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POST UTME DELSU 2023 Mathematics | Objective

Are you preparing for POST UTME DELSU 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.

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Question 1

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

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Question 2

Solve for x in the equation $ \sin^2 x + \cos^2 x = 1 $.

A. $ x = \frac{pi}{2} $

Correct B. $ x = \frac{pi}{4} $

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

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

Correct Answer: B

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Question 3

Find the volume of the cylinder with radius 6 and height 8.

Correct A. ( 384pi )

B. ( 384pi )

C. ( 384pi )

D. ( 384pi )

Correct Answer: A

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Question 4

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

Correct A. $ x < -\frac{3}{2} $ or $ x > \frac{1}{2} $

B. $ x < -\frac{3}{2} $ or $ x < \frac{1}{2} $

C. $ x > -\frac{3}{2} $ or $ x < \frac{1}{2} $

D. $ x < -\frac{3}{2} $ or $ x > \frac{1}{2} $

Correct Answer: A

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Question 5

A bag contains 5 red marbles, 8 white marbles, and 12 blue marbles. If a marble is drawn at random, what is the probability that it is not blue?

Correct A. $ \frac{3}{5} $

B. $ \frac{3}{8} $

C. $ \frac{3}{12} $

D. $ \frac{3}{25} $

Correct Answer: A

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Question 6

Find the value of k such that the quadratic equation $ x^2 + kx + 16 = 0 $ has equal roots.

A. 4

Correct B. -4

C. 8

D. -8

Correct Answer: B

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Question 7

A histogram of exam scores for a class of 50 students is shown below. If the mean score is 75, what is the median score?

A. 70

Correct B. 75

C. 80

D. 85

Correct Answer: B

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Question 8

Solve the inequality $ 2x^2 - 5x - 3 > 0 $ u\sing the quadratic formula.

Correct A. x < -1 or x > 3

B. x > -1 or x < 3

C. x < 1 or x > 3

D. x > 1 or x < 3

Correct Answer: A

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Question 9

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

Correct A. 6x - 2

B. 3x^2 - 2

C. 2x - 1

D. x^2 - 1

Correct Answer: A

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Question 10

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, what is their total daily profit?

Correct A. ₦1250

B. ₦12500

C. ₦125000

D. ₦1250000

Correct Answer: A

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Question 11

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

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

B. It is more suitable for categorical data.

C. It is easier to create than a bar chart.

D. It is more suitable for numerical data.

Correct Answer: A

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Question 12

A sequence is defined as $ a_n = 2n + 1 $. Find the 10th term of the sequence.

A. 21

B. 22

Correct C. 23

D. 24

Correct Answer: C

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Question 13

A polynomial function is defined as (f(x) = x^3 - 6x^2 + 11x - 6). Find the value of (f(2)).

Correct A. 0

B. 2

C. 4

D. 6

Correct Answer: A

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Question 14

A curve is defined by the equation $ y = \frac{1}{x} $. Find the derivative of the curve at $ x = 1 $.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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Question 15

A solid is formed by revolving the region bounded by the curve $ y = x^2 $ and the line $ x = 2 $ about the x-axis. Find the volume of the solid.

A. 16π

B. 32π

Correct C. 64π

D. 128π

Correct Answer: C

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Question 16

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. 48\pi cm^3

B. 64\pi cm^3

Correct C. 96\pi cm^3

D. 128\pi cm^3

Correct Answer: C

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Question 17

Solve the inequality \frac{x^2 - 4x - 5}{x^2 - 6x + 8} > 0.

Correct A. \left$ -\infty, -1\right $ \cup \left$ 5, \infty\right $

B. \left$ -\infty, -2\right $ \cup \left$ 2, \infty\right $

C. \left$ -\infty, 2\right $ \cup \left$ 5, \infty\right $

D. \left$ -\infty, -1\right $ \cup \left$ 2, \infty\right $

Correct Answer: A

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Question 18

Find the area under the curve y = 2x^2 + 3x - 4 from x = 0 to x = 2.

A. 14

Correct B. 16

C. 18

D. 20

Correct Answer: B

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Question 19

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

A. 124

Correct B. 126

C. 128

D. 130

Correct Answer: B

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Question 20

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

A. \left$ -2, \infty\right $

Correct B. \left$ -\infty, -2\right $

C. \left$ -\infty, 2\right $

D. \left$ 2, \infty\right $

Correct Answer: B

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Question 21

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

Correct A. -2

B. 2

C. -1

D. 1

Correct Answer: A

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Question 22

A fair six-sided die is rolled. If the number 5 appears, a second die is rolled. What is the probability that the second die shows an even number?

Correct A. \frac{1}{3}

B. \frac{1}{2}

C. \frac{2}{3}

D. \frac{3}{4}

Correct Answer: A

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Question 23

In the diagram below, the line $l$ has equation $y = 2x - 3$. Find the coordinates of the point on the line $l$ that is 5 units from the origin.

Correct A. (4, 7)

B. (3, 5)

C. (5, 13)

D. (2, 1)

Correct Answer: A

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Question 24

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 25

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

Correct A. x = -2

B. x = 2

C. x = -1

D. x = 1

Correct Answer: A

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