Exam Body

Year

Subject

Paper Type

POST UTME BOWEN UNIVERSITY 2024 Mathematics | Objective

Are you preparing for POST UTME BOWEN UNIVERSITY 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.

Practice these randomly selected questions to test your readiness.

Question 1

Find the determinant of the matrix $ egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} $

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $

Correct A. -2

B. 0

C. 2

D. 4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Find the value of $ \sin 2\theta $ given that $ \sin \theta = \frac{3}{5} $ and $ \cos \theta = \frac{4}{5} $

Correct A. \frac{24}{25}

B. \frac{16}{25}

C. \frac{20}{25}

D. \frac{12}{25}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

Solve the system of linear equations $ egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} $

Correct A. (1, 1)

B. (2, 0)

C. $ 3, -1 $

D. $ 4, -2 $

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

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 = -2x + 1

D. y = -2x - 1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

A cylindrical \tank with a radius of 5m and height of 10m is filled with water. Find the volume of water in the \tank, given that the water level is 8m above the base of the \tank.

A. 160\pi \text{m}^3

Correct B. 200\pi \text{m}^3

C. 240\pi \text{m}^3

D. 280\pi \text{m}^3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

Solve the equation $ x^2 + 4x + 4 = 0 $ u\sing the quadratic formula.

Correct A. $ x = -2 \pm \sqrt{2} $

B. $ x = -2 \pm \sqrt{3} $

C. $ x = -2 \pm \sqrt{4} $

D. $ x = -2 \pm \sqrt{5} $

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A circle has a diameter of 14cm. Find the area of the circle.

A. 22\pi \text{cm}^2

Correct B. 49\pi \text{cm}^2

C. 98\pi \text{cm}^2

D. 196\pi \text{cm}^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A rec\tangular prism has a length of 6cm, width of 4cm, and height of 3cm. Find the volume of the prism.

A. 48 \text{cm}^3

Correct B. 72 \text{cm}^3

C. 96 \text{cm}^3

D. 108 \text{cm}^3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A cone has a radius of 4cm and height of 6cm. Find the volume of the cone.

A. 16\pi \text{cm}^3

Correct B. 32\pi \text{cm}^3

C. 48\pi \text{cm}^3

D. 64\pi \text{cm}^3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Let $ A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} $ and $ B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix} $. Find ( det(AB) ) if ( det(A) = -1 ) and ( det(B) = 2 ).

Correct A. -2

B. 2

C. 4

D. -4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?

Correct A. \frac{3}{8}

B. \frac{1}{4}

C. \frac{3}{14}

D. \frac{1}{7}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

Find the derivative of ( f(x) = 3x^2 - 2x + 1 ) u\sing the chain rule.

Correct A. 6x - 2

B. 3x^2 - 2

C. 2x^2 + 1

D. x^2 - 1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

Solve the equation $ \log_2\( x \ $ + \log_2$ x^2 $ = 5 ).

Correct A. x = 16

B. x = 8

C. x = 4

D. x = 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

A random sample of 25 students from a large population has a mean height of 175 cm with a s\tandard deviation of 5 cm. Calculate the probability that a randomly selected student from this sample has a height greater than 180 cm.

A. 0.1587

B. 0.3413

Correct C. 0.4772

D. 0.6915

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

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

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

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 = 16

C. $ x+2 $^2 + $ y+3 $^2 = 16

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

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

Solve the system of equations $ \begin{cases} x + y = 4 \ 2x - 3y = -3 \end{cases} $.

Correct A. \{ (1, 3), (2, 2) \}

B. \{ (1, 2), (2, 3) \}

C. \{ (2, 1), (3, 2) \}

D. \{ (3, 1), (4, 2) \}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

Find the determinant of the matrix \[ \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \].

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

In a base-8 number system, what is the value of the digit $x$ in the number $x_{8}$ if it is known that $x_{8} + 12_{8} = 23_{8}$?

Correct A. 3

B. 4

C. 5

D. 6

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

Let $A = egin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$ and $B = egin{pmatrix} 5 & 6 \ 7 & 8 \end{pmatrix}$. Find the determinant of the matrix $AB$.

A. -12

Correct B. -16

C. -20

D. -24

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

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

A. 0.68

B. 0.76

Correct C. 0.84

D. 0.92

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Solve for $x$: $\frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

A binary operation $\circ$ is defined as $a \circ b = ab + a + b$. Find the value of $2 \circ 3$.

A. 9

B. 10

Correct C. 11

D. 12

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support