Philip Martin McCaulay

TM Hog's Practice Exams for the ACT* Mathematics Test Philip Martin McCaulay

TM Hog's Practice Exams for the ACT* Mathematics Test contains four complete 60-question, 60-minute sample tests for a total of 240 practice questions with answers and explanations designed to measure the mathematical skills students have typically acquired in courses taken by the end of 11th grade.

Pre-Algebra (23%): basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics

Elementary Algebra (17%): properties of exponents and square roots, evaluation of algebraic expressions through substitution, using variables to express functional relationships, understanding algebraic operations, and the solution of quadratic equations by factoring

Intermediate Algebra (15%): quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers

Coordinate Geometry (15%): graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics

Plane Geometry (23%): properties and relations of plane figures, including angles and relations among perpendicular and parallel lines; properties of circles, triangles, rectangles, parallelograms, and trapezoids; transformations; the concept of proof and proof techniques; volume; and applications of geometry to three dimensions

Trigonometry (7%): understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations