Paper 2 Higher - Sample Assessment Q11 Answers
S and T are points on the circumference of a circle, centre O.
PT is a tangent to the circle.
SOP is a straight line.
Angle OPT = 32°
Work out the size of the angle marked x.
You must give a reason for each stage of your working.
(4 marks)
PT is a tangent to the circle.
SOP is a straight line.
Angle OPT = 32°
Work out the size of the angle marked x.
You must give a reason for each stage of your working.
(4 marks)
Answers
Question |
Answer |
Notes |
11 |
29° |
C1 - angle OTP = 90°, quoted or shown on the diagram M1 - method that leads to 180 – ( 90 + 32) or 58 shown at TOP OR that leads to 122 shown at SOTM1 - complete method leading to “58”÷2 or (180 – “122”) ÷ 2 or 29 shown at TSP C1 - for angle of 29° clearly indicated and appropriate reasons linked to method eg angle between radius and tangent = 90° and sum of angles in a triangle = 180°; ext angle of a triangle equal to sum of int opp angles and base angles of an isos triangle are equal or angle at centre = 2x angle at circumference or ext angle of a triangle equal to sum of int opp angles |