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POST UTME EKSU 2019 Mathematics | Objective

Are you preparing for POST UTME EKSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Solve for x in the equation $ \sin\( 2x \ $ = \frac{1}{2} ) in the interval ( [0, 2pi] ).

Correct A. \frac{\pi}{6}

B. \frac{\pi}{3}

C. \frac{\pi}{2}

D. \frac{2\pi}{3}

Correct Answer: A

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Question 2

Find the equation of the circle with center $ -2, 3 \ $ ) and radius ( 4 ).

Correct A. $ x + 2 $^2 + $ y - 3 $^2 = 16

B. $ x + 2 $^2 + $ y - 3 $^2 = 25

C. $ x - 2 $^2 + $ y + 3 $^2 = 16

D. $ x - 2 $^2 + $ y + 3 $^2 = 25

Correct Answer: A

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Question 3

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. \frac{1}{6}

B. \frac{1}{3}

C. \frac{2}{3}

Correct D. \frac{5}{6}

Correct Answer: D

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Question 4

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. x < -1 or x > \frac{3}{2}

B. x < -1 or x < \frac{3}{2}

C. x > -1 or x < \frac{3}{2}

D. x > -1 or x > \frac{3}{2}

Correct Answer: A

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Question 5

Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. y = \frac{2}{2}x + 1

B. y = \frac{2}{2}x + 2

C. y = \frac{2}{2}x + 3

D. y = \frac{2}{2}x + 4

Correct Answer: A

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Question 6

Find the derivative of ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

A. f'(x) = \frac{-2x}{$ x^2 + 1 $^2}

Correct B. f'(x) = \frac{2x}{$ x^2 + 1 $^2}

C. f'(x) = \frac{-x}{$ x^2 + 1 $^2}

D. f'(x) = \frac{x}{$ x^2 + 1 $^2}

Correct Answer: B

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Question 7

Solve for x in the equation $ \begin{vmatrix} 2 & 3 \ 4 & 5 \ \end{vmatrix} = 0 $.

Correct A. x = \frac{1}{2}

B. x = \frac{1}{3}

C. x = \frac{1}{4}

D. x = \frac{1}{5}

Correct Answer: A

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Question 8

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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Question 9

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. x < -1 or x > \frac{3}{2}

B. x < -1 or x < \frac{3}{2}

C. x > -1 or x > \frac{3}{2}

D. x > -1 or x < \frac{3}{2}

Correct Answer: A

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Question 10

Find the equation of the circle with center $ -2, 3 $ and radius 4.

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 11

A cylindrical \tank with a radius of 7m and height of 10m is filled with water to a depth of 8m. Find the volume of water in the \tank, correct to 3 significant figures.

Correct A. 1496.8

B. 1496.9

C. 1496.7

D. 1496.6

Correct Answer: A

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Question 12

The mean of 5 numbers is 15. If one of the numbers is 8, find the sum of the other 4 numbers.

Correct A. 67

B. 68

C. 69

D. 70

Correct Answer: A

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Question 13

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

Correct A. 1250

B. 1251

C. 1252

D. 1253

Correct Answer: A

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Question 14

Solve the equation: 2x^2 + 5x - 3 = 0.

Correct A. \frac{1}{2}

B. -3

C. 3

D. 4

Correct Answer: A

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Question 15

A right-angled triangle has a hypotenuse of length 10cm and one of the other sides of length 6cm. Find the length of the third side.

Correct A. 8

B. 9

C. 10

D. 11

Correct Answer: A

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Question 16

Find the value of $x$ in the equation $2x^2 + 5x - 3 = 0$ u\sing the quadratic formula.

A. 1

Correct B. -1

C. 2

D. -2

Correct Answer: B

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Question 17

Solve for $x$ in the equation $\tan x = \frac{1}{\sqrt{3}}$.

Correct A. \frac{\pi}{6}

B. \frac{\pi}{3}

C. \frac{\pi}{4}

D. \frac{\pi}{2}

Correct Answer: A

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Question 18

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. \frac{1}{4}

B. \frac{1}{2}

Correct C. \frac{3}{8}

D. \frac{3}{4}

Correct Answer: C

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Question 19

Find the equation of the circle with center $$ -2, 3 $$ and radius 4.

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 20

Find the magnitude of the vector $\vec{a} = \langle 3, 4 \rangle$.

A. 5

B. \sqrt{5}

Correct C. \sqrt{25}

D. 25

Correct Answer: C

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Question 21

Solve the inequality $ \frac{x}{x-2} > 1 $ for $ x > 2 $.

A. $ x < 0 $

Correct B. $ x > 4 $

C. $ x > 2 $

D. $ x < 2 $

Correct Answer: B

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Question 22

Find the value of ( x ) in the equation $ 2x^2 + 5x - 3 = 0 $.

A. $ x = -1 $

Correct B. $ x = 3 $

C. $ x = -3 $

D. $ x = 1 $

Correct Answer: B

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Question 23

Solve the system of equations $ x + y = 4 $ and $ x - y = 2 $.

Correct A. $ x = 3, y = 1 $

B. $ x = 2, y = 2 $

C. $ x = 1, y = 3 $

D. $ x = 4, y = 0 $

Correct Answer: A

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Question 24

Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. $ y = 2x + 1 $

B. $ y = x + 2 $

C. $ y = 2x - 1 $

D. $ y = x - 2 $

Correct Answer: A

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Question 25

Find the value of ( x ) in the equation $ x^2 + 4x + 4 = 0 $.

Correct A. $ x = -2 $

B. $ x = 2 $

C. $ x = -1 $

D. $ x = 1 $

Correct Answer: A

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