ESAT
Topics
These topics cover the training scope of ESAT. Open a topic for study guidance and worked examples.
M1–M7: number and units, ratio, algebra, geometry, statistics and basic probability; no calculus.
MM1/MM4–MM7: algebra, exponentials and logarithms, basic trigonometry, differentiation and integration of rational power functions; the chain/product/quotient rules, complex numbers and matrices are not required.
MM2–MM4/MM8: sequences, binomial expansion of positive integers, coordinate geometry, basic trigonometry and graphs.
P3: one-dimensional motion, velocity and acceleration, Newton's laws, force and momentum; do not treat circular motion or two-dimensional projectile motion as required methods.
Work, kinetic and potential energy, power and efficiency, conservation of energy (optional Module 2)
Ohm's law, series and parallel circuits, electrical power, charge and current (optional Module 2)
Wave speed formula v=fλ, transverse and longitudinal waves, reflection and refraction, the electromagnetic spectrum (official P6)
α/β/γ radiation, penetration and ionisation, half-life, nuclear decay equations (official P7)
Specific heat capacity, latent heat and changes of state, heat transfer, density and pressure, the particle model of gases (official P4/P5)
Magnetic fields and magnetic poles, electromagnets, the motor effect F=BIL, electromagnetic induction and transformers (official P2)
C1/C6: atomic particles, shell configurations of the first 20 elements, ionic/covalent/metallic bonding; orbital configurations and molecular shape theory are not required.
C13: hydrocarbons, alcohols, carboxylic acids, esters and polymers; university-level reaction mechanisms are not required.
Chemical equilibrium, acids and bases and pH, thermochemistry, redox and rates (official C5/C9/C10/C11)
Relative molecular mass, moles and molar mass, stoichiometry, concentration and gas volume, empirical formula (official C4)
Electrolytes, reactions at the anode and cathode, electrolysis of molten salts and aqueous solutions, aluminium extraction and electroplating (official C12)
B1/B2/B3/B5/B8: cells, transport across membranes, cell division, genetic information and the basic action of enzymes.
Mendelian genetics, genotype and phenotype, natural selection, variation and speciation (official B4/B7)
B9/B11: the overall processes and limiting factors of human body systems, respiration and photosynthesis; molecular reaction pathways are not required.
Genetic engineering and transgenics, selective breeding, trophic levels and energy flow, carbon cycle (official B6/B10)