Exam Body

Year

Subject

Paper Type

POST UTME NILE UNIVERSITY 2021 Mathematics | Objective

Prepare for your exams with POST UTME NILE 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

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

Correct A. $\frac{\pi}{6}$

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

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

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

Correct Answer: A

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

Question 2 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?

Correct A. 0.8413

B. 0.8413

C. 0.8413

D. 0.8413

Correct Answer: A

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

Question 3 View Details

Solve for x in the equation $2^x + 2^{-x} = 3$.

Correct A. $\log_2 2 \$ )

B. $\log_2 3 \$ )

C. $\log_2 4 \$ )

D. $\log_2 5 \$ )

Correct Answer: A

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

Question 4 View Details

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

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 5 View Details

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

Correct A. 30

B. 40

C. 50

D. 60

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. 16

B. 32

C. 64

D. 128

Correct Answer: A

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

Question 7 View Details

Solve the system of linear equations: $\begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases}$.

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 8 View Details

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

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 9 View Details

Sketch the graph of the function $y = |x - 2|$.

Correct A. A graph with a \single vertex at (2, 0)

B. A graph with a \single vertex at (0, 2)

C. A graph with a \single vertex at (2, 2)

D. A graph with a \single vertex at (0, 0)

Correct Answer: A

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

Question 10 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 11 View Details

Find the volume of the frustum of a cone with height 8 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 64\pi $cm^3$

Correct B. 128\pi $cm^3$

C. 256\pi $cm^3$

D. 512\pi $cm^3$

Correct Answer: B

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

Question 12 View Details

Solve the inequality $\frac{x-2}{x+1}$\$) > 0.$

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

B. $x < -1$\text{ or } $x < 2$

C. $x > -1$\text{ or } $x > 2$

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

Correct Answer: A

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

Question 13 View Details

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

A. 116

B. 118

Correct C. 120

D. 122

Correct Answer: C

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

Question 14 View Details

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

A. $x = 10\^2$

Correct B. $x = 10\^4$

C. $x = 10\^{-2}$

D. $x = 10\^{-4}$

Correct Answer: B

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 (0, 0), (3, 0), and (0, 4).

A. 12

B. 14

Correct C. 16

D. 18

Correct Answer: C

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

Question 16 View Details

Let X and Y be independent random variables with mean 0 and variance 1. What is the probability that X + Y is greater than 2?

A. 0.5

B. 0.25

Correct C. 0.75

D. 0.125

Correct Answer: C

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

Question 17 View Details

Solve the system of linear equations using the method of substitution: \begin{align*} x + 2y &= 6 \ 3x - 2y &= -3 \end{align*}

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

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

C. $x = 3$, $y = 2$

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

A histogram of exam scores has a mean of 60 and a standard deviation of 10. What is the probability that a randomly selected score is greater than 70?

A. 0.25

B. 0.5

Correct C. 0.75

D. 0.9

Correct Answer: C

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

Question 19 View Details

Solve the quadratic equation: \begin{align*} $x^2 + 5x + 6$ &= 0 \end{align*}

Correct A. $x = -2$,$x = -3$

B. $x = 2$, $x = 3$

C. $x = -1$,$x = -6$

D. $x = 1$, $x = 6$

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. $y = 2x + 1$

B. $y = 2x - 1$

C. $y = x + 2$

D. $y = x - 2$

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 f(x) = $egin{cases} 2x, & 0 \leq x \leq 1 \ 0, & \text{otherwise} \end{cases}$. Find the probability that X is greater than 0.5.

Correct A. 0.25

B. 0.5

C. 0.75

D. 1

Correct Answer: A

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

Question 22 View Details

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

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 23 View Details

A binary operation (*\) on the set of integers is defined as follows: $a * b = a^2 + b^2\\((*) on the set of integers is defined as follows:$. Find the value of $2 * 3$.

A. 4

B. 5

C. 10

Correct D. 13

Correct Answer: D

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

Question 24 View Details

In the diagram below, what is the value of x?

A. 30

B. 60

Correct C. 90

D. 120

Correct Answer: C

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

Question 25 View Details

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

Correct A. $-∞, -3$ ∪ (1, ∞)

B. $-∞, -1$ ∪ (3, ∞)

C. $-∞, 1$ ∪ (3, ∞)

D. $-∞, -3$ \cup $-1, 1$\)

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