Angles, circles and Pythagoras

Free ESAT Maths 1 lesson. Worked examples, common mistakes and a self-check.

What the lesson covers

  • Angles and parallel lines
  • Polygons, triangles and quadrilaterals
  • Congruence, similarity and transformations
  • Pythagoras' theorem and distance
  • Circles: terms and first properties
  • The circle theorems, with reasons
  • Applied geometry: clocks, ladders and shadows
  • Strategy: how to chase angles
  • Self-check questions with answers (8)

Specification: M5.1-5.10. Codes follow the UAT-UK ESAT content specification.

How to use it

  1. Read a section, then cover the worked example and try it yourself.
  2. Check the common mistakes list: these are the slips the real test is built to catch.
  3. Do the self-check without looking back. Mark it against the answers.
  4. Then practise the topic under time, with the matching practice set.

Heurisco is an independent practice provider and is not affiliated with, endorsed by, or connected to UAT-UK, Pearson VUE, the UCAT Consortium, or any university.