Enhanced ACT · Math, English, Reading & Science

ACT Practice Tests: Free ACT Math Practice Test & Subject Review

Choose ACT practice and review for English, Math, Reading, Science, or Writing. For Math, use the topic lessons, flashcards, and practice feedback to work on one weak skill at a time.

ACT Online Center — original handwritten comic illustration.

MEET THE TEST

Know the ACT before you start.

Explore the skills, open a subject Online Center, and build a test plan that fits your goals.

Your ACT planEnglish + Math + Reading

2 hr 5 minTesting time, before breaks

131Questions across 3 sections

Add Science or Writing below to see your total testing time.

CORE SECTION

English

35 minutes50 questions

Edit for clarity and correctness.

Grammar & punctuation
Sentence structure & word choice
Organization, purpose & style

Study tip

Read the whole sentence.

Check how an edit fits the passage’s meaning, tone, and grammar. The shortest answer works only when it is clear and complete.

Open English Online Center Visit the full English Online Center

CORE SECTION

Math

50 minutes45 questions

Solve problems and connect ideas.

Number & quantity, algebra
Functions & graphs
Geometry & measurement
Statistics & probability

Study tip

Choose a method before calculating.

Label what you know, identify what the question asks, and estimate when you can. Use your calculator to check a plan you understand.

Open Math review Visit the Math Online Center

CORE SECTION

Reading

40 minutes36 questions

Read closely and use evidence.

Main ideas & supporting details
Inference & evidence
Vocabulary in context
Text structure & paired passages

Study tip

Keep the evidence close.

Return to the relevant lines before choosing an answer. A reasonable idea still needs support from the passage.

Open Reading Online Center Visit the full Reading Online Center

Make the plan yours.

Select either optional section to update your plan. Neither affects your Composite.

OPTIONAL ADD-ON

Science

40 minutes40 questions

Make sense of scientific information.

Interpret graphs & tables
Analyze experiments
Compare scientific viewpoints

Study tip

Start with the data.

Read axis labels, units, and the legend. For experiments, identify what changed and what was measured before comparing results.

Open Science Online Center Visit the full Science Online Center

Include Science in my plan

OPTIONAL ADD-ON

Writing

40 minutes1 essay prompt

Develop a clear, supported argument.

Analyze different perspectives
Build & support your position
Organize and develop your essay

Study tip

Plan your position first.

Choose a clear position, consider another perspective, and outline your reasons and examples before writing the essay.

Open Writing Online Center Visit the full Writing Online Center

Include Writing in my plan

Test format checked October 5, 2026 against ACT’s official overview. Standard ACT time limits shown. Science and Writing are optional for national testing; school-day choices may depend on your school or district. See ACT’s official test details Prepared by the Effortless Math team. Editorial standards.

FIND YOUR FOCUS

One ACT. Five places to prepare.

Choose a subject to find its review and practice resources.

Core section

ACT English

Grammar, punctuation & clear writing

50 questions · 35 minutesOpen English Online Center Core section

ACT Math

Algebra, functions, geometry & data

45 questions · 50 minutesExplore Math resources Core section

ACT Reading

Main ideas, evidence & inference

36 questions · 40 minutesOpen Reading Online Center Optional section

ACT Science

Graphs, experiments & scientific reasoning

40 questions · 40 minutesOpen Science Online Center Optional section

ACT Writing

An organized argument with clear support

1 essay · 40 minutesOpen Writing Online Center

English, Math, and Reading form the ACT Composite score. Science and Writing are optional for national testing; school-day choices can depend on your school or district. Check the current ACT format ↗

QUICK ANSWERS

ACT questions, answered.

Understand the format, then choose your next study step.

What subjects are on the current ACT?

The ACT core sections are English, Math, and Reading. Science and Writing are optional additions for national testing. School-day testing choices can depend on your school or district.

ACT’s official test details ↗

How long is the ACT?

The core ACT has 131 questions and 125 minutes of testing time: English has 50 questions in 35 minutes, Math has 45 questions in 50 minutes, and Reading has 36 questions in 40 minutes. Science adds 40 questions and 40 minutes. Writing adds one essay prompt and 40 minutes. These totals exclude breaks and check-in.

ACT’s official test details ↗

Does Science or Writing affect the ACT Composite score?

