Master Every A-Math Topic Before the O-Levels
A complete SEAB GCE O-Level / G3 Additional Mathematics curriculum — every topic, every technique, every worked example — built into focused 30-minute sessions so Sec 3 and Sec 4 students build real confidence, step by step, from algebra foundations all the way through to calculus and full paper strategy.

Every mistake you make in practice is a mark you're saving for the real exam — and I'll show you exactly how to make that exchange.
— Tuition on Demand Academy

What you'll learn
What you'll be able to do
- Confidently solve every topic type in the SEAB GCE O-Level / G3 Additional Mathematics syllabus, from algebra to calculus
- Apply systematic, examiner-approved methods to show clear working and maximise method marks under timed conditions
- Tackle real-world and context-based A-Math problems by translating word scenarios into correct mathematical models
- Identify and self-correct common conceptual mistakes using structured Solo Check-In practice and fully explained solution pathways
- Build a growth mindset around mathematics — reframing errors as learning data and sustaining motivation across a full two-year syllabus
- Enter the O-Level examination hall with a complete toolkit of formulae, techniques, and time-management strategies honed over 200 hours of guided practice
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
8 modules · 56 lessons

Algebra Foundations
Builds the algebraic backbone of A-Math by mastering polynomials, surds, indices, logarithms, and the key equation-solving techniques examiners reward.
- 1.1Polynomials — Division & Remainder TheoremIncluded
- 1.2Cubic Equations & Solving Polynomial EquationsIncluded
- 1.3Partial Fractions — Distinct & Repeated Linear FactorsIncluded
- 1.4Partial Fractions — Irreducible Quadratic FactorsIncluded
- 1.5Binomial Theorem — Expansion & General TermIncluded
- 1.6Indices & Surds — Laws and SimplificationIncluded
- 1.7Exponential & Logarithmic ExpressionsIncluded
- 1.8Solving Exponential & Logarithmic EquationsIncluded
- 1.9Simultaneous Equations — Linear & Non-LinearIncluded
- 1.10Inequalities — Quadratic and RationalIncluded
Quadratic Theory & Equations
Deepens understanding of quadratic functions — their graphs, discriminant conditions, and connections to inequalities — as required across multiple O-Level question types.
- 2.1Completing the Square & Vertex FormIncluded
- 2.2The Discriminant — Nature of RootsIncluded
- 2.3Conditions for Always Positive / Negative QuadraticsIncluded
- 2.4Sum & Product of Roots — Forming New EquationsIncluded
- 2.5Intersection of Lines & CurvesIncluded
Geometry of Straight Lines & Circles
Covers coordinate geometry from line properties to the full circle equation, equipping students to handle proof, locus, and intersection problems.
- 3.1Gradient, Midpoint & Distance FormulasIncluded
- 3.2Equations of Straight Lines — Forms & ApplicationsIncluded
- 3.3Parallel, Perpendicular Lines & Area of TriangleIncluded
- 3.4Circle Equation — Centre-Radius & General FormIncluded
- 3.5Tangents & Normals to CirclesIncluded
- 3.6Intersection of Lines with Circles & Locus ProblemsIncluded
Trigonometry
Guides students from ASTC and special angles through identities, R-formula, and general solution of trigonometric equations, matching every A-Math trig topic.
- 4.1Trigonometric Ratios, ASTC & Special AnglesIncluded
- 4.2Graphs of Sine, Cosine & Tangent FunctionsIncluded
- 4.3Fundamental Trigonometric IdentitiesIncluded
- 4.4Addition & Double Angle FormulasIncluded
- 4.5The R-Formula — Expressing a sin x + b cos xIncluded
- 4.6General Solution of Trigonometric EquationsIncluded
- 4.7Further Trig Proofs & Mixed Equation SolvingIncluded
Differentiation
Builds differentiation from first principles through all A-Math rules and applications — tangents, normals, rates of change, and stationary points.
- 5.1Differentiation from First PrinciplesIncluded
- 5.2Differentiation Rules — Power, Sum & DifferenceIncluded
- 5.3Chain Rule — Composite FunctionsIncluded
- 5.4Product Rule & Quotient RuleIncluded
- 5.5Differentiating Exponential & Logarithmic FunctionsIncluded
- 5.6Differentiating Trigonometric FunctionsIncluded
- 5.7Tangents, Normals & Equation of Tangent LineIncluded
- 5.8Stationary Points — Nature & Curve SketchingIncluded
- 5.9Connected Rates of ChangeIncluded
- 5.10Increasing/Decreasing Functions & OptimisationIncluded
Integration
Develops integration from standard results through definite integrals, area under/between curves, and kinematics — completing the calculus strand.
- 6.1Integration as Anti-Differentiation — Standard ResultsIncluded
- 6.2Integration of Exponential & Logarithmic FunctionsIncluded
- 6.3Integration of Trigonometric FunctionsIncluded
- 6.4Integration by SubstitutionIncluded
- 6.5Definite Integrals — Evaluation & PropertiesIncluded
