Step 1 — Understanding the problem
Read the question for command words (prove, show that, find, state) and what is actually being asked. Identify the topic(s) and what a full answer would look like. If the question has parts, check whether "hence" means you must use the previous part.
Step 2 — Strategy choice
Pick one clear method (e.g. induction, substitution, factorisation) and stick to it. Don’t mix approaches mid-question. If you’re stuck, look at the formula booklet or try working backwards from the required result.
Step 3 — Solving process
Show each step so an examiner can follow. State any theorems or rules you use. Avoid skipping algebraic or logical steps — method marks are awarded for clear, correct reasoning.
Step 4 — Checking the result
Substitute your answer back, check units, or verify that the result fits the question. Watch for sign errors, missing +c in integrals, and inequality direction when multiplying or dividing by negatives.