Exam Body

Year

Subject

Paper Type

POST UTME UNN 2024 Mathematics | Objective

Are you preparing for POST UTME UNN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

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 2

If the vectors [ \mathbf{a} = egin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix} \] and [ \mathbf{b} = egin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix} \], find the projection of [ \mathbf{a} \] onto [ \mathbf{b} \].

A. \begin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix}

B. \begin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix}

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

D. \begin{pmatrix} 1 \ 2 \ 3 \ 4 \end{pmatrix} + \begin{pmatrix} 2 \ 3 \ 4 \ 5 \end{pmatrix}

Correct Answer: C

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Question 3

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 = 25

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 36

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49

Correct Answer: A

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Question 4

Find the sum of the first [ 10 \] terms of the geometric progression [ 2, 6, 18, \ldots \].

A. 1048576

B. 2097152

Correct C. 4194304

D. 8388608

Correct Answer: C

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Question 5

If [ x^2 + 4x + 4 = 0 \], find the value of [ x \].

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 6

Let f(x) = x^3 - 6x^2 + 11x - 6. Find the value of f(2) u\sing the Remainder Theorem.

Correct A. 0

B. 2

C. 4

D. 6

Correct Answer: A

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Question 7

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

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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Question 8

Find the area under the curve y = x^2 from x = 0 to x = 4.

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

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Question 9

Solve the equation 2^x + 3^x = 5^x.

A. x = 1

Correct B. x = 2

C. x = 3

D. x = 4

Correct Answer: B

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Question 10

A circle has a radius of 4 cm. Find the area of the circle.

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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Question 11

In the diagram below, the volume of the rec\tangular prism is 240 cubic units. If the length is tripled and the width is doubled, what is the new volume?

Correct A. 720

B. 480

C. 360

D. 240

Correct Answer: A

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Question 12

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 13

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar having a height of 8, the second bar having a height of 12, the third bar having a height of 15, the fourth bar having a height of 10, and the fifth bar having a height of 5. What is the mean score of the class?

A. 10

B. 12

Correct C. 15

D. 18

Correct Answer: C

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Question 14

A circle has a radius of 4 cm. What is the area of the circle?

Correct A. 50.24

B. 50.26

C. 50.28

D. 50.30

Correct Answer: A

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Question 15

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the surface area of the prism?

A. 88

Correct B. 90

C. 92

D. 94

Correct Answer: B

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Question 16

Find the value of x in the equation \( \frac{x}{2} + 5 = 11 \).

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

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Question 17

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 18

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

A. 0

Correct B. \frac{\pi}{4}

C. \frac{\pi}{2}

D. \frac{3\pi}{4}

Correct Answer: B

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Question 19

A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

A. 30

B. 40

Correct C. 50

D. 60

Correct Answer: C

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Question 20

A \fraction is represented as \( \frac{1}{2} \). What is its decimal equivalent?

Correct A. 0.5

B. 0.25

C. 0.75

D. 1.0

Correct Answer: A

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Question 21

A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, and P\( X = 3 \) = 0.3. If two indep\endent random variables X and Y have the same probability distribution, find the probability that X + Y = 4.

A. 0.1

B. 0.2

Correct C. 0.3

D. 0.4

Correct Answer: C

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Question 22

Solve the equation \( x^2 + 2x - 6 = 0 \) u\sing the quadratic formula.

Correct A. 1 \pm \sqrt{7}

B. -1 \pm \sqrt{7}

C. 1 \pm \sqrt{5}

D. -1 \pm \sqrt{5}

Correct Answer: A

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Question 23

A right circular cone has a height of 10 cm and a base radius of 5 cm. Find the volume of the cone.

Correct A. 250\pi

B. 500\pi

C. 750\pi

D. 1000\pi

Correct Answer: A

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Question 24

A curve is defined by the equation \( y = x^2 + 2x - 6 \). Find the equation of the \tangent line to the curve at the point where x = 1.

Correct A. y = 2x - 3

B. y = 2x + 3

C. y = x^2 + 2x - 5

D. y = x^2 + 2x - 7

Correct Answer: A

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Question 25

A right triangle has a base of 5 cm and a height of 12 cm. Find the length of the hypotenuse.

A. 13 cm

B. 14 cm

Correct C. 15 cm

D. 16 cm

Correct Answer: C

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