Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.
- A. 23.00
- B. 17.29
- C. 16.50
- D. 16.33
Solve the equation 10-3x-x2 = 0
- A. x=2 or-5
- B. x= -2 or 5
- C. x = 1 or 10
- D. x = 2 or 5
Each interior angle of a regular polygon is 108°. How many sides has it?
- A. 5
- B. 7
- C. 9
- D. 14
Find the next two terms of the sequence
1, 5, 14, 30, 55, …
- A. 61,110
- B. 67,116
- C. 81,140
- D. 91, 140
lf \(log_q p= r\), express p in terms of q and r
- A. p =qr
- B. p =rq
- C. \(p = \frac{r}{q}\)
- D. p=qr
If \(\frac{x}{a+1}+\frac{y}{b}\) 1. Make y the subject of the relation
- A. \(\frac{b(a-x+1)}{a+1}\)
- B. \(\frac{a+1}{b(a-x+1)}\)
- C. \(\frac{a(b-x+1)}{b+1}\)
- D. \(\frac{b}{a(b-x+1)}\)
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
- A. 1920cm2
- B. 592cm2
- C. 296cm2
- D. 148cm2
If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.
- A. -2
- B. \(-\frac{1}{2}\).
- C. \(\frac{1}{2}\)
- D. 2
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
- A. 35o
- B. 70o
- C. 100o
- D. 125o
Given that x + y = 7 and 3x-y = 5, evaluate \(\frac{y}{2}-3\).
- A. -1
- B. 1
- C. 3
- D. 4
Find the area of a rectangle of length 4cm and whose diagonal is 8cm, (Leave your answer in surd form)
- A. 8√3cm2
- B. 12√3cm2
- C. 16√2cm2
- D. 16√3cm2
The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30o. Calculate the height of the tower.
- A. 62.35m
- B. 20.78m
- C. 18.00m
- D. 10.39m
Simplify \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}\)and correct your answer to the nearest whole number
- A. 33
- B. 8
- C. 7
- D. 0
There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?
- A. \(\frac{m}{12}\)
- B. \(\frac{12}{m}\)
- C. \(\frac{12}{m+12}\)
- D. \(\frac{12}{m-12}\)
In the diagram, \(R\hat{P}Q = Q\hat{R}Y, \hspace{1mm} P\hat{Q}R = R\hat{Y}Q, \\ \hspace{1mm}|QP| = 3cm \hspace{1mm}|QY| = 4cm \hspace{1mm}and \hspace{1mm}|RY | = 5cm. \hspace{1mm} Find \hspace{1mm}|QR|\)
- A. 2.0cm
- B. 2.5cm
- C. 6.4cm
- D. 10.0cm
A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
- A. \(\frac{5}{6}\)
- B. \(\frac{7}{12}\)
- C. \(\frac{5}{12}\)
- D. \(\frac{1}{6}\)
Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,
- A. \(\frac{9}{13}\)
- B. \(\frac{9}{5}\)
- C. 5
- D. \(9\frac{3}{5}\)
Given that sin (5x – 28)o = cos (3x – 50)o,0 < x < 90o, find the value of x
- A. 14o
- B. 21o
- C. 32o
- D. 39o
If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two
- A. 1110
- B. 10111
- C. 11101
- D. 111100
1. Evaluate \( 202^2_{three} – 112^2_{three}\)
- A. 21120
- B. 21121
- C. 21112
- D. 21011