POST UTME AAUA 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 5 cm. Find the area of the circle.
A. 50
B. 75
C. 100
D. 125
Question 2
A die is rolled. Find the probability that the number obtained is greater than 4.
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 3
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 4
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. 0.8413
B. 0.8416
C. 0.8419
D. 0.8422
Question 5
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 + 2
D. y = x - 2
Question 6
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 104,843
B. 104,843
C. 104,843
D. 104,843
Question 7
Solve the inequality \frac{x^2 - 4}{x^2 - 9} > 0.
A. \( -\infty, -3 \) \cup \( -3, 2 \) \cup \( 2, \infty \)
B. \( -\infty, -3 \) \cup \( 2, \infty \)
C. \( -\infty, -3 \) \cup \( -3, 2 \)
D. \( 2, \infty \)
Question 8
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -3 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 9
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 10
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 1 \)^2 + \( y - 2 \)^2 = 9
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
C. \( x - 3 \)^2 + \( y - 2 \)^2 = 25
D. \( x - 4 \)^2 + \( y - 3 \)^2 = 36
Question 11
A survey of 100 students found that 60 students preferred Mathematics, 30 preferred Science, and 10 preferred both. What is the probability that a randomly selected student prefers Mathematics or Science?
A. 0.7
B. 0.8
C. 0.9
D. 1.0
Question 12
A circle has a radius of 4 cm. Find the area of the circle.
A. 16π
B. 20π
C. 24π
D. 32π
Question 13
A circle with radius 4 cm is inscribed in a square. Find the area of the square.
A. 16
B. 32
C. 64
D. 128
Question 14
Solve the inequality \( \frac{x}{x-2} > 2 \) for \( x > 2 \).
A. x > 4
B. x > 6
C. x > 8
D. x > 10
Question 15
Solve for x in the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 1
D. 2

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