The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30o. If TU = 54m, how high is T above the horizontal ground?
- A. 108m
- B. 72m
- C. 46.3m
- D. 31.2m
- E. 27m
A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord
- A. 16cm
- B. 18cm
- C. 24cm
- D. 25.51cm
- E. 51.1cm
Which of the following is not necessarily true of a rectangle?
- A. The diagonals are equal
- B. The diagonals bisect each other
- C. The diagonals are perpendicular
- D. Each diagonal divides the area of the rectangle equally
- E. Each diagonal divides the rectangle into two congruent triangles
If two triangles are similar, which of the following is true? Their
- A. corresponding sides are equal
- B. corresponding angles are equal
- C. corresponding altitudes are equal
- D. areas are equal
- E. perimeters are equal
Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.
- A. 104
- B. 103
- C. 102
- D. 101
- E. 10-1
TR is the tangent to the circle PQR with centre O. Find the size of โ PRT
- A. 44o
- B. 46o
- C. 60o
- D. 74o
- E. 118o
O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, โ PQT = 42o and โ QTR = 64o; Find โ QRT
- A. 68o
- B. 64o
- C. 42o
- D. 32o
- E. 22o.
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t – 1}\)
- A. -4
- B. -2
- C. 11/3
- D. 2
- E. 4
Find the common ratio in the GP: log 3, log 9, log 81 ……….
- A. 1
- B. 2
- C. 3
- D. 6
- E. 9
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
- A. 19/10
- B. 21/5
- C. 23/11
- D. 21/2
- E. 24/5
Solve the inequality 3x – 8 โฅ 5x
- A. x โค 4
- B. x โฅ 1
- C. x โค -4
- D. x โค -1
- E. x < 2
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
- A. 85o
- B. 95o
- C. 105o
- D. 115o
- E. 125o
From the diagram above, which of the following is true?
- A. a +b + x =180
- B. a = b + x
- C. a โ b = 180 - x
- D. a + b = x + 180
- E. a โ b = x - 180.
PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?
- A. ฮ PGS = ฮ QHR
- B. Parallelogram PQRS = ฮ QHR
- C. Trapezium PQXS = ฮ QHR
- D. ฮ PGS = Parallelogram GHRS
- E. Parallelogram PQRS = Parallelogram GHRS
Which of the following statements is/are true when two straight lines intersect?
I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary
- A. II only
- B. I and III only
- C. II and III only
- D. I, II and III
- E. I and II
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
- A. 2cm
- B. 3cm
- C. 4cm
- D. 5cm
- E. 6cm
Which of the following is not necessarily sufficient for the construction of a triangle?
- A. Three sides
- B. Two sides and an included angle
- C. Two sides and a right angle
- D. Two sides and an angle
- E. Two angles and a side.
The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate ฮธ correct to the nearest degree.
- A. 34o
- B. 35o
- C. 36o
- D. 37o
- E. 40o
Find the radius of a circle in which an arc of length 44cm subtends angle 200ยฐ at the centre of the circle. [Take ฯ = 22/7]
- A. 3.9cm
- B. 12.6cm
- C. 25.2cm
- D. 38.4cm
- E. 124.5cm
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
- A. 48cm3
- B. 6Ocm3
- C. 96cm3
- D. 120cm3
- E. 24Ocm3