POST UTME ESUT 2023 Mathematics | Objective

Prepare for your exams with POST UTME ESUT questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24π cm³
Correct B. 48π cm³
C. 96π cm³
D. 192π cm³

Correct Answer: B

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Question 2 View Details
A circle passes through the points (2,3) and (4,5). Find the equation of the circle.
A. \(x-3\)² + \(y-2\)\(² = 4\)
Correct B. \(x-2\)² + \(y-3\)\(² = 4\)
C. \(x-4\)² + \(y-5\)\(² = 4\)
D. \(x-5\)² + \(y-4\)\(² = 4\)

Correct Answer: B

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Question 3 View Details
Find the area under the curve \(y = x²\) from \(x = 0\) to \(x = 4\).
A. 64
B. 128
Correct C. 192
D. 256

Correct Answer: C

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Question 4 View Details
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
A. 1240
B. 1245
Correct C. 1247
D. 1249

Correct Answer: C

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Question 5 View Details
Solve the inequality x² - \(4x - 5 > 0\).
A. \(-∞, -1\) ∪ (5, ∞)
B. \(-∞, -5\) ∪ (1, ∞)
Correct C. \(-∞, -1\) ∪ (1, ∞)
D. \(-∞, -5\) ∪ (5, ∞)

Correct Answer: C

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Question 6 View Details
Let ( f(x) = \(\frac{1}{x^2 + 1}\)\)) ). Find the value of \(int_{0}^{\frac{\\() ). Find the value of (int_{0}^{\pi}{4}} f x \\) , dx ).
A. 0
Correct B. 1
C. \log(2)
D. π/4

Correct Answer: B

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Question 7 View Details
In a probability experiment, two events A and B are independent. If P(A) = 0.3 and P(B) = 0.5, find P(\(A \cap B\)).
Correct A. 0.1
B. 0.15
C. 0.2
D. 0.25

Correct Answer: A

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Question 8 View Details
Find the sum of the first 5 terms of the geometric progression 3, 6, 12, 24, ...
A. 120
B. 150
Correct C. 180
D. 200

Correct Answer: C

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Question 9 View Details
Solve the equation \(x^2 + 4x + 4 = 0\).
Correct A. -2
B. -1
C. 0
D. 1

Correct Answer: A

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Question 10 View Details
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 8
Correct C. 10
D. 12

Correct Answer: C

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