Non-routine problems are designed to interrupt autopilot. Students who only practise near-identical exercises feel “surprised” in exams even when they know the syllabus topics.

A calm first-move sequence

  1. Underline what is given and what is asked — in the student’s own words
  2. Choose a representation: diagram, table, equation, or graph
  3. Try a smaller case or estimate before formal algebra
  4. Write a plan in one or two lines, then execute
  5. Check whether the answer is reasonable in context