H2 Maths help for JC students

Free, step-by-step notes and worked examples across the H2 Mathematics (9758) syllabus. Pick a topic, or ask the AI tutor directly.

Pure Mathematics

Inverses, composites, and graph transformations for H2 Maths.

Sign diagrams, modulus inequalities, and systems of linear equations.

AP, GP, sigma notation, and recurrence convergence for H2 Maths.

Dot and cross products, lines, planes, and distances in 3D.

Cartesian arithmetic, Argand diagrams, and conjugate-pair roots.

Rules of differentiation, chain/product/quotient, tangents and rates of change.

Standard integrals, substitution, parts, area and volume.

Separation of variables, general and particular solutions, real-world modelling.

Expand functions as power series using the Maclaurin formula.

Count arrangements and selections using permutations and combinations.

Addition rule, conditional probability, independence, and tree diagrams.

Probability tables, expectation, variance, and the binomial model.

Standardising, GC probabilities, inverse normal, and linear combinations.

Sample mean distribution, CLT, and unbiased estimates from sample data.

Z-test for a population mean: p-value, significance level, and conclusions in context.

Scatter diagrams, interpreting r, and using the regression line to estimate.

What the exam formula booklet gives you — and what you must memorise.

All 9758 topics, the paper format, and what changed in 2025.