D = {prime numbers}

(b) Is it true that B ∩ D = Ø ?

Tick (✔) the appropriate box.

Explain your answer

11

R and T are points on a circle, centre O.

ROP is a straight line.

PT is a tangent to the circle.

Angle TPO = 46°

(a) Explain why angle OTP = 90°

15 Here is the graph of y = x² – 2x – 1

(a) Use the graph to solve the equation x² – 2x – 1 = 2

16 Chris and Sunil each take a driving test.

The probability that Chris passes the driving test is 0.9

The probability that Sunil passes the driving test is 0.65

(a) Complete the probability tree diagram.

17

The diagram shows a trapezium.

The trapezium has an area of 17 cm²

(a) Show that 2x² + 7x – 17 = 0