How to Read a Worked Solution So It Actually Teaches You Something

Most students check a practice question by looking at the last line of the solution. If the numbers match, they tick it and move on. That habit wastes the most useful part of a worked solution: the reasoning between the question and the answer.

Attempt first, then read with a pencil

Always attempt the question before you open the solution, even if you are unsure. Then read the solution one line at a time and ask a single question at each step: why is this step allowed? If you cannot answer in your own words, mark that line. The marked line is your learning target, whether or not your final answer was right.

What a good solution shows

• The idea or rule being used, named before it is applied.
• Any assumption or condition the method depends on.
• Units carried through, and exact values kept separate from rounded ones.
• A final line that returns to what the question asked.
• Ideally, a quick check: substituting the answer back or estimating its size.

If a solution jumps from the question straight to a number, it may still be correct, but it will not help you with the next question. Look for a fuller explanation in your class notes or the official marking guide for that paper.

Write the method down in your words

After reading, close the solution and write a two-line summary of the method. Then try a similar question cold. If the second attempt works, the method has transferred. If not, you know precisely which step to revisit.

For a fuller checklist, including a short original example of a clear solution and a weak one, see how to evaluate a worked solution on Australian Study Resources. That is a separate free site published by the same company that operates ATARMAxxing.

Where to practise this

Official past papers and their marking guidance are the best material to practise on; find yours through the past papers index. Our VCE General Maths method-checking guide shows the same habit applied to one subject, and are practice exams worth it? covers how to fit solution review into a full practice paper. If you want a second view of a written answer, you can get an answer marked and compare the feedback against the official criteria.