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

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Question 1 View Details

Find the value of x in the equation \(2x^2 + 5x - 3 = 0\) using the quadratic formula.

Correct A. 1

B. -1

C. 2

D. -2

Correct Answer: A

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Question 2 View Details

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

Correct A. \(10^4\)

B. \(10^2\)

C. \(10^8\)

D. \(10^6\)

Correct Answer: A

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Question 3 View Details

A circle has an equation of the form \(x - h \\)^2 + \(y - k\)^\(2 = r\^2\) ). If the center of the circle is at (3, 4) and the radius is 5, find the equation of the circle.

Correct A. \(x - 3\)^2 + \(y - 4\)^\(2 = 25\)

B. \(x - 4\)^2 + \(y - 3\)^\(2 = 25\)

C. \(x - 3\)^2 + \(y - 4\)^\(2 = 9\)

D. \(x - 4\)^2 + \(y - 3\)^\(2 = 9\)

Correct Answer: A

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Question 4 View Details

Find the value of x in the equation \(x^3 - 6x^2 + 11x - 6 = 0\) using synthetic division.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 5 View Details

A vector \(\vec{a}\) has a magnitude of 5 and is directed at an angle of 60° to the x-axis. Find the x and y components of the vector.

Correct A. 2.5, 4.33

B. 4.33, 2.5

C. 3.33, 3.33

D. 2.5, 2.5

Correct Answer: A

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Question 6 View Details

Find the value of \(\(1\left \frac{\pi}{4} + \arc\)12 \right\)\) using the sum identity for \tangent.

A. 2

Correct B. \(\sqrt{5}\)

C. -\(\sqrt{5}\)

D. -2

Correct Answer: B

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Question 7 View Details

Determine the value of (x\) in the equation \(\\((x) in the equation \begin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = 0\).

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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Question 8 View Details

A sequence is defined by \(a_n = \frac{2n + 1}{n^2 + 1}\). Find the sum of the first 5 terms of the sequence.

Correct A. \(\frac{13}{6}\)\)

B. \(\frac{15}{8}\)\)

C. \(\frac{17}{10}\)\)

D. \(\frac{19}{12}\)\)

Correct Answer: A

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Question 9 View Details

A histogram is shown below. Find the mean of the data set.

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

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Question 10 View Details

Solve the inequality \(x^2 + 4x - 5 > 0\).

Correct A. \(-\infty, -1\) \cup \(5, \infty\)

B. \(-\infty, -5\) \cup \(1, \infty\)

C. \(-\infty, 1\) \cup \(5, \infty\)

D. \(-\infty, -5\) \cup \(1, \infty\)

Correct Answer: A

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Question 11 View Details

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

A. x \ln \(x^2 + 1\)

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

Correct C. \(\frac{1}{2}\)\) \(\frac{2x}{x^2 + 1}\)\)\)

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

Correct Answer: C

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Question 12 View Details

Solve the system of equations using matrices: \begin{align*} x + y + z &= 6, \ 2x - y + 3z &= 7, \ x - 2y + z &= -2 \end{align*}.

Correct A. [1, 2, 3]

B. [2, -1, 1]

C. [3, 1, -1]

D. [1, -1, 2]

Correct Answer: A

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Question 13 View Details

Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 4\) using integration.

Correct A. 64

B. 16

C. 32

D. 48

Correct Answer: A

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Question 14 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. 50

C. 60

D. 70

Correct Answer: A

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Question 15 View Details

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

Correct A. [0, \(\frac{\pi}{2}\)\), \pi, \(\frac{3\pi}{2}\)\)]

B. [0, \pi, 2pi]

C. [\(\frac{\pi}{2}\)\), \pi, \(\frac{3\pi}{2}\)\)]

D. [0, \(\frac{\pi}{4}\)\), \(\frac{3\pi}{4}\)\)]

Correct Answer: A

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Question 16 View Details

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

Correct A. 4

B. 5

C. 6

D. 7

Correct Answer: A

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Question 17 View Details

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

A. 2

B. 4

C. 8

Correct D. 16

Correct Answer: D

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Question 18 View Details

Find the surface area of the sphere with radius 5 cm.

Correct A. 314.16

B. 314.16

C. 314.16

D. 314.16

Correct Answer: A

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Question 19 View Details

A sequence is defined by the formula \(a_n = 2n + 1\). Find the 10th term of the sequence.

A. 21

B. 22

Correct C. 23

D. 24

Correct Answer: C

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Question 20 View Details

A histogram shows the distribution of exam scores. What is the mean of the scores?

A. 50

B. 60

Correct C. 70

D. 80

Correct Answer: C

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Question 21 View Details

Find the volume of the frustum of a cone with height 10 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 100π cm³

B. 200π cm³

Correct C. 300π cm³

D. 400π cm³

Correct Answer: C

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Question 22 View Details

A set of 5 numbers has an average of 10. If 5 is added to each number, what is the new average?

A. 8

B. 10

Correct C. 12

D. 15

Correct Answer: C

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Question 23 View Details

Solve for x in the equation: \(\frac{1}{x} + \frac{1}{2x} = \frac{3}{4x}\).

A. 4

Correct B. 8

C. 16

D. 32

Correct Answer: B

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Question 24 View Details

Find the surface area of the sphere with radius 6 cm.

Correct A. 288π cm²

B. 288π cm²

C. 288π cm²

D. 288π cm²

Correct Answer: A

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Question 25 View Details

A matrix A has elements \(a11 = 2\), \(a12 = 3\), \(a21 = 4\), \(a22 = 5\). Find the determinant of A.

A. -1

B. 1

Correct C. 3

D. 5

Correct Answer: C

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