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.
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Pure Mathematics
Functions and Graphs
Inverses, composites, and graph transformations for H2 Maths.
Equations and Inequalities
Sign diagrams, modulus inequalities, and systems of linear equations.
Sequences and Series
AP, GP, sigma notation, and recurrence convergence for H2 Maths.
Vectors
Dot and cross products, lines, planes, and distances in 3D.
Complex Numbers
Cartesian arithmetic, Argand diagrams, and conjugate-pair roots.
Differentiation
Rules of differentiation, chain/product/quotient, tangents and rates of change.
Integration
Standard integrals, substitution, parts, area and volume.
Differential Equations
Separation of variables, general and particular solutions, real-world modelling.
Maclaurin Series
Expand functions as power series using the Maclaurin formula.
Probability & Statistics
Permutations and Combinations
Count arrangements and selections using permutations and combinations.
Probability
Addition rule, conditional probability, independence, and tree diagrams.
Discrete Random Variables
Probability tables, expectation, variance, and the binomial model.
Normal Distribution
Standardising, GC probabilities, inverse normal, and linear combinations.
Sampling
Sample mean distribution, CLT, and unbiased estimates from sample data.
Hypothesis Testing
Z-test for a population mean: p-value, significance level, and conclusions in context.
Correlation and Regression
Scatter diagrams, interpreting r, and using the regression line to estimate.
Guides & Reference
MF27 Formula List
What the exam formula booklet gives you — and what you must memorise.
H2 Maths Practice Questions
Unlimited A-Level and prelim-style questions by topic, difficulty and school.
H2 Maths Syllabus (9758)
All 9758 topics, the paper format, and what changed in 2025.
A-Level Maths Questions
Worked sample questions by topic, plus a free question generator.
H2 Maths Prelim Papers
Finding prelim papers, using them well, and unlimited prelim-style practice.
H2 Maths Specimen Papers
The 2025-syllabus specimen papers: format, changes, and getting unstuck.