 - 2}$

C. $y = \frac{5 - 3}{4 - 2}x + \frac{3 \times 2 - 5 \times 4}{4 - 2}$

D. $y = \frac{5 - 3}{4 - 2}x + \frac{3 \times 2 - 5 \times 4}{4 - 2}$

Correct Answer: A

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

Question 21 View Details

Let X be a random variable with probability density function (pdf) given by f(x) = $\frac{1}{2} e^{-|x|}$ for -∞$< x$< ∞. Find the probability that X lies between -2 and 2.

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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

Question 22 View Details

A histogram of exam scores is given below. If the mean score is 60, what is the median score?

A. 55

Correct B. 60

C. 65

D. 70

Correct Answer: B

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

Question 23 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 24 View Details

Simplify the expression $\sqrt[3]{64x^3y^3}$.

A. $4x^1y^1$

B. $4x^3y^3$

Correct C. $8x^3y^3$

D. $16x^3y^3$

Correct Answer: C

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

Question 25 View Details

A polynomial function is defined as ( f(x) = $(2x^3 - 5x^2 + 7x - 1$\) ). Find the value of $f -1 \\((2x^3 - 5x^2 + 7x - 1) ). Find the value of \$ ).

A. 3

Correct B. 5

C. 7

D. 9

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