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🧪 Periodic Table of Elements (GCSE)
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12
C
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Carbon
Protons: 6
Electrons: 6
Neutrons: 6
Electron Shells: 2, 4
📐 Official Exam Reference Sheets
Energy & Power
Kinetic energyEk = ½ m v²
Gravitational potential energyEp = m g h
PowerP = E / t = W / t
EfficiencyEfficiency = Useful Output / Total Input
Elastic potential energyEe = ½ k e²
Electricity
Charge flowQ = I t
Potential differenceV = I R
Electrical powerP = V I = I² R
Energy transferredE = P t = Q V
Forces & Motion
WeightW = m g
Work doneW = F s
Hooke's LawF = k e
Newton's Second LawF = m a
Final velocity formulav² − u² = 2 a s
Momentump = m v
Waves & Thermal Physics
Wave speedv = f λ
Densityρ = m / V
Specific heat capacityΔE = m c Δθ
Specific latent heatE = m L
Algebra & Higher Tier
Quadratic formulax = (−b ± √(b² − 4ac)) / 2a
Compound interestTotal = P × (1 + r/100)ⁿ
Trigonometry & Geometry
Sine Rulea / sin(A) = b / sin(B) = c / sin(C)
Cosine Rulea² = b² + c² − 2bc cos(A)
Area of any triangleArea = ½ a b sin(C)
Pythagoras' Theorema² + b² = c²
3D Shapes: Volumes & Surface Areas
Sphere VolumeV = ⁴⁄₃ π r³
Sphere Surface AreaA = 4 π r²
Cone VolumeV = ⅓ π r² h
Cone Curved Surface AreaA = π r l
Cylinder VolumeV = π r² h
Physical Constants
Acceleration due to gravity (g)9.8 m/s² (Earth surface)
Speed of light (c)3.0 × 10⁸ m/s
Speed of sound in air≈ 330 m/s
Standard SI Multipliers & Prefixes
Mega- (M)× 10⁶ (1,000,000)
kilo- (k)× 10³ (1,000)
centi- (c)× 10⁻² (0.01)
milli- (m)× 10⁻³ (0.001)
micro- (μ)× 10⁻⁶ (0.000001)
nano- (n)× 10⁻⁹ (0.000000001)
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