Exam Body

Year

Subject

Paper Type

POST UTME UNIPORT 2018 Mathematics | Objective

Are you preparing for POST UTME UNIPORT exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 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{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].

A. -120

B. 120

Correct C. 0

D. -60

Correct Answer: C

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

Question 2

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

Correct A. $ x \leq -3 $ or $ x \geq \frac{3}{2} $

B. $ x \leq -3 $ or $ x \geq 1 $

C. $ x \leq 1 $ or $ x \geq -3 $

D. $ x \leq -1 $ or $ x \geq 3 $

Correct Answer: A

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

Question 3

Find the volume of the frustum of a cone with height 10 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 40\pi cm^3

Correct B. 50\pi cm^3

C. 60\pi cm^3

D. 70\pi cm^3

Correct Answer: B

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

Question 4

Solve the equation $ x^2 - 4x + 4 = 0 $.

A. $ x = 0 $

Correct B. $ x = 2 $

C. $ x = 4 $

D. $ x = -2 $

Correct Answer: B

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

Question 5

Find the surface area of the sphere with radius 6 cm.

Correct A. 288\pi cm^2

B. 288\pi cm^2

C. 288\pi cm^2

D. 288\pi cm^2

Correct Answer: A

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

Question 6

Let $ S = {1, 2, 3, 4, 5} $ be a finite set. Find the number of elements in the power set of ( S ), denoted as ( P(S) ).

Correct A. 32

B. 31

C. 30

D. 29

Correct Answer: A

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

Question 7

A sequence is defined as $ a_n = 2n + 1 $ for $ n = 1, 2, 3, ldots $. Find the sum of the first five terms of this sequence.

A. 30

B. 31

Correct C. 32

D. 33

Correct Answer: C

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

Question 8

A geometric progression is defined as $ a_n = 2a_{n-1} + 1 $ for $ n = 2, 3, 4, ldots $ with $ a_1 = 2 $. Find the sum of the first five terms of this progression.

Correct A. 63

B. 62

C. 61

D. 60

Correct Answer: A

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

Question 9

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

A. 50\pi

Correct B. 25\pi

C. 75\pi

D. 100\pi

Correct Answer: B

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

Question 10

A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 3 cm. Find the volume of the prism.

Correct A. 150

B. 160

C. 170

D. 180

Correct Answer: A

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

Question 11

Find the area under the curve $ y = \frac{1}{2}x^2 $ from $ x = 0 $ to $ x = 4 $.

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

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

Question 12

A set of 10 numbers has a mean of 20 and a s\tandard deviation of 5. Find the probability that a randomly selected number from the set is greater than 25.

Correct A. 0.1587

B. 0.3413

C. 0.5

D. 0.8413

Correct Answer: A

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

Question 13

Find the equation of the circle with center ( (2, 3) ) and radius 4.

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

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

Question 14

A sequence is defined by the recurrence relation $ a_n = 2a_{n-1} + 1 $ with initial term $ a_1 = 3 $. Find the 5th term of the sequence.

A. 31

B. 33

Correct C. 35

D. 37

Correct Answer: C

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

Question 15

Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).

A. 12

B. 16

Correct C. 20

D. 24

Correct Answer: C

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

Question 16

Find the value of $x$ in the equation $2^x + 2^{x+1} = 3 cdot 2^{x+1}$.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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

Question 17

In the diagram below, the line $AB$ has a slope of $2$ and passes through the point $(1,3)$. Find the equation of the line in the form $y = mx + c$.

Correct A. y = 2x + 1

B. y = 2x - 1

C. y = 2x + 2

D. y = 2x - 2

Correct Answer: A

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

Question 18

Find the sum of the first $10$ terms of the geometric series $1 + 2 + 4 + 8 + \dotsb$.

A. 1023

Correct B. 1024

C. 1025

D. 1026

Correct Answer: B

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

Question 19

Solve the system of equations $x + y = 2$ and $xy = 1$.

Correct A. (1,1)

B. $ 1,-1 $

C. $ -1,1 $

D. $ -1,-1 $

Correct Answer: A

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

Question 20

Find the area of the triangle with vertices $(0,0)$, $(3,0)$, and $(0,2)$.

Correct A. 6

B. 12

C. 18

D. 24

Correct Answer: A

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

Question 21

Solve for x in the equation $ 2^x + 2^{x+2} = 3 cdot 2^{x+1} $.

A. $ x = -1 $

B. $ x = 0 $

Correct C. $ x = 1 $

D. $ x = 2 $

Correct Answer: C

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

Question 22

A random variable X has a probability distribution given by ( P(X) = egin{cases} 0.2 & \text{if } X = 1 \ 0.3 & \text{if } X = 2 \ 0.5 & \text{if } X = 3 \end{cases} ). Find the expected value of X.

A. 1.5

Correct B. 2

C. 2.5

D. 3

Correct Answer: B

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

Question 23

Find the determinant of the matrix $ egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix} $.

Correct A. -1

B. 0

C. 1

D. 2

Correct Answer: A

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

Question 24

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

A. $ x = 2, y = 2 $

Correct B. $ x = 3, y = 1 $

C. $ x = 4, y = 0 $

D. $ x = 5, y = -1 $

Correct Answer: B

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

Question 25

A binary number is represented as $ 1011_2 $. Convert it to decimal.

A. 3

Correct B. 5

C. 7

D. 9

Correct Answer: B

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