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POST UTME ESUT 2019 Mathematics | Objective

Prepare for your exams with POST UTME ESUT questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

Solve for x in the equation $\frac{x}{2} + 5 = 11$:

Correct A. 6

B. 7

C. 8

D. 9

Correct Answer: A

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Question 2 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

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Question 3 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

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Question 4 View Details

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

Correct A. $2 3^{10}-1 \$ )

B. $2 3^{10}+1 \$ )

C. $2 3^{10}-2 \$ )

D. $2 3^{10}+2 \$ )

Correct Answer: A

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Question 5 View Details

Find the equation of the line passing through the points (1, 2) and (3, 4):

Correct A. $y = \frac{2}{1}x + 0$

B. $y = \frac{2}{1}x + 1$

C. $y = \frac{2}{1}x - 1$

D. $y = \frac{2}{1}x + 2$

Correct Answer: A

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Question 6 View Details

Find the sum of the first 10 terms of the geometric series $sum_{n = 1}^{10} 2^n \cdot 3^{n-1}$.

Correct A. 12167

B. 12345

C. 12543

D. 12879

Correct Answer: A

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Question 7 View Details

A circle passes through points ( A(1, 2) ) and ( B(3, 4) ). Find the equation of the circle in the form $x - h \$^2 + $y - k$^$2 = r\^2$ ).

A. \left$x - 2 \right$^2 + \left$y - 3 \right$^$2 = 5$

Correct B. \left$x - 1 \right$^2 + \left$y - 2 \right$^$2 = 4$

C. \left$x - 3 \right$^2 + \left$y - 4 \right$^$2 = 9$

D. \left$x - 4 \right$^2 + \left$y - 5 \right$^$2 = 16$

Correct Answer: B

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Question 8 View Details

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

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

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

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

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

Correct Answer: A

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Question 9 View Details

A die is rolled twice. What is the probability that the sum of the two numbers is 7?

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

Correct B. $\frac{1}{12}$\)

C. $\frac{1}{18}$\)

D. $\frac{1}{24}$\)

Correct Answer: B

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Question 10 View Details

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

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

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

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

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

Correct Answer: A

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Question 11 View Details

Determine the value of $\int_0^1 x^2 \sin(x) dx$.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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Question 12 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

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Question 13 View Details

Solve the system of equations: $\begin{cases} x + y = 2 \ 2x - 3y = - 1 \end{cases}$

Correct A. (x,$y) = (1$,1)

B. (x,$y) = (2$,0)

C. (x,$y) = (0$,2)

D. (x,$y) = (1$,0)

Correct Answer: A

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Question 14 View Details

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

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

Correct 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: B

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Question 15 View Details

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

Correct A. x < -1 or $x > 5$

B. $x < 1$ or $x > 5$

C. x < -1 or $x > 2$

D. $x < 1$ or $x > 2$

Correct Answer: A

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

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

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

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

Correct Answer: A

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Question 17 View Details

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

A. $x = 2$

Correct B. $x = 3$

C. $x = 4$

D. $x = 5$

Correct Answer: B

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Question 18 View Details

A matrix ( A ) is given by $A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$. Find the determinant of ( A ).

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

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

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

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

Correct Answer: A

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Question 19 View Details

Find the probability that at least one of two independent events ( A ) and ( B ) occurs, given that ( P(A) = 0.4 ) and ( P(B) = 0.6 ).

Correct A. $1 - 1 - 0.4$$1 - 0.6 \$ )

B. $0.4 + 0.6 - 0.4 \$(0.6) )

C. $0.4 + 0.6 - 0.4 \times 0.6$

D. $1 - 0.4 \$(0.6) )

Correct Answer: A

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Question 20 View Details

Solve for ( x ) in 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

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Question 21 View Details

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

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

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

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

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

Correct Answer: A

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Question 22 View Details

Solve for ( x ) in the equation $x^2 + 4x + 4 = 0$.

Correct A. $x = -2$

B. $x = 2$

C. $x = -1$

D. $x = 1$

Correct Answer: A

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Question 23 View Details

Find the value of $$160^circ$.

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

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

C. $\frac{1}{\sqrt{3}}$

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

Correct Answer: B

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Question 24 View Details

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

A. $\pi \times 4^2$

B. $2 \times \pi \times 4$

C. $\pi \times 2^2$

D. $2 \times \pi \times 2$

Correct Answer: VIEW ANSWER

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Question 25 View Details

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

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

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

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

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

Correct Answer: A

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