Effective Mathematics revision is not re-reading and not repeating what you can already do. It is finding the specific steps where you lose marks, fixing the cause, and testing the fix with a fresh question a few days later.
This page shows how to do that with a simple log. The mistake log and retest queue keeps the notes on your own device.
What should you check before you start revising?
Revision starts with scope. Confirm your code (0580 or 0607), your exam year and your route with your school or exam centre. Then open the current syllabus on the Cambridge subject page and list the topics from that document, not from an older guide or a friend’s notes.
If a topic on your list is not in your syllabus, skip it. If a topic in your syllabus is missing from your list, add it. The syllabus and exam-year navigator helps with this check.
How do you sort a mistake?
Every wrong answer belongs to one of three causes. The cause decides the fix.
| Cause | Sign | Fix |
|---|---|---|
| Knowledge | You did not know what to do | Return to the lesson, study the worked example, then try a fresh question |
| Interpretation | You answered a question that was not asked | Underline what is given and what is wanted before any working |
| Execution | Method correct, calculation wrong | Write one more line of working, check with estimation |
Many students label everything “careless”. That label hides the real cause and makes the mistake come back.
A worked example of one log entry
A student works this question: A phone costs RM 560 after a 30% discount. What was the original price?
They write 560 × 1.3 = 728 and answer RM 728.
Sort the cause. The method fits a 30% increase, not a discount. The student treated RM 560 as the original. This is an interpretation error about the base, not a careless slip.
Write the entry.
| Field | Entry |
|---|---|
| Skill | Reverse percentage |
| Cause | Interpretation: used the final price as the base |
| Repair | After a 30% discount the price is 70% of the original, so original = 560 ÷ 0.7 = RM 800 |
| Check | 70% of 800 = 560 |
| Retest on | Four days later, with a fresh question |
Fresh question for the retest: A jacket costs RM 340 after a 15% discount. Find the original price. The answer is 340 ÷ 0.85 = RM 400, and 85% of 400 = 340. Comparing the two tasks shows whether the idea transferred. If the student again multiplies, the log says to reread reversing a percentage increase.
How does a weekly revision cycle work?
A simple cycle fits most timetables.
- Practise a mixed set from topics you have already studied, from the original practice hub.
- Mark and sort every error into the three causes.
- Repair the two most frequent causes with the relevant lesson.
- Queue a fresh question for each repaired error.
- Retest after a few days. Move cleared items out, return unresolved ones to step 3.
Keep the cycle small. Two repairs a week are better than ten that you never retest. The realistic revision planner can place these blocks around your school commitments.
What about revising without a calculator?
Some questions in your course may be set without a calculator, and you should check the rules for your papers on the Cambridge page. Either way, exact working is a useful habit, because it lets you spot an impossible answer. The non-calculator working trainer gives practice in writing exact steps, and the calculator accuracy help page shows a common early-rounding trap.
When does revision need a teacher?
If you have logged the same cause for three weeks and the retests keep failing, the explanation in the lesson may not match how you think. A teacher can ask you to talk through a problem and notice where the reasoning departs from the method. That is the situation where online one-to-one Mathematics tuition adds something a worksheet cannot.
When a few slips are all that remain, self-study with a mistake log is often enough.