FORM 5 MATHEMATICS
CIRCLE GEOMETRY WORKSHEET – CSEC PAST PAPER QUESTIONS
1. In the diagram, below, E, C, G and F are points on the circumference of a circle and EG is a
diameter of the circle. The tangent AEB is parallel to CD. Angle AEC = 68⁰ and angle EFD =
106⁰.
Determine the value of EACH of the following angles. Show detailed working where
necessary and give a reason to support your answer.
(i)
ECD
(2 marks)
(ii)
CEG
(2 marks)
(iii)
CGF
(2 marks)
[CSEC July 2021]
2.
(1 mark)
(ii) Determine the value of EACH of the following angles. Show detailed working
where necessary and give a reason to support your answer.
(a) Angle BAC
(2 marks)
(b) Angle q
(2 marks)
(iii) Calculate the value of angle r.
(1 mark)
[CSEC January 2021]
3.
(2 marks)
(ii) Determine the value of EACH of the following angles. Show detailed working
where necessary and give a reason to support your answer.
(c) x
(2 marks)
(d) y
(2 marks)
[CSEC January 2020]
4. The diagram below shows a circle where AC is a diameter. B and D are two other points
on the circle and DCE is a straight line. Angle CAB = 28⁰ and angle DBC = 46⁰.
Calculate the value of EACH of the following angles. Show detailed working where
necessary and give a reason to support your answers.
(i)
DBA
(2 marks)
(ii)
DAC
(2 marks)
(iii)
BCE
(2 marks)
[CSEC June 2019]
5.
(2 marks)
(ii) Angle TPQ
(2 marks)
(iii) Obtuse angle POR, where O is the centre of the circle
(2 marks)
[CSEC January 2019]
6.
(i)
Angle A𝐵̂C
(2 marks)
(ii)
̂B
Angle C𝑀
(2 marks)
(iii)
Angle N𝐶̂ M
(2 marks)
[CSEC June 2018]
7.
(i)
(ii)
(iii)
(iv)
A𝐶̂ D
A𝐸̂ D
O𝐴̂C
A𝐵̂C
[CSEC January 2018]