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POST UTME VERITAS UNIVERSITY 2020 Mathematics | Objective

Prepare for your exams with POST UTME VERITAS UNIVERSITY 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.

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Question 1 View Details

Find the derivative of the function ( f(x) = $\frac{x^2 + 2x - 3}{x^2 - 4}$\)\) ) using the quotient rule.

Correct A. $\frac{2x x^2 - 4$ \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

B. $\frac{2x x^2 - 4$ \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

C. $\frac{2x x^2 - 4$ \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

D. $\frac{2x x^2 - 4$ \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

Correct Answer: A

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Question 2 View Details

A histogram of exam scores is shown below. If the mean score is 60 and the standard deviation is 10, what is the probability that a randomly selected student scored above 70?

A. 0.25

B. 0.5

Correct C. 0.75

D. 0.9

Correct Answer: C

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Question 3 View Details

Simplify the expression $\sqrt[3]{64x^6y^3}$.

Correct A. $4x^2y$

B. $2x^2y$

C. $8x^2y$

D. $16x^2y$

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

A polynomial function is defined as ( f(x) = $(x^3 - 2x^2 + 5x - 1$\) ). Find the value of $f -1 \\((x^3 - 2x^2 + 5x - 1) ). Find the value of \$ ).

A. 3

Correct B. -3

C. 5

D. -5

Correct Answer: B

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Question 6 View Details

Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 10

Correct B. 12

C. 14

D. 16

Correct Answer: B

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Question 7 View Details

Solve for x in the equation: $\sin^2 x \$ + \$\cos^2(x)$$= 1 ).$

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

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

C. $x = \frac{3\pi}{4}$

D. $x = \frac{5\pi}{4}$

Correct Answer: A

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Question 8 View Details

Find the area under the curve of the function ( f(x) = $2x^2 + 3x - 1$ ) from $x = 0$ to $x = 2$.

A. 10

B. 12

Correct C. 14

D. 16

Correct Answer: C

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Question 9 View Details

Determine the value of the infinite geometric series: $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots$.

A. 1

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

C. $\frac{1}{4}$\)

D. $\frac{1}{8}$\)

Correct Answer: B

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Question 10 View Details

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

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

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

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

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

Correct Answer: A

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Question 11 View Details

Let $\mathbf{a} = egin{pmatrix} 1 \ 2 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 3 \ 4 \end{pmatrix}$. Find the projection of ( mathbf{b} ) onto ( mathbf{a} ).

Correct A. $egin{pmatrix} 1.5 \ 3 \end{pmatrix}$

B. $egin{pmatrix} 2 \ 4 \end{pmatrix}$

C. $egin{pmatrix} 3 \ 6 \end{pmatrix}$

D. $egin{pmatrix} 4 \ 8 \end{pmatrix}$

Correct Answer: A

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Question 12 View Details

Evaluate the definite integral: $int_{0}^{1} x^2 $1x , dx$.

Correct A. $-\(1x + \frac{1}{3}$1x\)

B. $\(1x + \frac{1}{3}$1x\)

C. $-\(1x - \frac{1}{3}$1x\)

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

Correct Answer: A

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Question 13 View Details

Solve the equation: $x^3 - 6x^2 + 11x - 6 = 0$.

Correct A. $x = 1, 2, 3$

B. $x = 1, 3, 6$

C. $x = 2, 3, 6$

D. $x = 1, 2, 6$

Correct Answer: A

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Question 14 View Details

Find the area under the curve: $y = x^2 $1x$ from $x = 0$ to $x = \pi$.

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

Correct B. $\frac{1}{3} \pi^3$

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

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

Correct Answer: B

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Question 15 View Details

Determine the value of ( 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 16 View Details

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

Correct A. 3,261

B. 3,261.5

C. 3,262

D. 3,262.5

Correct Answer: A

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Question 17 View Details

Solve the system of linear equations using matrices: \begin{align*} x + 2y - z &= 3 \ 2x - 3y + 4z &= 2 \ -x + y + 2z &= -1 \end{align*}

Correct A. \begin{pmatrix} 1 \ -2 \ 3 \end{pmatrix}

B. \begin{pmatrix} 2 \ -1 \ 4 \end{pmatrix}

C. \begin{pmatrix} 3 \ 2 \ -1 \end{pmatrix}

D. \begin{pmatrix} 4 \ 3 \ 2 \end{pmatrix}

Correct Answer: A

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Question 18 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. $y = -2x + 1$

D. $y = -2x - 1$

Correct Answer: A

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Question 19 View Details

Solve the quadratic equation \$(x^2 + 4x + 4$$= 0.$\)

Correct A. \begin{pmatrix} -2 \\ 2 \end{pmatrix}

B. \begin{pmatrix} -1 \\ 1 \end{pmatrix}

C. \begin{pmatrix} 1 \\ -1 \end{pmatrix}

D. \begin{pmatrix} 2 \\ -2 \end{pmatrix}

Correct Answer: A

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Question 20 View Details

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

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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Question 21 View Details

Solve the system of linear equations using substitution: \begin{align*} x + y &= 3 \ 2x - y &= 1 \end{align*}

Correct A. \begin{pmatrix} 2 \\ 1 \end{pmatrix}

B. \begin{pmatrix} 1 \\ 2 \end{pmatrix}

C. \begin{pmatrix} 3 \\ 0 \end{pmatrix}

D. \begin{pmatrix} 0 \\ 3 \end{pmatrix}

Correct Answer: A

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Question 22 View Details

Find the equation of the circle with center (2, 3) and radius 4.

A. $x - 2$^2 + $y - 3$^$2 = 16$

B. $x - 2$^2 + $y - 3$^$2 = 32$

C. $x - 2$^2 + $y - 3$^$2 = 64$

D. $x - 2$^2 + $y - 3$^$2 = 128$

Correct Answer: VIEW ANSWER

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Question 23 View Details

Determine the surface area of the given solid formed by revolving the region bounded by the parabola (y = $x^2$\) and the line $y = 4\\((y = x^2) and the line$ about the x-axis.

A. (16pi)

B. (32pi)

Correct C. (64pi)

D. (128pi)

Correct Answer: C

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Question 24 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?

A. 0.135

B. 0.341

C. 0.674

Correct D. 0.841

Correct Answer: D

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Question 25 View Details

Find the equation of the tangent line to the curve $y = \frac{1}{x}\\(tangent line to the curve (y =$ at the point where $x = 2$.

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

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

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

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

Correct Answer: A

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