POST UTME UNILAG 2023 Mathematics | Objective

Are you preparing for POST UTME UNILAG exams? Reviewing past 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.

Practice these randomly selected questions to test your readiness.

Question 1
Determine the value of x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
A. \( x = -10 \)
B. \( x = 3 \)
Correct C. \( x = -3 \)
D. \( x = 10 \)

Correct Answer: C

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Question 2
Find the area under the curve \( y = \sin\( x \ \) ) from \( x = 0 \) to \( x = \frac{pi}{2} \) u\sing integration.
A. \( \frac{1}{2} \)
B. \( \frac{pi}{2} \)
Correct C. \( \frac{pi}{4} \)
D. \( \frac{1}{4} \)

Correct Answer: C

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Question 3
A set A contains 5 elements, and a set B contains 3 elements. If the union of sets A and B is denoted as C, find the number of elements in set C.
A. 8
B. 9
Correct C. 10
D. 11

Correct Answer: C

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Question 4
A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg u\sing the Pythagorean theorem.
A. \( \sqrt{64} \)
B. \( \sqrt{36} \)
Correct C. \( \sqrt{100} \)
D. \( \sqrt{16} \)

Correct Answer: C

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Question 5
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. ( 15 )
B. ( 25 )
Correct C. ( 35 )
D. ( 45 )

Correct Answer: C

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Question 6
Find the value of $\lim_{x\to\infty}\frac{x^2-4x+3}{x^2+2x+1}$.
A. 1
B. -1
C. 0
Correct D. ∞

Correct Answer: D

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Question 7
Solve the inequality $\frac{x-2}{x+1}>0$.
Correct A. \( -∞,-1 \)∪(2,∞)
B. \( -∞,-1 \)∪\( -1,2 \)
C. \( -∞,2 \)∪(2,∞)
D. \( -∞,-1 \)∪(1,∞)

Correct Answer: A

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Question 8
A random variable $X$ has a probability distribution given by $P\( X=x \)=\frac{1}{2^x}$ for $x=1,2,3,\ldots$. Find $E\( X^2 \)$.
A. 3
B. 4
Correct C. 5
D. 6

Correct Answer: C

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Question 9
Solve the equation $x^3-6x^2+11x-6=0$.
Correct A. (1,2,3)
B. \( 1,2,-3 \)
C. \( 1,-2,3 \)
D. \( -1,2,3 \)

Correct Answer: A

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Question 10
Find the area of the region bounded by the curves $y=x^2$ and $y=2x$.
Correct A. \frac{4}{3}
B. \frac{2}{3}
C. 1
D. 2

Correct Answer: A

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