In the diagram PQRS is a circle, |PT| = |QT| and β QPT = 70o what is the size of β PRS?
- A. 40o
- B. 70o
- C. 80o
- D. 140o
What is the equation of the curve?
- A. \(y=x^2+6x+4\)
- B. \(y=x^2-5x-4\)
- C. \(y=x^2-5x+4\)
- D. \(y=x^2+5x-4\)
What are the roots of the equation?
- A. -1 and 1
- B. 4 and 1
- C. 1 and 4
- D. 4 and 4
For what values of y is the expression \(\frac{6y-1}{y^2 – y-6}\) not defined?
- A. \(\frac{1}{6}, \frac{1}{4}\)
- B. 3, -2
- C. -3, 2
- D. 0,1
The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x
- A. \(\frac{2}{3}\)
- B. 2
- C. 4
- D. 8
Simplify: \(\frac{2}{3xy} – \frac{3}{4yz}\)
- A. \(\frac{2-x}{12xyz}\)
- B. \(\frac{2z-3x}{12xyz}\)
- C. \(\frac{4z-3x}{12xyz}\)
- D. \(\frac{8z-9x}{12xyz}\)
A regular polygon has 9 sides. What is the size of one of its exterior angles?
- A. 20o
- B. 40o
- C. 90o
- D. 140o
The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary
- A. 85.1%
- B. 58.5%
- C. 17.5%
- D. 14.9%
A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
- A. 35 mins
- B. 40 mins
- C. 45 mins
- D. 90 mins
P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ΞΎ = {1, 3, 7, 9, 11, 13, 15} find PI β© QI
- A. {3, 9}
- B. {5, 7, 9}
- C. {1}
- D. {1, 11}
which of the following statements describes the locus of a point R which moves in a plane such that its equidistant from two intersecting lines?
- A. the bisector of the angle formed by the lines
- B. the point of intersection of the two lines
- C. A cone, with two intersecting lines as slant height
- D. A circle, with the point of intersection of the two lines as the center
An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc
- A. 14.67cm
- B. 42.67cm
- C. 101.33cm
- D. 543.33cm
What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]
- A. 77cm2
- B. 227cm2
- C. 297cm2
- D. 374cm2
Find the mean of the numbers 1, 3, 4, 8, 8, 4 and 7
- A. 4
- B. 5
- C. 6
- D. 7
Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the value of k
- A. -4
- B. -2
- C. -1
- D. \(-\frac{1}{4}\)
A sequence is given by \(2\frac{1}{2}, 5, 7\frac{1}{2}, …..\) if the nth term is 25, find n
- A. 9
- B. 10
- C. 12
- D. 15
Solve the equation \(\frac{2y-1}{3} – \frac{3y-1}{4} = 1\)
- A. -8
- B. -13
- C. 13
- D. 19
What is the diameter of a circle of area 77cm2 [Take \(\pi = \frac{22}{7}\)]
- A. \(\frac{\sqrt{2}}{7}cm\)
- B. \(3\frac{1}{2}cm\)
- C. 7cm
- D. \(7\sqrt{2}cm\)
From a point R, 300m north of P, man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degreeee
- A. 026o
- B. 045o
- C. 210o
- D. 240o