H2 Maths Syllabus 2026 (A-Level 9758 PDF Guide)

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13 Jul 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does H2 Maths Syllabus 2026 (A-Level 9758 PDF Guide) cover?
A: One reference page that dissects the Singapore-Cambridge GCE A-Level (H2) Maths syllabus (9758): exam structure, topic map, exclusions, and the official PDF reference.

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.

If you were searching for the official H2 Maths syllabus 2026 PDF, the SEAB file is linked below and summarised on this page so you can check the paper structure, topic list, and exclusions quickly before drilling into the notes.

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<br /> 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.

If you are looking for weekly small-group support rather than a self-study roadmap, see our H2 Maths tuition Singapore page for Paper 1 and Paper 2 pacing, graphing-calculator routines, and method-mark correction.

1 | Assessment Snapshot

Paper	Duration / Marks	Weight	Item blend
Paper 1	3 h / 100 marks

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)

H2 Maths Syllabus 2026 (A-Level 9758 PDF 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 $≈ 30 \% \text{ of marks}$