Exam Body

Year

Subject

Paper Type

POST UTME AAUA 2022 Mathematics | Objective

Are you preparing for POST UTME AAUA exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 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 solid formed by rotating the region bounded by the curves y = x^2 and y = 4 - x^2 about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

If f(x) = \frac{1}{x^2 + 1}, find f'(x).

Correct A. \frac{-2x}{\( x^2 + 1 \)^2}

B. \frac{2x}{\( x^2 + 1 \)^2}

C. \frac{x}{\( x^2 + 1 \)^2}

D. \frac{-x}{\( x^2 + 1 \)^2}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Solve the equation \sin^2 x + \cos^2 x = 1 for x in the interval [0, 2\pi].

Correct A. \frac{\pi}{4}

B. \frac{\pi}{2}

C. \frac{3\pi}{4}

D. \frac{5\pi}{4}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 2.

A. 10

B. 20

Correct C. 30

D. 40

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A circle with radius 4 cm is inscribed in a square. Find the area of the square.

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

Solve the inequality \( \frac{x}{x-2} > 2 \) for \( x > 2 \).

A. x > 4

Correct B. x > 6

C. x > 8

D. x > 10

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x + 2

D. y = x - 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly three elements.

A. 10

B. 15

Correct C. 20

D. 25

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

Find the sum of the infinite geometric series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots \).

A. 2

Correct B. 4

C. 8

D. 16

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).

Correct A. x = -2

B. x = 2

C. x = -1

D. x = 1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Find the area under the curve y = 2x^2 + 3x - 4 from x = 0 to x = 2.

A. 12

Correct B. 16

C. 20

D. 24

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

Solve the system of equations u\sing matrices: \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 5 \\ 11 \end{bmatrix}.

Correct A. \begin{bmatrix} 1 \\ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \\ 3 \end{bmatrix}

C. \begin{bmatrix} 3 \\ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \\ 5 \end{bmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

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

A. \( x - 1 \)^2 + \( y - 2 \)^2 = 9

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

C. \( x - 3 \)^2 + \( y - 2 \)^2 = 25

D. \( x - 4 \)^2 + \( y - 3 \)^2 = 36

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

Solve for x in the equation 2^x + 3^x = 5^x.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

Find the vector equation of the line pas\sing through the points (1, 2) and (3, 4).

A. \vec{r} = \begin{bmatrix} 1 \\ 2 \end{bmatrix} + t\begin{bmatrix} 1 \\ 1 \end{bmatrix}

Correct B. \vec{r} = \begin{bmatrix} 1 \\ 2 \end{bmatrix} + t\begin{bmatrix} 2 \\ 3 \end{bmatrix}

C. \vec{r} = \begin{bmatrix} 1 \\ 2 \end{bmatrix} + t\begin{bmatrix} 3 \\ 4 \end{bmatrix}

D. \vec{r} = \begin{bmatrix} 1 \\ 2 \end{bmatrix} + t\begin{bmatrix} 4 \\ 5 \end{bmatrix}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

Solve the equation \( 2^x + 3^x = 5^x \) for ( x ).

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A circle has a radius of 5 cm. Find the area of the circle.

A. 50

B. 75

Correct C. 100

D. 125

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A die is rolled. Find the probability that the number obtained is greater than 4.

Correct A. 1/6

B. 1/3

C. 1/2

D. 2/3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

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

A. y = x + 1

B. y = x - 1

Correct C. y = 2x - 1

D. y = 2x + 1

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

In a binary operation \( * \) on the set of vectors \( mathbb{R}^2 \), the operation is defined as ((mathbf{a}, mathbf{b}) mapsto mathbf{a} cdot mathbf{b}). If \( mathbf{a} = \( 1, 2 \ \)) and \( mathbf{b} = \( 3, 4 \ \)), find \( mathbf{a} * mathbf{b} \).

A. 7

Correct B. 11

C. 13

D. 15

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

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

A. 8π/3

Correct B. 16π/3

C. 32π/3

D. 64π/3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

Solve the equation \( \log_{10} \( x^2 \ \) = 4).

A. 2

B. 4

Correct C. 8

D. 16

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Find the surface area of the sphere with radius 5.

A. 50π

B. 100π

Correct C. 150π

D. 200π

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

Solve the inequality \( \frac{x}{x - 1} > 1 \).

Correct A. \( -∞, 0 \) ∪ (1, ∞)

B. \( -∞, 1 \) ∪ (1, ∞)

C. \( -∞, 0 \) ∪ (1, 2)

D. \( -∞, 1 \) ∪ (2, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support