Cambridge International

Formula & data reference.

Formula-only quick reference for current CIE courses. These pages are separate from subject Notes and do not require an account.

9702 · 2025–2027

Physics data & formulae

The constants and formulae printed in Papers 1, 2 and 4, grouped for quick lookup.

Official syllabus ↗

Physical constants

QuantitySymbol & value
Acceleration of free fallg = 9.81 m s−2
Speed of lightc = 3.00 × 108 m s−1
Elementary chargee = 1.60 × 10−19 C
Unified atomic mass unit1 u = 1.66 × 10−27 kg
Proton rest massmp = 1.67 × 10−27 kg
Electron rest massme = 9.11 × 10−31 kg
Avogadro constantNA = 6.02 × 1023 mol−1
Molar gas constantR = 8.31 J K−1 mol−1
Boltzmann constantk = 1.38 × 10−23 J K−1
Gravitational constantG = 6.67 × 10−11 N m2 kg−2
Permittivity of free spaceε0 = 8.85 × 10−12 F m−1
Coulomb constant1/(4πε0) = 8.99 × 109 m F−1
Planck constanth = 6.63 × 10−34 J s
Stefan–Boltzmann constantσ = 5.67 × 10−8 W m−2 K−4

AS formulae · Papers 1 & 2

Uniform accelerations = ut + ½at²
Uniform accelerationv² = u² + 2as
Hydrostatic pressureΔp = ρgΔh
UpthrustF = ρgV
Doppler effectfₒ = fₛv/(v ± vₛ)
Electric currentI = Anvq
Series resistorsR = R₁ + R₂ + …
Parallel resistors1/R = 1/R₁ + 1/R₂ + …

A Level formulae · Paper 4

Gravitational potentialφ = −GM/r
Gravitational P.E.Eₚ = −GMm/r
Ideal gas pressurep = ⅓(Nm/V)⟨c²⟩
Simple harmonic motiona = −ω²x
SHM velocityv = v₀ cos ωt
SHM velocityv = ±ω√(x₀² − x²)
Electric potentialV = Q/(4πε₀r)
Electrical P.E.Eₚ = Qq/(4πε₀r)
Series capacitors1/C = 1/C₁ + 1/C₂ + …
Parallel capacitorsC = C₁ + C₂ + …
Capacitor dischargex = x₀e^(−t/RC)
Hall voltageVH = BI/(ntq)
Alternating currentx = x₀ sin ωt
Radioactive decayx = x₀e^(−λt)
Decay constantλ = 0.693/t½
Stefan–Boltzmann lawL = 4πσr²T⁴
Doppler redshiftΔλ/λ ≈ Δf/f ≈ v/c
9701 · 2025–2027

Chemistry reference data

Numerical constants and qualitative-analysis observations in one compact sheet.

Official course page ↗

For the current 2025–2027 syllabus, the former Chemistry Data Booklet is no longer issued with Papers 1, 2 and 4. Treat this as a revision reference, not a list of data guaranteed to be printed in the exam.

Useful numerical data

QuantityValue
Avogadro constant, NA6.02 × 1023 mol−1
Molar gas constant, R8.31 J K−1 mol−1
Faraday constant, F9.65 × 104 C mol−1
Ionic product of water, Kw1.00 × 10−14 mol2 dm−6 at 298 K
Molar gas volume at room conditions24.0 dm3 mol−1
Specific heat capacity of water4.18 J g−1 K−1

Common formulae

Amountn = m/M
Concentrationc = n/V
Ideal gaspV = nRT
Calorimetryq = mcΔT
Enthalpy per moleΔH = −q/n
pHpH = −log₁₀[H⁺]
Acid dissociationKₐ = [H⁺][A⁻]/[HA]
Gibbs energyΔG = ΔH − TΔS
ElectrolysisQ = It
Electrode potentialE°cell = E°right − E°left

Qualitative analysis: ions and gases

SpeciesTestPositive observation
NH4+Add aqueous NaOH; warmAmmonia evolved; damp red litmus turns blue
CO32−Add dilute acidEffervescence; CO2 turns limewater milky
Cl / Br / IAcidify with dilute HNO3, then add AgNO3White / cream / yellow precipitate
SO42−Acidify, then add aqueous Ba2+White precipitate
H2Apply a lighted splintSqueaky pop
O2Insert a glowing splintSplint relights
CO2Bubble through limewaterLimewater turns milky
NH3Use damp red litmusLitmus turns blue
9701 · chemistry reference

Periodic table

A separate quick-reference tab for element symbols and the group patterns used throughout CIE A Level Chemistry.

9701 course page ↗

The interactive table from the 9701 Chemistry notes. Select an element to view its atomic mass, group, period, electron configuration and common oxidation states.

