Czech Maturita Math cheat sheet
Czech Maturita Math · Keep the key ideas within reach.
Algebra and Functions
State domain restrictions before simplifying; cancelled factors still exclude values.
Composition f(g(x)) is evaluated inside-out and is generally not commutative.
Inverses require one-to-one functions; domain and range swap.
Horizontal transformations act opposite to the sign or factor shown.
Log laws convert sums to products, enabling solution of log equations.
Always check candidate solutions against original domain restrictions.
Geometry and Trigonometry
Similarity scales lengths by k, areas by k², volumes by k³.
Inscribed angle equals half the intercepted central arc.
Sine law requires a known side–opposite-angle pair; watch the ambiguous case.
Cosine law handles SAS and SSS configurations.
Arc length and sector area formulas require radians.
Pythagorean identity sin²θ + cos²θ = 1 underpins most simplifications.
Statistics and Probability
Median resists outliers; mean does not.
P(A ∪ B) subtracts the intersection to avoid double counting.
Conditional probability divides the joint probability by the condition's probability.
Combinations count selections; permutations count arrangements.
z = (x − μ)/σ places a value on the standard normal scale.
Random assignment, not random sampling alone, supports causal conclusions.