Circle Theorems | OCR GCSE Higher Maths | 40 Worked Examples (J560)

Forty fully worked circle-theorem questions for OCR GCSE (9-1) Mathematics Higher tier (J560), scoped precisely to spec 8.05b to 8.05h. Every question carries a clear TikZ diagram, and every solution is broken down one step at a time with a plain-English reason on each line and OCR-style mark-scheme annotations in the margin (M, A, B marks, with dep and FT where the real mark scheme uses them). Questions ramp from single-theorem drills (angle at the centre, angle in a semicircle, same segment, cyclic quadrilaterals, radius and tangent, alternate segment) through multi-step angle chases to full formal proofs of the theorems, which OCR uniquely requires (the spec says ‘apply and prove’ for every one). Built specifically for OCR: it reflects the no-formula-sheet rule, the demand that a named reason earns its own mark, and the M/A/B/SC code set (no Edexcel ‘P’ mark). The off-spec ‘power of a point’ results (intersecting chords and tangent-secant) are deliberately left out because OCR does not examine them. Ideal for revision, homework, or setting cover work. 34 pages.