POST UTME FUTA 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...
A. 1049
B. 1050
C. 1051
D. 1052
Question 2
A set of exam scores has a mean of 80 and a s\tandard deviation of 10. If a new score of 90 is added to the set, what is the new mean?
A. 80
B. 82
C. 84
D. 86
Question 3
In a circle of radius 4 cm, a chord of length 6 cm subt\ends an angle of \( 60^circ \) at the center. Find the length of the segment of the chord between the points where the chord intersects the circle.
A. ( 3 ) cm
B. ( 4 ) cm
C. ( 5 ) cm
D. ( 6 ) cm
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 6
C. 8
D. 10
Question 5
A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Find the volume of the prism.
A. 400 cm^3
B. 500 cm^3
C. 600 cm^3
D. 800 cm^3
Question 6
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 7
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 8
Solve the system of linear equations \( egin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases} \) u\sing matrices.
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 9
Find the probability that a random variable X follows a normal distribution with mean 5 and s\tandard deviation 2, and is greater than 7.
A. 0.5
B. 0.25
C. 0.75
D. 0.9
Question 10
Find the determinant of the matrix [egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}].
A. 0
B. 1
C. 2
D. 3
Question 11
Determine the value of x in the equation \( \tan x = \frac{1}{\sqrt{3}} \) if \( 0 leq x leq \frac{pi}{2} \).
A. \( \frac{pi}{6} \)
B. \( \frac{pi}{4} \)
C. \( \frac{pi}{3} \)
D. \( \frac{pi}{2} \)
Question 12
A set of 5 numbers has a mean of 10 and a median of 8. If the largest number is 15, find the sum of the remaining 3 numbers.
A. ( 20 )
B. ( 25 )
C. ( 30 )
D. ( 35 )
Question 13
Solve for x in the equation: 2^x = 16.
A. 2
B. 3
C. 4
D. 5
Question 14
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).
A. x^2 + y^2 + 3x - 5y - 3 = 0
B. x^2 + y^2 - 3x + 5y + 3 = 0
C. x^2 + y^2 + 5x - 3y + 3 = 0
D. x^2 + y^2 - 5x + 3y - 3 = 0
Question 15
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 25 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 36 )

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