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POST UTME WELLSPRING UNIVERSITY 2022 Mathematics | Objective

Are you preparing for POST UTME WELLSPRING UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

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

Find the derivative of ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

Correct A. ( f'(x) = \frac{-2x}{$ x^2 + 1 $^2} )

B. ( f'(x) = \frac{2x}{$ x^2 + 1 $^2} )

C. ( f'(x) = \frac{2}{$ x^2 + 1 $^2} )

D. ( f'(x) = \frac{-2}{$ x^2 + 1 $^2} )

Correct Answer: A

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Question 3

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

Correct A. ( 72 ) cm^3

B. ( 48 ) cm^3

C. ( 36 ) cm^3

D. ( 24 ) cm^3

Correct Answer: A

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Question 4

Solve the matrix equation $ egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} $.

Correct A. $ x = 1, y = 2 $

B. $ x = 2, y = 1 $

C. $ x = 1, y = 1 $

D. $ x = 2, y = 2 $

Correct Answer: A

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Question 5

Find the area of the triangle with vertices ( A(1,2) ), ( B(3,4) ), and ( C(2,1) ).

Correct A. ( 6 )

B. ( 8 )

C. ( 10 )

D. ( 12 )

Correct Answer: A

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Question 6

A random sample of 25 students from a university had an average height of 175 cm with a s\tandard deviation of 5 cm. If the heights of the students are normally distributed, what is the probability that a randomly selected student will be taller than 180 cm?

Correct A. 0.1587

B. 0.3413

C. 0.4772

D. 0.6179

Correct Answer: A

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Question 7

In the diagram below, the circle with center O has a radius of 4 cm. The point P lies on the circle. If the angle POQ measures 60°, what is the length of the chord PQ?

A. 4 cm

Correct B. 6 cm

C. 8 cm

D. 10 cm

Correct Answer: B

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Question 8

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. 1/2

B. 1/3

Correct C. 2/5

D. 3/8

Correct Answer: C

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Question 9

If f(x) = 3x^2 + 2x - 5, find the derivative of f(x) u\sing the chain rule.

Correct A. 6x + 2

B. 3x^2 + 2x - 5

C. 12x + 4

D. 9x^2 + 4x - 10

Correct Answer: A

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Question 10

In the diagram below, the triangle ABC has a base of 6 cm and a height of 8 cm. If the angle B measures 60°, what is the area of the triangle?

A. 24 cm^2

B. 30 cm^2

Correct C. 36 cm^2

D. 40 cm^2

Correct Answer: C

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Question 11

In a survey of 100 students, 60 students preferred Mathematics, 30 students preferred Science, and 10 students preferred both. What is the probability that a randomly selected student prefers either Mathematics or Science?

Correct A. $ \frac{80}{100} $

B. $ \frac{70}{100} $

C. $ \frac{90}{100} $

D. $ \frac{95}{100} $

Correct Answer: A

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Question 12

Find the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

A. $ \frac{180}{10} $

Correct B. $ \frac{200}{10} $

C. $ \frac{220}{10} $

D. $ \frac{240}{10} $

Correct Answer: B

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Question 13

Solve for x in the equation $ 2^x + 2^x = 64 $.

A. $ x = 5 $

Correct B. $ x = 6 $

C. $ x = 7 $

D. $ x = 8 $

Correct Answer: B

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Question 14

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. ( pi (4)^2 )

B. ( 2pi (4)^2 )

C. ( 4pi (4)^2 )

D. ( 16pi (4)^2 )

Correct Answer: A

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Question 15

A line passes through the points (2, 3) and (4, 5). Find the equation of the line in slope-intercept form.

Correct A. $ y = \frac{2}{3}x + \frac{1}{3} $

B. $ y = \frac{2}{3}x - \frac{1}{3} $

C. $ y = \frac{3}{2}x + \frac{1}{2} $

D. $ y = \frac{3}{2}x - \frac{1}{2} $

Correct Answer: A

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Question 16

In a binary number system, what is the value of the digit in the $2^3$ place in the number $110101_2$?

A. 0

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 17

A circle with center $C$ and radius $r$ passes through points $A$ and $B$. If $AB = 2r$, what is the measure of angle $\angle ACB$?

A. 30\degree

B. 60\degree

Correct C. 90\degree

D. 120\degree

Correct Answer: C

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Question 18

A vector $\vec{a}$ has magnitude $5$ and direction $\theta = 30\degree$. What is the $x$-component of $\vec{a}$?

A. 2.5

Correct B. 3.75

C. 4.33

D. 5.00

Correct Answer: B

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Question 19

A histogram with $5$ classes has a mean of $20$ and a s\tandard deviation of $5$. What is the value of the class width?

A. 2

B. 4

Correct C. 6

D. 8

Correct Answer: C

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Question 20

A line passes through points $$ -2, 3 $$ and $$ 4, -1 $$. What is the equation of the line in slope-intercept form?

Correct A. y = -x + 5

B. y = x + 2

C. y = -x - 3

D. y = x - 1

Correct Answer: A

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Question 21

A right triangle has legs of length $3$ and $4$. What is the length of the hypotenuse?

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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Question 22

A function $f(x)$ is defined as $f(x) = 2x^2 + 3x - 1$. What is the value of $f$ -2 $$?

A. -11

B. -9

C. -7

D. -5

Correct Answer: VIEW ANSWER

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Question 23

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.

A. 64\pi

B. 128\pi

Correct C. 256\pi

D. 512\pi

Correct Answer: C

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Question 24

A random variable X has a probability density function f(x) = \frac{1}{2} for 0 < x < 2. Find the probability that X is greater than 1.

A. \frac{1}{4}

Correct B. \frac{1}{2}

C. \frac{3}{4}

D. \frac{5}{8}

Correct Answer: B

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Question 25

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{-x}{$ x^2 + 1 $^2}

D. \frac{x}{$ x^2 + 1 $^2}

Correct Answer: A

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