POST UTME LASU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the system of equations \begin{align*} x + y &= 4 \ x - 2y &= -2 \end{align*}.
A. \left\( 2, 2 \right \)
B. \left\( 2, 1 \right \)
C. \left\( 1, 2 \right \)
D. \left\( 1, 1 \right \)
Question 2
A circle has a radius of 5 cm. Find the area of the circle u\sing the formula \( A = pi r^2 \).
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 3
Find the equation of the circle pas\sing through the points (2, 3), (4, 5), and (6, 7).
A. x^2 + y^2 - 10x - 12y + 35 = 0
B. x^2 + y^2 - 12x - 10y + 35 = 0
C. x^2 + y^2 - 8x - 14y + 25 = 0
D. x^2 + y^2 - 14x - 8y + 25 = 0
Question 4
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 5
Determine the value of x in the equation \( \frac{1}{x} + \frac{1}{2} = \frac{3}{4} \).
A. 1
B. 2
C. 3
D. 4
Question 6
Solve the quadratic equation x^2 + 4x + 4 = 0.
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 7
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 ).
A. 6x - 2
B. 3x^2 - 2
C. 2x^2 - 1
D. x^2 - 1
Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 9
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 32
B. 64
C. 16
D. 128
Question 10
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.68
B. 0.73
C. 0.83
D. 0.93
Question 11
Find the value of \sin(2θ) given that \sin(θ) = 3/5.
A. 12/25
B. 24/25
C. 36/25
D. 48/25
Question 12
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 = x + 1
D. y = x - 1
Question 13
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 14
A company produces two products, A and B. The profit on product A is $\frac{1}{2}$x and the profit on product B is $\frac{1}{3}$x. If the total profit is $\frac{5}{6}$x, find the value of x.
A. 30
B. 60
C. 90
D. 120
Question 15
Find the area of the region bounded by the curves $y = x^2$ and $y = 2x$.
A. \frac{4}{3}
B. \frac{2}{3}
C. \frac{1}{3}
D. \frac{1}{2}

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