Skip to content
IGCSE·Tuition

Additional Mathematics · Study routes

Revise Additional Mathematics using actual gaps and current scope

Re-reading worked solutions feels like revision, but a fresh question on the same topic still stops you.

On this page
  1. Why does re-reading not work?
  2. How do you sort a mistake?
  3. Worked example: one week of a mistake log
  4. The revision mistake to watch for
  5. Self-check your log
  6. Where does this lead next?

Good Additional Mathematics revision starts with your mistakes, not with the contents page. Find the errors you actually made, group them by cause, and retest each one with a fresh question. Check the scope against the syllabus for your exam year so you do not revise something that is not assessed, or skip something that is.

This page shows how to keep a mistake log, with a filled example, and how it connects to your study route.

Why does re-reading not work?

Reading a solution you already know feels smooth because the steps are in front of you. In the exam the page is blank, and the first step is the hard part.

Revision that works copies the exam’s demand: start from a blank page, choose a method, and check the result. That is why fresh questions matter more than repeated ones.

How do you sort a mistake?

Each error usually belongs to one of three groups:

GroupWhat it looks likeExample
ArithmeticThe method is right, a calculation slips7 × 8 written as 54
InterpretationThe question is read as a different oneFinding the gradient when the question asks for the equation
Incomplete reasoningA step or condition is missingStationary point found, but never tested as maximum or minimum

The group tells you what to practise.

Arithmetic slips need checking habits. Interpretation errors need slower reading and a sketch. Incomplete reasoning needs a written checklist for that type of question.

Worked example: one week of a mistake log

A student marks a set of practice questions and logs three errors.

TaskWhat happenedGroupSkill tagRetest
Q3, discriminantUsed b² + 4acArithmeticDiscriminant signDay 2
Q5, trig equationFound two angles, missed twoIncomplete reasoningSolution count in an intervalDay 2
Q7, tangentFound gradient, not the lineInterpretationTangent equationDay 7

Step 1, check the skill tags. Two entries with different tasks but the same error keep both contexts, and a repeat shows a real pattern.

Step 2, choose the retest. For Q3, a fresh discriminant question such as “find k so that x² + kx + 16 = 0 has equal roots” needs k² − 64 = 0, so k = ±8. The student attempts it on day 2 without notes.

Step 3, record the result. If k = ±8 is found correctly, move the retest to two weeks. If it fails again, move the topic back to the prerequisite in the algebra lessons.

The mistake log and retest queue keeps this list on your own device. Nothing is sent anywhere.

The revision mistake to watch for

A common pattern is to revise only what feels comfortable. The log fills with checkmarks, and the marks do not move because the weak topics never get a session.

Correct it by letting the log choose. Each week, pick the topic that appears most often in the error column and give it the first session. Review that choice against the topic order in the study route.

Self-check your log

1. A student writes “I forgot to reject x = 6” for an optimisation question. Which group is that?

Show answer

Incomplete reasoning. The method was right, but the step that checks the answer against the context was missing.

2. A retest question is x² + kx + 25 = 0 with equal roots. What are the values of k?

Show answer

Equal roots need b² − 4ac = 0, so k² − 100 = 0 and k = ±10. Check: x² + 10x + 25 = (x + 5)², which has one repeated root.

3. Why should the retest question be new rather than the same one?

Show answer

The same question tests memory of the answer. A new question on the same skill tests whether you can start and choose a method, which is what the exam asks.

Where does this lead next?

Test the topics from your log with the original practice hub, and check the wording you meet against the terminology page. The 0606 syllabus page on this site lists what to confirm about scope.

If the log keeps showing the same type of reasoning slip, online one-to-one Additional Mathematics tuition lets a teacher watch how you start questions and help you change the habit.

Questions people ask

Is redoing past questions enough for revision?

Only if you learn from each mistake. Redoing a question you already know the answer to builds comfort, not skill. Sort each error, then attempt a fresh question on the same skill a few days later. If the fresh question works, the gap is closing.

How do I know what is in scope?

Read the topic list in the syllabus for your exam year on the Cambridge subject page. Your teacher or exam centre can confirm anything unclear. Do not rely on an older revision guide without comparing it to that list.

How often should I retest a mistake?

Pick dates you can keep, for example two days, a week and then two weeks after the error. The exact spacing matters less than actually attempting a new question each time. Write the dates in your log so the retest happens.

Should I memorise formulae?

Check your syllabus for which formulae are given in the exam and which are not. Memorise only those that are not given, and practise using them in questions rather than copying them out. Understanding where a formula comes from makes it easier to recall under pressure.

Sources

  1. Cambridge IGCSE Additional Mathematics 0606 syllabus page

Updated:

Your next step

If your mistake log shows the same kind of error week after week, a paid one-hour trial lets a teacher watch you work and name the habit behind it.

Paid one-hour trial at your assigned teacher’s confirmed rate, starting from RM80. Other fees, schedules and ongoing arrangements are confirmed directly with your teacher after the trial class.

9,000+ students helped through our service