SAT, AP, AMC & Math Competition Resources — PDF Archive
Free textbooks with concepts, worked examples, and practice problems with solutions.
Number sets, absolute value, integer operations, PEMDAS
LCM, GCF, fraction operations, decimal conversions
Unit rates, cross multiplication, scale, direct variation
Percent change, discount, tax, simple interest
Algebraic expressions, properties, combining like terms
One-step, two-step equations; solving inequalities
Area, perimeter, volume, Pythagorean theorem
Mean, median, mode; graphs; probability rules
Slope, equations, 2×2 and 3×3 systems, inequalities
Vertex form, factoring, quadratic formula, discriminant
End behavior, division, factor theorem, zeros
Simplifying, operations, equations, work problems
Rational exponents, radical equations, i = √(-1)
Growth/decay, log properties, compound interest
Unit circle, graphing sin/cos/tan, inverse trig
Arithmetic, geometric, sigma notation, sums
Counting, permutations, combinations, binomial
Circles, ellipses, parabolas, hyperbolas
Domain, range, transformations, composition
Zeros, end behavior, factoring, graphing
Asymptotes, holes, graphing rational expressions
Exp growth/decay, log properties, equations
Unit circle, graphs, amplitude, period, phase
Pythagorean, double-angle, solving trig equations
Vector operations, polar graphs, conversions
Circles, ellipses, parabolas, hyperbolas
Arithmetic, geometric, summation notation
Limits preview, rates of change, area under curves
Limit evaluation, Squeeze Theorem, IVT
Power, product, quotient, trig & exponential
Composite, implicit & inverse derivatives
Related rates, optimization, MVT
First/second derivative tests, concavity, L'Hôpital's Rule
Antiderivatives, Riemann sums, u-substitution
By parts, partial fractions, improper integrals
Area, volumes of revolution, cross sections
Slope fields, Euler's method, separation of variables
Parametric curves, polar area, vectors
Convergence tests, Taylor series, error bounds
40+ released exams & official practice tests (2017–2023)
AvailableReleased tests (2015–2020) & official practice tests
AvailableAB & BC — FRQ and scoring guidelines by year
AvailableFRQ and scoring guidelines by year
AvailableCSA & CSP — Past exams and practice materials
AvailableMath competition archive — AMC 8/10/12, AIME, USAJMO & USAMO
AvailableSAT & AP study guides, AMC problem walkthroughs & weekly math news
AP exam dates · SAT prep · AMC contest news · New study guides