Content Covered by the ACT Mathematics Test
In the ACT Mathematics Test, three subscores are based on six content areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.
Pre-Algebra/Elementary Algebra
- Pre-Algebra (23%). Questions in this content area are based on 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%). Questions in this content area are based on 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/Coordinate Geometry
- Intermediate Algebra (15%). Questions in this content area are based on an understanding of the 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%). Questions in this content area are based on 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/Trigonometry
- Plane Geometry (23%). Questions in this content area are based on the 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%). Questions in this content area are based on 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.
ACT Math Test Question Types(60 questions in 60 min.)
Math Questions (total of 60 questions) |
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Math Area |
Examples |
# of Questions |
Pre-Algebra |
Whole numbers, fractions, decimals, and integers; positive integer powers and square roots; ratio, proportion, and percent; multiples and factors; absolute value; one variable, linear equations; probability and counting problems; data interpretation; and mean, median, and mode |
14 questions |
Elementary Algebra |
Variables, polynomials, factoring, quadratic equations, linear inequalities, integer exponents, and square roots |
10 questions |
Intermediate Algebra |
Quadratic formula, radical and rational expressions, inequalities, absolute value, sequences, systems of equations, quadratic inequalities, functions, matrices, polynomial roots, and complex numbers |
9 questions |
Coordinate Geometry |
Number line graphs; graphs of points, lines, polynomials, circles, and other curves; relationships between equations and graphs; slope; properties of parallel and perpendicular lines; distance formula; midpoint formula; transformations; and conics |
9 questions |
Plane Geometry |
Plane figures (triangles, rectangles, parallelograms, trapezoids, circles); angles; parallel lines; perpendicular lines; translations, reflections, and rotations; 3-D geometry; perimeter, area, and volume; and logical reasoning and proofs |
14 questions |
Trigonometry |
Right triangle trigonometric ratios; trigonometric functions, identities, and equations; and trigonometric functions modeling |
4 questions |
*The content above is quoted and modified from www.act.org.