POST UTME RSU 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a triangle $ABC$, the length of side $AB$ is 5 cm, the length of side $BC$ is 6 cm, and the length of side $AC$ is 7 cm. Find the area of the triangle.
A. 12 cm²
B. 15 cm²
C. 18 cm²
D. 20 cm²
Question 2
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{2}{3} \)
D. \( \frac{5}{6} \)
Question 3
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 4
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. 8 cm
B. 6 cm
C. 10 cm
D. 12 cm
Question 5
A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. What is the average speed for the round trip?
A. 48 km/h
B. 50 km/h
C. 52 km/h
D. 55 km/h
Question 6
If $x^2 + 2x + 1 = 0$, find the value of $x^3 + 2x^2 + x + 1$.
A. -1
B. 0
C. 1
D. 2
Question 7
A circle passes through the points (2, 3) and (4, 5). Find the equation of the circle.
A. x² + y² - 6x - 2y + 11 = 0
B. x² + y² - 4x - 6y + 11 = 0
C. x² + y² - 2x - 4y + 11 = 0
D. x² + y² + 2x + 4y + 11 = 0
Question 8
Find the equation of the circle with center \( C\( -2, 3 \ \) ) 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 9
In a circle of radius 4 cm, a chord of length 6 cm subt\ends an angle of 60° at the centre. Find the area of the sector.
A. 12π cm²
B. 16π cm²
C. 20π cm²
D. 24π cm²
Question 10
Solve the system of equations x + y = 4 and xy = 6.
A. x = 2, y = 2
B. x = 3, y = 1
C. x = 1, y = 3
D. x = 4, y = 0
Question 11
Solve the system of equations \( egin{cases} x + y = 3 \ 2x - 3y = - 5 \end{cases} \).
A. \( x = 2, y = 1 \)
B. \( x = 1, y = 2 \)
C. \( x = 2, y = 2 \)
D. \( x = 1, y = 1 \)
Question 12
Solve the inequality \( 2x^2 + 5x - 3 \ge 0 \).
A. \( x \le -\frac{3}{2} \) or \( x \ge \frac{1}{2} \)
B. \( x \le -\frac{1}{2} \) or \( x \ge \frac{3}{2} \)
C. \( x \le -\frac{1}{2} \) or \( x \ge \frac{1}{2} \)
D. \( x \le -\frac{3}{2} \) or \( x \ge -\frac{1}{2} \)
Question 13
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.
A. 8 cm
B. 6 cm
C. 10 cm
D. 12 cm
Question 14
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 15
A right circular cone has a height of 15 cm and a base radius of 8 cm. Find its volume.
A. 1000π cm^3
B. 1200π cm^3
C. 1500π cm^3
D. 1800π cm^3

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