If your methods are sound, the marks that remain are in completeness and precision. These are habits, and they can be trained with a short checklist.
This page belongs to the SPM Additional Mathematics guide. If your slips are numerical, read when a correct method still loses accuracy as well.
What does the student usually say?
“I knew how to do it, but I lost marks on the working.” Or: “My answer matched the book, yet the mark scheme shows I missed a step.”
A rough answer and a complete answer
Take this invented question: solve x² − 5x + 6 < 0.
A rough solution reads: x² − 5x + 6 < 0, so 2 < x < 3.
The final line is correct, but nothing shows how it was found. A complete solution states each move.
- Factorise: (x − 2)(x − 3) < 0.
- Critical values: x = 2 and x = 3.
- Sketch or sign test: the graph of y = x² − 5x + 6 opens upward, so the expression is negative between the roots. Test x = 2.5: (0.5)(−0.5) = −0.25, which is less than 0.
- Conclusion in the form asked: 2 < x < 3.
The complete version is four lines longer, and each line is a point a marker can credit.
What goes into a finish-line checklist?
| Check | Question to ask |
|---|---|
| Setup | Did I state the equation or inequality being solved? |
| Key step | Is the method visible, for example factorising or differentiating? |
| Special values | Did I list critical values, roots or excluded values? |
| Direction | Does the inequality sign match the test? |
| Form | Is the answer an interval, a value or an expression, as asked? |
| Check | Did I substitute back or test a value? |
What can I do myself?
- After each practice solution, run the six-point checklist and tick what is present.
- Mark your own solution against the mark scheme line by line, not just the final answer.
- Count how many lines lose a mark for completeness, and look for a repeated gap.
- Record the repeated gap in your mistake log and paper-error review.
The word-problem structure worksheet helps you set out givens before a longer solution.
When might one-to-one tuition help?
If the same completeness gap keeps returning even after a checklist, a teacher can mark your work as a marker would and tell you which line was the weak one. For a high-scoring student, the benefit is sharper feedback on small points, not new content.
Bring two recently marked solutions to the one-hour trial class (from RM50). Read about online one-to-one Additional Mathematics tuition for how the lessons work.