Exam Body

Year

Subject

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POST UTME BABCOCK UNIVERSITY 2018 Mathematics | Objective

Are you preparing for POST UTME BABCOCK UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the equation of the plane pas\sing through the points ((1,2,3)), ((4,5,6)), and ((7,8,9)).

Correct A. $ 2x - 3y + z = 0 $

B. $ x + 2y - 3z = 0 $

C. $ 3x - 2y + z = 0 $

D. $ x - 2y + 3z = 0 $

Correct Answer: A

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Question 2

Solve the inequality $ \frac{x^2 - 4}{x^2 - 9} > 0 $.

Correct A. $ x in \( -infty, -3 \ $ cup (2, infty) )

B. $ x in \( -infty, -3 \ $ cup (3, infty) )

C. $ x in \( -infty, 2 \ $ cup (3, infty) )

D. $ x in \( -infty, -3 \ $ cup (2, 3) )

Correct Answer: A

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Question 3

A survey of 100 students found that 70% of them preferred Mathematics, 20% preferred Science, and 10% preferred both. What is the probability that a randomly selected student prefers either Mathematics or Science?

Correct A. $ \frac{9}{10} $

B. $ \frac{8}{10} $

C. $ \frac{7}{10} $

D. $ \frac{6}{10} $

Correct Answer: A

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Question 4

A rec\tangular box has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Find the volume of the box in cubic centimeters.

Correct A. ( 400 )

B. ( 500 )

C. ( 600 )

D. ( 800 )

Correct Answer: A

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Question 5

In the diagram below, the area of triangle ABC is 12 square units. If the base of the triangle is 4 units, find the height of the triangle.

Correct A. ( 3 )

B. ( 4 )

C. ( 6 )

D. ( 8 )

Correct Answer: A

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Question 6

Find the area under the curve $ y = \frac{1}{2}x^2 + 3x - 2 $ from $ x = 0 $ to $ x = 4 $.

Correct A. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 $

B. $ \frac{1}{2} \times 4^2 + 3 \times 4 - 2 $

C. $ \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 $

D. $ \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \times 4 $

Correct Answer: A

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Question 7

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the volume of the prism.

A. 6 cm × 4 cm × 3 cm

B. 6 cm × 4 cm + 3 cm

Correct C. 6 cm × 4 cm × 3 cm

D. 6 cm + 4 cm × 3 cm

Correct Answer: C

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Question 8

Solve the equation $ 2^x + 2^x = 128 $.

Correct A. $ x = 7 $

B. $ x = 6 $

C. $ x = 5 $

D. $ x = 4 $

Correct Answer: A

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Question 9

Find the equation of the circle with center ( (3, 4) ) and radius 5.

Correct A. $ x - 3 \ $^2 + $ y - 4 $^2 = 25 )

B. $ x - 4 \ $^2 + $ y - 3 $^2 = 25 )

C. $ x - 3 \ $^2 + $ y - 4 $^2 = 30 )

D. $ x - 4 \ $^2 + $ y - 3 $^2 = 30 )

Correct Answer: A

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Question 10

A cone has a base radius of 4 cm and a height of 6 cm. Find the volume of the cone.

Correct A. $ \frac{1}{3} pi r^2 h $

B. $ \frac{1}{3} pi r h $

C. $ \frac{1}{3} pi r^2 $

D. $ \frac{1}{3} pi r $

Correct Answer: A

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Question 11

Find the value of $\frac{d}{dx}\left$ \frac{1}{x^2}\right $$.

Correct A. -\frac{2}{x^3}

B. +\frac{2}{x^3}

C. -\frac{1}{x^3}

D. +\frac{1}{x^3}

Correct Answer: A

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Question 12

Solve the equation $\log_2$ x-1 $ + \log_2$ x+1 $ = 2$.

Correct A. x = 3

B. x = 2

C. x = 1

D. x = 4

Correct Answer: A

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Question 13

A circle with center $C$ and radius $r$ has equation $$ x-h $^2 + $ y-k $^2 = r^2$. Find the equation of the circle with center $C$ -2,3 $$ and radius $r=4$.

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 14

Find the value of $\int_0^1 x^2 dx$.

Correct A. \frac{1}{3}

B. \frac{1}{2}

C. 1

D. \frac{2}{3}

Correct Answer: A

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Question 15

Solve the inequality $x^2 - 4x + 3 > 0$.

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

B. x < 1 \text{ or } x > 3

C. x < 1 \text{ or } x < 3

D. x > 1 \text{ or } x < 3

Correct Answer: A

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Question 16

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 12155

B. 12158

C. 12161

D. 12164

Correct Answer: A

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Question 17

A rec\tangular solid has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.

Correct A. 72

B. 80

C. 88

D. 96

Correct Answer: A

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Question 18

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

Correct A. x < -1 or x > 3/2

B. x > -1 or x < 3/2

C. x < 3/2 or x > -1

D. x > 3/2 or x < -1

Correct Answer: A

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Question 19

Find the derivative of the function f(x) = 3x^2 - 2x + 1.

Correct A. 6x - 2

B. 6x + 2

C. 3x^2 - 2

D. 3x^2 + 2

Correct Answer: A

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Question 20

A right triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.

Correct A. 8

B. 6

C. 4

D. 2

Correct Answer: A

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Question 21

Solve the inequality $ 2x^2 + 5x - 3 > 0 $ for ( x ) in the interval $ -infty, infty \ $ ).

Correct A. \frac{-5 + \sqrt{49}}{4}

B. \frac{-5 - \sqrt{49}}{4}

C. \frac{-5 + \sqrt{25}}{4}

D. \frac{-5 - \sqrt{25}}{4}

Correct Answer: A

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Question 22

A sequence is defined by $ a_n = 2n^2 - 3n + 1 $. Find the sum of the first five terms of the sequence.

Correct A. 120

B. 130

C. 140

D. 150

Correct Answer: A

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Question 23

A set of data is given by the following table. Find the mean of the data.

A. 25

Correct B. 30

C. 35

D. 40

Correct Answer: B

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Question 24

Solve the equation $ x^2 + 4x + 4 = 0 $ u\sing the quadratic formula.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 25

A polynomial is defined by ( p(x) = x^3 - 2x^2 + x - 1 ). Find the value of $ p\( -1 \ $ ).

Correct A. -3

B. -2

C. -1

D. 0

Correct Answer: A

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