POST UTME GREENFIELD UNIVERSITY 2024 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Solve for x in the equation \( 2^x + 2^{x+1} = 3 \cdot 2^x \).
Question 2
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
Question 3
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
Question 4
Solve the system of equations \( x + y = 5 \) and \( x - y = 3 \).
Question 5
A fair six-sided die is rolled. What is the probability that the number showing is greater than 4?
Question 6
Simplify the expression \( \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \) u\sing the rules of \fractions.
Question 7
A polynomial function is defined as ( f(x) = x^3 - 2x^2 - 7x + 12 ). Find the value of x that makes f(x) = 0.
Question 8
Solve for x in the equation \( 2^x + 2^x = 128 \).
Question 9
A set of data is given as {1, 2, 3, 4, 5}. Find the mean and median of the data.
Question 10
A circle has a radius of 4 cm. Find the area of the circle.
Question 11
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
Question 12
A set of data has a mean of 25 and a s\tandard deviation of 3. Find the z-score of the value 32.
Question 13
Determine the value of x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
Question 14
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
Question 15
A matrix is given as \( egin{bmatrix} 1 & 2 \ 3 & 4 \ \end{bmatrix} \). Find the determinant of the matrix.
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