Exam Body

Year

Subject

Paper Type

POST UTME WELLSPRING UNIVERSITY 2019 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 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 104,783

B. 104,783

C. 104,783

D. 104,783

Correct Answer: A

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

Question 2

A circle has a diameter of 10 cm. Find the area of the circle.

Correct A. 78.5

B. 78.5

C. 78.5

D. 78.5

Correct Answer: A

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

Question 3

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

Correct A. \( -∞, -3 \) ∪ (1, ∞)

B. \( -∞, -3 \) ∪ (1, ∞)

C. \( -∞, -3 \) ∪ (1, ∞)

D. \( -∞, -3 \) ∪ (1, ∞)

Correct Answer: A

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

Question 4

Find the volume of the cylinder with radius 4 cm and height 10 cm.

Correct A. 251.2

B. 251.2

C. 251.2

D. 251.2

Correct Answer: A

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

Question 5

A set of 5 numbers has a mean of 10. Find the sum of the numbers.

Correct A. 50

B. 50

C. 50

D. 50

Correct Answer: A

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

Question 6

Determine the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

A. 2

B. 61

Correct C. 62

D. 63

Correct Answer: C

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

Question 7

Solve for x in the equation \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}.

A. -1

B. 1

Correct C. 2

D. -2

Correct Answer: C

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

Question 8

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

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

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

C. \frac{2x^3}{\( x^2 + 1 \)^2}

D. \frac{2x^4}{\( x^2 + 1 \)^2}

Correct Answer: A

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

Question 9

Solve the system of equations \begin{align*} x + y &= 2 \ x - y &= 1 \end{align*}.

A. x = 1, y = 1

B. x = 1, y = 2

Correct C. x = 2, y = 1

D. x = 2, y = 2

Correct Answer: C

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

Question 10

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

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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

Question 11

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

A. \( \frac{-x}{\( x^2 + 1 \ \)^{3/2}} )

Correct B. \( \frac{x}{\( x^2 + 1 \ \)^{3/2}} )

C. \( \frac{1}{\( x^2 + 1 \ \)^{3/2}} )

D. \( \frac{-1}{\( x^2 + 1 \ \)^{3/2}} )

Correct Answer: B

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

Question 12

Solve the inequality \( 2^x + 2^{x+1} > 2^{x+2} \).

A. \( x < -2 \)

Correct B. \( x > -2 \)

C. \( x < 0 \)

D. \( x > 0 \)

Correct Answer: B

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

Question 13

Find the area of the region bounded by the curves \( y = x^2 \) and \( y = 2x \).

Correct A. \( \frac{4}{3} \)

B. \( \frac{2}{3} \)

C. \( \frac{1}{3} \)

D. \( \frac{1}{2} \)

Correct Answer: A

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

Question 14

A vector ( mathbf{a} ) has magnitude 5 and direction \( 30^circ \) north of east. Find the vector ( mathbf{a} ).

Correct A. \( egin{pmatrix} 4.33 \ 2.5 \end{pmatrix} \)

B. \( egin{pmatrix} 2.5 \ 4.33 \end{pmatrix} \)

C. \( egin{pmatrix} 3.54 \ 3.54 \end{pmatrix} \)

D. \( egin{pmatrix} 2.5 \ -2.5 \end{pmatrix} \)

Correct Answer: A

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

Question 15

A histogram has a mean of 25 and a s\tandard deviation of 5. Find the probability that a randomly selected value is between 20 and 30.

Correct A. ( 0.8 )

B. ( 0.6 )

C. ( 0.4 )

D. ( 0.2 )

Correct Answer: A

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

Question 16

Let X be a random variable with probability density function (pdf) given by f(x) = \( \frac{1}{2}e^{-|x|} \) for -∞ < x < ∞. Find the probability that X lies in the interval \( -1, 2 \).

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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

Question 17

Find the area under the curve y = \( \frac{1}{x^2 + 1} \) from x = 0 to x = 1.

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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

Question 18

Solve the inequality \( \frac{x^2 - 4}{x^2 - 9} > 0 \).

Correct A. \( -∞, -3 \) ∪ (2, ∞)

B. \( -3, 2 \)

C. \( -∞, -3 \) ∪ (2, ∞) ∪ (3, 4)

D. \( -∞, -3 \) ∪ (2, 4)

Correct Answer: A

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

Question 19

Find the sum of the infinite geometric series \( sum_{n=1}^{infty} \frac{1}{2^n} \).

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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

Question 20

Find the mean and s\tandard deviation of the data set {1, 2, 3, 4, 5}.

Correct A. Mean: 3, S\tandard Deviation: 1

B. Mean: 2, S\tandard Deviation: 1

C. Mean: 3, S\tandard Deviation: 2

D. Mean: 2, S\tandard Deviation: 2

Correct Answer: A

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

Question 21

Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.

Correct A. 13

B. 15

C. 17

D. 19

Correct Answer: A

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

Question 22

Solve the system of linear equations u\sing the method of substitution: x + y = 3 and 2x - 3y = -5.

Correct A. x = 2, y = 1

B. x = 1, y = 2

C. x = 3, y = 0

D. x = 0, y = 3

Correct Answer: A

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

Question 23

Find the equation of the line pas\sing through the points (2, 3) and (4, 5).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x - 2

D. y = x + 2

Correct Answer: A

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

Question 24

A binary operation \star is defined as a \star b = a^2 + b^2. Find the value of 2 \star 3.

Correct A. 13

B. 15

C. 17

D. 19

Correct Answer: A

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

Question 25

A histogram is shown below. Find the mean of the data.

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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