POST UTME RHEMA UNIVERSITY 2021 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Determine the value of x in the equation \( \frac{x}{2} + 5 = 11 \).
Question 2
Determine the value of x in the equation \( x^2 + 4x - 5 = 0 \).
Question 3
Find the sum of the infinite geometric series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ... \).
Question 4
Find the value of x in the equation \( x^2 - 4x - 5 = 0 \).
Question 5
Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.
Question 6
Solve the equation \( x^2 + 2x - 6 = 0 \) u\sing the quadratic formula.
Question 7
Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, 11, ... .
Question 8
A population of bacteria is growing at a rate of 20% per hour. If the initial population is 1000, find the population after 3 hours.
Question 9
Solve for y in the equation \( y^2 + 4y - 5 = 0 \).
Question 10
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm, given that the slant height is 8 cm. Use the formula \( V = \frac{1}{3} pi h \( r_1^2 + r_2^2 + r_1 r_2 \ \) ).
Question 11
Find the value of ( x ) in the equation \( 2^x + 3^x = 5^x \).
Question 12
A set A = {1, 2, 3, 4, 5} and a set B = {4, 5, 6, 7, 8}. Find the symmetric difference of sets A and B.
Question 13
Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Assume the data set is a sample.
Question 14
In the matrix $\begin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix}$, find the value of $x$ such that $\begin{bmatrix} 2 & 1 \ 3 & 2 \end{bmatrix} \begin{bmatrix} x \ 1 \end{bmatrix} = \begin{bmatrix} 5 \ 8 \end{bmatrix}$.
Question 15
Find the mean of the data set ( 2, 4, 6, 8, 10 ).
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