POST UTME FUTA 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In the equation \( y = \frac{1}{2} x^2 + 3x - 4 \), find the value of ( x ) when \( y = 0 \).
A. 2
B. -2
C. -4
D. 4
Question 2
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 3
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 4
A set of 10 numbers has a mean of 20. If 5 is added to each number, what is the new mean?
A. 22.5
B. 25
C. 27.5
D. 30
Question 5
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 6
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 7
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 8
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24 cm^2
B. 100.48 cm^2
C. 200.96 cm^2
D. 400.96 cm^2
Question 9
Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...
A. 1049
B. 1050
C. 1051
D. 1052
Question 10
Find the value of ( x ) that satisfies the equation \( \sin^2 x + \cos^2 x = 1 \).
A. 0
B. 30
C. 45
D. 60
Question 11
Solve for x in the equation: 2^x = 16.
A. 2
B. 3
C. 4
D. 5
Question 12
A particle moves along the x-axis according to the equation ( x(t) = 2t^3 - 5t^2 + 3t - 1 ). Find the velocity of the particle at time \( t = 1 \) second.
A. ( 6 ) m/s
B. ( 12 ) m/s
C. ( 18 ) m/s
D. ( 24 ) m/s
Question 13
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 14
In a random sample of 100 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the mean height of the entire population is 180 cm, what is the probability that a randomly selected student from the sample has a height greater than 180 cm?
A. \( P\( X > 180 \ \) = 0.2 )
B. \( P\( X > 180 \ \) = 0.5 )
C. \( P\( X > 180 \ \) = 0.8 )
D. \( P\( X > 180 \ \) = 0.9 )
Question 15
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

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
Help others prepare! Share this practice hub: