POST UTME LASU 2021 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 \( x = 4 \) u\sing integration.
A. 64
B. 32
C. 16
D. 8
Question 2
Find the sum of the first 10 terms of the geometric progression with first term 2 and common ratio 3.
A. 59049
B. 59048
C. 59050
D. 59051
Question 3
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. 0
B. -1
C. 1
D. 2
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. \left\( -2, \infty \right \)
B. \left( -\infty, -2 \right]
C. \left( -\infty, 2 \right]
D. \left\( 2, \infty \right \)
Question 5
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^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 )
Question 6
A vector \( \vec{a} \) has components \( a_x = 3 \) and \( a_y = 4 \). Find the magnitude of the vector.
A. \( 5 \ \)
B. \( 10 \ \)
C. \( 15 \ \)
D. \( 20 \ \)
Question 7
A set of 3 numbers has a mean of 10 and a median of 8. If the largest number is 12, what is the sum of the 3 numbers?
A. 30
B. 32
C. 34
D. 36
Question 8
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 9
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 8
C. 10
D. 12
Question 10
Find the sum of the first 5 terms of the geometric series with first term 2 and common ratio 3.
A. 121
B. 143
C. 165
D. 187
Question 11
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 12
Solve for x in the equation \[ \log_{10} \( x^2 \) = 4 \].
A. 10^4
B. 10^8
C. 10^12
D. 10^16
Question 13
In a triangle with sides of length 5, 12, and 13, find the area u\sing Heron's formula.
A. 30
B. 40
C. 50
D. 60
Question 14
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
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 \( x < \frac{3}{2} \ \)
Question 15
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \), with initial term \( a_1 = 3 \). Find the value of \( a_{10} \).
A. 1023
B. 1024
C. 1025
D. 1026

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: