In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35°. Find ∠QPR
- A. 70o
- B. 50o
- C. 45o
- D. 40o
- E. 35o
Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\)
- A. \(22cm^2\)
- B. \(44cm^2\)
- C. \(66cm^2\)
- D. \(132cm^2\)
- E. \(198cm^2\)
The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x
- A. \(y=\frac{x}{2}\)
- B. \(y\frac{x}{\sqrt{2}}\)
- C. \(y=\sqrt{x}\)
- D. \(y=\sqrt{\frac{x}{2}}\)
Find the angle x in the diagram above
- A. 310o
- B. 230o
- C. 190o
- D. 130o
- E. 100o
Find the value of x in the diagram above
- A. 8.0cm
- B. 6.8cm
- C. 6.6cm
- D. 6.5cm
- E. 5.6cm
In \(\triangle PQR\). T is a point on QR such that \(\angle QPT = 39^o and \angle PTR = 83^o. Calculate \angle PQT\)
- A. \(34^o\)
- B. \(44^o\)
- C. \(45^o\)
- D. \(97^o\)
- E. \(107^o\)
The diagram above is a rectangle. If the perimeter is 36m, find the area of the rectangle
- A. \(64m^2\)
- B. \(65m^2\)
- C. \(84m^2\)
- D. \(124m^2\)
- E. \(275m^2\)
The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of tghe students travelled to school on foot?
- A. 24%
- B. 23%
- C. 20%
- D. 15%
- E. 14%
The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
If a hundred students travelled by bus, find the total number of students in the school
- A. 300
- B. 400
- C. 500
- D. 600
- E. 750
The length of an arc of a circle of radius 5cm is 4cm. Find the area of the sector
- A. \(1\frac{3}{5}cm^2\)
- B. 2cm2
- C. 8cm2
- D. 10cm2
- E. 20cm2
Calculate the perimeter of the trapezium PQRS
- A. 24cm
- B. 36cm
- C. 48cm
- D. 72cm
- E. 520cm
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ
- A. 3.403cm2
- B. 5.350cm2
- C. 10.99cm2
- D. 157.1cm2
- E. 175.0cm2
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.
- A. 175.0cm
- B. 157.1cm
- C. 37.7cm
- D. 11.0cm
- E. 3.1cm
In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ
- A. 58.5o
- B. 44o
- C. 35o
- D. 31.5o
- E. 27o
If the exterior angles of quadrilateral are yo, (y + 5)o, (y + 10)o and (y + 25)o, find y
- A. 10o
- B. 20o
- C. 40o
- D. 60o
- E. 80o
In the diagram, O is the center of the circle and the reflex angle ROS is 264o. Find ∠RTS
- A. 48o
- B. 53o
- C. 66o
- D. 132o
- E. 192o
Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35o,find ∠PQS
- A. 35o
- B. 45o
- C. 55o
- D. 70o
- E. 90o
A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord
- A. 16cm
- B. 27.86cm
- C. 32cm
- D. 48cm
- E. 55.72cm
A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?
- A. \(\frac{5\sqrt{2}}{3}m\)
- B. \(2\frac{1}{2}m\)
- C. \(\frac{5\sqrt{3}}{2}m\)
- D. \(\frac{10\sqrt{3}}{3}m\)
- E. \(10\sqrt{3}m\)
Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\)
- A. 141.3o
- B. 128.7o
- C. 51.3o
- D. 48.7o
- E. 38.7o
In \(sin(X+30)^o=cos40^o\),find X
- A. 10o
- B. 20o
- C. 50o
- D. 60o
- E. 90o