Is Probability and Statistics in Paper 1 or Paper 2?

All of Topic 6 (Probability & Statistics) appears exclusively in Paper 2 Section B, which is worth 60 marks. Paper 1 is Pure Mathematics only.

Is the Central Limit Theorem (CLT) directly examinable?

Sub-topic 6.4 Sampling is labelled “for teaching and learning only” in the official syllabus, so the CLT itself is not directly tested as a standalone question. However, the sample-mean distribution \\( \bar\{X\} \sim \mathcal\{N\}(\mu, \sigma^2/n) \\) is used inside 6.5 Hypothesis Testing, so you must understand the ideas.

Can I use the graphing calculator for all statistics questions?

Yes. SEAB allows GC use throughout Paper 2, and most mark schemes include GC commands as valid working. However, you must still write down the distribution model, show the key probability statement, and interpret the answer in context.

Is normal approximation to the binomial tested in 2026?

No. The 2026 H2 Maths syllabus explicitly excludes the normal approximation to the binomial distribution. Treat binomial and normal as completely separate models in your exam preparation. ---

H2 Maths Statistics Overview | Free Notes (Topic 6)

Study guide07 Oct 2025, 00:00 Z

Free H2 Maths notes on Probability & Statistics: key formulas, exam techniques, and step-by-step solutions for distributions, testing, and regression.

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Q: What does H2 Maths Statistics Notes: Probability & Statistics Overview cover?
A: Understand the H2 Maths statistics strand: counting, distributions, sampling, hypothesis tests, and regression, with pacing tips for promos and A-Levels.

How to use this guide
Section B supplies the statistical thinking that feeds subjects like Economics, Physics practicals, and university interviews. Use this roadmap to plan your sampling/hypothesis practice and to identify the exact MOE expectations before diving into the detailed notes.

Statistics is modelling uncertainty: Identify the random variable.
Each question has a model, condition, and conclusion: Check whether it is probability, distribution, sampling, testing, or regression.
Marks come from computation plus context: State what the number means in the scenario.

Concrete example: A hypothesis test answer is not finished after the p-value. You must say whether there is enough evidence, at the stated level, for the claim in the question context.

If you want weekly support on Paper 2 pacing, graphing-calculator routines, and method-mark working, see our H2 Maths tuition Singapore page.

Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Paper 1 is Pure Mathematics only (100 marks). Probability and Statistics is assessed in Paper 2 Section B (60 marks) across Topics 6.1-6.6, with key 2026 exclusions, including no normal approximation to binomial and no correlation hypothesis tests.

Model-choice checkpoint

Before using the graphing calculator, decide what kind of statistical question you are answering. Most errors in Section B start when the working uses the right command on the wrong model.

Question wording	First model choice	What to write before calculating	Common trap
"At least", "at most", "given that"	Probability rules or a named random variable.	Define the event or random variable clearly.

Reviewed by

Marcus Pang·Managing Director (Maths)

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SEAB H2 Mathematics (9758) Syllabus 2026

Sub-topic	Core competencies	Common pitfalls
6.1 Probability	Counting arguments, conditional probability, independence proofs	Mixing up mutually exclusive vs independent events; forgetting denominators in $P(A \mid B)$ .
6.2 Discrete random variables	Probability mass functions, expectation/variance, binomial $X \sim \operatorname{Bin}(n, p)$ model	Using incorrect parameters, neglecting scenario fit (e.g. independence assumptions).
6.3 Normal distribution	Standardisation, properties of $\mathcal{N}(\mu, \sigma^2)$ , linear combinations	Forgetting symmetry, mishandling variance scaling in $\operatorname{Var}(aX + bY)$ .
6.4 Sampling	$\bar{X}$ as a random variable, $E(\bar{X})$ , $\operatorname{Var}(\bar{X})$
6.5 Hypothesis testing	Formulating $H_0/H_1$ for a population mean, critical regions, $p$ -values	Swapping $H_0$
6.6 Correlation & regression	PMCC, least squares, transformations	Extrapolating beyond data range; interpreting correlation as causation; attempting excluded hypothesis tests.

H2 Maths Statistics Overview | Free Notes (Topic 6)

Model-choice checkpoint

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1 | Topic 6 Overview

2 | Sequencing Your Learning

3 | Modelling Toolkit

4 | Examination Strategy

5 | What to Review from IP/O-Level

Practice Quiz

6 | Next Steps

Frequently asked questions

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