Exam Body

Year

Subject

Paper Type

POST UTME GREENFIELD UNIVERSITY 2025 Mathematics | Objective

Prepare for your exams with POST UTME GREENFIELD UNIVERSITY questions? Reviewing past/model 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 View Details

Determine the volume of the frustum of a cone with a height of 10 cm, a lower base radius of 4 cm, and an upper base radius of 6 cm.

A. 100π cm³

Correct B. 150π cm³

C. 200π cm³

D. 250π cm³

Correct Answer: B

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

Question 2 View Details

Solve for x in the equation \(\frac{1}{2} \log_{10} x^2 \\)\(= 4 ).\)

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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

Question 3 View Details

Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 4\).

A. 32

B. 64

Correct C. 128

D. 256

Correct Answer: C

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

Question 4 View Details

In the circuit below, determine the current flowing through the 2 Ω resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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

Question 5 View Details

Solve the system of equations \(egin{cases} x + y = 4 \ 2x - 3y = 5 \end{cases}\).

A. (1, 3)

Correct B. (2, 2)

C. (3, 1)

D. (4, 0)

Correct Answer: B

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

Question 6 View Details

Determine the equation of the circle passing through the points (2,3), (4,5), and (6,7).

Correct A. \(x^2 + y^2 - 12x - 6y + 36 = 0\)

B. \(x^2 + y^2 - 10x - 4y + 20 = 0\)

C. \(x^2 + y^2 - 14x - 8y + 56 = 0\)

D. \(x^2 + y^2 - 16x - 10y + 80 = 0\)

Correct Answer: A

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

Question 7 View Details

A cylindrical \tank with a radius of 3m and a height of 5m is filled with water. Find the volume of water in the \tank.

A. ( 150pi ) cubic meters

B. ( 300pi ) cubic meters

Correct C. ( 450pi ) cubic meters

D. ( 600pi ) cubic meters

Correct Answer: C

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

Question 8 View Details

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

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

B. \(x < -\frac{1}{2}\) or \(x > 3\)

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

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

Correct Answer: A

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

Question 9 View Details

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

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

B. \(y = 2x - 1\)

C. \(y = \frac{1}{4}x + \frac{5}{4}\)

D. \(y = x - 1\)

Correct Answer: A

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

Question 10 View Details

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

Correct A. ( 8cm )

B. ( 6cm )

C. ( 4cm )

D. ( 12cm )

Correct Answer: A

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

Question 11 View Details

A random sample of 25 students from a university had a mean height of 170 cm with a standard deviation of 5 cm. If the population standard deviation is 3 cm, calculate the standard error of the mean.

Correct A. 1.67

B. 2.5

C. 3.33

D. 4.17

Correct Answer: A

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

Question 12 View Details

Solve the equation \(x^2 + 4x + 4 = 0\) using the quadratic formula.

Correct A. -2

B. -1

C. 0

D. 1

Correct Answer: A

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

Question 13 View Details

A histogram of exam scores is shown below. If the mean score is 60 and the standard deviation is 10, calculate the range of scores.

A. 40-80

B. 50-70

Correct C. 60-80

D. 70-90

Correct Answer: C

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

Question 14 View Details

Solve the equation \(\sin(x) = \frac{1}{2}\) for x in the interval \([0, 2\pi]\).

Correct A. \(\frac{\pi}{6}\)\)

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

C. \(\frac{\pi}{2}\)\)

D. \(\frac{5\pi}{6}\)\)

Correct Answer: A

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

Question 15 View Details

A polynomial function is defined as (f(x) = \(x^3 - 6x^2 + 9x + 2\)\). Find the value of \(f -1\\((f(x) = x^3 - 6x^2 + 9x + 2). Find the value of\).

Correct A. -8

B. -6

C. -4

D. 2

Correct Answer: A

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

Question 16 View Details

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

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

Question 17 View Details

Solve for x: \(\log_{10} x^2\)\(= 4\)\)

A. \(x = 10\^2\)

Correct B. \(x = 10\^4\)

C. \(x = 10\^8\)

D. \(x = 10\^12\)

Correct Answer: B

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

Question 18 View Details

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

Correct A. \boxed{\(\frac{1}{3}\)\)}

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

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

D. \(\frac{3}{4}\)\)

Correct Answer: A

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

Question 19 View Details

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

Correct A. f'\((x) = 6x + 2\)

B. f'\((x) = 6x - 2\)

C. f'\((x) =\)\(3x^2 + 2x - 5\)

D. f'\((x) =\)\(3x^2 - 2x - 5\)

Correct Answer: A

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

Question 20 View Details

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is its volume?

Correct A. \(V = 72\) \(cm^3\)

B. \(V = 48\) \(cm^3\)

C. \(V = 36\) \(cm^3\)

D. \(V = 24\) \(cm^3\)

Correct Answer: A

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

Question 21 View Details

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

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

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

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

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

Correct Answer: B

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

Question 22 View Details

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

Correct A. x < -1.5 or \(x > 1\)

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

C. x < -1.5 or \(x < 1\)

D. x > -1.5 or \(x > 1\)

Correct Answer: A

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

Question 23 View Details

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

Correct A. 3120

B. 3124

C. 3128

D. 3132

Correct Answer: A

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

Question 24 View Details

Solve the trigonometric equation \(\sin^2 x + \cos^2 x = 1\) for ( x ) in the interval ( [0, 2pi] ).

A. \(x = 0\), \\\(\pi/2\), \pi, 3\\\(\pi/2\)

Correct B. \(x = 0\), \\(\pi/2\), \pi, 3\\(\pi/2\), 2\pi

C. \(x =\)\\\(\pi/2\), \pi, 3\\\(\pi/2\)

D. \(x = 0\), \pi

Correct Answer: B

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

Question 25 View Details

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

Correct A. 50

B. 100

C. 150

D. 200

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