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

Download printable cheat-sheet (CC-BY 4.0)

13 Jul 2025, 00:00 Z

Reviewed by

Marcus Pang·Managing Director (Maths)

Want small-group support? Browse our A-Level Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.

Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.

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.

Looking for the “IP maths syllabus”?
IP Maths scope varies by school. Start with our scope map + verification checklist (and the naming guide for Math 1/2 vs Integrated/Advanced):
https://eclatinstitute.sg/blog/ip-maths-tuition/IP-Maths-Syllabus-Singapore-2026-Guide
and https://eclatinstitute.sg/blog/ip-maths-tuition/IP-Maths-Names-Explained-Singapore-2026.

Keep the full topic sequence and practice sets in our H2 Maths Notes hub.

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 %

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, point-to-line/plane distances (no skew-line shortest distance)	Y3/Y4 2-D vectors
Complex Numbers	Cartesian form, quadratic roots, modulus/argument, conjugate, operations, Argand loci/transformations	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 (non-parametric)	Links to Paper 2 integration questions

Strand	Key targets	IP bridge
Probability	counting principles, permutations/combinations, conditional probability, Bayes, independence	Y2 basic probability
Discrete random variables	PMFs, expectation/variance, binomial $B(n,p)$ model (no discrete CDF)
Normal distribution	standardisation, symmetry, inverse normal, $E(aX+b)$ , $\operatorname{Var}(aX+bY)$ for independent variables (no normal approx to binomial)
Sampling	$\bar{X}$ as a random variable, CLT ideas, unbiased estimates from $\sum x$ , $\sum x^2$ or shifted sums (labelled “for teaching and learning only”)	Statistics WA tasks
Hypothesis testing	hypotheses $H_0/H_1$ , critical regions/values, p-values; tests for a population mean (normal with known variance, or large $n$ )	Appears first in Y4 IP
Correlation & regression	PMCC, regression line, $r^2$ , transformations (no hypothesis tests)

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 $≈ 30 \% \text{ of marks}$