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HKDSE Mathematics M1 Past Paper Drilling Guide: One Paper, 100% of the Grade
TUTORZONE EXAM DRILL GUIDE · HKDSE MATHEMATICS M1
HKDSE Mathematics M1 is a subject of its own: one paper, 100% of the grade, 2 hours 30 minutes. Calculus and Statistics: Section A 50 marks (8-12 elementary short questions), Section B 50 marks (3-5 long questions), all compulsory. With a single paper deciding everything, pacing and presentation matter more than ever.
How is HKDSE Mathematics Extended M1 assessed?
Direct answer: M1 is a separate subject assessed by one paper worth 100%, lasting 2 hours 30 minutes. The paper has two sections: Section A 50 marks (8-12 elementary short questions) and Section B 50 marks (3-5 long questions), all compulsory, with no SBA. Calculus and Statistics: Section A 50 marks (8-12 elementary short questions), Section B 50 marks (3-5 long questions), all compulsory.
Assessment at a glance (2027)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section A (short questions) | 50 marks, 8-12 elementary short questions, all compulsory | 50 分 | about 70 min (suggested) |
| Section B (long questions) | 50 marks, 3-5 long questions, all compulsory | 50 分 | about 70 min (suggested) |
One paper, 150 minutes, 100 marks – about 1.5 minutes a mark. Two rules: be fast and exact in Section A (bank the time for Section B), and plan before calculating in Section B (so you do not switch methods half-way).
What each paper is actually testing
| Paper | Drill focus | How marks are lost |
|---|---|---|
| Section A (short questions) | Drill calculus and statistics separately: calculus rewards fluency, statistics rewards recognising the question type and the steps of a test | Unfamiliar techniques eating later time; skipped steps losing method marks |
| Section B (long questions) | Plan the route first in long questions: given, required, method – then calculate | Discovering mid-way that the method fails; conclusions that do not answer the question |
Where should M1 drilling start?
Direct answer: Section A first, drilled until it is automatic. All 50 of its marks rest on basic technique (Drill calculus and statistics separately: calculus rewards fluency, statistics rewards recognising the question type and the steps of a test); if Section A takes more than 80 minutes, Section B cannot be finished. Once Section A is fluent, move to the long questions and plan each route before calculating.
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 |
Does M1 have an SBA?
Direct answer: No. Neither the Compulsory Part nor the Extended modules have a school-based assessment, so 100% of this subject is the single paper.
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: Drill by technique in blocks (8-10 years of the same technique back to back) and switch to full timed papers only in the last three weeks. Week 11 should fix skipped steps and incomplete working.
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) | 約 70 分鐘（建議） | About 70 min; 6-8 min per question |
| Section B (long questions) | 約 70 分鐘（建議） | About 70 min; 10 min checking |
How should working be written in M1?
Direct answer: every decisive step must appear: define the unknown, set up the expression, name the theorem or formula used, show intermediate results, then give the answer. An answer alone forfeits method marks, while complete working with an arithmetic slip usually keeps most of them. In long questions, say why the method applies.
The drilling mistakes that cost the most marks
| Mistake | What it looks like | What actually happens | Instead |
|---|---|---|---|
| Taking Section A slowly | Treating the short questions as easy | Section B runs out of time and two questions stay blank | Cap Section A at 70 minutes and drill it to reflex |
| Thinking while writing in long questions | Choosing a method two or three lines in | Switching methods mid-answer, losing time and marks | Spend one or two minutes writing the route first |
| Answers without working | Stopping when the number is right | Method marks lost, dropping a grade | Write every step, including the theorem and its condition |
The error log and the mark scheme
The Extended module log is best kept as a technique list: one page per technique (integration by parts, matrix multiplication, induction) with the common question forms, the steps that must appear, and the step you previously omitted.
How many years should you drill?
Ten years covers nearly every technique; sit the latest five fully timed and regroup earlier years by technique.
How many years of M1 past papers should you drill?
Direct answer: no official figure. The Extended module’s content is fixed, so ten years covers virtually every technique. Because one paper tests everything, redoing a paper builds fluency rather than novelty: sit the latest five years fully timed, then regroup earlier questions by technique and redo them.
Frequently asked questions
How does M1 relate to the Compulsory Part?
It is a separate subject with its own single paper and grade; the Compulsory Part result is unaffected by it, and vice versa.
May I use a calculator?
Yes – an electronic calculator is allowed, and the M2 paper also provides trigonometric formulas.
Do I need to memorise formulas?
Yes. Only some are provided (trigonometric formulas in M2), and hunting for them costs the time you cannot spare.
Official references
| Resource | What to use it for |
|---|---|
| HKEAA 2027 HKDSE Mathematics Assessment Framework | Confirm the Extended module’s single 100% paper, 2 h 30 min, 50 + 50 marks |
| https://www.tutorzone.com.hk/en-dse-maths-past-paper-drill-guide/ | HKDSE Mathematics (Compulsory Part) drilling guide |
Related: DSE exam practice area · subject guides · HKDSE Physics drilling guide
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