POST UTME RSU 2022 Mathematics | Objective

Prepare for your exams with POST UTME RSU questions? Reviewing past/model 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 View Details
Find the derivative of the function ( f(x) = \(\frac{1}\){\(\sqrt{x}\)}\) ) using the chain rule.
Correct A. \(\frac{-1}\){\(2x^{\)\(3/2\)}}\)
B. \(\frac{1}\){\(2x^{\)\(3/2\)}}\)
C. \(\frac{-1}\){\(x^{\)\(3/2\)}}\)
D. \(\frac{1}\){\(x^{\)\(3/2\)}}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2 View Details
A histogram of exam scores is shown below. What is the mean score?
A. 60
Correct B. 70
C. 80
D. 90

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3 View Details
Solve the equation \(2x^2 + 5x - 3 = 0\) using the quadratic formula.
A. \(\frac{-5 \pm \sqrt{109}\)}{4}\)
B. \(\frac{-5 \pm \sqrt{121}\)}{4}\)
Correct C. \(\frac{-5 \pm \sqrt{169}\)}{4}\)
D. \(\frac{-5 \pm \sqrt{225}\)}{4}\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 4 View Details
Find the determinant of the matrix \(\begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}\).
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 5 View Details
A vector \(\mathbf{a} = \begin{bmatrix} 2 \ 3 \ 4 \end{bmatrix}\) is given. Find the magnitude of the vector.
Correct A. \(\sqrt{29}\)
B. \(\sqrt{31}\)
C. \(\sqrt{33}\)
D. \(\sqrt{35}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6 View Details
Find the derivative of ( f(x) = \(\frac{1}\){\sqrt{\(x^2 + 1}}\)\) ) using the chain rule.
Correct A. \(\frac{-x}{x^2 + 1 \\)^{\(3/2\)}} )
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: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7 View Details
Solve for ( x ) in the equation \(\log_{10} x^2 \\)\(= 4 ).\)
Correct A. \(x = 10^4\)
B. \(x = 10^2\)
C. \(x = 10^{-2}\)
D. \(x = 10^{-4}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8 View Details
Find the value of \(\(12 \theta \\) ) given that 1\theta \\) = \(\frac{3}{5}\)\) ) and \($1\theta \\) = \(\frac{4}{5}\)\) ).
Correct A. \(\frac{24}{25}\)
B. \(\frac{16}{25}\)
C. \(\frac{20}{25}\)
D. \(\frac{12}{25}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 9 View Details
A sequence is defined by \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.
A. ( 15 )
B. ( 25 )
Correct C. ( 35 )
D. ( 45 )

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10 View Details
A vector ( mathbf{a} ) has components \(a_x = 3\) and \(a_y = 4\). Find the magnitude of the vector.
A. ( 5 )
Correct B. ( 10 )
C. ( 15 )
D. ( 20 )

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 11 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 the probability that \(X + Y < 1\\((0 < y) < 1. Find the probability that\).
A. \(1/4\)
Correct B. \(1/2\)
C. \(3/4\)
D. 1

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 12 View Details
Find the area under the curve \(y = 2x\^2 + 3x - 4\) from \(x = 0\) to \(x = 2\).
A. 20
B. 30
Correct C. 40
D. 50

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 13 View Details
Solve the equation \(\sin^2 x + \cos^2 x = 1\) for x in the interval [0, \\(\pi/2\)].
Correct A. \(\frac{\pi}{4}\)\)
B. \(\frac{\pi}{2}\)\)
C. \(\frac{3\pi}{4}\)\)
D. \pi

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 14 View Details
Find the derivative of the function f(x) = \(\frac{x^2 + 2x - 3}{x^2 + 1}\)\)\) using the quotient rule.
Correct A. \(\frac{2x + 2}{x^2 + 1\) ^2}\)\)
B. \(\frac{2x + 2}{x^2 + 1}\)\)\)
C. \(\frac{2x - 2}{x^2 + 1}\)\)\)
D. \(\frac{2x + 2}{x^2 + 1}\)\)\) + \(\frac{2x - 2}{x^2 + 1}\)\)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 15 View Details
Determine the sum of the first 5 terms of the geometric series with first term \(a = 2\) and common ratio \(r = 3\).
Correct A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 16 View Details
A random variable X has a probability distribution given by P(X) = \((1/2\)\\()^k\), where \(k = 0\\((1/2)^k, where\), 1, 2, ... . Find the expected value of X.
A. 1
B. 2
Correct C. \(\frac{1}{2}\)\)
D. \(\frac{2}{3}\)\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 17 View Details
A cube has a side length of 5 cm. Find the volume of the cube in cubic centimeters.
Correct A. 125 \(cm^3\)
B. 250 \(cm^3\)
C. 500 \(cm^3\)
D. 1000 \(cm^3\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 18 View Details
A 3x3 matrix A has the following elements: \(A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}\). Find the determinant of A.
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 19 View Details
A histogram is shown below: \(\text{Histogram of X}\). Find the mean of X.
A. 10
Correct B. 20
C. 30
D. 40

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 20 View Details
A random variable X has a probability distribution given by P(X) = \((1/2\)\\()^k\), where \(k = 0\\((1/2)^k, where\), 1, 2, ... . Find the variance of X.
Correct A. \(\frac{1}{4}\)\)
B. \(\frac{1}{2}\)\)
C. 1
D. 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 21 View Details
Solve the inequality \(\frac{x}{x+1} > \frac{2}{3}\) for \(x > -1\).
Correct A. \(x > 1\)
B. \(x > 2\)
C. \(x > 3\)
D. \(x > 4\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 22 View Details
Find the area under the curve \(y = x^2 + 2x - 3\) from \(x = 0\) to \(x = 2\).
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
Question 23 View Details
Solve the equation \(x^2 - 4x + 4 = 0\).
Correct A. \(x = 2\)
B. \(x = 4\)
C. \(x = 0\)
D. \(x = 1\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 24 View Details
Find the derivative of the function ( f(x) = \(x^3 - 2x^2 + x - 1\) ).
Correct A. \(3x^2 - 4x + 1\)
B. \(x^2 - 2x + 1\)
C. \(x^3 - 2x^2 + x\)
D. \(x^2 - 4x + 1\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 25 View Details
Solve the trigonometric equation \(\sin^2 x + \cos^2 x = 1\).
A. \(x =\)\(\frac{\pi}{2}\)\)
Correct B. \(x =\)\(\frac{\pi}{4}\)\)
C. \(x =\)\(\frac{\pi}{6}\)\)
D. \(x =\)\(\frac{\pi}{3}\)\)

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