Crack H2 Maths. Ace the A-Levels.

A complete, exam-aligned course that walks you through every topic on the MOE H2 Mathematics syllabus (9758) — Pure Maths to Statistics — with structured lessons, real past-year questions, and full mock papers so you walk into the exam hall feeling genuinely ready.

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Every H2 Maths topic is learnable — my job is to show you exactly how the examiner thinks, so you never leave marks on the table.

— Tuition on Demand Academy

What you'll learn

What you'll be able to do

Confidently tackle every topic in the official MOE H2 Mathematics syllabus (9758), from Pure Mathematics to Statistics
Apply calculus — differentiation, integration, and differential equations — to solve A-Level exam problems accurately and efficiently
Work fluently with vectors, complex numbers, and functions, recognising the exact question types that appear on Paper 1
Interpret and solve probability and statistics questions — including hypothesis testing and correlation — as they appear on Paper 2
Perform under timed, exam-condition pressure using full-length mock papers modelled on real Cambridge A-Level format
Spot the examiner's intent in real past-year questions and apply proven answering strategies to maximise marks

How it works

A school that adapts to you

This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.

We learn your level

A quick placement check tailors your starting point so you're never bored or lost.

Lessons adapt as you go

Each lesson is written for your pace and your goal, adjusting as your skills grow.

Your AI coach keeps you moving

Checkpoints, feedback, and gentle nudges turn progress into a real result.

The curriculum

What's inside your school

13 modules · 83 lessons

Functions & Graphs

Builds mastery of functions, graph transformations, and inequalities — the essential toolkit for all Pure Mathematics topics that follow.

1.1What Is a Function? Domain, Range & NotationIncluded
1.2Inverse Functions — Swapping Input & OutputIncluded
1.3Composite Functions — Functions Inside FunctionsIncluded
1.4Graph Transformations — Shifts, Stretches & ReflectionsIncluded
1.5Rational Functions & Oblique AsymptotesIncluded
1.6Solving Inequalities — Graphical & Algebraic MethodsIncluded
1.7Functions & Graphs — Exam SprintIncluded

Sequences, Series & the Binomial Theorem

Covers arithmetic and geometric progressions, convergence, sigma notation, and the Binomial Theorem with consistent links to exam question formats.

2.1Arithmetic Progressions — Spotting the PatternIncluded
2.2Geometric Progressions & the Sum to InfinityIncluded
2.3Sigma Notation & Standard ResultsIncluded
2.4The Method of DifferencesIncluded
2.5The Binomial Theorem — Expanding & ApproximatingIncluded
2.6Sequences & Series — Exam SprintIncluded
2.7Financial Applications of AP & GPIncluded

Recurrence Relations & System of Linear Equations

Covers the two Pure Maths topics most commonly omitted from self-study plans: defining sequences by recurrence relations (uₙ₊₁ = f(uₙ)), analysing their convergence behaviour, and solving systems of up to three linear equations using a GC — both are explicit 9758 syllabus items that appear regularly in Paper 1.

3.1Recurrence Relations & ConvergenceIncluded
3.2System of Linear Equations — GC & Algebraic MethodsIncluded

Vectors in 2D & 3D

Develops confident vector algebra, lines and planes in 3D, and the geometric reasoning skills that Paper 1 examiners reward.

4.1Vector Basics — Notation, Addition & Scalar MultiplicationIncluded
4.2Dot Product & the Angle Between VectorsIncluded
4.3Cross Product, Area & VolumeIncluded
4.4Equations of Lines in 3DIncluded
4.5Equations of PlanesIncluded
4.6Distances — Point to Line, Point to Plane, Between LinesIncluded
4.7Vectors — Exam SprintIncluded

Complex Numbers

Introduces complex numbers in Cartesian, polar, and exponential forms and connects them directly to A-Level Paper 1 question styles.

