Exam Body

Year

Subject

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POST UTME GREENFIELD UNIVERSITY 2019 Mathematics | Objective

Are you preparing for POST UTME GREENFIELD UNIVERSITY exams? Reviewing past 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.

Practice these randomly selected questions to test your readiness.

Question 1

Determine the value of 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

A histogram is constructed with the following data: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. What is the class width?

A. 2

Correct B. 4

C. 6

D. 8

Correct Answer: B

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Question 3

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).

A. -2

Correct B. -3

C. -4

D. -5

Correct Answer: B

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Question 4

Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, 11, ...

Correct A. 55

B. 60

C. 65

D. 70

Correct Answer: A

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Question 5

A set of numbers has a mean of 10 and a s\tandard deviation of 2. What is the probability that a randomly selected number from this set is greater than 12?

A. 0.25

B. 0.5

C. 0.75

Correct D. 0.9

Correct Answer: D

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Question 6

Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].

A. -120

B. 120

Correct C. 0

D. -60

Correct Answer: C

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Question 7

If f(x) = 3x^2 + 2x - 5, find f'(x) u\sing the chain rule.

Correct A. 6x + 2

B. 6x + 2 - 5

C. 6x + 2

D. 6x + 2 - 5

Correct Answer: A

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Question 8

A rec\tangular 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. 60

C. 30

D. 60

Correct Answer: A

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Question 9

Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).

Correct A. 0.24

B. 0.24

C. 0.24

D. 0.24

Correct Answer: A

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Question 10

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 = 4

Correct C. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

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

Correct Answer: C

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Question 11

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

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

B. \( \frac{x}{\( x^2 + 1 \ \)^{3/2}} )

C. \( \frac{1}{\( x^2 + 1 \ \)^{3/2}} )

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

Correct Answer: A

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Question 12

Solve for ( x ) in the equation \( 2^x + 2^{x+2} = 2^{x+3} \).

A. \( x = -1 \)

B. \( x = 0 \)

Correct C. \( x = 1 \)

D. \( x = 2 \)

Correct Answer: C

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Question 13

Find the area under the curve \( y = \sin x \) from \( x = 0 \) to \( x = \frac{pi}{2} \).

A. ( 1 )

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

C. \( \frac{pi}{2} \)

D. ( pi )

Correct Answer: B

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Question 14

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

Correct A. \( x in \( -infty, -3 \ \) cup (1, infty) )

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

C. \( x in \( -infty, -1 \ \) cup (1, infty) )

D. \( x in \( -infty, -1 \ \) cup (3, infty) )

Correct Answer: A

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Question 15

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 = 4 )

C. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )

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

Correct Answer: A

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Question 16

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{pmatrix} ].

Correct A. 18

B. -18

C. 20

D. -20

Correct Answer: A

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Question 17

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. What is the probability that a randomly selected score is between 60 and 90?

Correct A. 0.68

B. 0.95

C. 0.99

D. 0.999

Correct Answer: A

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Question 18

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2 and y = 4 - x^2 about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 19

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is not blue?

Correct A. \frac{2}{3}

B. \frac{3}{5}

C. \frac{5}{8}

D. \frac{7}{10}

Correct Answer: A

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Question 20

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

A. 8

Correct B. 16

C. 32

D. 64

Correct Answer: B

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Question 21

If \( vec{a} = egin{pmatrix} 2 \ 3 \end{pmatrix} \) and \( vec{b} = egin{pmatrix} -1 \ 4 \end{pmatrix} \), find the unit vector in the direction of \( vec{a} + vec{b} \).

Correct A. \begin{pmatrix} \frac{1}{\sqrt{26}} \\ \frac{3}{\sqrt{26}} \end{pmatrix}

B. \begin{pmatrix} \frac{1}{\sqrt{26}} \\ -\frac{3}{\sqrt{26}} \end{pmatrix}

C. \begin{pmatrix} -\frac{1}{\sqrt{26}} \\ \frac{3}{\sqrt{26}} \end{pmatrix}

D. \begin{pmatrix} -\frac{1}{\sqrt{26}} \\ -\frac{3}{\sqrt{26}} \end{pmatrix}

Correct Answer: A

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Question 22

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

Correct A. x = \frac{\pi}{4}

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

C. x = \frac{5\pi}{4}

D. x = \frac{7\pi}{4}

Correct Answer: A

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Question 23

Find the equation of the circle with center at ( (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 24

If ( f(x) = 2x^2 + 3x - 1 ), find the derivative of ( f(x) ) u\sing the power rule.

Correct A. f'(x) = 4x + 3

B. f'(x) = 4x^2 + 3

C. f'(x) = 2x + 3

D. f'(x) = 2x^2 + 3x

Correct Answer: A

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Question 25

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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