No. The current ACT Composite score uses English, Math, and Reading. Optional Science and Writing results are reported separately. Check your college or program’s requirements before deciding which sections to take.

ACT’s official test details ↗

Where can I find free ACT practice and flashcards?

This ACT Online Center provides six free online ACT Math practice tests, Math lessons, printable resources, and flashcards. Its English, Reading, Science, and Writing Online Centers offer subject review and practice resources. Use the resource buttons above to open the tools in a popup.

Is this an official ACT website?

No. Effortless Math is an independent test-preparation publisher. Its practice questions, explanations, and study guides are preparation resources, and practice scores are study feedback rather than official ACT scores. For registration, test policies, and official practice, visit ACT.

ACT’s official test details ↗

GO DEEPER IN MATH

Your ACT Math practice & review library

Six online tests, topic lessons, printable practice, and worked examples. Choose the resource that matches your next step.

Free ACT Math Practice Test

Take a free, full-length ACT Math practice test in the enhanced format: 45 questions in 50 minutes, with a calculator allowed throughout. You get an instant 1–36 scaled score, step-by-step solutions and a topic breakdown, so you know exactly what to review next.

Take the free ACT Math practice test → More timed ACT Math tests ACT Math topics covered

ACT Math Practice Tests 2–6

Five additional ACT Math simulations, each with 45 questions, a 50-minute timer, an estimated score, topic feedback, and step-by-step explanations.

TEST 245 questions · 50 min

ACT Math Practice Test 2

A fresh full-length test covering ACT Math topics across the section.

45 questions
⏱ 50 min
Score + solutions

Start Test →

TEST 345 questions · 50 min

ACT Math Practice Test 3

Build pacing and accuracy with another complete timed simulation.

45 questions
⏱ 50 min
Score + solutions

Start Test →

TEST 445 questions · 50 min

ACT Math Practice Test 4

Use the topic breakdown to decide what deserves another review.

45 questions
⏱ 50 min
Score + solutions

Start Test →

TEST 545 questions · 50 min

ACT Math Practice Test 5

Practice moving between algebra, functions, geometry, and data questions.

45 questions
⏱ 50 min
Score + solutions

Start Test →

TEST 645 questions · 50 min

ACT Math Practice Test 6

Finish with a final timed set and review every uncertain answer.

45 questions
⏱ 50 min
Score + solutions

Start Test →

Scores on these independent practice tests are for study only; they are not ACT scores. ACT® is a registered trademark of ACT, Inc. This page is not sponsored or endorsed by ACT.

Free interactive practice

ACT Study Lab: Flashcards, Question of the Day and Study Plan

Short, active practice for the ACT: flip ACT Math flashcards for the formulas you must know without a formula sheet, learn the English rules behind punctuation and style questions, pick up Science reading tips, answer a new question every day and build a week-by-week plan for your test date.

60 math cards24 English rules10 Science tips

ACT Math flashcards

The formulas and facts you need with no formula sheet on test day, plus quick “solve it” problems and strategy, grouped by topic. Mark each card “Got it” or “Review again”; cards you miss collect in your review list.

Only cards to review

Keys: Space flip · ← → move · 1 review again · 2 got it

See all 60 cards as a list

What is the slope of the line through (x₁, y₁) and (x₂, y₂)?

m = (y₂ − y₁) / (x₂ − x₁). Example: through (2, 5) and (6, 13), m = 8/4 = 2.

In y = mx + b, what do m and b tell you?

m is the slope (change in y for each 1-unit increase in x). b is the y-intercept, the value of y when x = 0. In a word problem, b is usually the starting amount and m the rate.

How are the slopes of parallel and perpendicular lines related?

Parallel lines have equal slopes. Perpendicular slopes are negative reciprocals, so their product is −1. A line perpendicular to y = −(1/3)x + 2 has slope 3.

When does a system of two linear equations have no solution? Infinitely many?

No solution: same slope, different y-intercepts (parallel lines). Infinitely many: the equations describe the same line (one is a multiple of the other).

For what value of k does the system 2x + 3y = 6 and kx + 9y = 18 have infinitely many solutions?

k = 6. Multiplying the first equation by 3 gives 6x + 9y = 18, which must match the second equation exactly.

Solve 3(x − 4) = 2x + 5.

x = 17. Distribute: 3x − 12 = 2x + 5, then subtract 2x and add 12.

