Pre-Algebra
Number operations, fractions, percents, simple statistics — about a fifth of the ACT Math section.
8 skill topics sit under Pre-Algebra on the ACT Math taxonomy. Each one has its own dedicated page with concept notes and six worked practice questions. Work through the list top to bottom, or jump straight to the topic you struggle with.
This category accounts for a meaningful slice of your overall math score, so spend the time. The fastest way to gain points is to convert one weak topic per week into a strong one — not to skim every topic at surface depth.
Need the formulas at a glance? See the Pre-Algebra formula sheet. Studying for a specific score range? Use the score-band guides to focus on the topics that move the needle for your current score.
All Pre-Algebra topics
Arithmetic Operations
Apply order of operations (PEMDAS) and combine signed numbers without slips.
Open topic
Fractions, Decimals and Percents
Convert fluently between the three representations and operate on each form.
Open topic
Integers and Absolute Value
Reason about the sign of a product, the meaning of |x| and ordering on a number line.
Open topic
Square Roots and Radicals
Simplify √(ab) = √a·√b, rationalise denominators and combine like radicals.
Open topic
Exponent Rules
Apply x^a · x^b = x^{a+b}, (x^a)^b = x^{ab} and x^{−a} = 1/x^a.
Open topic
Scientific Notation
Multiply, divide and compare numbers written as a × 10^n.
Open topic
Ratios and Proportions
Solve a/b = c/d by cross-multiplying and use unit-rate reasoning.
Open topic
Basic Statistics
Compute the mean, median, mode and range of a small data set.
Open topic
Recommended study order
If this category is brand new to you, start with the first three topics in the list above — they tend to be the most foundational. Then work outward to the others. If you're already comfortable, go straight to a recent past paper, identify which Pre-Algebra question you missed, and drill that specific topic page.
For broader test-prep advice, see our study tips. For real test reference, browse the ACT Math past paper index.