Study skills

How to use worked solutions: the three-pass method that turns mistakes into marks

The short answer

Do not just read the solution and move on. Use three passes: (1) attempt the question again without the solution, (2) study the solution and write the one-line takeaway, (3) retry a similar question two or three days later. This turns a mistake into a method your child can use under pressure.

The worked solution is the most valuable page in any practice paper, and the most commonly misused. The usual pattern is to read it, think "oh, that makes sense", and turn the page. Unfortunately "that makes sense" is not the same as "I can do it". Here is a simple method that closes the gap.

The three-pass method

Pass 1: try again, solution closed

For every question that was wrong, guessed or slow, cover the solution and attempt it again with a fresh mind. About half the time your child will now get it right, which tells you the first error was a slip rather than a gap. Mark those as slips.

Pass 2: study the solution, then explain it

For questions still wrong, read the worked solution slowly. Then close it and explain the method out loud, or write it in your own words. If you cannot explain a step, that is the step to study. Finish by writing the takeaway line: one sentence that would help with a different question of the same type.

Pass 3: retry in two to three days

The most important pass, and the one most often skipped. After a gap, retry the same question or a close variant from memory. Retrieving something after a delay is far more effective for long-term learning than rereading it, which is why spaced practice is such a reliable study technique.

Read the "why the other options are wrong" notes

On multiple-choice papers, the wrong options are rarely random. They are the answers that students produce when they make a specific mistake: forgetting to convert units, adding instead of multiplying, picking the extreme statement. Learning to spot those traps is one of the fastest ways to lift a score, because the same traps return paper after paper.

Keep an error log

Paper and QWhy I lost the markTakeawayRetried on
P3 Q14Did not convert minutes to hoursConvert units first, then calculateThursday: correct
P3 Q22Picked the "all" statementExtreme words (all, never) are usually wrongSaturday: correct

Review the log briefly once a week. After a month it becomes a personalised revision guide, and the same types of mistake tend to fade.

Common mistakes when reviewing

  • Reviewing only the questions that were wrong. Guessed and slow questions hide gaps too.
  • Copying the solution. Copying feels like work but produces little learning. Explain it instead.
  • Never retrying. Without retrieval, most of the benefit is lost.
  • Reviewing straight after a hard paper. A short break, or the next morning, gives better focus.

For parents: your role

You do not need to know the content. Ask your child to teach you one mistake each session. "Show me one question you got wrong and tell me what you would do differently" is enough, and explaining it to you is itself a powerful form of review.

Common questions

How long should reviewing a paper take?

At least as long as sitting it. A 40-minute test deserves a 40-minute review, ideally the next day.

Should my child review every question or only the wrong ones?

All wrong ones, plus any they guessed or found slow. A correct answer reached by luck is still a gap.

What is a good takeaway line?

One sentence that starts with a verb and could apply to a new question, such as: Divide by the denominator first, then multiply by the numerator.

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