How do you find the slope of Ax + By = C?

Slope = −A/B. Example: 4x + 2y = 10 has slope −4/2 = −2. (Solve for y if you forget: y = −2x + 5.)

Solve the system x + y = 10 and x − y = 4.

Add the equations: 2x = 14, so x = 7 and y = 3.

A phone plan costs $25 plus $8 per month. What linear model fits, and what does 8 mean?

C = 25 + 8m, where m is months. The 8 is the slope: the cost increases by $8 for each additional month. The 25 is the cost when m = 0.

Solve |x − 3| < 5.

−5 < x − 3 < 5, so −2 < x < 8.

How do you graph y > 2x + 1?

Draw y = 2x + 1 as a dashed line (the line itself is not included) and shade above it. Use a solid line for ≥ or ≤.

What is the quadratic formula?

For ax² + bx + c = 0: x = (−b ± √(b² − 4ac)) / (2a).

What does the discriminant b² − 4ac tell you?

Positive: two real solutions. Zero: exactly one real solution. Negative: no real solutions. Example: x² + 4x + 7 = 0 has 16 − 28 < 0, so no real solutions.

Where is the vertex of y = a(x − h)² + k?

At (h, k). The parabola opens up if a > 0 and down if a < 0.

Find the vertex of y = x² − 6x + 5.

x = −b/(2a) = 6/2 = 3, and y = 9 − 18 + 5 = −4. Vertex: (3, −4).

For ax² + bx + c = 0, what are the sum and product of the solutions?

Sum = −b/a, product = c/a. For 2x² − 8x + 6 = 0: sum = 4, product = 3 (the solutions are 1 and 3).

How does a² − b² factor?

(a + b)(a − b). Example: x² − 49 = (x + 7)(x − 7).

Name three exponent rules you will use most.

x^a · x^b = x^a+b; (x^a)^b = x^ab; x^m/n = the nth root of x^m. Also x^−a = 1/x^a and x⁰ = 1 (x ≠ 0).

What are the exponential growth and decay models?

Growth: y = a(1 + r)^t. Decay: y = a(1 − r)^t. $500 growing 4% per year: 500(1.04)^t. The base tells you the rate: 0.85 means a 15% decrease each period.

If f(x) = 2x² − 3, what is f(−2)?

f(−2) = 2(4) − 3 = 5. Square first, then multiply.

If f(x) = x + 3 and g(x) = 2x, what is f(g(4))?

Work inside out: g(4) = 8, then f(8) = 11.

How does y = f(x − h) + k move the graph of f?

Right h units and up k units. y = −f(x) reflects across the x-axis; y = f(−x) reflects across the y-axis.

If p(3) = 0, what do you know about the polynomial p(x)?

3 is a zero (an x-intercept), and (x − 3) is a factor of p(x). More generally, the remainder when p(x) is divided by (x − a) equals p(a).

Solve x² − 5x − 14 = 0.

(x − 7)(x + 2) = 0, so x = 7 or x = −2.

Solve √(x + 7) = x − 5.

Square: x + 7 = x² − 10x + 25, so x² − 11x + 18 = 0 and x = 9 or x = 2. Check: x = 2 gives 3 = −3, which is false. Only x = 9 works.

How do you find percent change?

(new − old) / old × 100%. From 80 to 92: 12/80 = 15% increase.

A price rises 20% and then falls 20%. What is the overall change?

1.20 × 0.80 = 0.96, so the final price is 4% lower than the original. Percent changes multiply; they do not cancel.

Which is affected more by an outlier: the mean or the median?

The mean. One very large or small value pulls the mean toward it, while the median (the middle value) barely moves.

What does standard deviation measure?

How spread out the data are around the mean. A data set whose values cluster tightly near the mean has a smaller standard deviation.

How do you read a conditional probability from a two-way table?

Restrict to the given group first. P(A given B) = (number in both A and B) / (number in B). Watch the word “of” or “given” to find the right total.

Convert 60 miles per hour to feet per second (1 mile = 5,280 feet).

60 × 5,280 / 3,600 = 88 feet per second. Line up units so the ones you do not want cancel.

A recipe uses 3 cups of flour for 4 servings. How much flour for 10 servings?

3/4 = x/10, so x = 7.5 cups.

When can a survey result be generalized?

