The data above shows the frequency distribution
of marks scored by a group of students in a class
test.
How many students took the test?
- A. 13
- B. 14
- C. 15
- D. 18
- E. 20
Find the median of the following set of scores:
65, 72, 55, 48, 78
- A. 55
- B. 60
- C. 63.5
- D. 65
- E. 72
Points X and Y are respectively 12m North and 5m east of point Z. Calculate XY
- A. 7m
- B. 12m
- C. 13m
- D. 17m
- E. 18m
A cliff on the bank of a river is 300 metres
high. if the angle of depression of a point on the
opposite side of the river is 60° find the width of
the river.
- A. 100m
- B. 75√3m
- C. 100√3m
- D. 200√3m
- E. 300m
A ladder leans against a vertical wall at an angle
60° to the wall, if the foot of the ladder is 5 metres
away from the wall, calculate the length of the
ladder.
- A. \(\frac{5\sqrt3}{3}\)m
- B. 5m
- C. \(\frac{10\sqrt3}{3}\)m
- D. 5√3m
- E. 10m
Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?
- A. 30km
- B. 42km
- C. 45km
- D. 60km
- E. 120km
The value of sin 210° is
- A. \(-\frac{1}{2}\)
- B. \(-\frac{\sqrt{3}}{2}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{\sqrt{2}}{2}\)
- E. \(\frac{\sqrt{3}}{2}\)
If cos θ = 5/13, what is the value of tan \(\theta\) for 0 < θ < 90° ?
- A. 13
- B. 5
- C. 13/5
- D. 12/5
- E. 5/12
Sin 60° has the same value as I. Sin 120° II. cos 240° III. -sin 150° IV. cos 210° V. sin 240°
- A. I only
- B. II only
- C. IV only
- D. III only
- E. IV and V only
In the diagram above, PQT is an isosceles triangle.|PQ| = |QT|, ∠SRQ = 75°, ∠QPT = 25° and PQR is straight line. Find ∠RST
- A. 20o
- B. 50o
- C. 55o
- D. 70o
- E. 75o
A regular polygon has each of its exterior angles as 18o. How many sides has the polygon
- A. 10
- B. 11
- C. 12
- D. 20
- E. 24
Find the value of t in the diagram above
- A. 5.6cm
- B. 6.5cm
- C. 6.6cm
- D. 6.8cm
- E. 7.0cm
The angles marked in the diagram above are measured in degrees. Find x
- A. 15o
- B. 24o
- C. 30o
- D. 36o
- E. 48o
In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR
- A. 15o
- B. 25o
- C. 35o
- D. 40o
- E. 55o
In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ
- A. 37o
- B. 53o
- C. 65o
- D. 127o
- E. 147o
In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS
- A. 36o
- B. 72o
- C. 108o
- D. 144o
- E. 288o
In the diagram above, TR = TS and ∠TRS = 60o. Find the value of x
- A. 30
- B. 45
- C. 60
- D. 120
- E. 150
In the diagram above, O is the center of the circle and ∠POR = 126°. Find ∠PQR
- A. 234o
- B. 117o
- C. 72o
- D. 63o
- E. 54o
In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QSR
- A. 48o
- B. 45o
- C. 37o
- D. 32o
- E. 30o
The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take π = 22/7]
- A. 5/12cm2
- B. 7/12cm2
- C. 11/6cm2
- D. 2 1/3cm2
- E. 6 1/6cm2