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POST UTME WELLSPRING UNIVERSITY 2025 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 2025 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{pmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{pmatrix} ].

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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Question 2

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 3

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

Correct A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25

Correct Answer: A

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Question 4

Find the derivative of the function [ f(x) = \frac{1}{x^2 + 1} ].

A. -\frac{2x}{\( x^2 + 1 \)^2}

Correct B. \frac{2x}{\( x^2 + 1 \)^2}

C. -\frac{2}{\( x^2 + 1 \)^2}

D. \frac{2}{\( x^2 + 1 \)^2}

Correct Answer: B

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Question 5

Find the equation of the line pas\sing through the points (1, 2) and (3, 4).

Correct A. y = x + 1

B. y = x - 1

C. y = 2x - 1

D. y = -2x + 1

Correct Answer: A

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Question 6

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

Correct A. \boxed{\( x + 2 \)^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 7

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. \frac{1}{3}

Correct B. \frac{2}{3}

C. \frac{1}{2}

D. \frac{1}{6}

Correct Answer: B

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Question 8

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

A. 6x + 2

B. 6x^2 + 2

Correct C. 6x^2 + 2x

D. 6x + 2x^2

Correct Answer: C

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Question 9

A histogram shows the distribution of exam scores for a class of 20 students. The histogram has 5 bars, each representing a score range. The heights of the bars are 2, 3, 4, 5, and 6. What is the mean score of the class?

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 10

Simplify the expression \sqrt{16x^2y^4}

A. 4xy^2

Correct B. 4x^2y^2

C. 4xy^4

D. 4x^2y^4

Correct Answer: B

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Question 11

A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. Calculate the coefficient of variation (CV) of the sample.

A. 10.95%

Correct B. 12.55%

C. 14.15%

D. 16.75%

Correct Answer: B

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Question 12

Solve for x in the equation \( 2x^2 + 5x - 3 = 0 \).

Correct A. -1.5

B. 1.5

C. 3

D. -3

Correct Answer: A

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Question 13

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?

A. 150

B. 200

Correct C. 250

D. 300

Correct Answer: C

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Question 14

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side.

A. 8

B. 10

C. 12

Correct D. 14

Correct Answer: D

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Question 15

A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. What is the average speed for the round trip?

A. 45

B. 48

Correct C. 50

D. 52

Correct Answer: C

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Question 16

Let ( X ) and ( Y ) be indep\endent random variables with probability density functions \( f_X\( x \ \) = egin{cases} 2x, & 0 leq x leq 1 \ 0, & \text{otherwise} \end{cases} ) and \( f_Y\( y \ \) = egin{cases} 3y^2, & 0 leq y leq 1 \ 0, & \text{otherwise} \end{cases} ). Find the probability that \( X + Y leq 1 \).

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 17

Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + \cdots \).

Correct A. 1023

B. 1024

C. 1025

D. 1026

Correct Answer: A

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Question 18

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

A. 2x + 2

Correct B. 2x + 1

C. x^2 + 2

D. x^2 + 1

Correct Answer: B

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Question 19

Solve the system of linear equations \( \begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases} \).

Correct A. \left\( \frac{5}{2}, \frac{1}{2} \right \)

B. \left\( \frac{1}{2}, \frac{5}{2} \right \)

C. \left\( -\frac{1}{2}, \frac{5}{2} \right \)

D. \left\( \frac{5}{2}, -\frac{1}{2} \right \)

Correct Answer: A

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Question 20

Find the derivative of ( 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 21

In a right-angled triangle, the length of the hypotenuse is 10cm and one of the other sides is 6cm. Find the length of the third side u\sing the Pythagorean theorem.

A. 8cm

Correct B. 12cm

C. 6cm

D. 4cm

Correct Answer: B

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Question 22

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

Correct A. 16

B. 8

C. 4

D. 2

Correct Answer: A

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Question 23

A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?

A. 18

Correct B. 17

C. 16

D. 15

Correct Answer: B

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Question 24

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

Correct A. 50.24cm^2

B. 25.12cm^2

C. 50.12cm^2

D. 25.24cm^2

Correct Answer: A

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Question 25

A rec\tangular garden measures 10m by 5m. Find the area of the garden.

A. 50m^2

Correct B. 75m^2

C. 60m^2

D. 40m^2

Correct Answer: B

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