Only to the population the random sample was drawn from. A random sample of one school’s students supports conclusions about that school, not all teenagers. Random assignment (in an experiment) is what supports cause-and-effect claims.

How do you interpret the slope of a line of best fit?

It is the predicted change in y for each 1-unit increase in x, in the units of the problem. Example: slope 2.5 in a hours-vs-score plot means about 2.5 more points per extra hour.

The mean of five numbers is 12. Four of them are 10, 11, 14 and 15. What is the fifth?

Total = 5 × 12 = 60. The four known numbers add to 50, so the fifth is 10.

Area and circumference of a circle?

Area = πr²; circumference = 2πr. The ACT gives no formula sheet, so memorize these.

How do you find arc length and sector area from a central angle in degrees?

Arc length = (θ/360) × 2πr. Sector area = (θ/360) × πr². Radius 9, angle 40°: arc = 2π.

How do degrees and radians convert?

180° = π radians. Multiply degrees by π/180 to get radians. In radians, arc length is simply s = rθ.

Find the center and radius of x² + y² − 6x + 4y − 12 = 0.

Complete the square: (x − 3)² + (y + 2)² = 12 + 9 + 4 = 25. Center (3, −2), radius 5.

What are the side ratios of the special right triangles?

45-45-90: x, x, x√2. 30-60-90: x (opposite 30°), x√3 (opposite 60°), 2x (hypotenuse).

Which Pythagorean triples are worth memorizing?

3-4-5, 5-12-13, 8-15-17 and 7-24-25, plus their multiples (6-8-10, 9-12-15). a² + b² = c² covers everything else.

What do sine, cosine and tangent equal in a right triangle?

SOH-CAH-TOA: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.

How are sin x and cos(90° − x) related?

They are equal: sin x = cos(90° − x). So sin 30° = cos 60°. Questions often hide this in the two acute angles of a right triangle.

If two similar figures have a side ratio of k, how do their areas and volumes compare?

Areas scale by k² and volumes by k³. Doubling every side makes the area 4 times as large.

What is the sum of the interior angles of an n-sided polygon?

(n − 2) × 180°. A hexagon: 4 × 180° = 720°. A triangle’s angles always add to 180°.

Volumes of a cylinder, cone and sphere?

Cylinder πr²h; cone (1/3)πr²h; sphere (4/3)πr³. The ACT gives no formula sheet, so learn these by heart.

A right triangle has legs 6 and 8. What is the hypotenuse, and what is the sine of the angle opposite the side of length 6?

Hypotenuse = 10 (a 3-4-5 triangle doubled). sin = 6/10 = 0.6.

What does log_b x = y mean, and what are the main log rules?

It means b^y = x. Rules: log(MN) = log M + log N; log(M/N) = log M − log N; log(M^k) = k log M. Example: log₂ 32 = 5 because 2⁵ = 32.

What is the nth term of an arithmetic sequence? Of a geometric sequence?

Arithmetic: a_n = a₁ + (n − 1)d. Geometric: a_n = a₁ · rⁿ⁻¹. For 3, 7, 11, …, the 10th term is 3 + 9(4) = 39.

What are i, i², i³ and i⁴?

i = √(−1), i² = −1, i³ = −i, i⁴ = 1. The pattern repeats every 4 powers. (3 + 2i)(3 − 2i) = 9 + 4 = 13.

How do you count arrangements and selections?

Order matters (permutations): nPr = n!/(n − r)!. Order does not matter (combinations): nCr = n!/(r!(n − r)!). Choosing 2 of 5 people: 5C2 = 10.

How do you find the probability of two independent events both happening?

Multiply: P(A and B) = P(A) × P(B). Two coin flips both heads: 1/2 × 1/2 = 1/4. For “A or B” use P(A) + P(B) − P(A and B).

How do you add or multiply matrices?

Add matrices of the same size entry by entry. To multiply, the number of columns in the first must equal the number of rows in the second; each entry is a row-times-column sum.

What are the unit circle values for 30°, 45° and 60°?

sin 30° = 1/2, cos 30° = √3/2; sin 45° = cos 45° = √2/2; sin 60° = √3/2, cos 60° = 1/2. tan = sin/cos.

What are the distance and midpoint formulas?

