POST UTME BELLS UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle moves in a straight line with a velocity of 5 m/s. If the acceleration is 2 m/s^2, find the dis\tance traveled in 3 seconds.
A. 15
B. 20
C. 25
D. 30
Question 2
Find the determinant of the matrix \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 3
A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are red?
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 4
A curve is defined by the equation \( y = \frac{1}{x^2 + 1} \). Find the area under the curve between \( x = 0 \) and \( x = 1 \).
A. 1/2
B. 1/3
C. 2/3
D. 1/4
Question 5
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side.
A. 8 cm
B. 6 cm
C. 10 cm
D. 12 cm
Question 6
Solve the inequality \( 2x - 5 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 7
Solve the equation \[ x^2 + 5x + 6 = 0 \] u\sing the quadratic formula.
A. \begin{pmatrix} -2 \ 3 \end{pmatrix}
B. \begin{pmatrix} -3 \ 2 \end{pmatrix}
C. \begin{pmatrix} 2 \ -3 \end{pmatrix}
D. \begin{pmatrix} 3 \ -2 \end{pmatrix}
Question 8
Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. 1.5
B. -2
C. 3
D. -1
Question 9
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 10
Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix} \).
A. ( 10 )
B. ( 20 )
C. ( 30 )
D. ( 40 )
Question 11
Solve the system of linear equations u\sing matrices:
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 3 \ 4 \end{bmatrix}
C. \begin{bmatrix} 5 \ 6 \end{bmatrix}
D. \begin{bmatrix} 7 \ 8 \end{bmatrix}
Question 12
A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, and P\( X = 3 \) = 0.3. Find the expected value of X.
A. 1.1
B. 1.2
C. 1.3
D. 1.4
Question 13
Find the vector \[ \vec{a} \times \vec{b} \] given that \[ \vec{a} = \begin{pmatrix} 2 \ 3 \ 4 \end{pmatrix} \] and \[ \vec{b} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \].
A. \begin{pmatrix} -1 \ 8 \ -5 \end{pmatrix}
B. \begin{pmatrix} 1 \ -8 \ 5 \end{pmatrix}
C. \begin{pmatrix} -1 \ -8 \ 5 \end{pmatrix}
D. \begin{pmatrix} 1 \ 8 \ -5 \end{pmatrix}
Question 14
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 15
The mean of five numbers is 20. If one of the numbers is 15, what is the sum of the other four numbers?
A. ( 80 )
B. ( 90 )
C. ( 100 )
D. ( 110 )

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: