Exam Body

Year

Subject

Paper Type

POST UTME FUTA 2020 Mathematics | Objective

Are you preparing for POST UTME FUTA exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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

Question 2

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.

A. -2

Correct B. -3

C. 1

D. 2

Correct Answer: B

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

Question 3

In the diagram below, find the value of x.

A. 3

B. 4

Correct C. 5

D. 6

Correct Answer: C

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

Question 4

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 5

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 = 36

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49

Correct Answer: A

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

Question 6

A solid right circular cone has a height of 10 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.

A. 200\pi

B. 400\pi

Correct C. 800\pi

D. 1600\pi

Correct Answer: C

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

Question 7

A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even, the coin is flipped twice. If the number on the die is odd, the coin is flipped only once. What is the probability that the coin lands heads up?

A. \frac{1}{6}

B. \frac{1}{3}

Correct C. \frac{1}{2}

D. \frac{2}{3}

Correct Answer: C

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

Question 8

Find the derivative of the function \( f(x) = \frac{x^2 - 4x + 3}{x^2 - 2x - 3} \) u\sing the quotient rule.

A. \frac{2x - 4}{\( x^2 - 2x - 3 \)^2}

Correct B. \frac{2x - 4}{\( x^2 - 2x - 3 \)^2} + \frac{2x - 2}{x^2 - 2x - 3}

C. \frac{2x - 4}{\( x^2 - 2x - 3 \)^2} - \frac{2x - 2}{x^2 - 2x - 3}

D. \frac{2x - 4}{\( x^2 - 2x - 3 \)^2} - \frac{2x - 2}{\( x^2 - 2x - 3 \)^2}

Correct Answer: B

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

Question 9

In a set of 10 integers, the sum of the first 5 integers is 25 and the sum of the last 5 integers is 30. If the integers are arranged in increa\sing order, what is the median of the set?

A. 27

B. 28

Correct C. 29

D. 30

Correct Answer: C

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

Question 10

A sequence is defined recursively as \( a_n = 2a_{n-1} + 1 \) with \( a_1 = 3 \). Find the sum of the first 5 terms of the sequence.

A. 63

B. 65

Correct C. 67

D. 69

Correct Answer: C

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.

Correct A. \frac{8}{3}

B. \frac{16}{3}

C. \frac{20}{3}

D. \frac{24}{3}

Correct Answer: A

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

Question 12

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is between 60 and 90.

Correct A. 0.8413

B. 0.8419

C. 0.8423

D. 0.8431

Correct Answer: A

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

Question 13

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. \frac{32\pi}{5}

B. \frac{64\pi}{5}

C. \frac{128\pi}{5}

D. \frac{256\pi}{5}

Correct Answer: A

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

Question 14

A set of numbers has a mean of 20 and a s\tandard deviation of 5. If the numbers are normally distributed, find the probability that a randomly selected number is less than 15.

Correct A. 0.1587

B. 0.1589

C. 0.1591

D. 0.1593

Correct Answer: A

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

Question 15

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

Correct A. \frac{32\pi}{3}

B. \frac{64\pi}{3}

C. \frac{128\pi}{3}

D. \frac{256\pi}{3}

Correct Answer: A

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

Question 16

Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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

Question 17

Solve for x in the equation \( egin{pmatrix} 2 & 1 \ 1 & 2 \end{pmatrix} egin{pmatrix} x \ 1 \end{pmatrix} = egin{pmatrix} 3 \ 3 \end{pmatrix} \).

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 histogram of exam scores is shown below. If the mean score is 70, what is the value of x?

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 19

Solve the inequality \( \frac{x+2}{x-1} > 0 \).

Correct A. \( -∞, -2 \) ∪ (1, ∞)

B. \( -∞, -1 \) ∪ (1, ∞)

C. \( -∞, 1 \) ∪ (2, ∞)

D. \( -∞, 1 \) ∪ (3, ∞)

Correct Answer: A

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

Question 20

A binary operation ( ast ) is defined as \( a ast b = a^2 + b^2 \). Find the value of ( 2 ast 3 ).

A. 13

B. 14

Correct C. 15

D. 16

Correct Answer: C

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

Question 21

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

Correct A. \boxed{\( x + 2 \)^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

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

Question 22

The mean of 5 numbers is 15. If one of the numbers is 10, find the sum of the other 4 numbers.

Correct A. 45

B. 50

C. 55

D. 60

Correct Answer: A

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

Question 23

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

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

Question 24

Find the sum of the first 10 terms of the geometric series: 2, 6, 18, 54, ...

Correct A. 59049

B. 5904

C. 5904.5

D. 59049.5

Correct Answer: A

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

Question 25

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

Correct A. x = -2

B. x = -1 or x = -3

C. x = -1 or x = -4

D. x = -2 or x = -3

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