DSE Mathematics

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DSE mathematics exam desk: a function curve with its tangent and a histogram drawn in an answer booklet, beside a scientific calculator, a clear ruler and protractor, a mechanical pencil and an eraser, and two statistics cards.

Rebuild the compulsory concepts, then train fast calculation for Paper 2 and Paper 1 long-question strategy.

  • Use performance evidence to locate prerequisite gaps instead of repeating whole topics
  • Train the decisions behind question recognition, method choice and calculator checks
  • Use substitution, elimination, estimation and calculator checks to improve Paper 2 speed and accuracy
  • Break long questions into marking steps to preserve available method marks
  • Build a personal prevention checklist and revision order from classified errors
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Course highlights

Diagnosis Locate the prerequisite gap that blocks progress Use calculations and working to find the source of an error instead of labelling every mistake as carelessness.
Trace prerequisites
Work backwards from an error to gaps in algebra, graphs, geometry or number sense.
Classify errors
Separate conceptual, computational, interpretation, communication and timing problems.
Targeted repair
Use short practice and retesting to confirm that the repaired foundation transfers to the original task.
 Problem-solving decisions Choose methods from conditions, not memorised question types Translate words, diagrams and values into mathematical relationships, then compare viable methods.
Organise conditions and goals
List knowns, unknowns and constraints before solving.
Choose a method
Compare algebraic, graphical, geometric and trial approaches and their conditions.
Use the calculator to verify
Apply built-in functions, estimation and substitution as checks rather than substitutes for reasoning.
 Paper 2 practice Make fast, verifiable decisions in timed multiple-choice questions Choose direct calculation, substitution, elimination or graphical estimation from the question, then use a two-pass answering and checking rhythm.
Choose the fastest reliable route
Decide when full calculation is needed and when options, special values, graphs or properties can shorten the solution.
Verify calculators with estimation
Use equation, statistics and trigonometry functions while checking signs, ranges and magnitudes to reject implausible options.
Use two-pass time management
Secure confident answers first and mark uncertain items, then return to longer calculations and close distractors.
 Paper 1 practice Write complete working that earns available marks Break long questions into intermediate goals while keeping symbols, units, reasoning and answers consistent.
Plan intermediate results
Identify results required by later parts so one error does not stop the whole question.
Show steps and reasons
Keep key formulae, substitutions and conclusions visible and traceable.
Check plausibility
Use range, graph, units and context to test the answer.
 Revision system Make each error change the next attempt Record the cause, correct decision and future checkpoint instead of merely copying the answer.
Redo before reviewing
Attempt the decisive step again, then compare the original and correct reasoning.
Personal prevention list
Accumulate recurring issues in signs, rounding, units, interpretation and calculator input.
Spaced retesting
Use a variation after a delay to confirm method mastery rather than memory of the original answer.
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Course content

Number and algebra
Rational numbers, percentages, rates and ratios, algebraic manipulation, factorisation, indices and logarithms.
Equations and functions
Quadratic equations, functions and their graphs, graph transformations, and solving equations graphically.
Sequences and rate of change
Arithmetic and geometric sequences, series sums, and the link between rate of change and graphs of functions.
Coordinate geometry
Coordinates and distance, equations of straight lines, equations of circles, and locus problems.
Geometry and mensuration
Properties and proofs of plane figures, area and volume, and similar and congruent figures.
Trigonometry
Trigonometric ratios, identities and equations, sine and cosine rules, and 2D and 3D angle and side calculations.
Probability and statistics
Probability calculations, statistical charts, measures of central tendency and dispersion, and data analysis.

Course fees

4 lessons per month 90 minutes per lesson

Fees by level

S4
HK$1,380/ 4 lessons
S5-S6
HK$1,560/ 4 lessons
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