# Free ACT Math Practice Tests

### All ACT Math Resources

## Practice Tests by Concept

### How to solve for a variable as part of a fraction practice test

**Average Time Spent**: 3 mins

### How to find the domain of a function practice test

**Average Time Spent**: 2 mins 44 secs

### How to use the quadratic function practice test

**Average Time Spent**: 2 mins 58 secs

### How to graph a quadratic function practice test

**Average Time Spent**: 1 mins 28 secs

### How to find the length of a line with distance formula practice test

**Average Time Spent**: 17 mins

### How to find the endpoints of a line segment practice test

**Average Time Spent**: 1 mins 26 secs

### How to find the midpoint of a line segment practice test

**Average Time Spent**: 6 mins

### How to find out if a point is on a line with an equation practice test

**Average Time Spent**: 3 mins

### How to find out if lines are parallel practice test

**Average Time Spent**: 1 mins 21 secs

### How to find the equation of a parallel line practice test

**Average Time Spent**: 7 mins

### How to find out if lines are perpendicular practice test

**Average Time Spent**: 31 secs

### How to find the equation of a perpendicular line practice test

**Average Time Spent**: 7 mins

### How to find the slope of a perpendicular line practice test

**Average Time Spent**: 10 mins

### How to find transformation for an analytic geometry equation practice test

**Average Time Spent**: 1 mins 39 secs

### How to use foil with the distributive property practice test

**Average Time Spent**: 11 mins

### How to use the grid method for foil practice test

**Average Time Spent**: 1 mins 12 secs

### How to find the solution to an inequality with addition practice test

**Average Time Spent**: 1 mins 9 secs

### How to find the solution to an inequality with division practice test

**Average Time Spent**: 2 mins 50 secs

### How to find the solution to an inequality with multiplication practice test

**Average Time Spent**: 2 mins 18 secs

### How to find the solution to an inequality with subtraction practice test

**Average Time Spent**: 1 mins 23 secs

### How to find out when an equation has no solution practice test

**Average Time Spent**: 41 secs

### How to factor the quadratic equation practice test

**Average Time Spent**: 1 mins 26 secs

### How to find the solution to a quadratic equation practice test

**Average Time Spent**: 17 mins

### How to find the solution for a system of equations practice test

**Average Time Spent**: 26 mins

### How to find an exponent from a rational number practice test

**Average Time Spent**: 26 secs

### Exponents and the distributive property practice test

**Average Time Spent**: 2 mins 58 secs

### How to evaluate rational expressions practice test

**Average Time Spent**: 1 mins 5 secs

### How to use the direct variation formula practice test

**Average Time Spent**: 1 mins 40 secs

### How to multiply a monomial by a polynomial practice test

**Average Time Spent**: 17 secs

### How to multiply binomials with the distributive property practice test

**Average Time Spent**: 27 secs

### How to find the value of the coefficient practice test

**Average Time Spent**: 51 secs

### How to find the square of an integer practice test

**Average Time Spent**: 2 mins 19 secs

### How to find the decimal equivalent of a fraction practice test

**Average Time Spent**: 1 mins 11 secs

### How to order decimals from least to greatest or from greatest to least practice test

**Average Time Spent**: 1 mins 8 secs

### How to convert decimals to scientific notation practice test

**Average Time Spent**: 3 mins

### How to find a solution to a compound fraction practice test

**Average Time Spent**: 58 secs

### How to find the amount of rational numbers between two numbers practice test

**Average Time Spent**: 42 secs

### How to find the lowest / least common denominator practice test

**Average Time Spent**: 2 mins 53 secs

### How to find out a mixed fraction from an improper fraction practice test

**Average Time Spent**: 1 mins 0 secs

### How to order fractions from least to greatest or from greatest to least practice test

**Average Time Spent**: 49 secs

### How to find the reciprocal of a fraction practice test

**Average Time Spent**: 1 mins 14 secs

### How to find the part from the whole with fractions practice test

**Average Time Spent**: 1 mins 44 secs

### How to find the number of integers between two other integers practice test

**Average Time Spent**: 2 mins 7 secs

### How to find the least common multiple practice test

**Average Time Spent**: 1 mins 35 secs

### How to find value with a number line practice test

**Average Time Spent**: 2 mins 45 secs

### How to find the greatest or least number of combinations practice test

**Average Time Spent**: 10 mins

### How to find the next term in an arithmetic sequence practice test

**Average Time Spent**: 16 secs

### How to find the nth term of an arithmetic sequence practice test

**Average Time Spent**: 3 mins

### How to find the answer to an arithmetic sequence practice test

**Average Time Spent**: 33 secs

### How to find the common difference in sequences practice test

**Average Time Spent**: 19 secs

### How to find decimal equivalent to a percentage practice test

**Average Time Spent**: 57 secs

### How to find a fraction from a percentage practice test

**Average Time Spent**: 1 mins 32 secs

### How to find percentage from a fraction practice test

**Average Time Spent**: 2 mins 17 secs

### How to find the percent of decrease practice test

**Average Time Spent**: 2 mins 20 secs

### How to find the amount of sales tax practice test

**Average Time Spent**: 2 mins 58 secs

### How to find the part from the whole with percentage practice test

**Average Time Spent**: 5 mins

### How to find the whole from the part with percentage practice test

**Average Time Spent**: 9 mins

### How to find the probability of an outcome practice test

**Average Time Spent**: 23 mins

### How to find the intersection of a venn diagram practice test

**Average Time Spent**: 3 mins

### How to find the union of a venn diagram practice test

**Average Time Spent**: 1 mins 2 secs

### How to find the angle of clock hands practice test

**Average Time Spent**: 1 mins 35 secs

### How to find the length of the diameter practice test

**Average Time Spent**: 1 mins 4 secs

### How to find the ratio of diameter and circumference practice test

**Average Time Spent**: 38 secs

### How to find the length of a radius practice test

**Average Time Spent**: 2 mins 38 secs

### How to find the perimeter of a polygon practice test

**Average Time Spent**: 1 mins 15 secs

### How to find if rectangles are similar practice test

**Average Time Spent**: 1 mins 3 secs

### How to find the length of the diagonal of a rectangle practice test

**Average Time Spent**: 20 secs

### How to find the length of the side of a rectangle practice test

**Average Time Spent**: 1 mins 58 secs

### How to find the length of the diagonal of a square practice test

**Average Time Spent**: 44 secs

### How to find the perimeter of a square practice test

**Average Time Spent**: 2 mins 20 secs

### How to find the area of a trapezoid practice test

**Average Time Spent**: 1 mins 3 secs

### How to find an angle in an acute / obtuse triangle practice test

**Average Time Spent**: 3 mins

### How to find if two acute / obtuse triangles are similar practice test

**Average Time Spent**: 1 mins 32 secs

### How to find the perimeter of an acute / obtuse triangle practice test

**Average Time Spent**: 1 mins 16 secs

### How to find the area of an equilateral triangle practice test

**Average Time Spent**: 2 mins 44 secs

### How to find an angle in an acute / obtuse isosceles triangle practice test

**Average Time Spent**: 6 mins

### How to find if right triangles are similar practice test

**Average Time Spent**: 1 mins 34 secs

### How to find the area of a right triangle practice test

**Average Time Spent**: 2 mins 26 secs

### How to find the length of the hypotenuse of a right triangle : pythagorean theorem practice test

**Average Time Spent**: 10 mins

### How to find the length of the side of a right triangle practice test

**Average Time Spent**: 8 mins

### How to find the perimeter of a right triangle practice test

**Average Time Spent**: 1 mins 4 secs

### How to find the surface area of a cone practice test

**Average Time Spent**: 1 mins 15 secs

### How to find the length of an edge of a cube practice test

**Average Time Spent**: 1 mins 37 secs

### How to find the surface area of a cube practice test

**Average Time Spent**: 2 mins 32 secs

### How to find the surface area of a cylinder practice test

**Average Time Spent**: 5 mins

### How to find the length of an edge of a prism practice test

**Average Time Spent**: 1 mins 23 secs

### How to find the volume of a pyramid practice test

**Average Time Spent**: 1 mins 50 secs

### How to find the surface area of a sphere practice test

**Average Time Spent**: 1 mins 8 secs

### How to find the cosine of a missing side practice test

**Average Time Spent**: 36 secs

### How to find the cosine of an angle practice test

**Average Time Spent**: 1 mins 55 secs

### How to find a missing side with sine practice test

**Average Time Spent**: 1 mins 58 secs

### How to find the tangent for the missing side practice test

**Average Time Spent**: 1 mins 36 secs

### How to find the tangent of an angle practice test

**Average Time Spent**: 2 mins 13 secs

### All ACT Math Resources

## Practice Quizzes

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

### All ACT Math Resources

Our free ACT Mathematics Practice Tests are each a selection of 10 to 12 questions, which will give you a cross-section of topics from the Mathematics section of the official ACT. You might think of them as little quizzes, which you can use to hone your skills.

**ACT Mathematics Section**

**What does the ACT Mathematics section cover?**

The ACT Mathematics section tests six areas of mathematics that students are expected to be familiar with after completing 11th grade. These sections are pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and some trigonometry.** **

Questions drawn from each of these sections appear in the following ratios and test the following material:

**Pre-Algebra (23%)**: Pre-Algebra ACT Mathematics questions test concepts such as performing basic operations, understanding place value, understanding absolute value, understanding ratio, proportion, and percent, solving simple single-variable equations, and understanding probability.

**Elementary Algebra (17%)**: Elementary Algebra ACT Mathematics questions test concepts such as using exponents and square roots, using substitution and elimination to solve pairs of two-variable equations, and factoring equations.

**Intermediate Algebra (15%)**: Intermediate Algebra ACT Mathematics questions test concepts such as using the quadratic formula, solving equations that involve absolute values and inequalities, solving equations that both use inequalities and require the quadratic formula, modeling story problems with equations, solving functions, finding the roots of polynomials, and understanding matrices, complex numbers, and radical and rational expressions.

**Coordinate Geometry (15%)**: Coordinate Geometry ACT Mathematics questions test concepts based on the coordinate plane, so questions in this category concern graphing points, lines, inequalities, polynomials, circles, and curves, as well as understanding the equations that produce them. Features of those graphed equations such as slope, parallel and perpendicular lines, distance, midpoints and conics are also tested.

**Plane Geometry (23%)**: Plane Geometry ACT Mathematics test questions concern the area and volume of plane figures and three-dimensional shapes. These questions also test a student’s understanding of angles and relationships created by parallel and perpendicular lines, properties of figures of different shapes, transformations, and the idea of proof and proof techniques.

**Trigonometry (7%)**: A complete understanding of all of trigonometry is not necessary for doing well on the ACT Mathematics section. ACT Mathematics Trigonometry questions test understanding properties of right triangles, understanding trigonometric functions’ values and properties, graphing and modeling using those functions, using trigonometric identities, and solving trigonometric equations.

**How many problems are on the Mathematics section, and how much time do I have to complete them?**

Each ACT Mathematics section consists of 60 multiple-choice questions, and you are given 60 minutes to complete the section. While you might be worried to find that you only have one minute per question, questions of varying difficulty levels are asked, so certain questions will take you less than a minute to solve, while other questions will take longer.

**How many multiple choice answers are there on an ACT Mathematics question?**

Unlike other sections of the ACT, which consist of multiple-choice questions that have four possible answers choices, the Mathematics Section of the ACT consists of multiple-choice questions that each have five possible answer choices.

**Can I use a calculator on the ACT Mathematics section?**

Yes! Students should bring their own calculator—scientific, graphing, or basic four-function calculators are permitted. While calculators can be useful to solve some questions, they may slow you down on other questions where simplifying or estimating may be a better choice.

**What kind of calculator can I use on the ACT Mathematics section?**

Certain calculators are not permitted by the ACT, and if you bring one of those calculators to the ACT, you will not be allowed to test.** **

While the ACT allows you to use a four-function, scientific, or graphing calculator, your calculator may not include any of the following features:

- built-in computer algebra systems

- tablet or laptop computers (i.e. PDAs)

- electronic pen-input devices or writing pads

- calculators with any kind of built-in communication device (i.e. calculators on cell phones or smartphones)

- calculators with a typewriter keypad in QWERTY format (letters keys not in this format are permitted)

The following types of calculators are permitted only with these modifications:

- Calculators with paper tape are permitted if the student removes the tape.

- Calculators that emit noise are permitted if the student mutes the noise so that the calculator makes no sound.

- Calculators with infrared data ports are permitted if the student completely covers the infrared data port with duct tape or electrician’s tape.

- Calculators that have power cords are permitted if the student removes all such cords.

**Do I need to memorize formulas for the ACT Mathematics section?**

The Mathematics section requires knowledge of basic formulas, including how to find the areas of circles, quadrilaterals, triangles, and basic three-dimensional figures.

**Can I guess if I don’t know the answer?**

Yes! Unlike the SAT, which calculates test scores based on how many questions you answer incorrectly, the ACT calculates test scores based on how many answers you got right. In other words, there is no penalty for guessing on the ACT; even if you get the question incorrect, it will not hurt your score. You will have better odds at guessing if you can eliminate at least one of the answer choices that you are certain is incorrect, and guess between the remaining answers.

**What type of questions appear on the ACT Mathematics section?**

The ACT tests six different areas of mathematics, and asks a variety of different question types; however, there are basically two overarching types of questions on the ACT Mathematics section: equation problems and word problems. The equation problems present an equation for you to solve, and often require a fair bit of computation. The word problems often—but not always—involve less calculation, but require translation: you’ll have to read the story and figure out how to translate words into an equation. For both types of questions, it’s important to read the instructions carefully, draw graphs and illustrations if needed, and eliminate wrong answers as you go along.

**Can I write out my work on the ACT Mathematics section?**

Absolutely! Writing out your work while solving ACT Mathematics problems is highly encouraged for a number of reasons. For one, it helps you think through a problem more slowly than if you were trying to do all the calculations in your head, and if you are feeling stressed during the test, it may help you to avoid small errors that might greatly affect your answer. Also, writing out your work for an ACT Mathematics problem ensures that if you skip a difficult question and return to it later, you can jump right back in where you left off; however, keep in mind that the ACT Mathematics section is a multiple-choice test, and that even if you have an answer calculated correctly in your scratchwork, you must bubble in your answer on your answer sheet for it to be counted toward your score!

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