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POST UTME AFE BABALOLA UNIVERSITY 2025 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 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Let X and Y be indep\endent random variables with probability distributions P$ X = 1 $ = 0.4 and P$ Y = 1 $ = 0.3. Find the probability that X and Y are both equal to 1.

Correct A. 0.12

B. 0.24

C. 0.36

D. 0.48

Correct Answer: A

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Question 2

Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and (6, 5).

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

B. \left$ x - 2 \right $^2 + \left$ y - 1 \right $^2 = 10

C. \left$ x - 6 \right $^2 + \left$ y - 5 \right $^2 = 15

D. \left$ x - 8 \right $^2 + \left$ y - 7 \right $^2 = 20

Correct Answer: A

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Question 3

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

Correct A. \left$ - \infty, - \frac{3}{2} \right $ \cup \left$ \frac{1}{2}, \infty \right $

B. \left$ - \infty, - \frac{1}{2} \right $ \cup \left$ \frac{3}{2}, \infty \right $

C. \left$ - \infty, \frac{1}{2} \right $ \cup \left$ \frac{3}{2}, \infty \right $

D. \left$ - \infty, - \frac{3}{2} \right $ \cup \left$ \frac{1}{2}, \infty \right $

Correct Answer: A

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Question 4

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

Correct A. 4

B. 6

C. 8

D. 10

Correct Answer: A

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Question 5

Let f(x) = x^2 + 2x - 3. Find the value of f$ -1 $.

Correct A. -4

B. -3

C. -2

D. -1

Correct Answer: A

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Question 6

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 7

A circle has a radius of 5 cm. Find the area of the circle.

Correct A. 25π

B. 50π

C. 75π

D. 100π

Correct Answer: A

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Question 8

Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...

Correct A. 3050

B. 3060

C. 3070

D. 3080

Correct Answer: A

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Question 9

A set of 5 numbers has a mean of 10. Find the sum of the numbers.

Correct A. 50

B. 60

C. 70

D. 80

Correct Answer: A

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Question 10

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 - 1

D. y = x + 1

Correct Answer: A

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Question 11

In the number base $8$, what is the value of the expression $[3 \times $ 2^2 + 5 $]_{8}$?

A. 23

Correct B. 27

C. 31

D. 35

Correct Answer: B

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Question 12

The equation of the circle with center $$ -2, 3 $$ and radius $4$ is given by $\left$ x + 2\right $^2 + \left$ y - 3\right $^2 = 16$. What is the equation of the circle with center $$ 1, -2 $$ and radius $3$?

Correct A. \left$ x - 1\right $^2 + \left$ y + 2\right $^2 = 9

B. \left$ x + 1\right $^2 + \left$ y - 2\right $^2 = 9

C. \left$ x - 1\right $^2 + \left$ y + 2\right $^2 = 16

D. \left$ x + 1\right $^2 + \left$ y - 2\right $^2 = 16

Correct Answer: A

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Question 13

A rec\tangular solid has dimensions $10 \text{ cm} \times 5 \text{ cm} \times 3 \text{ cm}$. What is the volume of the solid?

Correct A. 150

B. 200

C. 250

D. 300

Correct Answer: A

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Question 14

A vector $\mathbf{a}$ has magnitude $5$ and direction $30^\circ$ counterclockwise from the positive $x$-axis. A vector $\mathbf{b}$ has magnitude $3$ and direction $60^\circ$ counterclockwise from the positive $x$-axis. What is the magnitude of the sum $\mathbf{a} + \mathbf{b}$?

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 15

Simplify the expression $\frac{1}{1 + \sqrt{2}} + \frac{1}{1 - \sqrt{2}}$.

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 16

A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the population mean.

Correct A. 170.3 cm, 180.7 cm

B. 168.1 cm, 182.9 cm

C. 169.5 cm, 181.5 cm

D. 171.1 cm, 179.9 cm

Correct Answer: A

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Question 17

A matrix A has the following elements: \[A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}\]. If B = 2A, find the determinant of B.

A. 20

Correct B. 40

C. 60

D. 80

Correct Answer: B

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Question 18

A function f(x) = 2x^2 + 3x - 1 has a local maximum at x = -1. Find the value of the function at x = 0.

Correct A. -1

B. 0

C. 1

D. 2

Correct Answer: A

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Question 19

A random variable X has a probability distribution given by: \[P$ X = 1 $ = 0.3, P$ X = 2 $ = 0.4, P$ X = 3 $ = 0.3\]. Find the expected value of X.

A. 1.1

Correct B. 1.3

C. 1.5

D. 1.7

Correct Answer: B

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Question 20

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

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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Question 21

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Calculate the volume of the prism u\sing the formula V = lwh.

Correct A. 72

B. 96

C. 108

D. 120

Correct Answer: A

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Question 22

A circle has a radius of 4 cm. Calculate the area of the circle u\sing the formula A = πr^2.

A. 50.24

Correct B. 100.48

C. 200.96

D. 251.2

Correct Answer: B

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Question 23

A right-angled triangle has a base of 5 cm and a height of 12 cm. Calculate the length of the hypotenuse u\sing the Pythagorean theorem.

A. 13

B. 14

Correct C. 15

D. 16

Correct Answer: C

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Question 24

A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 2 cm. Calculate the surface area of the prism u\sing the formula SA = 2lw + 2lh + 2wh.

A. 104

B. 120

Correct C. 136

D. 152

Correct Answer: C

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Question 25

A right-angled triangle has a base of 3 cm and a height of 4 cm. Calculate the area of the triangle u\sing the formula A = 1/2bh.

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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