For the mathematics portion, a total of 9 scores are generated: one covering the section as a whole and eight reflecting specific mathematical competencies.
Advanced Math
This domain covers more advanced mathematical concepts currently learned by students, starting with algebra applied as a general tool for formulating and solving equations. This area divides further into five subtopics.
A solid grasp of both real and complex number systems is essential. Students will demonstrate understanding and reasoning with diverse numerical forms, such as rational and integer exponents, vectors, and matrices.
Students will solve, graph, and model multiple categories of expressions. They will work extensively with linear, polynomial, radical, and exponential relationships. Additionally, candidates will solve systems of equations—including those framed as simple matrices—and apply these insights to practical situations.
This group of questions tests your knowledge of function definitions, notations, representations, and applications. Potential topics include linear, radical, piecewise, polynomial, and logarithmic functions. Test-takers will be expected to transform and translate functions while also identifying and utilizing key graph features.
Comprehend and apply knowledge of shapes and solids, such as similarity and congruence rules, alongside measurements for volume and surface area. Understand object composition and leverage trigonometric ratios and conic section equations to calculate missing components in circles, triangles, and other shapes.
Apply and evaluate methods for collecting data, interpret and model relationships shown in scatterplots, and calculate probabilities, including sample spaces.
Suggested: Colleges Accepting low ACT Scores
Combining Core Competencies
This part evaluates your ability to pull together and apply your knowledge and skills to more demanding problems. The questions address concepts like rates, percentages, proportional relationships, area, surface area, volume, means and medians, and alternative ways of expressing numbers. You will face challenges that ask you to link skills across sequential steps, adapt abilities to unfamiliar contexts, recognize connections, and exhibit overall mastery.
Modeling
Every question dealing with creating, analyzing, understanding, estimating, and refining models belongs in this category. Furthermore, each of these questions is also counted within the reporting categories mentioned previously. This area gauges how effectively you deploy modeling skills across various branches of mathematics.
Now that we have reviewed the necessary skills, ACT math rules, and scoring methods, we can dive right into our preparation.
Suggested: ACT Exam Pattern and Syllabus
Let us now explore several ACT math strategies to help guide your test preparation: