Intermediate Maths Challenge-Style Geometry Drill: Angle Chasing, Polygons and Circles

20 original Intermediate Maths Challenge-style geometry questions, every one written fresh in the style, format and difficulty of the UKMT Intermediate Mathematical Challenge (Year 11 and below), with full worked solutions. This drill targets the geometry that decides IMC scores: interior and exterior angles of regular polygons and the 180(n-2) angle sum, regular polygons fitting round a point (including the 1/a + 1/b + 1/c = 1/2 tiling condition), isosceles angle chasing with equal radii and equal sides, angles where a hexagon and a pentagon share a side, circle facts, composite areas with semicircles, inscribed circles and octagons, and hidden Pythagoras problems with chords, tangents and circles sitting on a line. What’s inside: 6 Easy, 8 Standard and 6 Challenging questions, each with five options A to E and exactly one correct answer, distractors built from the slips students actually make, clear TikZ diagrams, an answer grid and IMC-style marking with penalties on the hardest questions so students practise the guess-or-skip decision. Every worked solution breaks the method into short, annotated steps, names the key insight in a ‘Why this works’ note, and flags the trap behind each wrong option in an ‘Exam tactic’ note, so students learn the competition reasoning, not just the answer. Ideal for able Year 9 to Year 11 students preparing for the Intermediate Maths Challenge, the Pink Kangaroo and the Hamilton Olympiad, for maths clubs and enrichment sessions, and for stretching strong GCSE Higher students towards grade 9. No calculator needed. Original UKMT-style practice material written by Locus Tutors; not produced by, affiliated with or endorsed by the UK Mathematics Trust.