Exam Body

Year

Subject

Paper Type

POST UTME OAU 2019 Mathematics | Objective

Are you preparing for POST UTME OAU 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

A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is 6.1 cm, calculate the 95% confidence interval for the population mean.

A. 168.3 cm, 182.7 cm

Correct B. 170.1 cm, 180.9 cm

C. 172.9 cm, 178.1 cm

D. 169.5 cm, 181.5 cm

Correct Answer: B

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

Question 2

Solve the following system of linear equations u\sing matrices:

Correct A. \[ \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 2 \\ 3 \end{bmatrix} \]

B. \[ \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 3 \\ 2 \end{bmatrix} \]

C. \[ \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 1 \\ 4 \end{bmatrix} \]

D. \[ \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 4 \\ 1 \end{bmatrix} \]

Correct Answer: A

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

Question 3

A binary operation $*$ on the set \{0, 1\} is defined as follows: $0 * 0 = 0, 0 * 1 = 1, 1 * 0 = 1, 1 * 1 = 1$. Find the value of $1 * \( 1 * 0)\ $.

A. 0

Correct B. 1

C. 10

D. 11

Correct Answer: B

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

Question 4

A random variable X has a probability distribution given by the following table:

A. 0.2

Correct B. 0.3

C. 0.4

D. 0.5

Correct Answer: B

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

Question 5

Solve the quadratic equation $x^2 + 4x + 4 = 0$.

Correct A. \[ x = -2 \]

B. \[ x = -1 \]

C. \[ x = 1 \]

D. \[ x = 2 \]

Correct Answer: A

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

Question 6

Find the value of x in the equation $ \frac{1}{2}x^2 + 5x - 3 = 0 $.

A. 1

B. -2

Correct C. 3

D. -1

Correct Answer: C

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

Question 7

Solve the inequality $ 2x - 5 > 3 $.

Correct A. x > 4

B. x < 4

C. x > 2

D. x < 2

Correct Answer: A

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

Question 8

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If they sell 30 more whole wheat loaves than white bread loaves, and they sell a total of 240 whole wheat loaves per day, how many white bread loaves do they sell per day?

A. 120

Correct B. 140

C. 160

D. 180

Correct Answer: B

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

Question 9

Find the value of x in the matrix equation $ egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 3 \ 3 \end{bmatrix} $.

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 10

A set of 5 numbers has a mean of 10. If 2 is added to each number, what is the new mean?

A. 10

B. 12

Correct C. 14

D. 16

Correct Answer: C

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

Question 11

Determine the mean of the data set {2, 4, 6, 8, 10} u\sing the formula for the mean of a finite set of numbers.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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

Question 12

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

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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

Question 13

Find the surface area of the sphere with radius 6 cm.

Correct A. 288\pi

B. 288\sqrt{\pi}

C. 288\pi^2

D. 288\pi^3

Correct Answer: A

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

Question 14

A set of 5 consecutive integers has a mean of 11. Find the sum of the integers.

Correct A. 55

B. 60

C. 65

D. 70

Correct Answer: A

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

Question 15

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

Correct A. $ -\infty, -1 $ \cup $ 3, \infty $

B. $ -\infty, 1 $ \cup $ 3, \infty $

C. $ -\infty, -1 $ \cup $ 1, \infty $

D. $ -\infty, 1 $ \cup $ 1, \infty $

Correct Answer: A

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 $ from $ x = 0 $ to $ x = 4 $.

Correct A. 8

B. 16

C. 32

D. 64

Correct Answer: A

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

Question 17

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

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 18

Find the value of $ \sin \( 2x \ $ ) given that $ \sin \( x \ $ = \frac{1}{2} ) and $ \cos \( x \ $ = \frac{\sqrt{3}}{2} ).

A. 1

Correct B. √3

C. 2

D. √3/2

Correct Answer: B

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

Question 19

A random variable ( X ) has a probability distribution given by $ P\( X = x \ $ = \frac{1}{2} ) for $ x = 1, 2, 3 $. Find the expected value of ( X ).

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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

Question 20

A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is greater than 70?

A. 0.25

B. 0.5

C. 0.75

Correct D. 0.9

Correct Answer: D

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

Question 21

In the interval $[0, 2pi]$, find the value of $\int_0^{2\pi} \frac{\sin^2 x}{1 + \cos^2 x} dx$.

Correct A. \frac{\pi}{2}

B. \frac{\pi}{4}

C. \frac{\pi}{8}

D. \frac{\pi}{16}

Correct Answer: A

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

Question 22

A random variable $X$ has a probability density function $f(x) = \begin{cases} \frac{1}{2} & \text{if } 0 < x < 2, \\ 0 & \text{otherwise}. \end{cases}$ Find $P$ 1 < X < 3 $.$

Correct A. \frac{1}{2}

B. \frac{1}{4}

C. \frac{3}{4}

D. \frac{1}{8}

Correct Answer: A

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

Question 23

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

Correct A. \frac{\pi}{2}

B. \frac{\pi}{4}

C. \frac{\pi}{8}

D. \frac{\pi}{16}

Correct Answer: A

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

Question 24

A population of bacteria is growing at a rate of 20% per hour. If there are initially 100 bacteria, how many bacteria will there be after 3 hours?

A. 1000

B. 1200

Correct C. 1500

D. 2000

Correct Answer: C

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

Question 25

A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. What is the average speed for the round trip?

A. 45

B. 50

C. 55

Correct D. 60

Correct Answer: D

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