Elements by period

PeriodElements
1H hydrogen · He helium
2Li lithium · Be beryllium · B boron · C carbon · N nitrogen · O oxygen · F fluorine · Ne neon
3Na sodium · Mg magnesium · Al aluminium · Si silicon · P phosphorus · S sulfur · Cl chlorine · Ar argon
4K potassium · Ca calcium · Sc scandium · Ti titanium · V vanadium · Cr chromium · Mn manganese · Fe iron · Co cobalt · Ni nickel · Cu copper · Zn zinc · Ga gallium · Ge germanium · As arsenic · Se selenium · Br bromine · Kr krypton
5Rb rubidium · Sr strontium · Y yttrium · Zr zirconium · Nb niobium · Mo molybdenum · Tc technetium · Ru ruthenium · Rh rhodium · Pd palladium · Ag silver · Cd cadmium · In indium · Sn tin · Sb antimony · Te tellurium · I iodine · Xe xenon
6Cs caesium · Ba barium · lanthanoids (La–Lu) · Hf hafnium · Ta tantalum · W tungsten · Re rhenium · Os osmium · Ir iridium · Pt platinum · Au gold · Hg mercury · Tl thallium · Pb lead · Bi bismuth · Po polonium · At astatine · Rn radon
7Fr francium · Ra radium · actinoids (Ac–Lr) · Rf rutherfordium · Db dubnium · Sg seaborgium · Bh bohrium · Hs hassium · Mt meitnerium · Ds darmstadtium · Rg roentgenium · Cn copernicium · Nh nihonium · Fl flerovium · Mc moscovium · Lv livermorium · Ts tennessine · Og oganesson

Exam-useful groups

GroupWhat to remember
2Be, Mg, Ca, Sr, Ba — outer-shell configuration ns²; hydroxide solubility increases down the group.
7 / 17F, Cl, Br, I — halogens; oxidising power decreases down the group, while halide ions become stronger reducing agents.
18He, Ne, Ar, Kr, Xe — noble gases; full outer shell and very low reactivity.
d-blockSc–Zn and related transition elements — variable oxidation states, coloured compounds and complex-ion chemistry are most exam-relevant.
9700 · 2025–2027

Biology mathematical formulae

The A Level formulae Cambridge states candidates will be given when needed, plus degrees-of-freedom formulae that must be known.

Official syllabus ↗

Ecology, genetics and statistics

Hardy–Weinbergp + q = 1
Hardy–Weinbergp² + 2pq + q² = 1
Lincoln indexN = (n₁ × n₂) / m₂
Simpson's diversityD = 1 − Σ(n/N)²
Chi-squaredχ² = Σ((O − E)²/E)
Sample standard deviations = √(Σ(x − x̄)²/(n − 1))
Standard errorSE = s/√n
95% confidence intervalx̄ ± (2 × SE)
Two-sample t-testt = (x̄₁ − x̄₂)/√(s₁²/n₁ + s₂²/n₂)
Pearson correlationr = Σ(x−x̄)(y−ȳ) / ((n−1)sₓsᵧ)
Spearman rankrₛ = 1 − 6ΣD²/(n³ − n)
χ² degrees of freedom · knowv = c − 1
t-test degrees of freedom · knowv = n₁ + n₂ − 2

Symbol key

SymbolMeaningSymbolMeaning
p, qAllele frequenciesnSample size or number of individuals of a type
n1Number captured first timen2Total captured second time
m2Marked individuals recapturedNEstimated population or total individuals
O, EObserved and expected valuesDDifference between paired ranks
9618 · Paper 2 · 2026

Cambridge pseudocode

Compact syntax reference for declarations, control structures, subroutines and file handling.

Official 2026 guide ↗

Variables, constants & arrays

DECLARE Score : INTEGER
DECLARE Average : REAL
DECLARE Name : STRING
DECLARE Initial : CHAR
DECLARE Found : BOOLEAN

CONSTANT MaxSize = 100
Score ← 0

DECLARE Names : ARRAY[1:30] OF STRING
DECLARE Grid : ARRAY[1:3, 1:3] OF CHAR
Grid[Row, Column] ← 'X'

Selection

IF Score >= 50 THEN
   OUTPUT "Pass"
ELSE
   OUTPUT "Try again"
ENDIF

CASE OF Choice
   1 : OUTPUT "One"
   2 : OUTPUT "Two"
   OTHERWISE : OUTPUT "Unknown"
ENDCASE

Iteration

FOR Index ← 1 TO 10
   OUTPUT Index
NEXT Index

WHILE Value <> 0
   INPUT Value
ENDWHILE

REPEAT
   INPUT Value
UNTIL Value = 0

Procedures & functions

PROCEDURE ShowTotal(BYVAL Total : INTEGER)
   OUTPUT Total
ENDPROCEDURE

CALL ShowTotal(Score)

PROCEDURE AddOne(BYREF Value : INTEGER)
   Value ← Value + 1
ENDPROCEDURE

FUNCTION Square(Value : REAL) RETURNS REAL
   RETURN Value * Value
ENDFUNCTION

Area ← Square(Length)

Operators & functions

TypeSyntax
Arithmetic+ − * / DIV MOD
Comparison= <> < <= > >=
BooleanAND OR NOT
StringsRIGHT, LENGTH, MID, LCASE, UCASE; join with &
NumbersINT(x), RAND(x)

Text file handling

OPENFILE "Data.txt" FOR READ
WHILE NOT EOF("Data.txt")
   READFILE "Data.txt", Line
   OUTPUT Line
ENDWHILE
CLOSEFILE "Data.txt"

OPENFILE "Data.txt" FOR APPEND
WRITEFILE "Data.txt", NewLine
CLOSEFILE "Data.txt"