- 6.6Area Under a CurveIncluded
- 6.7Area Between Two CurvesIncluded
- 6.8Kinematics — Displacement, Velocity & AccelerationIncluded
Exponential & Logarithmic Functions in Context
Applies exponential and logarithmic models to real-world growth, decay, and data-linearisation problems exactly as set in A-Math exam contexts.
- 7.1Exponential Growth & Decay ModelsIncluded
- 7.2Logarithmic Scales & Data LinearisationIncluded
- 7.3Using Graphs of log y vs x and log y vs log xIncluded
- 7.4Exam-Style Contextual ProblemsIncluded
Proofs, Problem-Solving & Exam Mastery
Consolidates every topic strand through proof techniques, cross-topic problems, and timed exam strategy so students are fully prepared on exam day.
- 8.1Mathematical Proof — Direct & Disproof by CounterexampleIncluded
- 8.2Cross-Topic Problem Solving — Algebra & CalculusIncluded
- 8.3Cross-Topic Problem Solving — Geometry & TrigonometryIncluded
- 8.4Time Management & Working Presentation Under Exam ConditionsIncluded
- 8.5Full Paper Practice — Paper 1 StrategyIncluded
- 8.6Full Paper Practice — Paper 2 Strategy & Final ReviewIncluded
Who it's for
Is this you?
The Sec 3 starter
Just beginning A-Math and wants a structured, confidence-building foundation before the content piles up in Sec 4.
The Sec 4 exam candidate
Facing the O-Level in months and needs a systematic, syllabus-complete resource to consolidate every topic and sharpen exam technique.
The anxious self-studier
Studies hard but loses marks to careless errors and gaps in understanding — needs worked examples and structured self-checking to finally close those holes.
The supportive parent
Wants to understand what their child is learning topic by topic so they can give informed encouragement and spot when extra help is needed.
The private tutor
Needs a rigorous, SEAB-aligned curriculum backbone to structure lessons, ensure syllabus coverage, and give students clear worked-example references.
The confidence rebuilder
Got a discouraging result in a class test or mid-year exam and needs a reset — clear explanations, small wins, and a growth mindset framework to get back on track.
Questions
Frequently asked
Your teacher
A note from your teacher
Tuition on Demand Academy
If you're a Sec 3 or Sec 4 student reading this, I want to start by saying something I mean completely: the fact that A-Math feels hard right now does not say anything about your potential. It says something about how A-Math is often taught — in long, fast-moving lessons where one missed step means the next ten minutes blur into confusion. I've sat with enough students at that exact point of frustration to know that the problem is almost never ability. It's almost always a gap in the foundation that nobody went back to fill.
That's exactly what this curriculum was built to do. Every topic in the SEAB GCE O-Level / G3 Additional Mathematics syllabus is here — every theorem, every rule, every proof technique, every integration trick — but it's delivered in a way that actually sticks. Thirty minutes at a time. One clear idea at a time. With worked examples that show you not just what the answer is, but why we chose that method, and what an examiner is looking for when they mark your working. From the Remainder Theorem through to optimisation and kinematics, nothing is skipped and nothing is rushed.
I also want to be honest about something: content knowledge alone does not get you an A. The students who perform best in the O-Level exam hall are the ones who have practised thinking under pressure, who know how to present working that earns method marks even when they're not 100% sure of the final answer, and who have a calm, reliable strategy for Paper 1 and Paper 2. That's why the last part of this curriculum is dedicated entirely to those skills — cross-topic problem solving, proof writing, time management, and full paper walkthroughs. Because performing in an exam is itself a skill, and it deserves to be trained.
Here's what I ask of you in return: treat every mistake you make in this curriculum as information, not evidence of failure. When a Solo Check-In shows you a gap, be glad — because you found it here, not in the exam room. The growth mindset coaching woven through this course isn't motivational filler. It's the thing that will keep you going in March of your Sec 4 year when the syllabus feels enormous and the exam feels close. You've done hard things before. With the right structure, A-Math becomes one more hard thing you conquer.
I'm genuinely excited for you to begin. Let's build something solid together.
— Tuition on Demand Academy
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- 8 modules, 56 lessons
- AI-adaptive lessons tuned to your level
- Quizzes & checkpoints to lock in progress
- Your own AI learning coach
- Learn on any device, at your pace
- Full access for as long as you're subscribed
