DSE Mathematics Paper 1 Strategy: Structure, Method Marks and Answer Format

1. The official structure of Paper 1: three parts each worth 35 points

Paper 1 is the main paper of DSE Mathematics Core, accounting for the subject 65%, exam time 2 hours 15 minutes, full score 105 points, the entire volume is a traditional question, and all calculation steps must be presented.

Three parts have the same weight, changing the entire strategy

There are two direct corollaries to this fact:

• All 35 points in Part A (1) must be earned. The questions are relatively simple and have a fixed format. Almost all points lost are avoidable careless mistakes. Students with a target level of 5 or above will lose points in this part, which is equivalent to giving up directly.
• Part B is also 35 points, and it is the position that opens the level. Part B covers non-basic parts and is the most difficult, but has the same weight as Part A (1). Many students spend most of their review time on questions of moderate difficulty, and end up getting only half of Part B in the long term - this is the single largest source of point loss.

• Paper 2 Strategy
• time allocation
• Common points lost
• Past Paper method
• 5** Strategy
• DSE courses

2. How the steps work

Paper 1 is a traditional question, all calculation steps must be presented, and the scoring is based on reasoning steps conduct. Commonly used in scoring references are M Indicate method (method), with A Mark answer points (accuracy) and allow in some cases Carrying forward calculation— That is, if the previous step is wrong but the subsequent method is correct, you can still get method points for this part.

Where do the scores actually go?

Taking a typical 5-point application question as an example, the points are roughly distributed as follows (the actual distribution is determined by the annual scoring reference):

In other words, about three out of five are usually independent of whether the final answer is correct. This is why we treat "writing standards" as an independent skill training - it is a score that has nothing to do with mathematical ability and can be obtained purely by habit.

3. Question review process

The most common bad habit is to start writing immediately after reading the question. The following four steps should be completed before putting pen to paper, all adding up to no more than 20 seconds.

1. Circle the verb."Ask for," "prove," "simplify," "express by a," "explain"—the verb determines what you hand over. The answer formats for "prove" and "quest" are completely different.
2. Mark all known conditions. Mark the data and conditions given in the question item by item. If you don't use a condition in solving a problem, it usually means you did it wrong - DSE rarely gives useless conditions.
3. Confirm answer format. Is it a fraction, a radical, a decimal, or "expressed in terms of π"? How many significant figures are required? This item is usually written in the last sentence of the title.
4. Check the unit. Does the question mix different units? What units does the answer require? Remember that the conversion of area to volume is not a linear relationship.

Break down the multi-question structure

The questions in Paper 1 are usually divided into sub-topics such as (a), (b), (c), etc. There are three types of relationships between the sub-topics, and identifying them directly affects the strategy:

Most of the questions in Part B are of the linking type, which is why the accuracy of the first question in Part B is particularly critical - one mistake will result in a loss of points for the entire question.

Quickly identify question types by symbols

• ∠, △, circular symbol → geometric proof or basic properties of circles
• Coordinates, slopes, equations of straight lines → Equations of straight lines and circles
• Frequencies, cumulative frequencies, quartiles → Measurement of dispersion and application of statistics
• Interest, growth rate, decay → exponential and logarithmic functions
• sin, cos, tan, three-dimensional graphics → continued triangle (including three-dimensional problems)
• "Suppose... is" plus the proportional relationship → variation

4. Standard answer format

Four principles apply to all questions in Paper 1.

• Write the formula first and then substitute it in. Do not directly write the calculation after substitution.
• The equal signs on each line are aligned vertically, allowing the grader to see the derivation path at a glance.
• One step at a time. Each line does only one thing, and multiple simplifications are not combined.
• Answers are clearly marked. Underline or box the final answer and include the units.

Example 1: Substitute into formula type

Area of a circle = πr²
 = π × 5²
 = π × 25
 = 25π cm²

Note that the last line is retained π— If the question requires "expressed by π", you will lose answer points if you change it to a decimal.

Example 2: Solving Equations

x² + 5x + 6 = 0
(x + 2)(x + 3) = 0
x + 2 = 0 or x + 3 = 0
x = −2 or x = −3

Both solutions must be written. Writing only one solution is a common penalty point, especially for quadratic and trigonometric equations.

Example 3: Application question type

Let the original price of the object be $x.

From the meaning of the title,
0.8x = 240
 x = 240 ÷ 0.8
 x = 300

∴ Original price is $300.

The sentence "Suppose... is" is the key point of the method and cannot be omitted; the conclusion sentence ends clearly with "∴".

5. Writing reasons for geometric proofs

Proof questions are one of the types of questions where most points are lost in Paper 1, and the reason is usually not because you don’t know how to do it, but because you don’t know how to do it.No reason to write. Most of the scores in this section are in parentheses.

standard format

∵ OA = OB (same circle radius)
∴ ∠OAB = ∠OBA (equilateral opposite angles)

∵ ∠ACB = 90° (circumferential angle on semicircle)
∴ ∠CAB + ∠CBA = 90° (△ sum of interior angles)

Four must-follow rules

1. Each step is independent, and use ∵／∴ Mark logical relationships.
2. Reasons are written in brackets, and use the full name of the theorem. You won't score points by writing "angles are equal"; you will get points by writing "(circular angles subtended by the same arc are equal)".
3. Mark on the picture first All known equal sides, equal angles and right angles, and then start writing - the mark itself is the idea.
4. If you need auxiliary lines, draw them and indicate them., such as "connect OC", "make AD ⊥ BC".

