How to use past papers properly (most students don't)

Past papers are the single most useful revision resource most students own, and the most commonly wasted. The usual approach — work through it slowly with notes open, check the answers, feel reassured — produces almost none of the benefit. Here is a method that does.

1. Do the first attempt under real conditions

Timed. Notes away. Same calculator you will actually have. One sitting. The point of the first attempt is not to learn the content — it is to find out what happens to you under pressure, which is information you cannot get any other way. Students who only ever practise untimed are often shocked by how different the real task feels.

If you genuinely cannot finish, keep going past the time limit but mark clearly where the bell would have gone. Knowing you were 20% short is useful data.

2. Mark it honestly, against the marking scheme

Mark strictly, the way a teacher would, not the way you would like to be marked. "I knew that really" is worth zero marks in the actual assessment, so it should be worth zero here. Where a marking scheme or worked solution exists, follow it — it tells you how marks are distributed, which is often more revealing than the answers themselves.

In maths especially, look at where method marks sit. Students routinely lose marks not for wrong answers but for missing working, unlabelled diagrams, no units, or not stating a conclusion.

3. Sort every mistake into one of four types

This is the step that makes the difference, and it is the step almost everyone skips. Go through each lost mark and classify it:

• Didn't know it. A genuine content gap — you have not learned or have forgotten the concept. Fix: go back to the topic, not the question.
• Knew it, applied it wrong. You understand the idea but chose the wrong method or misread what was being asked. Fix: more varied practice on that topic, focusing on question interpretation.
• Careless. Sign errors, transcription slips, dropped terms. Fix: a checking routine, not more content revision.
• Ran out of time. Fix: question order strategy and pacing, not content at all.

The four types need four completely different responses. A student who re-reads their notes because they made careless sign errors is doing revision that cannot possibly help. Counting your mistakes by type across a few papers tells you what to actually work on.

4. Repair the topic, then retry the question

For each real content gap, go back to the topic and work through it properly — worked examples first, then questions of increasing difficulty. Then, a week or two later, come back and redo the specific questions you got wrong, cold. If you can do them without prompting, the gap is closed. If you cannot, it never was.

5. Keep an error log

One page per subject. Every recurring mistake, in your own words, with the correction. Before your next assessment, read that page instead of re-reading the whole textbook. Most students make the same handful of mistakes repeatedly, and a page of personal, specific corrections beats hours of general revision.

A note on which papers to use

Relevance matters more than volume. Because ACT assessment is set by each college, a paper from your own school and course is worth several generic ones. For many senior subjects, Tutoring Tree has real past assessments from Canberra schools, and tutors can work through relevant ones with students during sessions — including the part most students skip, which is the analysis afterwards. That is a core part of senior maths tutoring and of our Test Prep Sessions.