POST UTME UNILAG 2017 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 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm. Given that the slant height is 6cm. Express your answer in terms of π.

Correct A. \( \frac{1}{3} pi \( 4^2 + 2^2 + 4 \times 4 \times 2 \ \) )

B. \( \frac{1}{3} pi \( 4^2 + 2^2 - 4 \times 4 \times 2 \ \) )

C. \( \frac{1}{3} pi \( 4^2 + 2^2 + 4 \times 4 \times 6 \ \) )

D. \( \frac{1}{3} pi \( 4^2 + 2^2 - 4 \times 4 \times 6 \ \) )

Correct Answer: A

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Question 2

Solve the inequality \( 2x^2 + 5x - 3 > 0 \). Express your answer in interval notation.

Correct A. \( -infty, -\frac{3}{2} \ \) cup \( \frac{3}{2}, infty \) )

B. \( -infty, \frac{3}{2} \ \) cup \( infty, -\frac{3}{2} \) )

C. \( -infty, -\frac{3}{2} \ \) cup \( \frac{3}{2}, infty \) )

D. \( -infty, \frac{3}{2} \ \) cup \( infty, -\frac{3}{2} \) )

Correct Answer: A

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Question 3

Find the equation of the circle with center \( -2, 3 \ \) ) and radius 4. Express your answer in the s\tandard form \( x - h \ \)^2 + \( y - k \)^2 = r^2 ).

Correct A. \( x + 2 \ \)^2 + \( y - 3 \)^2 = 16 )

B. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )

C. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 )

D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )

Correct Answer: A

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Question 4

A die is rolled twice. What is the probability that the sum of the two numbers is 7?

A. \( \frac{1}{6} \)

B. \( \frac{1}{12} \)

Correct C. \( \frac{1}{36} \)

D. \( \frac{1}{24} \)

Correct Answer: C

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Question 5

A water \tank is in the shape of a cone with height 10m and radius 5m. If the water level is at 4m, what is the volume of the water in the \tank?

Correct A. \( \frac{1}{3} pi \( 5^2 \ \) \( 10 - 4 \) )

B. \( \frac{1}{3} pi \( 5^2 \ \) \( 10 + 4 \) )

C. \( \frac{1}{3} pi \( 5^2 \ \) \( 10 \times 4 \) )

D. \( \frac{1}{3} pi \( 5^2 \ \) \( 10 - 4 \)^2 )

Correct Answer: A

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