Four doctors and two nurses are to sit round a circular table. In how many ways can this be done if the nurses are to sit together?

• A. 48
• B. 60
• C. 240
• D. 720

Find the equation of a line which is form origin and passes through the point (−3, −4)

• A. y = 3x/4
• B. y = 4x/3
• C. y = 2x/3
• D. y = x/2

A car travelling at a velocity of 50kmh\(^{-1}\), covers a distance of 20km. If it was accelerating at 6kmh\(^{-1}\), calculate, correct to one decimal place, the time the car took to cover the distance.

Find ∫(sin x + 2)dx

• A. cos x + x² + K
• B. cos x 2x + K
• C. -cos x + x² + K
• D. -cos x + 2x + K

(a) The angle of depression of a point P on the ground from the top T of a building is 23.6°. If the distance from P to the foot of the building is 50m, calculate, correct to the nearest metre, the height if the building.

(b)

In the diagram, \(PT // SU, QS // TR, /SR/ = 6cm\) and \(/RU/ = 10 cm\). If the area of \(\Delta TRU = 45 cm^{2}\), calculate the area of the trapezium QTUS.

Fati buys milk at Nx per tin sells each at a profit of Ny. If she sells 10 tins of milk, how much does she receives from the sales?

• A. N(xy + 10)
• B. N(x + 10y)
• C. N(10x + y)
• D. N10(x + y)

In the diagram, O is the center of the circle and the reflex angle ROS is 264°. Find ∠RTS

• A. 48
• B. 53
• C. 66
• D. 132

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

• A. 2.3cm
• B. 4.6cm
• C. 8cm
• D. 16cm

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

What is Arabic figure of Roman figure ID?

• (a) 499
• (b) 299
• (c) 401
• (d) 489