Exam Body

Year

Subject

Paper Type

POST UTME LASU 2023 Mathematics | Objective

Prepare for your exams with POST UTME LASU questions? Reviewing past/model 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.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

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

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

Question 2 View Details

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

Correct A. x in \( -infty, -3 \ cup (2, infty) )

B. x in \( -infty, -3 \ cup (3, infty) )

C. x in \( -infty, -2 \ cup (2, infty) )

D. x in \( -infty, -2 \ cup (3, infty) )

Correct Answer: A

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

Question 3 View Details

A die is rolled twice. Find the probability that the sum of the two numbers is 7.

A. \(\frac{1}{6}\)

B. \(\frac{1}{12}\)

Correct C. \(\frac{1}{36}\)

D. \(\frac{1}{24}\)

Correct Answer: C

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

Question 4 View Details

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

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

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

Question 5 View Details

Solve the equation \(\sin^2 x + \cos^2 x = 1\).

A. \(x = \frac{\pi}{2}\)

Correct B. \(x = \frac{\pi}{4}\)

C. \(x = \frac{3\pi}{4}\)

D. \(x = \frac{5\pi}{4}\)

Correct Answer: B

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

Question 6 View Details

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

A. 2x

B. -2x

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

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

Correct Answer: C

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

Question 7 View Details

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

A. \(x < -1\)

B. \(x > -1\)

Correct C. \(x < 1\)

D. \(x > 1\)

Correct Answer: C

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

Question 8 View Details

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

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

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

D. \(\frac{4}{5}\)\)

Correct Answer: B

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

Question 9 View Details

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

Correct A. \(x = 2\)

B. \(x = -2\)

C. \(x = 1\)

D. \(x = -1\)

Correct Answer: A

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

Question 10 View Details

Find the derivative of the function ( f(x) = \(x^3\) \sin x ) using the product rule.

A. \(3x^2\) \sin x + \(x^3\) \cos x

B. \(x^3\) \cos x - \(3x^2\) \sin x

C. \(x^2\) \sin x + \(3x^2\) \cos x

Correct D. \(x^3\) \cos x + \(3x^2\) \sin x

Correct Answer: D

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

Question 11 View Details

Let \(A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}\) and \(B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix}\). Find ( AB ) if it exists.

Correct A. \(egin{bmatrix} 19 & 22 \ 43 & 50 \end{bmatrix}\)

B. \(egin{bmatrix} 17 & 20 \ 39 & 46 \end{bmatrix}\)

C. \(egin{bmatrix} 21 & 24 \ 45 & 52 \end{bmatrix}\)

D. \(egin{bmatrix} 23 & 26 \ 49 & 56 \end{bmatrix}\)

Correct Answer: A

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

Question 12 View Details

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

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

Question 13 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is between 60 and 90.

Correct A. \(\frac{1}{2}\)

B. \(\frac{1}{4}\)

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

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

Correct Answer: A

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

Question 14 View Details

Solve the equation \(\log_2 x^2 + 1 \\) = 3 ) for ( x ).

Correct A. \(x = 7\)

B. \(x = -7\)

C. \(x = 5\)

D. \(x = -5\)

Correct Answer: A

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

Question 15 View Details

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

Correct A. ( 6 )

B. ( 8 )

C. ( 10 )

D. ( 12 )

Correct Answer: A

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

Question 16 View Details

Let X and Y be independent random variables with probability density functions f_\(X(x) = 2x\), \(0 < x\)\(< 1\), and f_\(Y(y) =\)\(3y^2\),\((0 < y\)\) < 1. Find P\(X + Y < 1\\((0 < y) < 1. Find P\).

Correct A. \(1/2\)

B. \(1/3\)

C. \(2/3\)

D. \(3/4\)

Correct Answer: A

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

Question 17 View Details

Find the derivative of the function f(x) = \(2x^2 + 1\) / \(x^2 - 4\) using the chain rule.

Correct A. \(\frac{4x}{x^2 - 4\) ^2}\)\)

B. \(\frac{2x}{x^2 - 4\) ^2}\)\)

C. \(\frac{4x}{x^2 - 4\) ^2}\)\) + \(\frac{2x}{x^2 - 4\) ^2}\)\)

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

Correct Answer: A

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

Question 18 View Details

Simplify the expression \(\sqrt{64x^6y\)^4}\) using the properties of radicals.

Correct A. \(8x^3y\)^2

B. \(2^3x\)^\(3y^2\)

C. \(2^6x\)^\(6y^4\)

D. \(4x^3y\)^2

Correct Answer: A

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

Question 19 View Details

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

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

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

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 20 View Details

Find the determinant of the matrix \begin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{bmatrix} using the formula for 3x3 matrices.

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 21 View Details

Find the value of x in the equation \(\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 22 View Details

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, -3\) ∪ (1, ∞)

C. \(-∞, 1\) ∪ (3, ∞)

D. \(-∞, -3\) ∪ (1, ∞)

Correct Answer: A

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

Question 23 View Details

Find the determinant of the matrix \(egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}\).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 24 View Details

Solve the system of equations \(egin{cases} x + y = 2 \ x - y = 1 \end{cases}\).

Correct A. {(1, 1)}

B. { 1, -1 }

C. { -1, 1 }

D. { -1, -1 }

Correct Answer: A

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

Question 25 View Details

Find the value of x in the equation \(\frac{x}{2} + 3 = 7\).

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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