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POST UTME NOUN 2021 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 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

Find the derivative of ( f(x) = $\frac{1}{2}$\) left$3x^2 + 2x - 5 \right$ ) using the chain rule.

A. ( f'$(x) = 3x + 1 )$

Correct B. ( f'$(x) = 6x + 2 )$

C. ( f'$(x) =$$3x^2 + 2x - 5$ )

D. ( f'$(x) =$$6x^2 + 4x - 10$ )

Correct Answer: B

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Question 2 View Details

A histogram of exam scores is shown below. What is the mean score?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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Question 3 View Details

Solve the system of equations using matrices:

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

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

C. $egin{bmatrix} 3 \ 4 \end{bmatrix}$

D. $egin{bmatrix} 4 \ 3 \end{bmatrix}$

Correct Answer: A

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Question 4 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 - 3 \$^2 + $y - 2$^$2 = 16$ )

C. $x - 2 \$^2 + $y - 3$^$2 = 9$ )

D. $x - 3 \$^2 + $y - 2$^$2 = 9$ )

Correct Answer: A

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Question 5 View Details

Find the sum of the first 10 terms of the geometric series $2x^2 + 3x + 1$.

A. $2x^{20} + 3x^{10} + 1$

B. $2x^{20} - 3x^{10} + 1$

Correct C. $2x^{10} + 3x^5 + 1$

D. $2x^{10} - 3x^5 + 1$

Correct Answer: C

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Question 6 View Details

Find the volume of the solid formed by revolving the region bounded by the curve (y = $\frac{1}{2}\\()x^2 - 2x + 3$\) about the x-axis, from \$(y = frac{1}{2}x^2 - 2x + 3\(x = 1$ to $x = 3$.

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

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

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

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

Correct Answer: A

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Question 7 View Details

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

Correct A. $x = 10^4$

B. $x = 10^2$

C. $x = 10^{-4}$

D. $x = 10^{-2}$

Correct Answer: A

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Question 8 View Details

Find the surface area of the solid formed by revolving the region bounded by the curve (y = $2x^2 - 4x + 1$\) about the x-axis, from $x = 0\\((y = 2x^2 - 4x + 1) about the x-axis, from$ to $x = 2$.

Correct A. $2 \pi 2^2 - 0^2 \$ $2 + 0$ )

B. $2 \pi 2^2 - 0^2 \$ $2 - 0$ )

C. $2 \pi 2^2 - 0^2 \$ $2 + 1$ )

D. $2 \pi 2^2 - 0^2 \$ $2 - 1$ )

Correct Answer: A

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Question 9 View Details

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

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

B. $2 2 \cdot 1 - 3 \cdot 3 \$ - 1$4 \cdot 2 - 1 \cdot 2$ + 3$4 \cdot 1 - 2 \cdot 3$ )

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

D. $2 2 \cdot 1 - 1 \cdot 3 \$ - 1$4 \cdot 2 - 3 \cdot 2$ + 3$4 \cdot 3 - 2 \cdot 1$ )

Correct Answer: A

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Question 10 View Details

Find the sum of the infinite geometric series $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots$.

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

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

C. $\frac{\frac{1}{2}}{1 - \frac{1}{8}}$

D. $\frac{\frac{1}{2}}{1 - \frac{1}{16}}$

Correct Answer: A

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Question 11 View Details

Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 2 & 3 \ 1 & 2 & 4 \end{array} ].

Correct A. -5

B. 5

C. -10

D. 10

Correct Answer: A

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Question 12 View Details

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

Correct A. $x \leq -3$ or $x \geq \frac{3}{2}$

B. $x \leq -3$ or $x \geq 1$

C. $x \leq 1$ or $x \geq -3$

D. $x \leq -1$ or $x \geq 3$

Correct Answer: A

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Question 13 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. $x - 3$^2 + $y - 2$^$2 = 16$ \)

C. $x - 2$^2 + $y - 3$^$2 = 9$ \)

D. $x - 3$^2 + $y - 2$^$2 = 9$ \)

Correct Answer: A

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Question 14 View Details

Solve the trigonometric equation $2 \sin^2 x + 3 $1x - 1 = 0$.

Correct A. $x = \frac{\pi}{6}$ or $x = \frac{5\pi}{6}$

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

C. $x = \frac{\pi}{3}$ or $x = \frac{2\pi}{3}$

D. $x = \frac{\pi}{2}$ or $x = \frac{3\pi}{2}$

Correct Answer: A

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Question 15 View Details

Find the sum of the first (n\) terms of the geometric progression $2, 6, 18, \\((n) terms of the geometric progression \ldots$.

Correct A. $S_n = \frac{2 6^n - 1}{5}$

B. $S_n = \frac{2 6^n - 1}{4}$

C. $S_n = \frac{2 6^n - 1}{5}$

D. $S_n = \frac{2 6^n - 1}{6}$

Correct Answer: A

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Question 16 View Details

Find the equation of the circle with center at ((2,3)) and passing through the point ((6,7)).

A. $x-2 \$^2 + $y-3$^$2 = 25$ )

Correct B. $x-2 \$^2 + $y-3$^$2 = 36$ )

C. $x-2 \$^2 + $y-3$^$2 = 49$ )

D. $x-2 \$^2 + $y-3$^$2 = 64$ )

Correct Answer: B

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Question 17 View Details

Solve the inequality $\frac{x^2 - 4}{x^2 - 9} > 0$.

Correct A. x in \( -infty, -3 \ cup (3, infty) )

B. x in \( -infty, -3 \ cup (3, infty) cup {0} )

C. x in \( -infty, -3 \ cup (3, infty) cup {4} )

D. x in \( -infty, -3 \ cup (3, infty) cup {0, 4} )

Correct Answer: A

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Question 18 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

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Question 19 View Details

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

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

B. $x = 1, y = 3$

C. $x = 3, y = 1$

D. $x = 3, y = 3$

Correct Answer: A

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Question 20 View Details

Find the area of the triangle with vertices ( A(0,0), B(3,0), C(0,4) ).

A. ( 6 )

Correct B. ( 12 )

C. ( 18 )

D. ( 24 )

Correct Answer: B

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Question 21 View Details

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

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

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

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

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

Correct Answer: B

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Question 22 View Details

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

Correct A. $x > -3$ or $x < \frac{1}{2}$

B. $x < -3$ or $x > \frac{1}{2}$

C. $x > -3$ or $x < \frac{1}{2}$

D. $x < -3$ or $x > \frac{1}{2}$

Correct Answer: A

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Question 23 View Details

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

Correct A. $\frac{14}{3}$

B. $\frac{16}{3}$

C. $\frac{18}{3}$

D. $\frac{20}{3}$

Correct Answer: A

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Question 24 View Details

Solve the trigonometric equation $\sin^2 x + \cos^2 x = 1$ using trigonometric identities.

Correct A. $\(1x =$1x\)

B. $\(1x = -$1x\)

C. $\(1x = -$1x\)

D. $\(1x =$1x\)

Correct Answer: A

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Question 25 View Details

Find the determinant of the matrix $egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}$ using the formula for 3x3 matrices.

Correct A. ( 0 )

B. ( 1 )

C. ( 2 )

D. ( 3 )

Correct Answer: A

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