5.1Introducing Complex Numbers — The Number iIncluded
5.2Argand Diagrams & the Complex PlaneIncluded
5.3Modulus-Argument Form & Polar CoordinatesIncluded
5.4Euler's Form & De Moivre's TheoremIncluded
5.5Loci in the Complex PlaneIncluded
5.6Complex Numbers — Exam SprintIncluded

Calculus I — Differentiation

Builds a thorough, exam-ready toolkit for differentiation, from first principles through to connected rates and optimisation problems.

6.1Differentiation from First PrinciplesIncluded
6.2Standard Derivatives & the Chain RuleIncluded
6.3Product Rule & Quotient RuleIncluded
6.4Implicit Differentiation & Parametric DifferentiationIncluded
6.5Tangents, Normals & Stationary PointsIncluded
6.6Optimisation & Connected Rates of ChangeIncluded
6.7Maclaurin SeriesIncluded
6.8Differentiation — Exam SprintIncluded

Calculus II — Integration

Develops all integration techniques tested at H2 level, from standard integrals through to definite integral applications and areas.

7.1Integration as the Reverse of DifferentiationIncluded
7.2Integration by SubstitutionIncluded
7.3Integration by PartsIncluded
7.4Partial Fractions & Integration of Rational FunctionsIncluded
7.5Definite Integrals — Area Under & Between CurvesIncluded
7.6Volumes of RevolutionIncluded
7.7Integration — Exam SprintIncluded

Differential Equations

Covers formation, solving, and interpretation of first-order differential equations as examined in the H2 syllabus.

8.1Forming Differential Equations from Word ProblemsIncluded
8.2Variables Separable Differential EquationsIncluded
8.3Integrating Factor MethodIncluded
8.4Interpreting & Sketching Solution CurvesIncluded
8.5Differential Equations — Exam SprintIncluded

Permutations, Combinations & Probability

Establishes rigorous counting techniques and probability laws that underpin all Statistics topics on Paper 2.

9.1The Fundamental Counting PrincipleIncluded
9.2Permutations — Ordered ArrangementsIncluded
9.3Combinations — Choosing Without OrderIncluded
9.4Probability — Sample Spaces, Events & AxiomsIncluded
9.5Conditional Probability & IndependenceIncluded
9.6Permutations, Combinations & Probability — Exam SprintIncluded

Discrete Random Variables & Binomial Distribution

Introduces probability distributions, expectation algebra, and the Binomial distribution with direct links to Paper 2 exam questions.

10.1Discrete Random Variables — Tables, E(X) & Var(X)Included
10.2Expectation Algebra — E(aX+b) & Var(aX+b)Included
10.3The Binomial Distribution B(n, p)Included
10.4The Poisson Distribution — X ~ Po(λ)Included
10.5Poisson Approximation to the BinomialIncluded
10.6Binomial Mean, Variance & ApproximationsIncluded
10.7Discrete Distributions — Exam SprintIncluded

Normal Distribution & Sampling

Covers the Normal distribution, standardisation, the Central Limit Theorem, and sampling distributions as required by the H2 syllabus.

11.1The Normal Distribution — Shape, Parameters & NotationIncluded
11.2Standardisation & the Z-Table / GCIncluded
11.3Finding Unknown μ or σ from Probability ConditionsIncluded
11.4Sum & Difference of Independent Normal VariablesIncluded
11.5Sampling Distributions & the Central Limit TheoremIncluded
11.6Normal Distribution & Sampling — Exam SprintIncluded

Hypothesis Testing & Correlation / Regression

Covers z-tests, t-tests, and linear regression as examined on Paper 2, with emphasis on correct statistical language and conclusions.

