Exam Body

Year

Subject

Paper Type

POST UTME UI 2021 Mathematics | Objective

Prepare for your exams with POST UTME UI 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

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

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 2 View Details

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

A. $y = 1x + 1$

Correct B. $y = 2x + 1$

C. $y = 3x + 1$

D. $y = 4x + 1$

Correct Answer: B

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

Question 3 View Details

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

A. $x < -1$

Correct B. $x > 5$

C. $x < 5$

D. $x > -1$

Correct Answer: B

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

Question 4 View Details

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

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 5 View Details

Solve the system of equations $x + y = 3$ and $x - y = 1$.

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

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

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

D. $x = 1$, $y = 1$

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 $y = \frac{1}{2}x^2$ from $x = 0$ to $x = 4$.

Correct A. $\frac{16}{3}$

B. ( 8 )

C. ( 4 )

D. ( 2 )

Correct Answer: A

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

Question 7 View Details

A circle with center ( C(2, 3) ) and radius $r = 4$ has a chord ( AB ) parallel to the x-axis. Find the length of ( AB ).

Correct A. ( 8 )

B. ( 6 )

C. ( 4 )

D. ( 2 )

Correct Answer: A

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

Question 8 View Details

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

Correct A. $2x$1x^2 \$ )

B. $$1x^2 \$ )

C. $2x$1x^2 \$ )

D. $$1x^2 \$ )

Correct Answer: A

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

Question 9 View Details

A sequence is defined by $a_n = \frac{1}{n}$. Find the sum of the first 5 terms of the sequence.

A. ( 1.25 )

Correct B. ( 1.33 )

C. ( 1.45 )

D. ( 1.67 )

Correct Answer: B

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

Question 10 View Details

Two events ( A ) and ( B ) are independent. If ( P(A) = 0.3 ) and ( P(B) = 0.4 ), find ( P(A cap B) ).

Correct A. ( 0.12 )

B. ( 0.24 )

C. ( 0.36 )

D. ( 0.48 )

Correct Answer: A

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

Question 11 View Details

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

Correct A. $x > 3 \$

B. $x < 3 \$

C. $x > 2 \$

D. $x < 2 \$

Correct Answer: A

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

Question 12 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If 80% of the scores lie between 60 and 90, what is the probability that a randomly selected score lies between 70 and 85?

A. 0.4

Correct B. 0.5

C. 0.6

D. 0.7

Correct Answer: B

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

Question 13 View Details

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

Correct A. $\frac{16}{15} \pi \$

B. $\frac{32}{15} \pi \$

C. $\frac{64}{15} \pi \$

D. $\frac{128}{15} \pi \$

Correct Answer: A

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

Question 14 View Details

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

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

B. $x = \frac{3\pi}{2} \$

Correct C. $x = \frac{\pi}{4} \$ or $x = \frac{5\pi}{4} \$

D. $x = \frac{\pi}{4} \$ or $x = \frac{3\pi}{4} \$

Correct Answer: C

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

Question 15 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{-2}{x^2 + 1$ ^2}\)\) \)

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

Correct Answer: A

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

Question 16 View Details

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

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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

Question 17 View Details

Solve the equation $\frac{1}{2}$\) \log_{10} $x^2 = 4$.

Correct A. $10^8$

B. $10^4$

C. $10^2$

D. $10^0$

Correct Answer: A

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

Question 18 View Details

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

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

Correct B. $\frac{2x^3 - 2x}{$ $x^2 - 1$ ^2}\)\)

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

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

Correct Answer: B

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

Question 19 View Details

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 16\pi

B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: A

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

Question 20 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the volume of the prism.

Correct A. 30

B. 60

C. 90

D. 120

Correct Answer: A

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

Question 21 View Details

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

A. 20

B. 22

Correct C. 24

D. 26

Correct Answer: C

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

Question 22 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 23 View Details

A histogram of exam scores has a mean of 70 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 80?

A. 0.68

B. 0.69

Correct C. 0.70

D. 0.71

Correct Answer: C

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

Question 24 View Details

Find the magnitude of the vector \begin{pmatrix} 3 \ 4 \end{pmatrix}.

Correct A. 5

B. 4

C. 3

D. 2

Correct Answer: A

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

Question 25 View Details

Solve the equation \$\sin^2$ x + \$\cos^2$ $x = 1$ for x.

A. $\frac{\pi}{2}$\)

Correct B. $\frac{\pi}{4}$\)

C. $\frac{\pi}{6}$\)

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

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