100+ Free ILTS Mathematics (208) Practice Questions

Mathematical Practices, Technology, and Disciplinary Literacy (Subarea I)

Mathematical reasoning and the Standards for Mathematical Practice, problem-solving and argumentation, strategic use of technology such as graphing calculators and spreadsheets, formative assessment and error analysis, and disciplinary literacy including mathematical vocabulary, reading, and writing.

Number Systems and Operations (Subarea II)

Properties of the real number system and operations including closure and density, complex numbers and their arithmetic including modulus and powers of i, and foundations of linear algebra such as vectors, matrix operations, and determinants.

Functions and Algebra (Subarea III)

Algebraic techniques and translation of word situations, linear relations and systems, quadratic functions and conic sections, polynomial and rational functions including factoring and asymptotes, exponential and logarithmic functions and modeling, and trigonometric functions, identities, and equations.

Differential and Integral Calculus (Subarea IV)

Limits and continuity including limits at infinity, derivatives and rules such as the power, product, and chain rules, applications including tangent lines, velocity, and optimization, antiderivatives, definite integrals, and the Fundamental Theorem of Calculus.

Measurement and Geometry (Subarea V)

Measurement principles, unit and angle conversions, area, surface area, and volume of plane and solid figures, Euclidean geometry and deductive proof, similarity and congruence, and coordinate and transformational geometry including distance, midpoint, and reflections.

Statistics, Probability, and Discrete Mathematics (Subarea VI)

Data collection and sampling methods, measures of central tendency and variation, data representation and correlation, probability of simple, compound, and dependent events, expected value, set theory, logic, and counting strategies including permutations and combinations.