Formulae

Given in the booklet, or memorise it?

Every Edexcel Maths exam comes with the Mathematical Formulae and Statistical Tablesbooklet — but the specification’s Appendix 1 lists the formulae that are deliberately NOT in it. Knowing which is which saves marks and revision time. Here is the split, topic by topic, in our own words; the authoritative sources are the booklet and specification themselves at qualifications.pearson.com. Topics with no entry simply have no formulae worth flagging either way.

Given in the bookletMust memorise (Appendix 1)

Pure Mathematics

Pure Topic 2 · Algebra and functions

2.1 Laws of indicesAS
Must memorise: All index laws (Appendix 1 — not in booklet).
2.3 Quadratic functionsAS
Must memorise: Quadratic formula (not in booklet).

Pure Topic 3 · Coordinate geometry in the (x, y) plane

3.1 Straight linesAS
Must memorise: y−y₁=m(x−x₁); m₁m₂=−1 for perpendicular lines.
3.2 CirclesAS
Must memorise: Equation of a circle (not in booklet); C=2πr, A=πr².

Pure Topic 4 · Sequences and series

4.1 Binomial expansion (positive integer n)AS
Given in the booklet: (a+b)ⁿ expansion with nCr coefficients is given.
4.1 Binomial series (rational n)A2
Given in the booklet: (1+x)ⁿ infinite series for |x|<1, n∈ℝ is given.
4.4 Arithmetic sequences and seriesA2
Given in the booklet: Sₙ=½n(a+l)=½n[2a+(n−1)d] given.
Must memorise: nth term uₙ=a+(n−1)d (sums given, nth terms are NOT).
4.5 Geometric sequences and seriesA2
Given in the booklet: Sₙ=a(1−rⁿ)/(1−r) and S∞=a/(1−r) given.
Must memorise: nth term uₙ=arⁿ⁻¹.

Pure Topic 5 · Trigonometry

5.1 Sine and cosine rulesAS
Must memorise: Sine rule, cosine rule, area ½ab sinC (Appendix 1).
5.1 Radians, arcs and sectorsA2
Must memorise: s=rθ and A=½r²θ (not in booklet).
5.2 Small angle approximationsA2
Given in the booklet: Small-angle approximations are given.
5.5 tan = sin/cos and sin² + cos² = 1AS
Must memorise: Both identities (Appendix 1).
5.5 sec² = 1 + tan² and cosec² = 1 + cot²A2
Must memorise: Both identities (Appendix 1).
5.6 Compound/double angles and R-formA2
Given in the booklet: sin(A±B), cos(A±B), tan(A±B) and sums-to-products are given.
Must memorise: Double angles sin 2A, cos 2A (all three forms), tan 2A; the R-form itself is not in the booklet.

Pure Topic 6 · Exponentials and logarithms

6.3 Logarithms as inversesAS
Must memorise: x = aⁿ ⇔ n = log_a x.
6.4 Laws of logarithmsAS
Given in the booklet: Change of base and e^(x ln a)=aˣ are given.
Must memorise: All log laws (Appendix 1).

Pure Topic 7 · Differentiation

7.1 Derivative concept and first principlesAS
Given in the booklet: The first-principles limit definition is given.
7.2 Differentiating xⁿAS
Must memorise: d/dx xⁿ = nxⁿ⁻¹.
7.2 Standard derivativesA2
Given in the booklet: Derivatives of tan kx, sec kx, cot kx, cosec kx are given.
Must memorise: Derivatives of sin kx, cos kx, e^(kx), ln x.
7.4 Product, quotient and chain rulesA2
Given in the booklet: Quotient rule is given.
Must memorise: Product and chain rules.

Pure Topic 8 · Integration

8.2 Integrating xⁿAS
Must memorise: ∫xⁿ dx = xⁿ⁺¹/(n+1) + c.
8.2 Standard integralsA2
Given in the booklet: ∫sec²kx, ∫tan kx, ∫cot kx, ∫cosec kx, ∫sec kx are given.
Must memorise: ∫cos kx, ∫sin kx, ∫e^(kx), ∫1/x.
8.3 Definite integrals and areaAS
Must memorise: Area under curve = ∫y dx.
8.5 Substitution and by partsA2
Given in the booklet: Integration-by-parts formula is given.

Pure Topic 9 · Numerical methods

9.3 Newton-RaphsonA2
Given in the booklet: Newton-Raphson formula is given.
9.4 Trapezium ruleA2
Given in the booklet: Trapezium rule is given.

Pure Topic 10 · Vectors

10.2 Magnitude and directionAS
Must memorise: |xi+yj+zk| = √(x²+y²+z²).

Statistics

Paper 3 Section A, Topic 2 · Data presentation and interpretation

2.3 Location and spreadAS
Given in the booklet: Sxx = Σx² − (Σx)²/n and sd formulae are given.
Must memorise: Mean formulae (Σx/n, Σfx/Σf).

Paper 3 Section A, Topic 3 · Probability

3.1 Mutually exclusive and independent eventsAS
Given in the booklet: P(A′)=1−P(A), addition and multiplication rules are given.
3.2 Conditional probabilityA2
Given in the booklet: Full conditional-probability and addition/multiplication formulae are given.

Paper 3 Section A, Topic 4 · Statistical distributions

4.1 Discrete distributions and binomialAS
Given in the booklet: B(n,p) pmf with mean np and variance np(1−p); Binomial CDF tables (n ≤ 50).
4.2 Normal distributionA2
Given in the booklet: Percentage Points of the Normal Distribution table.
Must memorise: Z = (X−µ)/σ (not in booklet).

Paper 3 Section A, Topic 5 · Statistical hypothesis testing

5.1 Correlation test (PMCC)A2
Given in the booklet: Critical Values for Correlation Coefficients (PMCC) tables are given.
5.3 Test for a Normal meanA2
Given in the booklet: (X̄−µ)/(σ/√n) ~ N(0,1) sampling-distribution result is given.

Mechanics

Paper 3 Section B, Topic 7 · Kinematics

7.3 suvat (constant acceleration, 1D)AS
Given in the booklet: All five suvat equations are given (derivations still examinable).
7.4 Calculus in kinematics (1D)AS
Must memorise: v=dr/dt, a=dv/dt, r=∫v dt, v=∫a dt (Appendix 1).

Paper 3 Section B, Topic 8 · Forces and Newton's laws

8.2 Newton's second law F = maAS
Must memorise: F = ma (Appendix 1).
8.3 Weight and gravityAS
Must memorise: W = mg.
8.6 FrictionA2
Must memorise: F ≤ µR (Appendix 1).

Original questions written for the Pearson Edexcel A Level Mathematics (9MA0) specification. Not affiliated with or endorsed by Pearson.