12.1Hypothesis Testing — Concepts, H₀ & H₁, and p-ValuesIncluded
12.2One-Sample z-Test for the Population MeanIncluded
12.3One-Sample t-Test for the Population MeanIncluded
12.4Errors, Significance Levels & Critical RegionsIncluded
12.5Correlation Coefficient & Linear RegressionIncluded
12.6Using & Interpreting the Regression LineIncluded
12.7Hypothesis Testing & Regression — Exam SprintIncluded

Mock Examinations & Exam Mastery

Consolidates the entire H2 syllabus through full-length mock papers, targeted review, and proven exam-day strategies to maximise A-Level performance.

13.1Mock Exam 1 — Paper 1 (Pure Mathematics)Included
13.2Mock Exam 1 — Paper 1 Debrief & Mark MaximiserIncluded
13.3Mock Exam 1 — Paper 2 (Statistics & Further Pure)Included
13.4Mock Exam 1 — Paper 2 Debrief & Mark MaximiserIncluded
13.5Mock Exam 2 — Full Paper 1 & 2 SittingIncluded
13.6Mock Exam 2 — Full Debrief & Personal Improvement PlanIncluded
13.7Examiner's Secrets — Common Mistakes & Mark-Winning StrategiesIncluded
13.8Final Revision Masterclass — You Are Ready!Included

Who it's for

Is this you?

The JC2 Exam Sprinter

She's racing the A-Level clock and needs targeted practice, mock papers, and examiner strategies to convert her knowledge into marks — fast.

The JC1 Foundation Builder

He wants to build the right habits early, get ahead of the school's pace, and never be the student who's lost during lectures.

The Statistics Avoider

She's solid on Pure Maths but goes blank on hypothesis testing and regression — she needs clear, step-by-step Stats lessons that finally make it click.

The O-Level Graduate Getting a Head Start

He's just gotten his O-Level results and wants to hit the ground running in JC — learning H2 Maths basics before day one so he's never the one playing catch-up.

The Self-Study Independent Learner

Tuition centre timetables don't fit her schedule, so she needs a complete, structured course she can work through at her own pace without missing anything.

The Supportive Parent

He's looking for a rigorous, trustworthy resource to complement his child's school lessons and give them the structured practice and mock papers their school doesn't provide.

Questions

Frequently asked

Your teacher

A note from your teacher

Tuition on Demand Academy

Hey — I'm really glad you found this page, because it probably means you're at a point where H2 Maths feels like a lot. Maybe the school lectures are moving fast and you're nodding along but not quite sure you've actually got it. Maybe you opened a past-year paper, stared at a vectors question, and felt your stomach drop. Maybe you're an O-Level student who's heard the horror stories and wants to walk into JC1 already one step ahead. I see you. I've been sitting across from students in exactly that position for years, and I can tell you with total honesty: the subject is hard, but it is not beyond you.

What I've learned from teaching H2 Maths — really teaching it, not just delivering a lecture — is that confusion almost always comes down to one of two things: a gap in a foundational concept, or not knowing what the examiner is actually looking for. Neither of those is a talent problem. They're just information gaps, and information gaps can be filled.

That's the philosophy behind H2 Maths Mastery. Every lesson is built around a specific concept or skill, taught with worked examples that look like real exam questions — because they are. We don't do abstract theory for its own sake. We do the kind of maths that earns marks on Paper 1 and Paper 2. You'll see me work through problems step by step, hear me explain the 'why' behind every move, and watch exactly how a clean, mark-winning solution is constructed. Then it's your turn, with practice that gets progressively more exam-like as you build confidence.

I also know that in JC, time is genuinely tight. You have other subjects, CCAs, internal assessments, and a life. So I've designed every lesson to be completable in 30 minutes — no padding, no filler. You can make real progress in a study break or on the MRT. And when you're in the home stretch, the full-length mock papers, debriefs, and the Examiner's Secrets lesson are there to turn your knowledge into a performance.

Here's my promise to you: if you work through this course — actually engage with the Exam Sprints, sit the mock papers seriously, and use the feedback — you will walk into the A-Level exam hall knowing that you have done the preparation. That feeling of readiness? That's what I want for every single student who joins this school. Let's get to work.