One-to-one
HKD 2,000 per hour
Three courses, clear progression
HKDSE Mathematics — Compulsory Part
Autumn · 11 lessons × 150 minutesHKD 5,940 · HKD 540/lesson
Secondary 4 and 5 students. Secondary 4: consolidate core knowledge with suitable extension work. Secondary 5: reinforce foundational topics and practise DSE questions. Choose foundation or extension exercises according to your level.
- Devices
- Tablet, computer or mobile phone.
- Release and replay
- One lesson per week after enrolment. Specific dates are confirmed by customer service. Replay access lasts 12 months from course activation.
- Learning support
Electronic handouts and exercises.
WeChat support daily, 09:00–20:00 Hong Kong time. Replies generally arrive on the same day.
Support continues until the end of the current course.
Full-course payment, individual lessons and mid-term enrolment are available.
View the 11-lesson outline ＋
Swipe left or right to view the full outline.
| Lesson | Topic | Learning objectives | Foundation (S4) | Extension (S5) |
|---|---|---|---|---|
| 1 | Solving quadratic equations | Use factorisation, completing the square and the quadratic formula; choose an appropriate method. | Basic and standard questions using all three methods. | Quadratics with parameters; simultaneous quadratic and linear equations. |
| 2 | Discriminant and properties of roots | Use the discriminant; relate roots to coefficients; recognise complex roots. | Classify roots and find unknown constants. | Construct equations from root–coefficient relationships; DSE past questions. |
| 3 | Applications of quadratic equations | Model real situations with quadratic equations and check whether answers are reasonable. | Area, number and motion problems. | Applications involving variation. |
| 4 | Functions and quadratic graphs | Understand functions, domains and function values; draw and interpret quadratic graphs. | Read graphs; find values and domains. | Translations and reflections of graphs. |
| 5 | Vertex form and extrema | Complete the square to obtain vertex form; find maxima, minima and axes of symmetry. | Find vertices and extrema by completing the square. | Solve quadratic inequalities graphically. |
| 6 | Index laws and exponential equations | Simplify using index laws; solve exponential equations reducible to a common base. | Simplifying powers and common-base equations. | Exponential equations in geometric sequences. |
| 7 | Logarithms and logarithmic equations | Use logarithm definitions, laws and change of base to solve equations. | Logarithm laws and basic equations. | Find the number of terms in geometric sequences using logarithms. |
| 8 | Exponential and logarithmic functions | Understand graph properties and solve practical applications. | Graph recognition and applications. | DSE Paper 2 multiple-choice graph questions. |
| 9 | Polynomial division and remainder theorem | Perform long division and use the remainder theorem. | Long division and remainders. | Remainder theorem questions with two unknown coefficients. |
| 10 | Factor theorem and higher-degree factorisation | Factorise cubic polynomials and solve equations using the factor theorem. | Cubic factorisation. | DSE long questions combining the factor theorem and equation solving. |
| 11 | Comprehensive test and review | Complete a test and review each question’s reasoning and common errors. | Paper A: school examination level. | Paper B: DSE level. |
HKDSE Mathematics — Extended Part M1
Autumn · 11 lessons × 150 minutesHKD 5,940 · HKD 540/lesson
Secondary 4 and 5 students, starting from the basics. The autumn course covers prerequisite knowledge, limits, differentiation rules, applications and introductory indefinite integration, preparing students for further integration and statistics.
- Devices
- Tablet, computer or mobile phone.
- Release and replay
- One lesson per week after enrolment. Specific dates are confirmed by customer service. Replay access lasts 12 months from course activation.
- Learning support
Electronic handouts and exercises.
WeChat support daily, 09:00–20:00 Hong Kong time. Replies generally arrive on the same day.
Support continues until the end of the current course.
Full-course payment, individual lessons and mid-term enrolment are available.
