A-Level Math Syllabus: 2026/27 IP Student Guide

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13 Jul 2025, 00:00 Z

Q: What does A-Level Math Syllabus: 2026/27 IP Student Guide cover?
A: One reference page that dissects the Singapore-Cambridge GCE A-Level (H2) Math syllabus (9758)-exam structure, topic map, micro-skills.

TL;DR
The 9758 H2 Mathematics syllabus is assessed by two three-hour papers of 100 marks each.
Paper 1 + Paper 2 together span 11 pure-math themes plus five probability-and-statistics themes.
IP students meet many of the "new" ideas-binomial summations, vectors, derivatives from first principles-in Years 3-4; the A-Level course extends those foundations into proof-level rigour, multistep modelling and formal hypothesis testing.

1 | Assessment Snapshot

Paper	Duration / Marks	Weight	Item blend
Paper 1	3 h / 100 marks	50 %	Pure Maths only
Paper 2	3 h / 100 marks	50 %	Pure Maths + Probability & Statistics

There is no separate statistics paper under the latest 9758 spec; every candidate sits exactly two papers.

Each paper contains 10-12 questions; half are short (4-6 mark) tasks, the rest long (10-12 mark) modelling questions that intertwine multiple syllabus strands.

Strand	What you must know	IP bridge
Functions	domain, range, modulus, composite & inverse, asymptote behaviour	Y3 graph-sketch & surd work
Equations & Inequalities	simultaneous linear-quadratic systems, sign diagrams	Y2 quadratic sketch
Sequences & Series	sigma notation, AP/GP sums, binomial & Maclaurin to $n \le 3$	Y3 binomial $(a+b)^n$
Vectors	$\mathbb{R}^3$ scalar & vector products, lines, planes, shortest distance	Y3/Y4 2-D vectors
Complex Numbers	Argand diagram, polar form $r \cos \theta$ , De Moivre, loci	Only touched in IP RA/Olympiad
Calculus	product, quotient, chain, implicit, parametric; techniques of integration; differential equations	Y4 derivatives & simple integrals
Applications of Integration	area, volume of revolution, mean/variance of continuous r.v.	Links to Stats Paper 2

Strand	Key targets	IP bridge
Probability	permutations, combinations, conditional, Bayes, expectation	Y2 basic probability
Random Variables	discrete & continuous pdf/cdf, mean & variance proofs
Distributions	Binomial, Poisson, Normal; continuity correction
Sampling & Estimation	unbiased estimator, confidence intervals	Statistics WA tasks
Hypothesis Testing	one-/two-tailed $z, t$ tests, paired data, goodness-of-fit $\chi^2$	Appears first in Y4 IP

A-Level Math Syllabus: 2026/27 IP Student Guide

1 | Assessment Snapshot

2 | Topic Map

2.1 Pure Mathematics $≈ 70 \% \text{ of marks}$

2.2 Probability & Statistics $≈ 30 \% \text{ of marks}$

3 | Micro-Skills Examiners Reward

4 | Worked Illustrations

4.1 Pure: Vector-Plane Intersection

4.2 Statistics: Two-Tailed Mean Test

5 | Year-by-Year IP Alignment

Practice Quiz

6 | Further Reading

Related Posts

1 | Assessment Snapshot

2 | Topic Map

2.1 Pure Mathematics ≈70% of marks ≈ 70 \% \text{ of marks} ≈70% of marks

2.2 Probability & Statistics ≈30% of marks ≈ 30 \% \text{ of marks} ≈30% of marks

3 | Micro-Skills Examiners Reward

4 | Worked Illustrations

4.1 Pure: Vector-Plane Intersection

4.2 Statistics: Two-Tailed Mean Test

5 | Year-by-Year IP Alignment

Practice Quiz

6 | Further Reading

Related Posts

2.1 Pure Mathematics $≈ 70 \% \text{ of marks}$

2.2 Probability & Statistics $≈ 30 \% \text{ of marks}$