Exam Body

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POST UTME ACHIEVERS UNIVERSITY 2019 Mathematics | Objective

Are you preparing for POST UTME ACHIEVERS UNIVERSITY 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.

Practice these randomly selected questions to test your readiness.

Question 1

Solve for x in the equation $ \log_{10} \( x^2 \ $ = 4 )

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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Question 2

Find the value of y in the equation $ y = \frac{1}{2} x^2 + 3x - 4 $ when x = 2

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 3

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

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (1, ∞)

C. $ -∞, 1 $ ∪ (3, ∞)

D. $ -∞, -3 $ ∪ (1, ∞)

Correct Answer: A

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Question 4

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

Correct A. y = x + 1

B. y = x - 1

C. y = -x + 1

D. y = x + 2

Correct Answer: A

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Question 5

A survey of 100 students found that 70% preferred pizza, 20% preferred burgers, and 10% preferred sandwiches. What is the probability that a randomly selected student prefers pizza or burgers?

Correct A. 0.9

B. 0.8

C. 0.7

D. 0.6

Correct Answer: A

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Question 6

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{pmatrix} ].

Correct A. 25

B. 30

C. 35

D. 40

Correct Answer: A

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Question 7

A polynomial has roots at x = -2, x = 3, and x = 4. What is the polynomial in factored form?

Correct A. $ x + 2 $$ x - 3 $$ x - 4 $

B. $ x + 2 $$ x - 3 $$ x - 4 $

C. $ x + 2 $$ x - 3 $$ x - 4 $

D. $ x + 2 $$ x - 3 $$ x - 4 $

Correct Answer: A

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Question 8

Find the volume of the solid formed by revolving the region bounded by y = x^2, y = 0, and x = 2 about the x-axis.

Correct A. 16π

B. 32π

C. 64π

D. 128π

Correct Answer: A

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Question 9

A set A has 5 elements, and a set B has 3 elements. What is the number of elements in the union of sets A and B?

A. 6

Correct B. 7

C. 8

D. 9

Correct Answer: B

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Question 10

A sequence is defined by the formula an = 2n + 1. What is the sum of the first 5 terms of the sequence?

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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Question 11

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

Correct A. 2 < x < 4

B. x > 4

C. x > 2

D. x < 2

Correct Answer: A

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Question 12

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. 24\pi cm^3

Correct B. 48\pi cm^3

C. 72\pi cm^3

D. 96\pi cm^3

Correct Answer: B

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Question 13

Find the area under the curve $ y = x^2 + 2x - 3 $ from $ x = 1 $ to $ x = 4 $.

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 14

Solve the trigonometric equation $ 2 \sin^2 x + 3 \cos x - 1 = 0 $ for ( 0 leq x leq 2 pi ).

Correct A. \frac{\pi}{6}, \frac{5\pi}{6}

B. \frac{\pi}{4}, \frac{3\pi}{4}

C. \frac{\pi}{3}, \frac{2\pi}{3}

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

Correct Answer: A

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Question 15

A right-angled triangle has a hypotenuse of length 10 cm and one of its legs is 6 cm. Find the length of the other leg.

Correct A. 8 cm

B. 6 cm

C. 4 cm

D. 2 cm

Correct Answer: A

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Question 16

Find the volume of the solid formed by revolving the region bounded by the parabola $ y = x^2 $ and the line $ y = 4 $ about the x-axis.

Correct A. $ \frac{64}{5} pi $

B. $ \frac{32}{3} pi $

C. $ \frac{16}{3} pi $

D. $ \frac{8}{3} pi $

Correct Answer: A

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Question 17

Solve the inequality $ |2x - 3| geq 5 $.

Correct A. $ x leq -1 $ or ( x geq 4 )

B. $ x leq -4 $ or ( x geq 1 )

C. ( x leq 1 ) or ( x geq 4 )

D. $ x leq -4 $ or ( x geq 1 )

Correct Answer: A

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Question 18

Find the area of the triangle with vertices (A(1, 2)), (B(4, 6)), and (C(2, 1)).

A. $ 5 \sqrt{3} $

B. $ 10 \sqrt{3} $

Correct C. $ 15 \sqrt{3} $

D. $ 20 \sqrt{3} $

Correct Answer: C

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Question 19

Solve the system of linear equations $ 2x + 3y = 7 $ and $ x - 2y = -3 $.

Correct A. $ x = 1, y = 2 $

B. $ x = 2, y = 1 $

C. $ x = 3, y = 4 $

D. $ x = 4, y = 3 $

Correct Answer: A

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Question 20

Find the determinant of the matrix $ egin{bmatrix} 2 & 1 & 4 \ 3 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix} $.

Correct A. ( 0 )

B. ( 1 )

C. ( 2 )

D. ( 3 )

Correct Answer: A

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Question 21

A polynomial $p(x)$ has degree 4 and has roots $x = 1, x = -2, x = 3,$ and $x = -4.$ Find the value of $p(0)$.

Correct A. 0

B. 24

C. -24

D. 48

Correct Answer: A

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Question 22

A solid right circular cone has a height of 12 cm and a base radius of 6 cm. Find the volume of the cone.

Correct A. 288\pi

B. 288\pi/3

C. 288\pi/2

D. 288\pi/4

Correct Answer: A

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Question 23

Solve for $x$: $\log_{10} $ x^2 $ = 4$.

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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Question 24

A matrix $A$ is given by $\begin{bmatrix} 2 & 1 \\ 4 & 3 \end{bmatrix}$. Find the determinant of $A$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 25

A histogram is given below. Find the mean of the data.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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