Read Mathematical Thinking previous-year questions and available published explanations, or launch a practice test.
Use the questions to identify topics you need to revise. Try solving each question before reading its explanation, then use Practice Mode for answer feedback or Exam Mode for a timed attempt.
How to revise Mathematical Thinking
Mathematical Thinking questions reward clear reasoning as well as a final answer. This revision guide is a starting point for using the available papers; it is not the official syllabus or a promise about future exams.
Revision focus
Reasoning; proof; examples; abstraction; counterexamples
Useful prior knowledge
Algebra and familiarity with mathematical statements
Common mistakes
Using a few examples as proof of a universal claim
Use these papers effectively
Rewrite the claim with its quantifiers. Look for a boundary case before choosing a proof strategy and justify every implication. After checking a solution, solve the question again without looking and record the specific step you missed.
Revision guidance only. Check your current official course materials for the assessed syllabus.