Mechanics is a core part of A-Level Maths. Revise the key concepts and common mistakes below, then lock them in with the free games.
Newton's first lawA body remains at rest or moves with constant velocity unless acted on by a resultant force.
Newton's second lawF = ma. Resultant force on a body equals mass times acceleration. Vector equation.
Newton's third lawEvery action has an equal and opposite reaction. Forces come in pairs on different bodies.
Weight & massMass m is amount of matter (kg). Weight W = mg (newtons). On Earth, g ≈ 9.8 N/kg.
FrictionF ≤ μR (where R = normal reaction, μ = coefficient of friction). Limiting friction reached when motion impending.
Resolving forcesSplit forces into perpendicular components (e.g., horizontal/vertical or along/perpendicular to inclined plane).
Place valueThe value of a digit depends on its position.
Integers & negativesWhole numbers including negatives; rules for + − × ÷.
Primes & factorsPrime numbers, factors, multiples, HCF and LCM.
Order of operationsBIDMAS: brackets, indices, division/multiplication, addition/subtraction.
Rounding & estimationRounding to decimal places or significant figures.
Standard formWriting very large or small numbers as A × 10ⁿ.
SUVAT variabless = displacement, u = initial velocity, v = final velocity, a = acceleration, t = time.
v = u +Final velocity after time t under constant acceleration.
Questions where students often pick the tempting wrong answer — make sure you know the right one: