In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm2, find the area of the quadrilateral MPQN
- A. 3cm2
- B. 6cm2
- C. 14cm2
- D. 24cm2
A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)
- A. 47cm
- B. 61cm
- C. 88cm
- D. 231cm
A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle? Take \(\pi =\frac{22}{7}\)
- A. 16cm
- B. 17cm
- C. 18cm
- D. 20cm
In the diagram, PQ is a diameter of the circle and ∠PRS = 58°. Find ∠STQ.
- A. 29o
- B. 32o
- C. 42o
- D. 53o
PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR
- A. 51o
- B. 64o
- C. 77o
- D. 103o
In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?
- A. 75o
- B. 80o
- C. 85o
- D. 95o
Which of the following is not the the size of an exterior angle of a regular polygon?
- A. 15o
- B. 18o
- C. 20o
- D. 21o
What is the mode?
- A. 22.5 years
- B. 23.0 years
- C. 24.0 years
- D. 27.5 years
What is the range of their age?
- A. 14 years
- B. 20 years
- C. 30.5 years
- D. 31 years
If the probability that an event will occur is p and the probability that it will not occur is q, which of the following is true?
- A. p-q=1
- B. q-p=0
- C. p+q=1
- D. p+q=0
A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that one is green and the other is blue?
- A. \(\frac{2}{11}\)
- B. \(\frac{5}{12}\)
- C. \(\frac{8}{12}\)
- D. \(\frac{7}{11}\)
A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that the two balls are red?
- A. \(\frac{5}{33}\)
- B. \(\frac{5}{36}\)
- C. \(\frac{103}{132}\)
- D. \(\frac{31}{36}\)
Express 25° 45′ in decimal (Hint: 1° = 60′)
- A. 25.75o
- B. 25.55o
- C. 25.45o
- D. 25.15o
Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|
- A. 5.0km
- B. 7.5km
- C. 7.6km
- D. 8.7km
Given that sin \(P = \frac{5}{13}\), where p is acute, find the value of cos p – tan p
- A. \(\frac{79}{156}\)
- B. \(\frac{85}{156}\)
- C. \(\frac{7}{13}\)
- D. \(\frac{8}{1}\)
If 2x : (x +1) = 3:2, what is the value of x?
- A. \(\frac{1}{2}\)
- B. 1
- C. \(1\frac{1}{2}\)
- D. 3
If \(y \propto \frac{1}{\sqrt{x}}\) and x = 16 when y = 2, find x when y = 24
- A. \(\frac{1}{9}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{2}{3}\)
Subtract (-y + 3x + 5z) from (4y – x – 2z)
- A. 5y - 4x - 7z
- B. 3y + 2x + 3z
- C. -5y + 4x + 7z
- D. 2x - 5y + 3z
The graph of the curve \(y = 2x^2 – 5x – 1\) and a straight line PQ were drawn to solve the equation \(2x^2 – 5x + 2 = 0\)
What is the equation of the straight line PQ?
- A. y = -1
- B. y = 1
- C. y = 3
- D. y = -3