H2 Mathematics support that helps you work it out
MOE/SEAB A-Level H2 Mathematics (9758): Pure Mathematics (functions, graphs and transformations, sequences and series, vectors in 3D, complex numbers, calculus and differential equations) and Probability & Statistics (permutations, distributions, hypothesis testing and correlation).
8 tracked MOE/SEAB skills, from functions, inverses, composite functions and graph transformations to central limit theorem, z/t hypothesis testing and linear regression. The tutor asks focused questions, you test the next step, and the understanding stays yours.
Beta subject: H2 Mathematics uses a domain-specific Socratic rubric and is currently marked Beta while we benchmark its scaffolding across full JC 1–2 (A-Level 9758) papers.
What a h2 mathematics tutor covers
Each skill is tracked separately so strong chapters never mask a shaky prerequisite.
- 1
Functions, inverses, composite functions and graph transformations
Foundation skillDetermine maximal domains and ranges, sketch rational and modulus curves, and apply translations, scalings and reflections.
- 2
AP/GP, method of differences and Maclaurin series expansions
Builds on Functions, inverses, composite functions and graph transformationsEvaluate summation of series by telescoping differences and derive Maclaurin expansions up to specified powers.
- 3
3D vectors, lines, planes, projections and intersections
Foundation skillUse scalar and vector products to find acute angles, shortest distances, foot of perpendicular and line-plane intersections.
- 4
Complex numbers in Cartesian and Euler/polar form
Foundation skillManipulate conjugate roots, modulus-argument form, De Moivre’s thinking and loci on the Argand diagram.
- 5
Parametric/implicit differentiation and integration by substitution & parts
Builds on Functions, inverses, composite functions and graph transformationsDifferentiate implicit and parametric curves, and integrate using trigonometric substitutions, partial fractions and by parts.
- 6
First-order differential equations, volumes of revolution and kinematics
Builds on Parametric/implicit differentiation and integration by substitution & partsFormulate and solve separable differential equations from rate statements and interpret long-term limiting behaviour.
- 7
Permutations & combinations, conditional probability, Binomial and Normal distributions
Foundation skillCount constrained arrangements, apply Bayes-style conditional probability and model random variables with Binomial and Normal distributions.
- 8
Central Limit Theorem, z/t hypothesis testing and linear regression
Builds on Permutations & combinations, conditional probability, Binomial and Normal distributionsCarry out one-tail and two-tail hypothesis tests using p-values, and interpret product-moment correlation and regression models.
How a h2 mathematics session unfolds
The student starts by asking for the answer—and ends up solving the key step themselves.
- Student
How do I find the foot of the perpendicular from point P(1, 2, 3) to the plane r · (1, −2, 2) = 5?
- Tutor
Picture the geometry before writing equations: the line through P and the foot F is perpendicular to the plane. Which vector in the plane’s equation gives you the direction of line PF?
- Student
The normal vector of the plane, n = (1, −2, 2).
- Tutor
Exactly. Using P(1, 2, 3) and direction (1, −2, 2), write the position vector of F in terms of a scalar parameter λ, and state the condition that F lies on the plane.
- Student
OF = (1 + λ, 2 − 2λ, 3 + 2λ). Substituting into r · (1, −2, 2) = 5 gives (1 + λ) − 2(2 − 2λ) + 2(3 + 2λ) = 5, so 3 + 9λ = 5, λ = 2/9, and F is (11/9, 14/9, 31/9).
- Tutor
You set up the parametric foot and solved for λ yourself. Now check your coordinates of F by taking the dot product with (1, −2, 2) to verify it equals 5.
About this illustrative example
This walkthrough is an illustrative script written to show how the five-level hint progression works in H2 Mathematics, not a transcript from a real student account.
Have a h2 mathematics question right now?
Bring your own school worksheet problem or test our interactive whiteboard with zero login required.
How skill progress is recorded
Sessions build a clear skill record for the student and a calm, read-only summary for linked parents.
One bar per skill
Mastery is tracked skill by skill, not as a single subject percentage, so a strong topic cannot hide a weak one.
The hint level counts
Getting something right with one small hint moves the bar more than getting it right after five. The number we show you reflects how much help you needed.
Built from an event log
Every attempt, hint and explanation is recorded as an event, and the bars are calculated from that history. It can be replayed, which means the numbers are reproducible rather than asserted.
A parent sees the same numbers
A linked parent gets the same skill bars, the last judgement and its line of evidence behind each level, the recent session summaries and the flag counts — read-only, and nothing that is not also on your own pages.
8 skill bars, tracked independently
In h2 mathematics, that means 8 separate skill bars — functions, inverses, composite functions and graph transformations, ap/gp, method of differences and maclaurin series expansions, 3d vectors, lines, planes, projections and intersections, and the rest — each updating based on verified problem steps. Linked parents see the same topic bars and session takeaways in read-only mode.
H2 Mathematics FAQs
Common questions from students and parents about studying this subject on tutor.ai.
Does this follow the Singapore A-Level H2 Mathematics (9758) syllabus?
Yes. The eight tracked skills cover both Pure Mathematics (functions, series, 3D vectors, complex numbers, calculus and differential equations) and Probability & Statistics (distributions, Central Limit Theorem, hypothesis testing and regression).
Will the tutor solve integrals, vectors or hypothesis tests for me?
No. It asks which substitution, vector product or test statistic applies and checks your working step by step without handing over the finished derivation.
Can I sketch Argand diagrams, curve transformations or 3D vectors on the board?
Yes — draw your curve with asymptotes or your line-and-plane projection on the shared whiteboard, and the tutor will inspect the geometry with you.
How does it handle graphing calculator (GC) steps in statistics?
It asks you to state the null and alternative hypotheses, distribution parameters and test statistic clearly before interpreting the p-value in context.
More JC 1–2 (A-Level 9758) subjects
Switch between subjects at the same school level or open the full catalogue.
H2 Chemistry
MOE/SEAB A-Level H2 Chemistry (9729): atomic structure and VSEPR bonding, chemical energetics and Born-Haber cycles, reaction kinetics, ionic equilibria and buffers, organic reaction mechanisms, electrochemistry and transition elements.
H2 Physics
MOE/SEAB A-Level H2 Physics (9749): Newtonian mechanics, circular motion and gravitation, oscillations and wave superposition, thermal physics, electric and magnetic fields, electromagnetic induction, AC circuits, quantum physics and nuclear physics.
H2 Economics
MOE/SEAB A-Level H2 Economics (9570): price mechanism and elasticities (PED, PES, YED, XED), market failure and government micro intervention, firms and market structures, macroeconomic circular flow and AD/AS, monetary/fiscal/supply-side policies, international trade and case-study evaluation.
H1 General Paper (GP)
MOE/SEAB A-Level H1 General Paper (8881): Paper 1 argumentative and evaluative essay construction across science, media, governance, arts and environment; Paper 2 short-answer paraphrase, comparison across passages, 120-word summary and the 10-mark Application Question (AQ).
Bring your h2 mathematics question
Free during testing, with no credit card required.