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POST UTME IGBINEDION UNIVERSITY 2018 Mathematics | Objective

Are you preparing for POST UTME IGBINEDION UNIVERSITY 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.

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Question 1

Given the matrix A = egin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix}, find the determinant of A.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 2

A binary operation \* on the set of real numbers is defined as follows: a \* b = a^2 + b^2. Find the value of \( 2 \* 3 \) \* 4.

A. 20

Correct B. 25

C. 30

D. 35

Correct Answer: B

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Question 3

Solve the quadratic equation x^2 + 5x + 6 = 0.

Correct A. -2

B. -3

C. -4

D. -5

Correct Answer: A

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Question 4

A number is chosen at random from the set {1, 2, 3, 4, 5, 6}. What is the probability that the number chosen is even?

Correct A. 1/2

B. 2/3

C. 3/4

D. 4/5

Correct Answer: A

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Question 5

A matrix A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} is multiplied by a scalar k. Find the value of k such that the product is a scalar matrix.

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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Question 6

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24\pi cm^3

Correct B. 48\pi cm^3

C. 96\pi cm^3

D. 192\pi cm^3

Correct Answer: B

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Question 7

Solve the equation \( x^3 + 2x^2 - 7x + 12 = 0 \) u\sing the factor theorem.

Correct A. x = 1

B. x = -1

C. x = 3

D. x = -3

Correct Answer: A

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Question 8

In the triangle ABC, angle A = 30°, angle B = 60°, and side AB = 6 cm. Find the length of side AC.

A. 4\sqrt{3} cm

Correct B. 6\sqrt{3} cm

C. 8\sqrt{3} cm

D. 12\sqrt{3} cm

Correct Answer: B

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Question 9

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 = 32

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 64

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 256

Correct Answer: A

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Question 10

Find the derivative of the function f(x) = 3x^2 + 2x - 5.

Correct A. 6x + 2

B. 6x - 2

C. 12x + 2

D. 12x - 2

Correct Answer: A

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Question 11

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 12

A set A contains 5 elements. If B is a subset of A, what is the maximum number of elements in B?

A. 3

B. 4

Correct C. 5

D. 6

Correct Answer: C

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Question 13

Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ... ).

A. 1230

B. 1240

Correct C. 1250

D. 1260

Correct Answer: C

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Question 14

In the diagram below, what is the value of x?

A. 3

B. 4

C. 5

Correct D. 6

Correct Answer: D

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Question 15

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, 1 \) ∪ (3, ∞)

Correct C. \( -∞, -1 \) ∪ (1, ∞)

D. \( -∞, 3 \) ∪ (1, ∞)

Correct Answer: C

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Question 16

A histogram is a graphical representation of the distribution of a continuous random variable. What is the main advantage of u\sing a histogram over a bar chart?

Correct A. It allows for the visualization of the shape of the distribution

B. It is easier to read than a bar chart

C. It is more accurate than a bar chart

D. It is more versatile than a bar chart

Correct Answer: A

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Question 17

Given the matrix A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}, find the determinant of A.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 18

In the diagram below, what is 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 = 32

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 64

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 128

Correct Answer: A

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Question 19

Given the vectors u = egin{bmatrix} 1 \ 2 \end{bmatrix} and v = egin{bmatrix} 3 \ 4 \end{bmatrix}, find the dot product of u and v.

Correct A. 11

B. 13

C. 15

D. 17

Correct Answer: A

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Question 20

A random experiment consists of rolling a fair six-sided die. What is the probability that the number rolled is greater than 4?

A. 1/6

B. 1/3

C. 1/2

Correct D. 2/3

Correct Answer: D

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Question 21

Find the equation of the circle with centre at ((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 + \( y-2 \)^2 = 16 )

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

Correct Answer: A

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Question 22

A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 3 \), with initial term \( a_1 = 2 \). Find the sum of the first 5 terms of the sequence.

Correct A. \( 2 + 7 + 17 + 37 + 79 \)

B. \( 2 + 5 + 13 + 29 + 61 \)

C. \( 2 + 4 + 12 + 28 + 60 \)

D. \( 2 + 6 + 14 + 30 + 62 \)

Correct Answer: A

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Question 23

The mean of 5 numbers is 12. If one of the numbers is 25, find the sum of the other 4 numbers.

Correct A. ( 48 )

B. ( 52 )

C. ( 56 )

D. ( 60 )

Correct Answer: A

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Question 24

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

Correct A. ( 36 )

B. ( 48 )

C. ( 60 )

D. ( 72 )

Correct Answer: A

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Question 25

Solve the inequality \( |x - 2| > 3 \).

Correct A. \( x < -1 \) or \( x > 5 \)

B. \( x < 1 \) or \( x > 5 \)

C. \( x < -1 \) or \( x > 4 \)

D. \( x < 1 \) or \( x > 4 \)

Correct Answer: A

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