Ace Singapore H1 A-Level Maths

Bite-sized 30-minute lessons built around real MOE exam questions take you from Functions all the way to Hypothesis Testing — so you walk into the exam hall calm, prepared, and ready to score.

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"I don't just want you to get the right answer — I want you to understand it so well that no exam question can catch you off guard."

— Tuition on Demand Academy

What you'll learn

What you'll be able to do

Confidently sketch and analyse functions, transformations, and graphs — including exponential and logarithmic curves — and solve related 'A' Level exam questions accurately.
Solve a full range of equations and inequalities (linear, quadratic, polynomial, rational, exponential, and logarithmic) using the algebraic techniques required by the MOE syllabus.
Apply differentiation rules — product, quotient, and chain — to find tangents, normals, stationary points, and optimise real-world problems as tested in Section A exam questions.
Set up and evaluate definite and indefinite integrals to calculate areas under and between curves, correctly applying standard integration results from the H1 formula list.
Analyse probability scenarios using addition, multiplication, and conditional probability laws, and model discrete data with Binomial and Poisson distributions, including expectation and variance.
Conduct and interpret Z-tests and T-tests for population means, evaluate Pearson's correlation coefficient, and fit a least-squares regression line to bivariate data — exactly as required in Section B of the H1 paper.

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

11 modules · 67 lessons

Functions and Graphs

Build a confident understanding of functions, their properties, and how to sketch and transform exponential and logarithmic curves as required by the H1 syllabus.

1.1What Is a Function? Domain and RangeIncluded
1.2Inverse Functions — Reflecting and ReversingIncluded
1.3The Exponential Function eˣIncluded
1.4The Natural Logarithm ln xIncluded
1.5Graph Transformations — Shifts, Stretches, and ReflectionsIncluded
1.6Asymptotes and Key Graph FeaturesIncluded
1.7Sketching and Analysing Graphs — Putting It TogetherIncluded
1.8Functions and Graphs — Exam WorkshopIncluded

Equations and Inequalities

Develop reliable algebraic methods to solve the full range of equations and inequalities tested in Section A of the H1 paper.

2.1Linear and Quadratic Equations — Sharp FoundationsIncluded
2.2Polynomial and Rational EquationsIncluded
2.3Exponential and Logarithmic EquationsIncluded
2.4Solving Linear and Quadratic InequalitiesIncluded
2.5Rational, Exponential, and Logarithmic InequalitiesIncluded
2.6Equations and Inequalities — Exam WorkshopIncluded

Differentiation

Master every differentiation rule and application in the H1 syllabus, from basic derivatives through to optimisation and rates of change.

3.1Introducing the Derivative — What Does It Mean?Included
3.2Derivatives of Standard FunctionsIncluded
3.3The Product RuleIncluded
3.4The Quotient RuleIncluded
3.5The Chain RuleIncluded
3.6Tangents and NormalsIncluded
3.7Stationary Points and Curve SketchingIncluded
3.8Optimisation ProblemsIncluded
3.9Connected Rates of ChangeIncluded
3.10Differentiation — Exam WorkshopIncluded

Integration

Understand integration as the reverse of differentiation and apply definite integration to find areas under and between curves.

4.1Integration as the Reverse of DifferentiationIncluded
4.2Integrating Standard FunctionsIncluded
4.3Integration by SubstitutionIncluded
4.4Definite Integration and the Fundamental TheoremIncluded
4.5Area Under a CurveIncluded
4.6Area Between Two CurvesIncluded
4.7Integration — Exam WorkshopIncluded

Probability and Discrete Distributions

Build a solid foundation in probability laws and model real data sets using the Binomial and Poisson distributions.

5.1Probability Fundamentals — Addition and Multiplication LawsIncluded
5.2Conditional Probability and Independent EventsIncluded
5.3Permutations and CombinationsIncluded
5.4Discrete Random Variables — Distributions, E(X), and Var(X)Included
5.5The Binomial DistributionIncluded
5.6The Poisson DistributionIncluded
5.7Probability and Discrete Distributions — Exam WorkshopIncluded

The Normal Distribution

Understand the continuous normal distribution, standardise to Z-scores, and find probabilities and unknown values for the H1 exam.

6.1Properties of the Normal DistributionIncluded
6.2Standardisation and Z-ScoresIncluded
6.3Finding Unknown Means and Standard DeviationsIncluded
6.4Normal Distribution — Exam WorkshopIncluded

Sampling and Estimation

Understand how samples are used to estimate population parameters and construct confidence intervals as required by the H1 syllabus.

7.1Populations, Samples, and Random SamplingIncluded
7.2Estimating Population Mean and VarianceIncluded
7.3Sampling Distribution of the Mean and the Central Limit TheoremIncluded
7.4Sampling and Estimation — Exam WorkshopIncluded

Hypothesis Testing

Formulate, carry out, and interpret Z-tests and T-tests for population means exactly as required in Section B of the H1 examination.

