In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠XYZ
- A. 50o
- B. 55o
- C. 60o
- D. 65o
In the diagram, PQRS is a rhombus and < PSQ = 35º. Calculate the size of < PRQ
- A. 65o
- B. 55o
- C. 45o
- D. 35o
In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?
- A. \(\bigtriangleup\) ZYX = \(\bigtriangleup\) OMN
- B. \(\bigtriangleup\) YZX = \(\bigtriangleup\) NOM
- C. \(\bigtriangleup\) ZXY= \(\bigtriangleup\) MON
- D. \(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM
in the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L
- A. 7K units
- B. 10K units
- C. 12K units
- D. 14k units
In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.
- A. 112cm
- B. 98cm
- C. 86cm
- D. 84cm
An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))
- A. 8800cm2
- B. 8448cm2
- C. 4400cm2
- D. 4224cm2
Given that (x + 2)(x2 – 3x + 2) + 2(x + 2)(x – 1) = (x + 2) M, find M
- A. (x + 2)2
- B. x(x + 2)
- C. xv + 2
- D. x2 - x
The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used
- A. 1: 1,000,000
- B. 1: 500,000
- C. 1: 100,000
- D. 1: 10,000
The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take \(\pi = \frac{22}{7}\))
- A. 48cm3
- B. 47cm3
- C. 38cm3
- D. 12cm3
A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume
- A. 322m3
- B. 448m3
- C. 632m2
- D. 840m2
Given that P = x2 + 4x – 2, Q = 2x – 1 and Q – p = 2, find x
- A. -2
- B. -1
- C. 1
- D. 2
An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?
- A. 15
- B. 12
- C. 9
- D. 6
Express \(\frac{2}{x + 3} – \frac{1}{x – 2}\) as a simple fraction
- A. \(\frac{x - 7}{x^2 + x - 6}\)
- B. \(\frac{x - 1}{x^2 + x - 6}\)
- C. \(\frac{x - 2}{x^2 + x - 6}\)
- D. \(\frac{x - 27}{x^2 + x - 6}\)
When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number
- A. 11
- B. \(\frac{15}{2}\)
- C. 5
- D. \(\frac{5}{2}\)
What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30o
- A. thebisector of the straight line joining P and M
- B. an arc of a circle with PM as a chord
- C. the bisector of angle PXM
- D. a circle centre X and radius PM
The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k
- A. zero
- B. -2
- C. -4
- D. -8
If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9
- A. 8
- B. 7
- C. 6
- D. 5
Find the values of k in the equation 6k2 = 5k + 6
- A. {\(\frac{-2}{3}, \frac{-3}{2}\)}
- B. {\(\frac{-2}{3}, \frac{3}{2}\)}
- C. {\(\frac{2}{3}, \frac{-3}{2}\)}
- D. {\(\frac{2}{3}, \frac{3}{2}\)}
If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q
- A. {3, 4}
- B. {3, 7}
- C. {3, 4, 5, 6, 7}
- D. {4, 5, 6}
If 2 log x (3\(\frac{3}{8}\)) = 6, find the value of x
- A. \(\frac{3}{2}\)
- B. \(\frac{4}{3}\)
- C. \(\frac{2}{3}\)
- D. \(\frac{1}{2}\)