Distance: √((x₂ − x₁)² + (y₂ − y₁)²). Midpoint: ((x₁ + x₂)/2, (y₁ + y₂)/2). From (1, 2) to (4, 6): distance 5, midpoint (2.5, 4).

What do the law of sines and the law of cosines do?

They solve triangles that are not right triangles. Sines: a/sin A = b/sin B = c/sin C. Cosines: c² = a² + b² − 2ab cos C.

How much time do you get per ACT Math question?

45 questions in 50 minutes, about 1 minute 7 seconds each. Do the quick ones first, mark long ones and return.

How many answer choices does each ACT Math question have, and should you guess?

Four choices on the current ACT. There is no penalty for wrong answers, so answer every question.

Is there a formula sheet or calculator on the ACT?

No formula sheet is provided. A permitted calculator is allowed on the Math test only, so check ACT’s calculator policy before test day.

When is plugging in the answers faster than algebra?

When the question asks for a single value and the choices are numbers. Start with a middle choice, test it in the equation and move up or down.

ACT English rules

The punctuation, grammar, transition and style rules behind ACT English questions, each with an example and a fix.

Only cards to review

Keys: Space flip · ← → move · 1 review again · 2 got it

See all 24 cards as a list

Can two complete sentences be joined with just a comma?

No, that is a comma splice. The bridge opened in 1937, it is still busy → use a period, a semicolon (1937; it) or a comma plus FANBOYS (1937, and it).

What does a semicolon do?

It joins two independent clauses that could each stand alone. The data were clear; the conclusion was not. Both sides of a semicolon must be complete sentences.

When can you use a colon?

After a complete sentence, to introduce a list, an explanation or an example. The recipe calls for three spices: cumin, coriander and paprika. The words before the colon must form a complete sentence.

How do you punctuate a nonessential element?

Set it off with a matching pair: two commas, two dashes or two parentheses. Never mix them. Ama Osei, who grew up in Accra, often writes about the coast.

When should an identifying phrase not have commas?

When it is essential to tell which one you mean. The student who scored highest won. Removing the clause would change the meaning, so no commas.

Can a comma separate a subject from its verb?

No. The results of the study, were surprising is wrong. Remove the comma: The results of the study were surprising.

Where does punctuation go with however?

Between two complete sentences, use a semicolon before and a comma after: The trial ended early; however, the data were useful. Inside one sentence, set it off with two commas.

Do you need a comma after an introductory clause?

Yes, usually. Although the storm weakened, the roads stayed closed.

How do you punctuate a list?

Commas between items, with the same grammatical form for each: to measure, to record and to compare, not to measure, recording and compare.

How do you check subject-verb agreement when a phrase sits in between?

Cross out the phrase and match the verb to the real subject. The collection of rare maps is displayed in the east wing. The subject is collection, not maps.

Is a team, company or committee singular or plural?

Singular in standard written English: The team is ready. The company released its report.

Its or it’s? Their, there or they’re?

it’s = it is; its = belonging to it. they’re = they are; their = belonging to them; there = a place. whose is possessive; who’s = who is.

How do you show plural possession?

Add the apostrophe after the s: the scientists’ findings (several scientists). One scientist: the scientist’s findings. Irregular plurals add ’s: the children’s books.

What is a dangling modifier?

An opening phrase whose doer is not the word right after the comma. Having studied the data for weeks, the conclusion seemed obvious is wrong; the conclusion did not study. Fix: Having studied the data for weeks, the analyst found the conclusion obvious.

How do you choose the right verb tense?

Look for time clues in the sentence and keep the tense consistent with them. Use past perfect (had finished) for an action completed before another past action.

Who or whom?

who is a subject (he/she); whom is an object (him/her). The author, whom the critics praised, spoke first. (The critics praised her.)

Fewer or less?

Fewer for things you can count (fewer errors), less for amounts you cannot count (less time).

Which transitions show contrast?

However, nevertheless, by contrast, on the other hand, still. Use them when the second idea goes against the first.

Which transitions show cause and effect?

Therefore, thus, consequently, as a result. The second sentence must be a result of the first.

Which transitions add or give an example?

Adding: moreover, furthermore, in addition, likewise. Example: for instance, for example, specifically.

What is the fastest way to answer a transition question?

Cover the choices, read the sentence before and the sentence with the blank, and name the relationship in your own words (contrast, cause, example, addition, sequence). Then pick the word that matches.

