POST UTME GREENFIELD UNIVERSITY 2017 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Find the sum of the first 10 terms of the geometric series \( 1 + 2 + 4 + 8 + ldots \).
Question 2
A probability experiment consists of rolling a fair six-sided die. If the outcome is an even number, the experiment is repeated. If the outcome is an odd number, the experiment is stopped. What is the probability that the experiment will be stopped after exactly two rolls?
Question 3
Solve the system of equations \( egin{cases} x + y = 4 \ 2x - 3y = -3 \end{cases} \).
Question 4
Find the value of \( \log_{10} (1000) \).
Question 5
In the set \( A = {1, 2, 3, 4, 5} \), find the number of elements in the power set of A.
Question 6
Find the value of x in the quadratic equation \( x^2 + 4x + 4 = 0 \).
Question 7
Find the volume of the frustum of a cone with height 8 cm, lower base radius 4 cm, and upper base radius 2 cm.
Question 8
A binary operation ( odot ) is defined as \( a odot b = a^2 + b^2 \). Find the value of ( 2 odot 3 ).
Question 9
Solve the inequality \( x^2 - 6x + 8 > 0 \).
Question 10
Solve the equation \( x^2 - 4x + 4 = 0 \) u\sing the quadratic formula.
Question 11
A sequence is defined by the formula \( a_n = 2n^2 - 3n + 1 \). Find the 5th term of the sequence.
Question 12
Find the value of \( int_{0}^{1} \frac{1}{x^2 + 1} dx \) u\sing the method of substitution.
Question 13
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
Question 14
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the acute angles is 30°. Find the length of the side opposite the 30° angle.
Question 15
Solve the inequality \( 2x - 5 > 3 \).
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