POST UTME REDEEMERS UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \( \frac{1}{6} \)
B. \( \frac{2}{6} \)
C. \( \frac{3}{6} \)
D. \( \frac{4}{6} \)
Question 2
Find the sum of the first 10 terms of the geometric progression with first term 2 and common ratio 3.
A. 3210
B. 3220
C. 3230
D. 3240
Question 3
Solve the inequality 2x^2 + 5x - 3 > 0.
A. x < -1 or x > 3/2
B. x < 1 or x > 3/2
C. x < -1 or x < 3/2
D. x > 1 or x > 3/2
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2}\left\( \frac{4^3}{3} + 3\cdot4^2 - 2\cdot4\right \ \) - \frac{1}{2}\left\( 0^3 + 3\cdot0^2 - 2\cdot0\right)\ \)
B. \( \frac{1}{2}\left\( \frac{4^3}{3} + 3\cdot4^2 - 2\cdot4\right \ \) + \frac{1}{2}\left\( 0^3 + 3\cdot0^2 - 2\cdot0\right)\ \)
C. \( \frac{1}{2}\left\( \frac{4^3}{3} + 3\cdot4^2 - 2\cdot4\right \ \) - \frac{1}{2}\left\( 0^3 + 3\cdot0^2 - 2\cdot0\right)\ \)
D. \( \frac{1}{2}\left\( \frac{4^3}{3} + 3\cdot4^2 - 2\cdot4\right \ \) + \frac{1}{2}\left\( 0^3 + 3\cdot0^2 - 2\cdot0\right)\ \)
Question 5
In the circle with equation \( x^2 + y^2 - 6x + 4y - 12 = 0 \), find the equation of the \tangent at the point ( (2, 3) ).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 6
Find the area under the curve y = \sin(x) from x = 0 to x = π/2.
A. 1
B. 1/2
C. π/2
D. π
Question 7
Find the volume of the frustum of a cone with height 8 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 256\pi cm^3
B. 512\pi cm^3
C. 768\pi cm^3
D. 1024\pi cm^3
Question 8
Solve the system of equations:
A. \( x = 2, y = 3 \)
B. \( x = 3, y = 2 \)
C. \( x = 1, y = 4 \)
D. \( x = 4, y = 1 \)
Question 9
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 10
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = -1 \)
C. \( x = 1 \)
D. \( x = 2 \)
Question 11
Find the value of x in the equation \log_{10} \( x^2 \) = 4.
A. 10^4
B. 10^8
C. 10^2
D. 10^6
Question 12
Find the determinant of the matrix \( egin{pmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{pmatrix} \).
A. -1
B. 1
C. 2
D. 4
Question 13
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. -1
D. 2
Question 14
Solve the equation \frac{1}{x} + \frac{1}{y} = \frac{1}{2} for x in terms of y.
A. x = 2y/\( y-2 \)
B. x = 2y/\( y+2 \)
C. x = 2y/\( y-1 \)
D. x = 2y/\( y+1 \)
Question 15
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 1 \) to \( x = 3 \).
A. 20
B. 30
C. 40
D. 50

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