Exam Body

Year

Subject

Paper Type

POST UTME FUTO 2018 Mathematics | Objective

Prepare for your exams with POST UTME FUTO questions? Reviewing past/model 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 View Details

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

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

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

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

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

Correct Answer: A

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

Question 2 View Details

A circle with center ( C(2, 3) ) and radius ( 4 ) has a chord ( AB ) of length ( 6 ). Find the distance from the center ( C ) to the chord ( AB ).

Correct A. \(2 \sqrt{5}\)

B. \(\sqrt{5}\)

C. \(2 \sqrt{3}\)

D. \(\sqrt{3}\)

Correct Answer: A

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

Question 3 View Details

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

Correct A. \(\frac{16}{3} \pi\)

B. \(\frac{32}{3} \pi\)

C. \(\frac{64}{3} \pi\)

D. \(\frac{128}{3} \pi\)

Correct Answer: A

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

Question 4 View Details

A histogram with class boundaries ( 0, 2, 4, 6, 8 ) and corresponding frequencies ( 3, 5, 7, 2, 1 ) has a mean of ( 4 ). Find the median of the data.

Correct A. ( 4 )

B. ( 5 )

C. ( 6 )

D. ( 7 )

Correct Answer: A

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

Question 5 View Details

Solve the inequality \(\log_{10} x^2 \\)\(> 4 ).\)

Correct A. \(x > 10\)

B. \(x < 10\)

C. \(x > 100\)

D. \(x < 100\)

Correct Answer: A

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

Question 6 View Details

A cylindrical \tank with a radius of 5m and a height of 10m is filled with water. If the water level rises by 2m, calculate the volume of water added in cubic meters.

A. 100π

Correct B. 200π

C. 50π

D. π

Correct Answer: B

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

Question 7 View Details

Two events, A and B, are independent. If P(A) = 0.4 and P(B) = 0.6, calculate the probability that both events occur.

Correct A. 0.24

B. 0.48

C. 0.64

D. 0.76

Correct Answer: A

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

Question 8 View Details

A polynomial function f(x) = \(ax^3 + bx^2 + cx + d\) has roots at x = -2, \(x = 1\), and \(x = 3\). If f(0) = 10, calculate the value of a.

A. -2

B. 2

Correct C. 4

D. 6

Correct Answer: C

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

Question 9 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, calculate the probability that a randomly selected score is between 50 and 70.

A. 0.34

Correct B. 0.68

C. 0.84

D. 0.98

Correct Answer: B

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

Question 10 View Details

A circle with a radius of 4cm has a chord that is 6cm long. Calculate the distance from the center of the circle to the midpoint of the chord.

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 11 View Details

Determine the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm. The slant height of the frustum is 8 cm.

A. 48\pi

B. 64\pi

Correct C. 80\pi

D. 96\pi

Correct Answer: C

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

Question 12 View Details

A binary operation (*\) on the set \{0, 1, 2\\((*) on the set \} is defined as follows: \begin{align*}\n0\*0&=0,\quad 0\*\(1 = 1\),\quad 0\*\(2 = 2\),\n1\*0&=1,\quad 1\*\(1 = 0\),\quad 1\*\(2 = 2\),\n2\*0&=2,\quad 2\*\(1 = 2\),\quad 2\*\(2 = 0\).\nend{align*}Find the value of \(1\*2)\*0\\).

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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

Question 13 View Details

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. Find the probability that the number of heads observed is 2.

A. \(\frac{1}{6}\)\)

B. \(\frac{1}{12}\)\)

Correct C. \(\frac{1}{4}\)\)

D. \(\frac{1}{3}\)\)

Correct Answer: C

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

Question 14 View Details

The surface area of a sphere of radius 5 cm is 250\pi \(cm^2\). Find the volume of the sphere.

A. 125\pi

Correct B. 250\pi

C. 500\pi

D. 1000\pi

Correct Answer: B

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

Question 15 View Details

Solve for x in the equation \(\log_2 x^2\) - \log_\(2(x) = 2\)\).

A. 4

B. 8

Correct C. 16

D. 32

Correct Answer: C

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

Question 16 View Details

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. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2 \times 4\)

Correct Answer: A

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

Question 17 View Details

Solve the system of equations \(egin{cases} x + y = 4 \ 2x - 3y = -1 \end{cases}\) using matrices.

Correct A. \(egin{pmatrix} 1 & 1 \ 2 & -3 \end{pmatrix}\)

B. \(egin{pmatrix} 1 & 2 \ 1 & -3 \end{pmatrix}\)

C. \(egin{pmatrix} 1 & 1 \ 2 & -1 \end{pmatrix}\)

D. \(egin{pmatrix} 1 & 1 \ 2 & 3 \end{pmatrix}\)

Correct Answer: A

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

Question 18 View Details

A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4?

A. \(\frac{1}{6}\)

B. \(\frac{1}{2}\)

C. \(\frac{2}{3}\)

Correct D. \(\frac{5}{6}\)

Correct Answer: D

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

Question 19 View Details

Find the derivative of the function \(y = \sin^2 x\) using the chain rule.

Correct A. \(2 \(1x\)1x\)

B. \(\cos^2 x\)

C. \(\(1x\)1x\)

D. \(\sin^2 x\)

Correct Answer: A

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

Question 20 View Details

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

Correct A. \(x < - \frac{3}{2}\) or \(x > \frac{1}{2}\)

B. \(x < - \frac{1}{2}\) or \(x > \frac{3}{2}\)

C. \(x < - \frac{3}{2}\) or \(x < \frac{1}{2}\)

D. \(x < - \frac{1}{2}\) or \(x > \frac{3}{2}\)

Correct Answer: A

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

Question 21 View Details

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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

Question 22 View Details

Solve the 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 23 View Details

Find the value of [ sin(2x) \] given that [ \\(sin(x) =\)\\(sin(2x) ] given that [ \(\frac{1}{2}\)\) \].

A. \(\frac{1}{2}\)\)

Correct B. \(\frac{\sqrt{3}}{2}\)

C. \(\frac{1}\){\(\sqrt{2}\)}\)

D. \(\frac{\sqrt{3}}{\sqrt{2}}\)

Correct Answer: B

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

Question 24 View Details

If [ \overrightarrow{a} = \begin{pmatrix} 2 \ 3 \ 4 \end{pmatrix} \] and [ \overrightarrow{b} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \], find the value of [ \overrightarrow{a} \cdot \overrightarrow{b} \].

Correct A. 25

B. 26

C. 27

D. 28

Correct Answer: A

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

Question 25 View Details

Solve the equation [ \\((x^2 + 2x + 1\)\(= 0\)\) \] using the quadratic formula.

Correct A. \(x = -1\)

B. \(x = 1\)

C. \(x = -2\)

D. \(x = 2\)

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