8.1Hypotheses, Significance Levels, and the Testing FrameworkIncluded
8.2The Z-Test for a Population MeanIncluded
8.3The T-Test for a Population MeanIncluded
8.4p-Values, Critical Regions, and Drawing ConclusionsIncluded
8.5Hypothesis Testing — Exam WorkshopIncluded

Bivariate Data Analysis and Linear Regression

Analyse relationships between two variables using scatter plots, Pearson's r, and least-squares regression, then interpret results in context.

9.1Scatter Plots and CorrelationIncluded
9.2Pearson's Product-Moment Correlation Coefficient rIncluded
9.3The Least-Squares Regression Line y = ax + bIncluded
9.4Interpreting Regression in ContextIncluded
9.5Bivariate Data Analysis — Exam WorkshopIncluded

Mock Examinations and Final Revision

Consolidate every topic through timed mock papers, targeted revision, and exam-technique coaching to send you into the H1 examination with full confidence.

10.1Exam Technique and Time ManagementIncluded
10.2Mock Paper 1 — Pure MathematicsIncluded
10.3Mock Paper 1 — Review and Targeted FeedbackIncluded
10.4Mock Paper 2 — Probability and StatisticsIncluded
10.5Mock Paper 2 — Review and Targeted FeedbackIncluded
10.6Final Full Mock ExaminationIncluded
10.7Full Mock Review and Last-Mile RevisionIncluded

Sequences and Series

Covers arithmetic and geometric progressions, sum formulas, sum to infinity, and financial applications — all tested in H1 8865 Paper 1.

11.1Arithmetic Progressions — nth Term and SumIncluded
11.2Geometric Progressions — nth Term and SumIncluded
11.3Sum to Infinity of a Geometric SeriesIncluded
11.4Sequences and Series — Exam WorkshopIncluded

Who it's for

Is this you?

The JC1 Early Starter

Wants to build strong foundations in Functions and Calculus from day one so JC2 revision feels like review, not rescue.

The JC2 Gap-Filler

Heading into the final stretch with shaky confidence in Statistics or Integration and needs targeted, exam-focused catch-up fast.

The Self-Study Learner

Prefers learning at their own pace outside the classroom and wants a structured, complete resource that covers every examinable topic.

The School-Lesson Booster

Keeps up in class but wants the extra clarity of step-by-step worked examples and Exam Workshops to turn a B into an A.

The Stats Struggler

Comfortable with Pure Maths but finds Hypothesis Testing, the Normal Distribution, and Regression abstract — and needs them explained with real context.

The Pre-Exam Revisor

A few weeks out from the 'A' Level paper and wants timed Mock Papers, targeted feedback, and last-mile revision to lock in every mark.

Questions

Frequently asked

Your teacher

A note from your teacher

Tuition on Demand Academy

Hey — if you've landed here, there's a good chance you've stared at a page of Maths, felt that sinking feeling, and wondered whether you're really cut out for this. I want you to know something straight away: that feeling isn't a sign you're not smart enough. It's a sign you haven't yet had the explanation that makes it click. That's exactly what this school is here to fix.

H1 'A' Level Mathematics is a genuinely wide syllabus. In two years you go from sketching exponential and logarithmic graphs, through the product, quotient, and chain rules, through integration and area calculations, all the way to running hypothesis tests and interpreting regression lines on bivariate data. Covered well, it's one of the most satisfying intellectual journeys you can take at this age. Covered badly — rushed, jargon-heavy, disconnected from the exam — it becomes a source of real stress. I've built this course because I believe every JC student deserves the former.

Every lesson starts with a real-world hook or a question that makes you genuinely curious before a single formula appears. Then we build the concept step by step, in plain language, with worked examples drawn directly from the style of questions the MOE paper actually sets. I'm not interested in showing you tricks that only work on one question type. I want you to understand the why behind each technique — because that's what lets you adapt when the exam does something unexpected. By the time you reach each Exam Workshop, you're not memorising a method; you're applying understanding.

I also know that JC life is relentless. CCAs, other A-Level subjects, the social whirlwind of being 17 or 18 — Maths has to fit around all of that. That's why every lesson is designed for a 30-minute study block. Some days you'll power through several in a row; other days you'll do one lesson before bed and that's enough. Both are fine. Progress is progress, and this course is built to celebrate every bit of it.

If you're JC1 and starting from the very beginning — welcome, you've timed this perfectly. If you're JC2 and the exams are starting to feel very real — you're in exactly the right place. Let's build the confidence and the skills to walk into that exam hall ready. I'll be with you the whole way.