What does the test reward when two choices mean the same thing?

The concise one, as long as it is grammatical and keeps the meaning. postponed until a later time in the future → postponed.

How do you answer “Should the writer add (or delete) this sentence?”

Ask whether the sentence fits the paragraph’s focus. Keep it only if it supports that point; the reason in the answer must match what the sentence actually does.

When is NO CHANGE the right answer?

When the original is grammatical, clear and concise. It is correct about as often as any other choice, so do not avoid it on purpose.

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ACT Math Quick Review turns each skill into a clear explanation, a visual example, and a chance to practice. Start with one topic, then move through the ACT skill map at your own pace.

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9 topic groups · 96 ACT Math topics · worked examples

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Six ways into ACT Math

Each review begins with a visual explanation and ends with a chance to practice.

01 · NUMBER SENSE

Rational numbersUse signs, fractions, decimals, and place value with care.

02 · RATIOS & RATES

Proportions and percentCompare quantities and track the whole in percent problems.

03 · ALGEBRA

Expressions and equationsSimplify first, then solve one step at a time.

04 · FUNCTIONS

Lines and functionsConnect tables, graphs, and equations.

05 · GEOMETRY

Shapes and measurementLabel the figure and choose the matching formula.

06 · DATA

Statistics and probabilityRead displays closely and identify the requested value.

How it worksOne small step at a time

Read the ideaStart with a short, friendly explanation.

See it workFollow the picture and worked example.

Try it yourselfCheck your answer, then take the quiz.

Full-length tests50 interactive ACT Math book tests Printable full test45 questions, 50 minutes, worked answers Quick Review96 ACT Math topics with examples Study packFocused practice, formulas, and flashcards FlashcardsACT Math terms and formulas Formula sheetReview key ACT Math formulas Skill quizzes10-question topic checks WorksheetsPrintable practice by topic

Review, practice, then check your work. Choose one ACT Math topic, work through the Quick Review, then use the matching lesson or quiz to check the idea.

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50 Interactive ACT Math Practice Tests

You have 50 full-length ACT Math practice tests to work through. Each has 45 questions, a 50-minute timer, instant scoring, and answer explanations. Choose a test below.

Tests 1–10

Take Tests 1–10 online. Each interactive test includes a timer, instant scoring, and answer explanations. PDF downloads are below.

Tests 11–50

More full-length interactive tests for fresh practice. Open a group to choose your next test.

Tests 11–20

Tests 21–30

Tests 31–40

Tests 41–50

ACT Math Snapshot

45
questions on ACT Math

50
minutes for the Math section

80%
Preparing for Higher Math

20%
Integrating Essential Skills

ACT Math Test Outline

Use this skill map to find a topic family, then open a lesson, a practice set, or ACT Quick Review when you are ready.

ACT MATH · TOPIC GROUP 01

Number Sense and Rational Numbers

12 topics

Use number properties and rational numbers accurately in multi-step problems.

Topics covered

Comparing and Ordering Integers
Integers and Absolute Value
Adding and Subtracting Integers
Multiplying and Dividing Integers
Factors Multiples GCF and LCM
Adding and Subtracting Fractions
Multiplying Mixed Numbers
Multiplying and Dividing Fractions
Adding and Subtracting Decimals
Multiplying and Dividing Decimals
Converting Fractions Decimals and Percents
Real World Problems with Rational Numbers

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ACT MATH · TOPIC GROUP 02

Ratios, Percents, and Rates

13 topics

Compare quantities, convert units, and solve percent and rate problems.

Topics covered

Simplifying Ratios
Unit Rates
Proportional Ratios
Constant of Proportionality
Scale Drawings and Scale Factors
Converting Units of Measurement
Percent Problems
Finding the Whole from a Part and Percent
Percent of Increase and Decrease
Discount Tax and Tip
Simple Interest
Compound Interest
Tips Commissions and Fees

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ACT MATH · TOPIC GROUP 03

Exponents, Radicals, and Scientific Notation

8 topics

Work with powers, roots, rational numbers, and scientific notation.

Topics covered

Multiplication Property of Exponents
Division Property of Exponents
Zero and Negative Exponents
Negative Exponents and Negative Bases
Radicals
Rational and Irrational Numbers
Scientific Notation
Operations with Scientific Notation

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ACT MATH · TOPIC GROUP 04

Expressions, Equations, and Inequalities

14 topics

Simplify expressions, solve equations, and interpret inequalities.