View the 11-lesson outline ＋
Swipe left or right to view the full outline.
| Lesson | Topic | Learning objectives | Key focus |
|---|---|---|---|
| 1 | Binomial expansion | Expand (a+b)ⁿ, find specified terms and coefficients, and use summation notation. | Applying the general-term formula. |
| 2 | e and natural logarithms | Understand e and the properties and operations of exponential and logarithmic functions. | Operations and equations involving ln. |
| 3 | Logarithmic linearisation | Linearise y = kxⁿ and y = kaˣ using logarithms; determine constants from graphs. | Data processing and graph interpretation. |
| 4 | Limits | Understand limits; calculate polynomial, rational and e-related limits. | Handling 0/0 forms. |
| 5 | Definition of derivatives and basic rules | Differentiate from first principles; use constant, power, sum and difference rules. | Clear presentation of first-principles differentiation. |
| 6 | Product, quotient and chain rules | Use the three rules to differentiate composite functions. | Breaking down the layers in the chain rule. |
| 7 | Exponential and logarithmic derivatives; second derivatives | Differentiate eˣ, ln x and their composites; find second derivatives. | Combining differentiation rules. |
| 8 | Applications of derivatives I | Find tangent equations and solve rate-of-change problems. | Modelling related rates. |
| 9 | Applications of derivatives II | Find local maxima and minima; solve optimisation problems. | Domain endpoints and verification. |
| 10 | Introduction to indefinite integration | Understand integration as the reverse of differentiation; use basic formulas and substitution. | Choosing substitutions. |
| 11 | Comprehensive test and review | Complete a test and review the reasoning and common errors for each question. | Differentiated test papers. |
Joint Entrance Examination Mathematics
Autumn · 11 lessons × 150 minutesHKD 6,490 · HKD 590/lesson
Students preparing for the Joint Entrance Examination for overseas Chinese, Hong Kong, Macao and Taiwan students, starting from the basics. The autumn course builds algebraic foundations through sets, complex numbers, functions, inequalities, differentiation and definite integration.
- Devices
- Tablet, computer or mobile phone.
- Release and replay
- One lesson per week after enrolment. Specific dates are confirmed by customer service. Replay access lasts 12 months from course activation.
- Learning support
Electronic handouts and exercises.
WeChat support daily, 09:00–20:00 Hong Kong time. Replies generally arrive on the same day.
Support continues until the end of the current course.
Full-course payment, individual lessons and mid-term enrolment are available.
View the 11-lesson outline ＋
Swipe left or right to view the full outline.
| Lesson | Topic | Learning objectives | Key focus |
|---|---|---|---|
| 1 | Sets, logical language and complex numbers | Use set operations and necessary/sufficient conditions; understand complex numbers and the four arithmetic operations. | Distinguishing necessary and sufficient conditions. |
| 2 | Concept of a function | Understand functions; find domains, ranges and expressions; recognise piecewise functions. | Domains of composite functions. |
| 3 | Properties of functions | Identify and apply monotonicity, parity and periodicity. | Combining function properties. |
| 4 | Quadratic and power functions; graphs | Find extrema of quadratics on intervals; draw graphs and use transformations. | Case analysis for quadratics with parameters. |
| 5 | Exponential and logarithmic functions | Use exponential and logarithmic operations, graphs and properties; compare values. | Comparing exponential and logarithmic expressions. |
| 6 | Functions and equations | Understand zeros; determine their number and intervals; solve integrated function problems. | Using algebra and graphs together to locate zeros. |
| 7 | Inequalities | Solve quadratic, rational and absolute-value inequalities; use the basic inequality to find extrema. | Equality conditions in the basic inequality. |
| 8 | Derivatives: concepts and calculation | Use derivative formulas and rules; find tangent equations. | Distinguishing tangents through a point from tangents at a point. |
| 9 | Applications of derivatives | Use derivatives to study monotonicity and find local and absolute extrema. | Monotonicity of functions with parameters. |
| 10 | Definite integration and integrated derivative problems | Evaluate definite integrals, find areas under curves and solve combined derivative problems. | Reformulating conditions that must hold for all values. |
| 11 | Stage test and review | Complete a functions-and-derivatives test; review each question’s reasoning and common errors. | Identifying and addressing gaps. |
In-person tutoring by appointment
One-to-two
HKD 1,500 per student per hour
Location: our Sheung Wan office. Sessions cover DSE and Joint Entrance Examination mathematics questions, topic explanations and paper analysis. One-to-two sessions suit students at similar levels; students may form their own pair or ask us to arrange pairing. All fees are in Hong Kong dollars, payable at booking, with an official receipt issued after payment. Places are limited; please book via WhatsApp or WeChat.
View rescheduling and cancellation terms ↗