Common reasons (some examples)

• Equilateral sides correspond to equal angles/Equal angles correspond to equal sides
• Vertical angles are equal
• Circular angles subtended by the same arc are equal
• An angle on a semicircle is equal to 90°
• The central angle subtended by the same arc is equal to twice the circumferential angle
• Complementary diagonals of a quadrilateral inscribed in a circle
• The tangent line is perpendicular to the radius passing through the tangent point
• The sum of the interior angles of a triangle is 180°
• Corresponding sides of similar triangles are proportional

The above is not a complete list. It is recommended that you compile a comparison table based on the Chinese and English standard writing methods of the textbook you are using, and use the same writing method during practice. If you are taking M2, mathematical induction has the same problem pattern as vector proofs, see M2 complete guide.

6. Typical topics in each part

The following are observations after compiling previous examination papers, which are summarized from experience.Allotment ratios not announced by the HKEAA-Official documents do not list how many points each subject carries.

7. Time allocation and answering order

Correct conversion

105 minutes, 135 minutes, that is Approximately 1.29 minutes per 1 minute (or about 0.78 points per minute completed). Therefore, a 10-point question theoretically takes about 13 minutes.

Answer order according to target level

Encountered a question that I don’t know how to solve

• Jump first and then return: If there is no entry point after the scheduled time, it will be marked as skipped. The rules for discarding questions should be established at ordinary times, rather than ad hoc judgments in the examination room.
• Partial answer: Write formulas, set variables or list known conditions to gain method points.
• Assume to continue: If you don’t understand the previous question for a continuation-type question, assume a reasonable value and continue doing it to get points for subsequent methods.
• Never leave anything blank: The expected score for blank space is zero, and writing any relevant content is no less than zero.

For complete time management and question abandonment rules, see DSE maths Time Allocation.

8. Point-losing trap

The following is grouped by type of loss - as different types require different treatments. See the complete framework Common points lost and errors counted.

9. Practice methods

By Topic and By Year order

The order cannot be reversed: if you complete the entire paper too early, you will get a distorted score because you have not studied all the topics, which is neither diagnostic nor confidence-building. DSE was first held in 2012 and has accumulated 15 previous examination papers as of 2026, as well as sample examination papers and practice papers from the HKEAA. For detailed usage, see Past Paper practice method.

Special training for Paper 1

• Just practice writing: Find ten questions that you already know how to solve, and just practice the writing format - writing formulas, aligning equal signs, and marking answers. This kind of practice requires no thinking, but directly improves method points.
• justification test: Copy down the steps of the proof question but cover up the reasons, and make up the answers yourself. This is the most efficient proof training.
• Special practice for the first question in Part B: Focus on the first question of each question in Part B and check the calculation, because it determines the success or failure of the entire question.
• Limited time division practice: Practice Part A (1) first for 25 minutes, and then do the whole paper after adapting to the rhythm.

The four-column format of the wrong question book

The source of the question, where I made the original mistake, the classification of the error (concept/procedure/question review/calculation), and the record of repeated mistakes. The fourth column is key - it shows which type of error was actually eliminated. For detailed formats and examples, see Common points lost and errors counted.

Courses and Tutors

A considerable part of the score for Paper 1 comes from writing standards - this is the most difficult to learn by yourself, because you need someone to mark the questions one by one according to the scoring requirements, pointing out which steps are missing reasons and which sentences should be written but are not.

our DSE maths tuition courses Taught by instructors who have personally taken the exam as self-taught students and obtained 5** in Core, M1, and M2. The complete step-by-step writing format will be demonstrated in class, and missing links will be pointed out according to the scoring requirements during correction. The ratio of teachers to students in small classes is no more than 1:7, and each class of about 12 to 14 people is taught by two instructors at the same time - one is the lecturer and the other is patrolling during the practice period, so that writing problems can be corrected at the moment they occur. In the Form 6 stage, mock paper will be distributed in each class and will be reviewed in the next class.

• TOLL: Core 4 classes per month (1.5 hours each) HK$1,360; compulsory M1 or M2 (2 hours per class) HK$1,600. See details Charge page.
• schedule: Form 4 Thursday 18:00–19:30 or Saturday 15:30–17:00; Form 5 Friday 18:00–19:30 or Saturday 14:00–15:30; Form 6 Tuesday 18:00–19:30 or Saturday 17:00–18:30.
• Class location: Room A, 9/F, Landmark City, 761 Nathan Road, Prince Edward, Kowloon (About 2 minutes’ walk from Exit C1 of MTR Prince Edward Station).
• WhatsApp/Phone: 9651 3910; Email: terrybgwan@gmail.com.

Students mainly come from Band 1 secondary schools in Kowloon district, including Diocesan Boys' School, Diocesan Girls' School, La Salle College, Maryknoll Convent School, Wah Yan College, Kowloon and Heep Yunn School. See centre background About Math Insight, please see the instructor’s qualifications Maths Tutors, actual results are shown in Results.

Paper 1 Frequently Asked Questions

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