This guide is about how to write answers, not about the paper itself. The paper format, timing, marks and calculator rules are set by the examination authority, so confirm them on the official site before planning.
The authority for SPM is Lembaga Peperiksaan, at lp.moe.gov.my. The page on SPM examination information and where to verify it explains where to look.
What do the command words ask for?
| Command word | What the marker expects |
|---|---|
| State | The answer, with little or no working |
| Calculate, find | A working route to a value, with units where needed |
| Show that | Every step from the start to the given result, with no gaps |
| Hence | Use the result you have just obtained |
| Express | Rewrite in the form stated |
| Estimate | An approximate value, with the method that produced it |
| Sketch | The shape and the key features, with no need for exact plotting |
Read the word before the mathematics. “Hence” in particular tells you the method, because it asks you to use the previous part.
A worked solution with one plausible mistake
Question. Solve the equation x² = 3x.
Plausible mistake. Divide both sides by x to get x = 3. The working looks tidy and the answer is correct, but one solution has disappeared. This would lose the mark for the second solution.
Corrected working.
- Move every term to one side: x² − 3x = 0.
- Factorise: x(x − 3) = 0.
- Each factor can be zero, so x = 0 or x = 3.
Check. Substitute x = 0: 0 = 0. Substitute x = 3: 9 = 9. Both solutions work.
The lesson is that you may only divide by an expression you know is not zero. Factorising keeps every solution.
How should you show method?
Write the rule or formula, the substitution and the simplified result. If the question says “show that”, write one more line than seems necessary.
For multi-part questions, check whether a later part depends on an earlier result. If you are unsure of part (a), still use the given answer to attempt part (b).
How should you use your time?
Time allowed and marks differ between papers, so use the official information to plan.
- Attempt the parts you can do first, and mark the others to return to.
- Keep a short list of checks for the end, such as signs, units and rounding.
- Practise timed sets on original questions, then review where the time went with the timed original practice session builder.
Why should you avoid predicted-question claims?
No one outside the examination authority knows the questions, so claims of predicted or spot questions are unreliable. Why predicted-question claims are unreliable preparation gives the reasoning.
Use the revision plan and the glossary of question words and terms to cover every topic instead.
Where does tuition fit?
A one-to-one teacher can read your written answers, show which lines earn method marks and help you practise the command words on new questions. See online one-to-one Mathematics tuition, and the SPM Mathematics guide for the free topic lessons.