Topics covered

When an Expression Is Undefined
Evaluating One Variable
Evaluating Two Variables
Simplifying Variable Expressions
The Distributive Property
One Step Equations
Solving Two Step Equations
Multi Step Equations
Equations with Variables on Both Sides
Literal Equations and Formulas
One Step Inequalities
Multi Step Inequalities
Compound Inequalities
Graphing Linear Inequalities

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ACT MATH · TOPIC GROUP 05

Coordinate Geometry and Lines

10 topics

Use the coordinate plane, slope, line equations, and systems.

Topics covered

The Coordinate Plane
Finding Slope
Graphing Lines
Point Slope Form
Standard Form of a Linear Equation
Writing Linear Equations
Parallel and Perpendicular Lines
Systems of Equations
Finding Midpoint
Finding Distance of Two Points

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ACT MATH · TOPIC GROUP 06

Functions

6 topics

Read function notation, compare functions, and interpret graphs.

Topics covered

Relations and Functions
Function Notation
Domain and Range
Linear vs Nonlinear Functions
Comparing Functions
Interpreting Graphs of Functions

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ACT MATH · TOPIC GROUP 07

Polynomials and Quadratics

10 topics

Factor, simplify, and solve polynomial and quadratic problems.

Topics covered

Adding and Subtracting Polynomials
Simplifying Polynomials
Multiplying Binomials
Special Products of Polynomials
Factoring with the Greatest Common Factor
Factoring Trinomials
Solving Quadratic Equations by Factoring
The Quadratic Formula
Graphing Quadratic Functions
Rational Expressions

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ACT MATH · TOPIC GROUP 08

Geometry and Measurement

14 topics

Use angle relationships, shape properties, measurement, and formulas.

Topics covered

Complementary and Supplementary Angles
Parallel Lines and Transversals
Triangles
Similarity and Ratios
Area of Triangles
Area and Perimeter of Quadrilaterals
Polygons
Circles
Area and Perimeter of Composite Figures
Rectangular Prisms
Cubes
Cylinder
Surface Area of Solids
Volume and Surface Area of Composite Solids

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ACT MATH · TOPIC GROUP 09

Data, Statistics, and Probability

9 topics

Interpret data displays, describe distributions, and reason about probability.

Topics covered

Weighted Averages and Missing Data Values
Box Plots and Interquartile Range
Histograms and Data Displays
Pie Graph
Scatter Plots and Lines of Best Fit
Two Way Frequency Tables
Probability Problems
Probability of Compound Events
Permutations and Combinations

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Free online review with a print option

Free ACT Math Formula Review

Review 50 formulas and key relationships, check when to use them, and practice with three worked examples.

Open the Formula Review

Use the review’s Print option for a paper copy or choose Save as PDF in your browser’s print dialog. This is a multi-page review, not a separate one-page download.

Number RulesReview percents, exponents, and radicals.›
AlgebraCheck equations, functions, and sequences.›
Coordinate GeometryReview slope, distance, and line equations.›
Geometry & TrigonometryCheck area, volume, and triangle relationships.›
Statistics & ProbabilityReview averages and probability rules.›
Worked ExamplesApply formulas and check common mistakes.›

ACT Math Skill Quizzes

Choose a skill, answer 10 questions, and review your score and step-by-step solutions. Each quiz opens here in a popup.

Quick checks for the skills the ACT test measures most.Built from the Grade 7 and Algebra 1 math skills that match ACT Math foundations.

QUIZ10 questions

Ratios & Proportional Reasoning

Unit rates, proportions, and real-world comparisons.

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Percents & Financial Math

Percent change, discounts, interest, and money math.

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Solving Linear Equations

One-step to multi-step equations and literal equations.

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Linear Functions & Graphs

Slope, intercepts, and writing the equation of a line.

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Systems of Equations & Inequalities

Substitution, elimination, and matching graphs to solutions.

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Exponents & Polynomials

Exponent rules and polynomial operations.

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Quadratic Functions & Equations

Factoring, the quadratic formula, and parabola graphs.

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Functions

Function notation, evaluating functions, and function operations.

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QUIZ10 questions

Geometry & Measurement

Area, volume, and measurement formulas.

