Indices, surds and bounds

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

What the lesson covers

  • Powers from meaning: the first three laws
  • Zero, negative and fractional indices
  • Solving and simplifying with indices
  • Surds: roots that never end
  • Expanding brackets with surds
  • Rationalising the denominator
  • Rounding and error intervals
  • Calculating with bounds
  • Self-check questions with answers (8)

Specification: M2.7, M2.11-2.13. 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.

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