JC · A-Level

H2 Mathematics Prompt Templates

25 templates covering Syllabus 9758 — Pure Mathematics, Probability & Statistics, and exam technique.

Syllabus 9758 at a glance

Paper 1

Pure Math

50%

10–12 questions — Functions, Calculus, Vectors, DEs

Paper 2

Pure + Stats

50%

Section A: Pure (40m); Section B: Probability & Stats (60m)

Pure: Functions · Sequences · Calculus · Vectors · DEsStats: Permutations · Probability · Distributions · Hypothesis Testing · RegressionShow-that questions: no circular reasoningGC allowed throughout

Pure Mathematics Probability & Statistics Exam Technique

H2 Mathematics Prompt Templates

Syllabus 9758 at a glance

Pure Mathematics

Sketch and analyse a function

Solve sequences and series problems

Differentiate and apply calculus

Integrate and solve definite/indefinite integrals

Solve 3D vector problems

Solve differential equations

Perform operations with complex numbers

Expand functions using Maclaurin series

Prove results by mathematical induction

Complex Numbers — Modulus-Argument Form

Vectors — Lines and Planes

Mathematical Induction — Full Proof Structure

Probability & Statistics

Solve probability and combinatorics problems

Apply discrete and continuous probability distributions

Conduct a hypothesis test step by step

Interpret correlation and find regression lines

Apply sampling methods and construct confidence intervals

Work with expectations and linear combinations of random variables

Normal Distribution and Standardisation

Hypothesis Testing — Full Procedure

Permutations, Combinations and Probability

Exam Technique

Structure a show/prove question

Check and verify answers in H2 Math

Using the GC Efficiently in H2 Math

H2 Mathematics Exam Time Management