🔢 Numbers
Perfect Squares (11–50)
Instant recall of squares — the single biggest time-saver on the test.
Perfect Cubes (5–20)
5³ through 20³ — used in cube root problems and factoring.
Powers of 2 (2³–2¹⁰)
8 → 1024 — critical for logs, binary, and exponent problems.
Powers of 3 (3³–3⁷)
27 → 2187 — shows up in log and divisibility problems.
Powers of 5 (5³–5⁵)
125, 625, 3125 — tied to the ×25 and ×125 shortcuts.
Special Integer Tricks (999, 1001, 3367…)
Hidden factorizations that instantly collapse hard products.
½ Fractions
∑ Formulas
Sum of Series
Integers, odds, evens, cubes, arithmetic — all six series formulas.
Integral Divisors
Count and sum divisors from prime factorization — fast formula method.
Polygon Diagonals & Angles
n(n−3)/2 diagonals, 180(n−2) sum of angles — and exterior = 360/n.
Polygonal Numbers
Triangular, pentagonal, hexagonal, octagonal — one master formula.
Combinations & Permutations
ₙPᵣ and ₙCᵣ — know when to use each and how to compute fast.
Trig Values — Special Angles (Q1)
sin, cos, tan at 0°, 30°, 45°, 60°, 90° — from memory, instantly.
Trig in All Quadrants (ASTC)
Reference angles + sign rules — any angle, any function.
GCD & LCM
Euclidean algorithm + GCD×LCM = a×b relationship.