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QUIZ10 questions

Statistics & Probability

Centers, spreads, charts, and probability.

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ACT Math Topics: Learn, Practice, and Quiz

Choose an ACT topic, open its worksheet for printable practice, then take a short quiz from the same row.

96 topics · worksheets · quizzes

ACT Math Quick Review

Functions

A group of 2 with mean 60 and a group of 8 with mean 80 have combined mean (2 × 60 + 8 × 80)/10 = 76.

Review the matching topic →

Best starting study guide

ACT Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the ACT Math Test

Start with one lesson. ACT Math for Beginners walks through the method and worked examples before you try the practice problems, so you can revisit the step that gave you trouble.

Best first book for students who need structure
Step-by-step lessons before mixed practice
Pairs naturally with the free guides and topic lessons on this online center
Use the online practice tests to check your progress

View the book $17.99 · PDF
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Start from the basics

The book rebuilds the topic sequence before asking students to move into timed practice.

Use worked examples

Students can see the move, copy the method, then try similar problems on their own.

Drill one skill at a time

The structure supports focused practice instead of scattered review.

Move into confidence practice

After the book path, the online center connects students to worksheets, flashcards, and test-style questions.

How to use it

Read one short lesson.
Copy the worked example.
Practice the matching skill from this online center.
Return to mixed or timed practice after the skill feels stable.

Pair it with free tools

Choose The Right ACT Math Book

Use a study guide when you need explanations; choose a workbook when you need more practice with individual topics. The two options below make those starting points easy to compare.

ACT Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the ACT Math Test

Need step-by-step explanations?

Start with explanations and worked examples when the basics feel rusty.

Are there free resources on this page?

Yes. The online center links to free Effortless Math resources such as Enhanced ACT Math Practice Test PDF, ACT Math Flashcards, Enhanced ACT Math 2026.

Which ACT Math skills matter most?

The highest-value areas include Pre-algebra fluency and essential skills; Algebra, equations, inequalities, and systems; Functions, graph interpretation, and modeling. Use the skill map as a checklist rather than trying to study everything at once.

When should I use a book or workbook?

Use a book when the student needs a structured sequence, repeated practice, or a printed path that is easier to follow than scattered online links.

Related Online Centers

Make This Your ACT Math Starting Point

Bookmark this online center, choose one weak area, and use the linked practice pages and books to move from scattered review to a clear study path.

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ACT Practice Tests: Free ACT Math Practice Test & Subject Review

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ACT Math for Beginners 2026

ACT Math Practice Workbook 2026

Free ACT Math Practice Test

ACT Math Practice Tests 2–6

ACT Math Practice Test 2

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ACT Study Lab: Flashcards, Question of the Day and Study Plan

ACT Math flashcards

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See it. Understand it. Try it.

Six ways into ACT Math

Join students who study with a clearer path

50 Interactive ACT Math Practice Tests

Tests 1–10

Tests 11–50

ACT Math Snapshot

ACT Math Test Outline

Number Sense and Rational Numbers

Ratios, Percents, and Rates

Exponents, Radicals, and Scientific Notation

Expressions, Equations, and Inequalities

Coordinate Geometry and Lines

Functions

Polynomials and Quadratics

Geometry and Measurement

Data, Statistics, and Probability

Free ACT Math Formula Review

ACT Math Skill Quizzes

Ratios & Proportional Reasoning

Percents & Financial Math

Solving Linear Equations

Linear Functions & Graphs

Systems of Equations & Inequalities

Exponents & Polynomials

Quadratic Functions & Equations

Functions

Geometry & Measurement

Statistics & Probability

ACT Math Topics: Learn, Practice, and Quiz

ACT Math Quick Review

Number Sense and Rational Numbers

Ratios, Percents, and Rates

Exponents, Radicals, and Scientific Notation

Expressions, Equations, and Inequalities

Coordinate Geometry and Lines

Functions

Polynomials and Quadratics

Geometry and Measurement

Data, Statistics, and Probability

ACT Math Mistakes to Watch For

Signs and fraction operations

Distribution and equations

Inputs and outputs

Area, perimeter, and height

Averages and group sizes

ACT Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the ACT Math Test

Start from the basics

Use worked examples

Drill one skill at a time

Move into confidence practice

How to use it

Pair it with free tools