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POST UTME BABCOCK UNIVERSITY 2024 Mathematics | Objective

Prepare for your exams with POST UTME BABCOCK UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

In a triangle (ABC\), if $\(1A = \\((ABC), if \frac{1}{3}$ and 1B = $\frac{1}{2}$\), find $$1C$.

Correct A. $\frac{\sqrt{5}}{5}$

B. $\frac{5}${$\sqrt{5}$}\)

C. $\frac{\sqrt{5}}{2}$

D. $\frac{2}${$\sqrt{5}$}\)

Correct Answer: A

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Question 2 View Details

Find the volume of the solid formed by revolving the region bounded by $y = x^2$ and $y = 4 - x$ about the $x$-axis.

Correct A. $\frac{256}{15}$\)\pi

B. $\frac{256}{3}$\)\pi

C. $\frac{256}{5}$\)\pi

D. $\frac{256}{7}$\)\pi

Correct Answer: A

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Question 3 View Details

In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side.

Correct A. 8 cm

B. 6 cm

C. 10 cm

D. 12 cm

Correct Answer: A

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Question 4 View Details

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

Correct A. \pm 4

B. \pm 2

C. \pm 1

D. \pm 3

Correct Answer: A

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Question 5 View Details

Find the surface area of the sphere with radius 5 cm.

A. 250\pi $cm^2$

Correct B. 500\pi $cm^2$

C. 750\pi $cm^2$

D. 1000\pi $cm^2$

Correct Answer: B

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Question 6 View Details

Find the equation of the circle with centre at ((2,3)) and radius (5).

Correct A. $x-2 \$^2 + $y-3$^$2 = 25$ )

B. $x+2 \$^2 + $y+3$^$2 = 25$ )

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

D. $x+3 \$^2 + $y+2$^$2 = 25$ )

Correct Answer: A

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Question 7 View Details

Solve the inequality $|x-2| \geq 3$.

Correct A. $x \leq -1$ or ( x geq 5 )

B. ( x leq 1 ) or ( x geq 5 )

C. $x \leq -1$ or ( x geq 4 )

D. ( x leq 1 ) or ( x geq 4 )

Correct Answer: A

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Question 8 View Details

Find the value of ($12\theta$ given that \$($12theta$\(1\theta = \frac{3}{5}$ and 1\$theta =$$\frac{4}{5}$\).

Correct A. $\frac{24}{25}$

B. $\frac{16}{25}$

C. $\frac{12}{25}$

D. $\frac{20}{25}$

Correct Answer: A

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Question 9 View Details

A rectangular box has a length of ( 6 ) cm, a width of ( 4 ) cm, and a height of ( 3 ) cm. Find the volume of the box.

Correct A. ( 72 ) cm$^3$

B. ( 48 ) cm$^3$

C. ( 36 ) cm$^3$

D. ( 24 ) cm$^3$

Correct Answer: A

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Question 10 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

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Question 11 View Details

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

Correct A. text{Equation: } $x - 2$^2 + \$text{Equation:} (x - 2\(y - 3$^$2 = 16$

B. text{Equation: } $x + 2$^2 + \$text{Equation:} (x + 2\(y - 3$^$2 = 16$

C. text{Equation: } $x - 2$^2 + \$text{Equation:} (x - 2\(y + 3$^$2 = 16$

D. text{Equation: } $x + 2$^2 + \$text{Equation:} (x + 2\(y + 3$^$2 = 16$

Correct Answer: A

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Question 12 View Details

Solve the system of linear equations: \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}

Correct A. \text{Solution: } $x = 2$, $y = 2$

B. \text{Solution: } $x = 1$, $y = 3$

C. \text{Solution: } $x = 3$, $y = 1$

D. \text{Solution: } $x = 4$, $y = 0$

Correct Answer: A

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Question 13 View Details

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

Correct A. \text{Volume: } $\frac{16}{3}$\) \pi

B. \text{Volume: } $\frac{32}{3}$\) \pi

C. \text{Volume: } $\frac{64}{3}$\) \pi

D. \text{Volume: } $\frac{128}{3}$\) \pi

Correct Answer: A

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Question 14 View Details

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

Correct A. \text{Solution: } x \leq -1 \text{ or } x \geq $\frac{3}{2}$\)

B. \text{Solution: }$x < -1$\text{ or }$x >$$\frac{3}{2}$\)

C. \text{Solution: } x \leq -1 \text{ or }$x <$$\frac{3}{2}$\)

D. \text{Solution: }$x > -1$\text{ or } x \geq $\frac{3}{2}$\)

Correct Answer: A

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Question 15 View Details

Find the value of (\log_{10} $x^2$\) given that \$(log_{10} x^2\(\log_{10} x = 2$.

Correct A. \text{Value: } 4

B. \text{Value: } 6

C. \text{Value: } 8

D. \text{Value: } 10

Correct Answer: A

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Question 16 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2 + 1}$\)\) ) using the chain rule.

Correct A. ( f'$(x) =$$\frac{-2x}{x^2 + 1$ ^2}\)\) )

B. ( f'$(x) =$$\frac{2x}{x^2 + 1$ ^2}\)\) )

C. ( f'$(x) =$$\frac{2}{x^2 + 1$ ^2}\)\) )

D. ( f'$(x) =$$\frac{-2}{x^2 + 1$ ^2}\)\) )

Correct Answer: A

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Question 17 View Details

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the surface area of the prism.

Correct A. $2 5 \times 3 + 3 \times 2 + 5 \times 2 \$ )

B. $2 5 \times 3 + 3 \times 2 + 5 \times 3 \$ )

C. $2 5 \times 3 + 3 \times 5 + 2 \times 5 \$ )

D. $2 5 \times 3 + 3 \times 5 + 2 \times 3 \$ )

Correct Answer: A

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Question 18 View Details

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

A. $\frac{8}{3} \pi$

Correct B. $\frac{16}{3} \pi$

C. $\frac{32}{3} \pi$

D. $\frac{64}{3} \pi$

Correct Answer: B

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Question 19 View Details

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

Correct A. ( 16 pi )

B. ( 32 pi )

C. ( 64 pi )

D. ( 128 pi )

Correct Answer: A

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Question 20 View Details

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

Correct A. ( f'$(x) = 2$\sin(x) \cos(x) )

B. ( f'$(x) = 2$\cos(x) \sin(x) )

C. ( f'$(x) = 2$\$\sin^2(x)$ \cos(x) )

D. ( f'$(x) = 2$\$\cos^2(x)$ \sin(x) )

Correct Answer: A

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Question 21 View Details

Let $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 1 \ -1 end{pmatrix}$. Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula $\\(end{pmatrix}). Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula \mathrm{proj}_{\mathbf{a}} \mathbf{b} = \frac{\mathbf{a} \cdot \mathbf{b}}{| \mathbf{a} |^2} \mathbf{a}$.

Correct A. 0.6

B. 0.8

C. 1.2

D. 1.5

Correct Answer: A

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Question 22 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3 or 5?

A. $1/3$

B. $1/2$

Correct C. $2/3$

D. $5/6$

Correct Answer: C

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Question 23 View Details

The volume of a cube is given by $V = s^3$, where ( s ) is the length of a side. If the volume of the cube is 216 cubic units, what is the length of a side?

A. 3

B. 4

Correct C. 6

D. 8

Correct Answer: C

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Question 24 View Details

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

A. 0

Correct B. -2

C. -4

D. 2

Correct Answer: B

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Question 25 View Details

A right triangle has a hypotenuse of length 10 and one leg of length 6. Find the length of the other leg.

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

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