Which of the following angles is an exterior angle of a regular polygon?
- A. 95o
- B. 85o
- C. 78o
- D. 75o
- E. 72o
In the diagram above, the value of angles b + c is
- A. 180o
- B. 90o
- C. 45o
- D. ao
- E. do
The locus of a point which is equidistant from two given fixed points is the
- A. perpendicular bisector of the straight line joining them
- B. angle bisector of the straight lines joining the points to the origin
- C. perpendiculars to the straight line joining them
- D. parallel-line to the straight line joining them
- E. a line making an acute angle with the line joining the two points
In the diagram above, AB//CD. What is the size of the angle marked x?
- A. 103o
- B. 93o
- C. 77o
- D. 62o
- E. 52o
In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC
- A. 30o
- B. 45o
- C. 60o
- D. 75o
- E. 90o
If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?
- A. O.117
- B. 0.118
- C. 0.903
- D. O.944
- E. 0.946
In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.
- A. 136o
- B. 120o
- C. 108o
- D. 100o
- E. 96o
In the diagram above, AO is perpendicular to OB. Find x
- A. 7.5o
- B. 15o
- C. 22.5o
- D. 30o
- E. 38.6o
In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.
- A. 20o
- B. 25o
- C. 30o
- D. 35o
- E. 40o
The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector
- A. 6 3/5cm
- B. 6 4/5cm
- C. 7 1/10cm
- D. 10 2/5cm
- E. 13 3/5cm,
A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?
- A. 31/2cm
- B. 7cm
- C. 1O1/2cm
- D. 14cm
- E. 21cm
The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?
- A. 104o
- B. 100o
- C. 80o
- D. 50o
- E. 24o
The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
- A. 12cm
- B. 15cm
- C. 18cm
- D. 24cm
- E. 30cm
A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.
- A. 3cm
- B. 6cm
- C. 9cm
- D. 12cm
- E. More information is needed
Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]
- A. 37 5/7cm2
- B. 66cm2
- C. 75 3/7cm2
- D. 78 2/7cm2
- E. 88cm2
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
What is the volume of the container?
- A. 35cm3
- B. 154cm3
- C. 220cm3
- D. 528cm3
- E. 770cm3
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
- A. 35cm3
- B. 154cm3
- C. 220cm2
- D. 528cm2
- E. 770cm2
A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]
- A. 37.5litres
- B. 375 litres
- C. 3750 litres
- D. 37500 litres
- E. 375000 litres
The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.
- A. 24cm2
- B. 36cm2
- C. 48cm2
- D. 60cm2
- E. 96cm2
In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|
- A. 10cm
- B. 9cm
- C. 8cm
- D. 7cm
- E. 6cm
Use the graph of y = 3x\(^2\) + x – 7 above to answer the question
Find the roots of the equation y=3x\(^2\) + x – 7
- A. 1.0 And -1.2
- B. 1.1and-1.3
- C. 1.4and-1.7
- D. 2.0 and -1.9
- E. 2.4 and -2.0