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POST UTME FUTO 2020 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 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

In a circle with center O and radius 6, a chord AB is drawn such that $AB = 8$. Find the distance from O to the midpoint M of AB.

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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Question 2 View Details

A population of 1000 bacteria grows according to the equation P(t) = $500e^(0$.05t), where P(t) is the population at time t. Find the rate of change of the population with respect to time when the population is 750.

Correct A. 0.05

B. 0.1

C. 0.15

D. 0.2

Correct Answer: A

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Question 3 View Details

In a triangle ABC, the length of side AB is 5, the length of side BC is 6, and the angle between sides AB and BC is 60 degrees. Find the length of side AC.

A. 4

B. 5

Correct C. 6

D. 7

Correct Answer: C

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Question 4 View Details

A function f(x) is defined as f(x) = $2x^2 + 3x - 1$. Find the derivative of f(x) using the power rule.

Correct A. 4x + 3

B. $2x^2 + 3$

C. 4x + 1

D. $2x^2 - 1$

Correct Answer: A

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Question 5 View Details

A circle with center O and radius 4 is inscribed in a square with side length 8. Find the area of the shaded region.

A. 16

Correct B. 32

C. 64

D. 128

Correct Answer: B

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Question 6 View Details

Find the volume of the frustum of a cone with radii 6 cm and 3 cm, and height 8 cm.

A. 120\pi

B. 240\pi

Correct C. 360\pi

D. 480\pi

Correct Answer: C

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Question 7 View Details

Evaluate the definite integral $\int_0^1 x^2 $1x \, dx$.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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Question 8 View Details

Solve the equation $2x^2 + 5x - 3 = 0$ using the quadratic formula.

A. $-1/2$

Correct B. $1/2$

C. $-3/2$

D. $3/2$

Correct Answer: B

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Question 9 View Details

Find the area under the curve $y = $1x$ from $x = 0$ to $x = \pi/2$.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 10 View Details

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

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

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

C. $-\infty, 3$ \cup $3, \infty$

D. (1, 3)

Correct Answer: A

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Question 11 View Details

Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 6cm. The frustum is cut off by a plane parallel to the base.

A. 100\pi $cm^3$

B. 120\pi $cm^3$

Correct C. 150\pi $cm^3$

D. 180\pi $cm^3$

Correct Answer: C

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Question 12 View Details

A random variable X has a probability density function f(x) = $\frac{1}{2}$\) x, 0 \leq x \leq 2. Find the expected value of X.

A. 1

Correct B. 2

C. 4

D. 8

Correct Answer: B

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Question 13 View Details

Solve the equation $\frac{1}{x+1}$\) + $\frac{1}{x-2}$\) = $\frac{3}{2}$\).

A. $x = -1$

Correct B. $x = 2$

C. $x = -2$

D. $x = 4$

Correct Answer: B

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Question 14 View Details

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

A. 0.25

Correct B. 0.5

C. 0.75

D. 0.9

Correct Answer: B

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Question 15 View Details

A circle has a radius of 4cm. Find the area of the circle.

Correct A. 16\pi $cm^2$

B. 32\pi $cm^2$

C. 64\pi $cm^2$

D. 128\pi $cm^2$

Correct Answer: A

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Question 16 View Details

Find the value of x in the equation $2x^2 + 5x - 3 = 0$.

A. 1

Correct B. -1

C. -2

D. 2

Correct Answer: B

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Question 17 View Details

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

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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Question 18 View Details

Find the determinant of the matrix $\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}$.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 19 View Details

A sequence is defined as $a_n = 2n + 1$. Find 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 20 View Details

A set of numbers is defined as $S = \{1, 2, 3, 4, 5 \} \$. Find the number of subsets of S.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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Question 21 View Details

In the number system with base 8, what is the value of the expression $5 \times 8^2 + 3 \times 8^1 + 2 \times 8^0$?

A. 38

Correct B. 40

C. 42

D. 44

Correct Answer: B

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Question 22 View Details

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

A. 2

B. 4

Correct C. 8

D. 16

Correct Answer: C

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Question 23 View Details

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 + $y+3$^$2 = 16$ )

C. $x+2 \$^2 + $y-3$^$2 = 4$ )

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

Correct Answer: A

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Question 24 View Details

Find the determinant of the matrix $egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}$.

Correct A. 0

B. 1

C. -1

D. 2

Correct Answer: A

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Question 25 View Details

Find the vector ( mathbf{v} ) such that $\mathbf{v} \cdot \mathbf{i} = 3$ and $\mathbf{v} \cdot \mathbf{j} = 4$.

Correct A. $3\mathbf{i} + 4\mathbf{j}$

B. $4\mathbf{i} + 3\mathbf{j}$

C. $3\mathbf{i} - 4\mathbf{j}$

D. $-3\mathbf{i} + 4\mathbf{j}$

Correct Answer: A

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