The solution of x + 2 \(\geq\) 2x + 1 is illustrated
- A. i
- B. ii
- C. iii
- D. iv
In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded
- A. 25cm\(^2\)
- B. 24cm\(^2\)
- C. 16cm\(^2\)
- D. 12cm\(^2\)
In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).
- A. 110\(^o\)
- B. 135\(^o\)
- C. 165\(^o\)
- D. 225\(^o\)
In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?
- A. Trapezium
- B. Prism
- C. Rectangle
- D. Rhombus
In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of <QST
- A. 40\(^o\)
- B. 65\(^o\)
- C. 85\(^o\)
- D. 95\(^o\)
Find the value of t in the diagram
- A. 63\(^o\)
- B. 117\(^o\)
- C. 126\(^o\)
- D. 234\(^o\)
Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45
- A. 8
- B. 9
- C. 10
- D. 12
Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2
- A. 0.0
- B. 0.5
- C. 1.0
- D. 1.5
If P and Q are two statements, under what condition would p|q be false?
- A. If p is true and q is true
- B. If p is true and q is false
- C. If p is false and q is false
- D. If p is false and q is true
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
- A. \(\frac{|PN|}{|PR|}\)
- B. \(\frac{|PM|}{|PQ|}\)
- C. \(\frac{|PM|}{|PR|}\)
- D. \(\frac{|PR|}{|PQ|}\)
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.
- A. 27m
- B. 13.5 \(\sqrt{3m}\)
- C. 13.5 \(\sqrt{2m}\)
- D. 9\(\sqrt{3m}\)
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
- A. \(\frac{153}{250}\)
- B. \(\frac{68}{111}\)
- C. \(\frac{61}{100}\)
- D. \(\frac{21}{33}\)
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
- A. 2:3
- B. 3:4
- C. 3:8
- D. 1:2
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
- A. 6
- B. 7
- C. 8
- D. 9
Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12…
- A. 2\(^n\) x 3(n + 1)
- B. 2\(^n\) x 3n
- C. 2\(^n\) x 3\(^n\)
- D. 2\(^n\) x 3\(^n - 1\)
Factorise completely the expression
\((x + 2)^2\) – \((2x + 1)^2\)
- A. (3x + 2)(1 - x)
- B. (3x + 2)(2x + 1)
- C. 3\((x + 2)^2\)
- D. 3(x + 1)(1 - x)
Solved the equation \(2x^2 – x – 6\) = 0
- A. x = \(\frac{-3}{2}\) or 2
- B. x = -2 or \(\frac{3}{2}\)
- C. x = -3 or 2
- D. x = 3 or -2
Find the value of x for which \(\frac{x – 5}{x(x – 1)}\) is undefined.
- A. 0 or 5
- B. -5 or 5
- C. -11 or 5
- D. 0 or 1
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
- A. 5.0 cm
- B. 7.0 cm
- C. 8.5 cm
- D. 12.0 cm
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.
- A. \(\frac{3}{25}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{6}{25}\)
- D. \(\frac{2}{5}\)