A short sample across the ESAT papers, with worked solutions.
Mathematics 1
AAA, BBB and CCC lie on a circle with centre OOO. The line TATATA is the tangent to the circle at AAA. Angle TABTABTAB =52∘=52^\circ=52∘ and angle ABCABCABC =70∘=70^\circ=70∘. What is the size of angle BOCBOCBOC?