POST UTME ACHIEVERS UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 128
C. 256
D. 512
Question 2
Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 10
B. 12
C. 14
D. 16
Question 3
Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, ... )
A. 195
B. 205
C. 215
D. 225
Question 4
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. ( 1 )
B. ( 2 )
C. ( 3 )
D. ( 4 )
Question 5
Find the derivative of the function $f(x) = \ln\( x^2 \)$.
A. 2/x
B. 1/x
C. 2/x^2
D. 1/x^2
Question 6
Find the area under the curve [ y = x^2 + 2x - 3 ] from x = 0 to x = 4.
A. 20
B. 30
C. 40
D. 50
Question 7
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 unknown, calculate the 95% confidence interval for the mean height of all students in the university.
A. 170.3 cm, 180.7 cm
B. 168.1 cm, 182.9 cm
C. 169.5 cm, 181.5 cm
D. 171.1 cm, 179.9 cm
Question 8
A rec\tangular prism has a length of 15 cm, a width of 8 cm, and a height of 6 cm. Find the surface area of the prism in square centimeters.
A. 300
B. 320
C. 340
D. 360
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -3 \) or \( x > 1 \)
D. \( x < 3 \) or \( x > 1 \)
Question 10
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 11
Solve the matrix equation \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. x = 1, y = 2
B. x = 2, y = 3
C. x = 3, y = 4
D. x = 4, y = 5
Question 12
Find the area under the curve of the function \( f(x) = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{6}
D. \frac{\pi}{3}
Question 13
A binary operation \( \ast \) on the set \( \{ 1, 2, 3, 4 \} \) is defined as \( a \ast b = a + b \). Find the value of \( 2 \ast 3 \).
A. 5
B. 6
C. 7
D. 8
Question 14
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula. What is the value of x?
A. -2
B. -3
C. -1
D. 1
Question 15
A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg.
A. 4 cm
B. 6 cm
C. 8 cm
D. 12 cm

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: