POST UTME ABU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \left\( -\infty, -1 \right \) \cup \left\( \frac{3}{2}, \infty \right \)
B. \left\( -\infty, 1 \right \) \cup \left\( 2, \infty \right \)
C. \left\( -\infty, -1 \right \) \cup \left\( 1, \infty \right \)
D. \left\( -\infty, 2 \right \) \cup \left\( 3, \infty \right \)
Question 2
Solve the inequality \( \frac{1}{x+1} > \frac{1}{x-1} \ \) for \( x \in \mathbb{R} \ \).
A. x > 1
B. x < -1
C. x > -1 and x < 1
D. x < -1 or x > 1
Question 3
A histogram is a graphical representation of the distribution of a dataset. What is the primary purpose of a histogram?
A. To show the mean of the dataset
B. To show the median of the dataset
C. To show the distribution of the dataset
D. To show the s\tandard deviation of the dataset
Question 4
Solve the equation \( x^2 - 4x + 4 = 0 \)
A. 2
B. 0
C. -2
D. 1
Question 5
Solve the inequality \( 2x - 5 > 3 \)
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 6
A right triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.
A. 8 cm
B. 6 cm
C. 4 cm
D. 2 cm
Question 7
Find the equation of the \tangent line to the curve \( y = x^2 - 2x + 1 \) at the point ( (1, 0) ).
A. y = -2x + 1
B. y = 2x - 1
C. y = x - 1
D. y = x + 1
Question 8
Solve the inequality \( \frac{x + 1}{x - 1} > 0 \) for ( x ).
A. x < -1
B. x > 1
C. x < 1
D. x > -1
Question 9
Solve the inequality \( x^2 - 4x + 3 > 0 \) for ( x ).
A. x < 1
B. x > 1
C. x < 3
D. x > 3
Question 10
Find the value of y in the equation \( 2y^2 + 5y - 3 = 0 \)
A. 1
B. -1
C. 2
D. -2
Question 11
Solve for x in the equation \( \frac{x}{2} + 5 = 11 \)
A. 6
B. 7
C. 8
D. 9
Question 12
Find the value of ( x ) in the equation \( x^3 + 2x^2 - 5x - 6 = 0 \).
A. x = -1
B. x = 2
C. x = -3
D. x = 3
Question 13
Find the value of x in the equation \( x^2 + 2x - 3 = 0 \)
A. 1
B. -1
C. 2
D. -2
Question 14
A quadratic equation is given by \( ax^2 + bx + c = 0 \). What is the discriminant of the equation?
A. \( b^2 - 4ac \)
B. \( a^2 - 4bc \)
C. \( b^2 + 4ac \)
D. \( a^2 + 4bc \)
Question 15
A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. What is the average speed for the round trip?
A. 48 km/h
B. 50 km/h
C. 52 km/h
D. 54 km/h

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