1.
In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively.
AÔB = 132°, AĈD = 59° and AOC is a straight line.
(a) Find A TB.
(b) Find BD A.
(c) Find B D C.
(d) Find O BD.

2. The diagram below is the speed–time graph of part of a train’s journey.
The train slows down uniformly from a speed of 50 m/s to a speed of 10 m/s in a time of 20 seconds.
During the next 30 seconds, it accelerates uniformly to a speed of u m/s.
(a) Calculate the deceleration from t = 0 to t = 20.
(b) Calculate the speed of the train when t = 15.
(c) Calculate the distance travelled by the train from t = 0 to t = 20.
(d) The size of the acceleration is half the size of the deceleration. Find the value of u.


3.
The diagram above shows the three lines x = 8, x + y = 21 and 2y = 12 + x which intersect at the points A, B and C.
(a) Find the coordinates of B.
(b) The region inside triangle ABC is defined by three inequalities.
One of these is x + y < 21.
Write down the other two inequalities.
(c) Find the coordinates of the point, with integer coordinates, that is inside triangle A BC.

Source; Jamb Runs 2018