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POST UTME VERITAS UNIVERSITY 2017 Mathematics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the area under the curve $ y = \frac{1}{2}x^2 + 3x - 2 $ from $ x = 0 $ to $ x = 4 $.

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 2

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

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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Question 3

Find the derivative of the function $ y = \sin^2 x $ u\sing the chain rule.

Correct A. $ 2\sin x \cos x $

B. $ \cos x $

C. $ \sin x $

D. $ \cos^2 x $

Correct Answer: A

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Question 4

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 5

A polynomial function has a degree of 4 and has roots at $ x = -2, 1, 3 $. Find the polynomial function.

Correct A. $ x^4 + 6x^3 - 3x^2 - 18x + 18 $

B. $ x^4 + 6x^3 - 3x^2 + 18x - 18 $

C. $ x^4 - 6x^3 - 3x^2 + 18x + 18 $

D. $ x^4 - 6x^3 + 3x^2 - 18x - 18 $

Correct Answer: A

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Question 6

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

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 7

Find the value of $ \frac{1}{2} \times 3 \times 4 $ without u\sing a calculator.

A. 3

B. 6

Correct C. 12

D. 24

Correct Answer: C

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Question 8

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

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, 3 $ ∪ (4, ∞)

C. $ -∞, -3 $ ∪ (1, ∞)

D. $ -∞, 1 $ ∪ (3, ∞)

Correct Answer: A

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Question 9

Find the equation of the line pas\sing through the points (2, 3) and (4, 5).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x + 2

D. y = x - 2

Correct Answer: A

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Question 10

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

Correct A. x = 3, y = 1

B. x = 1, y = 3

C. x = 2, y = 2

D. x = 4, y = 0

Correct Answer: A

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Question 11

Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

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Question 12

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

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (1, ∞)

C. $ -∞, 1 $ ∪ (3, ∞)

D. $ -∞, -3 $ ∪ (1, ∞)

Correct Answer: A

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Question 13

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 = 16

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

Correct Answer: A

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Question 14

Solve the equation x^2 + 4x + 4 = 0.

Correct A. x = -2

B. x = -1

C. x = 1

D. x = 2

Correct Answer: A

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Question 15

Find the value of 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 16

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

Correct A. \begin{pmatrix} 1.6 \ 2.4 \end{pmatrix}

B. \begin{pmatrix} 0.8 \ 1.2 \end{pmatrix}

C. \begin{pmatrix} 2.4 \ 3.6 \end{pmatrix}

D. \begin{pmatrix} 3.2 \ 4.8 \end{pmatrix}

Correct Answer: A

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Question 17

Find the determinant of the matrix $ \begin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{pmatrix} $.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 18

A random experiment has two indep\endent events, A and B, with probabilities 0.4 and 0.6, respectively. Find the probability that at least one of the events occurs.

A. 0.8

Correct B. 0.9

C. 0.7

D. 0.5

Correct Answer: B

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Question 19

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 = 25

Correct C. $ x - 2 $^2 + $ y - 3 $^2 = 36

D. $ x - 2 $^2 + $ y - 3 $^2 = 49

Correct Answer: C

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Question 20

A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. Find the z-score of a score of 70.

A. 0.5

Correct B. 1

C. 1.5

D. 2

Correct Answer: B

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Question 21

Determine the value of $\sum_{n=1}^{\infty} \frac{1}{n^2}$ u\sing the properties of infinite geometric series.

Correct A. $\frac{\pi^2}{6}$

B. $\frac{\pi^2}{12}$

C. $\frac{\pi^2}{24}$

D. $\frac{\pi^2}{48}$

Correct Answer: A

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Question 22

Solve the system of linear equations u\sing matrices: $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix}$

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

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

C. $\begin{bmatrix} -1 \ 1 \end{bmatrix}$

D. $\begin{bmatrix} 1 \ -1 \end{bmatrix}$

Correct Answer: A

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Question 23

Find the equation of the circle with center $\left$ \frac{3}{2}, \frac{5}{4} \right $$ and radius $\frac{5}{4}$.

Correct A. $\left$ x - \frac{3}{2} \right $^2 + \left$ y - \frac{5}{4} \right $^2 = \left$ \frac{5}{4} \right $^2$

B. $\left$ x - \frac{5}{4} \right $^2 + \left$ y - \frac{3}{2} \right $^2 = \left$ \frac{5}{4} \right $^2$

C. $\left$ x - \frac{3}{2} \right $^2 + \left$ y - \frac{5}{4} \right $^2 = \left$ \frac{3}{2} \right $^2$

D. $\left$ x - \frac{5}{4} \right $^2 + \left$ y - \frac{3}{2} \right $^2 = \left$ \frac{3}{2} \right $^2$

Correct Answer: A

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Question 24

A histogram represents the distribution of exam scores with a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is between 60 and 80.

Correct A. 0.68

B. 0.84

C. 0.95

D. 0.99

Correct Answer: A

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Question 25

Solve the quadratic equation $x^2 + 5x + 6 = 0$ u\sing the quadratic formula.

Correct A. $x = -2$

B. $x = -3$

C. $x = 2$

D. $x = 3$

Correct Answer: A

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