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POST UTME AFE BABALOLA UNIVERSITY 2023 Mathematics | Objective

Are you preparing for POST UTME AFE BABALOLA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the value of 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 2

Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).

Correct A. x = 1, y = 2

B. x = 2, y = 3

C. x = 3, y = 4

D. x = 4, y = 5

Correct Answer: A

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Question 3

Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 4

A car travels from city A to city B at an average speed of 60 km/h. If the dis\tance between the two cities is 240 km, how long does the journey take?

A. 4 hours

Correct B. 5 hours

C. 6 hours

D. 7 hours

Correct Answer: B

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Question 5

A bakery sells 250 loaves of bread per day. If each loaf \costs ₦120, how much money does the bakery make in a day?

A. ₦30,000

B. ₦30,500

Correct C. ₦31,000

D. ₦31,500

Correct Answer: C

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Question 6

In a geometric sequence with first term (a) and common ratio (r), find the sum of the first 5 terms if \( a = 2 \) and \( r = 3 \).

Correct A. 2\( 3^5 - 1 \)/\( 3 - 1 \)

B. 2\( 3^5 - 1 \)/\( 3 + 1 \)

C. 2\( 3^5 + 1 \)/\( 3 - 1 \)

D. 2\( 3^5 + 1 \)/\( 3 + 1 \)

Correct Answer: A

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Question 7

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

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

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

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

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

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. 50

C. 60

D. 70

Correct Answer: A

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Question 9

Solve the system of equations u\sing matrices: \begin{align*} x + y &= 4 \ 2x - y &= 3 \end{align*}

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

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

C. \begin{bmatrix} 3 \ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \ 3 \end{bmatrix}

Correct Answer: A

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Question 10

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is blue?

A. \frac{1}{5}

B. \frac{1}{10}

Correct C. \frac{3}{10}

D. \frac{3}{5}

Correct Answer: C

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Question 11

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. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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Question 12

Solve for x in the equation \( \frac{x}{2} + 3 = 7 \).

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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Question 13

Find the sum of the first 5 terms of the geometric sequence 2, 6, 18, ...

A. 62

B. 64

Correct C. 66

D. 68

Correct Answer: C

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Question 14

In the matrix \( egin{bmatrix} 2 & 4 \ 6 & 8 \end{bmatrix} \), find the determinant.

Correct A. -20

B. -16

C. -12

D. -8

Correct Answer: A

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Question 15

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

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

B. x = \frac{\pi}{2}

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

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

Correct Answer: A

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Question 16

Find the equation of the line pas\sing through the points (2,3) and (4,5) in the form y = mx + c, where m is the slope and c is the y-intercept.

A. y = 1x + 1

Correct B. y = 2x - 1

C. y = 3x + 2

D. y = 4x - 3

Correct Answer: B

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Question 17

Solve the system of equations u\sing matrices: \n\begin{align*} \n 2x + 3y &= 7 \\n 4x - 2y &= -3 \n\end{align*}

Correct A. x = 1, y = 2

B. x = 2, y = 1

C. x = 3, y = 4

D. x = 4, y = 3

Correct Answer: A

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Question 18

Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3 u\sing integration.

A. 30

B. 40

Correct C. 50

D. 60

Correct Answer: C

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Question 19

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 will be 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 20

Find the equation of the circle with center (2,3) and radius 4 in the form \( x - h \)^2 + \( y - k \)^2 = r^2.

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

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

C. \( x - 4 \)^2 + \( y - 3 \)^2 = 16

D. \( x - 2 \)^2 + \( y - 4 \)^2 = 16

Correct Answer: A

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