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HKDSE M2 Drill Guide: Splitting 150 Minutes and Writing Proof Structure
Fifty marks in each half; bank the method marks first
Module 2 runs 150 minutes, roughly 60 to 70 for Section A and 70 to 80 for Section B, fifty marks each. Marks sit in three places: definition, working, conclusion. Induction and proof questions need the four steps written out, and integration by parts needs u, dv, du and v on paper before substitution. Finishing Section A on time is what pays for Section B; leave any question that stalls past five minutes.
How is HKDSE Mathematics Extended Part Module 2 assessed, and what does each part carry?
Section A (short questions): 8-12 short questions worth 50 marks (50 marks); Section B (long questions): 3-5 long questions worth 50 marks (50 marks); In the exam room: Trigonometric formulas are provided; calculators are allowed (—)
Assessment at a glance (2027)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section A (short questions) | 8-12 short questions worth 50 marks | 50 | 60-70 min |
| Section B (long questions) | 3-5 long questions worth 50 marks | 50 | 70-80 min |
| In the exam room | Trigonometric formulas are provided; calculators are allowed | — | — |
Two and a half hours: about 60-70 minutes for Section A and 70-80 for Section B. M2 marks follow definition, computation, conclusion – proofs and induction must show the structure (base, assumption, step, conclusion), or the method marks are gone.
What each paper is actually testing
| Paper | Drill focus | How marks are lost |
|---|---|---|
| Section A (short questions) | Complex numbers, matrices and vectors must be exact | Section A overruns and Section B gets under an hour. |
| Section B (long questions) | Show every step in proofs; write the substitution out in integrals | The proof question gets the conclusion only, and every method mark is lost. |
| In the exam room | Induction needs all four steps | The integration answer skips the four parts and the substitution of limits. |
What is each HKDSE Mathematics Extended Part Module 2 paper really testing, and what should you drill?
Section A (short questions): Complex numbers, matrices and vectors must be exact; Section B (long questions): Show every step in proofs; write the substitution out in integrals; In the exam room: Induction needs all four steps
Drill order: by topic, then by year, then the mark scheme
| Step | What you do | Why |
|---|---|---|
| 1. By topic | Work through each topic, starting with the paper that allows least help (no calculator / closed book) | Exposes what is genuinely not understood |
| 2. By year | Whole papers to time, one or two a week | Trains pace, stamina and question selection |
| 3. Mark scheme | Go through the marking scheme question by question and log the scoring steps you missed | Most lost marks are written wrong, not thought wrong |
Should drilling go by topic first or by year?
By topic first, then whole papers by year, then the mark scheme. The first third of the time goes topic by topic (8-10 years of the same topic back to back), the middle switches to timed whole papers, and the last fortnight only redoes the recurring errors from your log.
A 12-week drilling timetable
| Week | Phase | What to do |
|---|---|---|
| Weeks 1-3 | By topic: foundation | Topic by topic, starting with the easiest marks, building habits and recall |
| Weeks 4-6 | By topic: core | 8-10 years of the same topic back to back, errors classified by topic |
| Weeks 7-8 | By topic: advanced and electives | Elective and higher-order topics, now under time pressure |
| Weeks 9-10 | By year: timed papers | One full paper a week, timed, no reference materials |
| Week 11 | Mark scheme work | Question by question against the marking scheme; list the scoring steps you omitted |
| Week 12 | Plug holes and simulate | Only the recurring errors from your log, then one full exam simulation |
Subject-specific weighting for this timetable: Weeks 1-3: Section A only, sixty-five minutes, writing the definition and the given data before any calculation. Weeks 4-6: Section B only, with the four proof steps written every time and the four integration parts listed before the arithmetic. Weeks 7-9: three full papers at 150 minutes, logging how many questions were skipped and how long the return pass cost. Weeks 10-12: unseen questions only, aiming to close Section A inside sixty-five minutes and keep ten minutes to check substitution and units in Section B.
Use it properly: this is not a checklist to finish. Every week must keep time for redoing errors, or from week 9 you will be repeating the same batch.
Pacing
| Paper | Time | Suggested split |
|---|---|---|
| Section A (short questions) | 60-70 min | about 60-70 min |
| Section B (long questions) | 70-80 min | about 70-80 min |
| In the exam room | — | Write the defining formula first on matrices and vectors |
How should the time be split inside each HKDSE Mathematics Extended Part Module 2 paper?
Section A (short questions): about 60-70 min; Section B (long questions): about 70-80 min; In the exam room: Write the defining formula first on matrices and vectors
The drilling mistakes that cost the most marks
| Mistake | What it looks like | What actually happens | Instead |
|---|---|---|---|
| Integration without substitution | The final answer only | Integration by parts needs u, dv, du and v written out | List the four, then uv − ∫v du, then substitute the limits |
| Matrix order | Mixing A×B and B×A | Matrix multiplication is not commutative, so the order decides the answer | Write the row-by-column computation explicitly |
| Log equations without domain checks | Keeping a negative root | Logarithms require a positive argument | Test every root against the domain |
| Skipping proof steps | The conclusion only | Proofs and induction are marked per step | Base, assumption, induction step, conclusion |
The error log and the mark scheme
Three columns: the question number and its section; whether the loss was definition, working or conclusion, such as the four parts left unwritten, a swapped matrix order, or a logarithm root accepted without checking the domain; the repair, naming the step to redo. Three losses of the same kind makes it the first item of next week.
How many years should you drill?
The two-section shape and the fifty-fifty split have been stable, so five years covers the question types; course trimming and marking requirements are adjusted from time to time, so old papers are practice only and the current syllabus should be checked.
How many years of past papers is enough?
The two-section shape and the fifty-fifty split have been stable, so five years covers the question types; course trimming and marking requirements are adjusted from time to time, so old papers are practice only and the current syllabus should be checked.
Frequently asked questions
Is this page a mock paper or a drilling guide?
This is the HKDSE Mathematics Extended Part Module 2 drilling guide: assessment structure, drill order, a 12-week timetable, pacing, common mark losses and the error-log method. For questions with answers, use the HKDSE Mathematics Extended Part Module 2 mock papers linked under Related.
By topic or by year first?
By topic. Eight to ten years of the same topic back to back is what exposes repeating errors; going straight to whole papers just repeats the same batch under time pressure.
How should the error log be written?
Do not copy out questions. Per error record four things: question reference, which step failed (concept, wording, calculation), what the mark scheme requires, and the correct action next time.
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Official references
| Resource | What to use it for |
|---|---|
| HKEAA 2027 HKDSE Mathematics Assessment Framework (with Extended Part) | Confirm M2’s single paper at 100% over 2 h 30 min with 50 + 50 marks |
| https://www.tutorzone.com.hk/en-dse-m2-paper-drill-guide/ | M2 drilling guide |
Related: practice area · M2 drilling guide · M1 mock
Next step: find a tutor / register as a tutor
After drilling, the hard part is telling a conceptual error from a writing error. Tell us the year group, the school and your available times, and TutorZone will match you with a tutor who knows the HKEAA assessment requirements.
Demand for tutors in this subject is steady, and those who can explain the marking scheme and where marks are won are especially sought after. Register free; you pay only when a match succeeds.