POST UTME FUTO 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation 2^x + 5^x = 10^x.
A. 2
B. 3
C. 4
D. 5
Question 2
Solve the equation $\frac{1}{x+1}+\frac{1}{x-1}=\frac{3}{2}$.
A. x=-2
B. x=-1
C. x=1
D. x=2
Question 3
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -3 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 4
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 5
Find the equation of the line pas\sing through the points $\( -2,3 \)$ and $(1,2)$.
A. y=-x+5
B. y=x-1
C. y=-x-1
D. y=x+1
Question 6
Solve the inequality $\log_2\( x^2+1 \) > 2$.
A. x<-1\lor x>1
B. x>-1\lor x>1
C. x<-1\lor x<1
D. x>-1\lor x<1
Question 7
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is blue?
A. \frac{1}{3}
B. \frac{2}{5}
C. \frac{4}{12}
D. \frac{1}{2}
Question 8
Solve for ( x ) in the equation \( \sin^2 x + \cos^2 x = 1 \ \).
A. x = \frac{\pi}{4}
B. x = \frac{\pi}{2}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}
Question 9
A histogram is constructed with the following data: [ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ]. If the width of each bar is 2, what is the area of the histogram?
A. 100
B. 200
C. 50
D. 150
Question 10
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} \).
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}
Question 11
Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 3x - 1} ) u\sing the quotient rule.
A. f'(x) = \frac{-4x + 3}{\( 2x^2 + 3x - 1 \)^2}
B. f'(x) = \frac{4x + 3}{\( 2x^2 + 3x - 1 \)^2}
C. f'(x) = \frac{2x^2 + 3x - 1}{\( 2x^2 + 3x - 1 \)^2}
D. f'(x) = \frac{-2x^2 - 3x + 1}{\( 2x^2 + 3x - 1 \)^2}
Question 12
Solve the inequality x^2 - 4x - 5 > 0.
A. \( -∞, -1 \) ∪ (5, ∞)
B. \( -∞, 1 \) ∪ (5, ∞)
C. \( -∞, -5 \) ∪ (1, ∞)
D. \( -∞, 5 \) ∪ (1, ∞)
Question 13
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 1200
B. 1300
C. 1400
D. 1500
Question 14
Solve the equation 2^x = 5.
A. 2
B. 3
C. 4
D. 5
Question 15
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 242
B. 242.5
C. 243
D. 243.5

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