Exam Body

Year

Subject

Paper Type

POST UTME NOUN 2020 Mathematics | Objective

Prepare for your exams with POST UTME NOUN questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 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. $\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 + \frac{1}{2} \times 4$

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

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

Correct Answer: A

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

Question 2 View Details

Solve the matrix equation $egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}$.

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

B. $egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix}$

C. $egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}$

D. $egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix}$

Correct Answer: A

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

Question 3 View Details

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

Correct A. $\frac{1}{3} \pi 2^3 - 1^3 \$ )

B. $\frac{1}{3} \pi 2^3 + 1^3 \$ )

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

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

Correct Answer: A

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

Question 4 View Details

Solve the system of equations $egin{cases} x + 2y = 3 \ 3x - 2y = 5 \end{cases}$.

Correct A. $egin{cases} x = 1 \ y = 1 \end{cases}$

B. $egin{cases} x = 2 \ y = 1 \end{cases}$

C. $egin{cases} x = 1 \ y = 2 \end{cases}$

D. $egin{cases} x = 2 \ y = 2 \end{cases}$

Correct Answer: A

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

Question 5 View Details

Find the area of the triangle formed by the points ( A(2, 3) ), ( B(4, 5) ), and ( C(6, 2) ).

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

B. $\frac{1}{2} \times 4 \times 2$

C. $\frac{1}{2} \times 3 \times 2$

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

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. ( 8 )

B. ( 16 )

C. ( 32 )

D. ( 64 )

Correct Answer: A

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

Question 7 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2}$\)\) ) using the chain 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 8 View Details

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

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 9 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 10 View Details

Find the area of the triangle with vertices ( A(0, 0), B(2, 0), C(1, 2) ).

Correct A. ( 2 )

B. ( 4 )

C. ( 6 )

D. ( 8 )

Correct Answer: A

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

Question 11 View Details

Let $S = {1, 2, 3, 4, 5}$. Find the number of subsets of ( S ) that contain exactly two elements.

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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

Question 12 View Details

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

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

B. \left$-\infty, -1 \right$ \cup \left$1, \infty \right$

C. \left$-\infty, 1 \right$ \cup \left$3, \infty \right$

D. \left$-\infty, -1 \right$ \cup \left$1, 3 \right$

Correct Answer: A

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

Question 13 View Details

Find the value of $$1\left \frac{\pi}{4} \right \$ \cos \left$\frac{\pi}{3} \right$ - \cos \left$\frac{\pi}{4} \right$ \sin \left$\frac{\pi}{3} \right$ ).

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

B. $\frac{\sqrt{3}}{2}$

C. $\frac{1}${$\sqrt{2}$}\)

D. \$\frac{\sqrt{3}$}{\$\sqrt{2}$}\)

Correct Answer: A

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

Question 14 View Details

A binary operation (\ast\) on the set \$(ast\({1, 2, 3, 4, 5\}$ is defined as \${1, 2, 3, 4, 5}\(a ast b = a + b \$ for all a, b \$ast b = a + b \in {1, 2, 3, 4, 5\}. Find the value of \(3 \\({1, 2, 3, 4, 5}. Find the value of \ast 4$.

A. 7

Correct B. 8

C. 9

D. 10

Correct Answer: B

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

Question 15 View Details

Solve the equation $x^2 - 4x + 3 = 0$.

Correct A. \left$1, 3 \right$

B. \left$1, 2 \right$

C. \left$2, 3 \right$

D. \left$1, 1 \right$

Correct Answer: A

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

Question 16 View Details

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

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

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

C. -$\frac{1}{x}$\)

D. $\frac{1}{x}$\)

Correct Answer: A

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

Question 17 View Details

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

Correct A. 1

B. -1

C. 0

D. 2

Correct Answer: A

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

Question 18 View Details

Find the value of $\log_{10} 100 \$ ).

A. 1

B. 2

C. 3

D. 4

Correct Answer: VIEW ANSWER

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

Question 19 View Details

Let f(x) = $3x^2 + 2x - 5$ and g(x) = $2x^2 - 3x + 1$. Find the value of $f + g$(2).

A. 25

B. 30

Correct C. 35

D. 40

Correct Answer: C

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

Question 20 View Details

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

Correct A. $x = \frac{\pi}{4}, \frac{3\pi}{4}$

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

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

D. $x = \frac{\pi}{2}, \frac{7\pi}{4}$

Correct Answer: A

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

Question 21 View Details

Find the magnitude of the vector $\vec{a} = \langle 3, 4 \rangle$.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 22 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. 0.85

Correct C. 0.95

D. 0.99

Correct Answer: C

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

Question 23 View Details

Two events, A and B, are independent. If P(A) = 0.4 and P(B) = 0.6, what is the probability that both events occur?

A. 0.2

Correct B. 0.4

C. 0.6

D. 0.8

Correct Answer: B

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

Question 24 View Details

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

A. 10

B. 20

Correct C. 40

D. 80

Correct Answer: C

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

Question 25 View Details

A circle has a radius of 5 cm. Find the area of the circle.

A. 25\pi

Correct B. 50\pi

C. 75\pi

D. 100\pi

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