# SAT Math Practice Test

The SAT math exam has been re-designed to test you on skills you will need to use in everyday life. They mirror the problem-solving and modelling you will encounter in different situations within both your personal and professional life, as well as college math, science and social science courses. The SAT math questions will focus mainly on the three areas of math that play the largest role in these situations:

**1. Heart of Algebra**

Heart of Algebra questions vary in both form and appearance, testing your ability to analyze, solve and create linear equations and inequalities. These questions may ask you to: create, solve or interpret linear inequalities or expressions in one or two variables; algebraically solve linear equations or inequalities in one or two variables; build a linear function; create, solve and interpret systems of (two) linear inequalities in two variables; interpret the variables and constants in expressions for linear functions; understand connections between algebraic and graphical representations.

**2. Problem Solving and Data Analysis**

Problem Solving and Data Analysis questions will anticipate your ability to identify patterns, deviations from the overall pattern in one or two data sets and quantitative measures of center.The goal of these questions is to test that you can use your skills and understanding within the context of the real world. Questions will ask you to: solve single and multi-step problems involving percentages, measurement quantities, units and unit conversion by using ratios, rates, proportional relationships and scale drawings; investigate key features of graphs; describe how variables on a scatterplot are related using linear, quadratic or exponential models; compare linear and exponential growth; evaluate reports, analyze shape, center and spread using statistics; use sample data to make inferences about population parameters; summarize categorical data and relative frequencies; calculate conditional probability.

**3. Passport to Advanced Math**

Passport to Advanced Math questions are going to test the fundamental skills you need to have mastered before studying advanced math. Questions may ask you to: create a quadratic or exponential function; determine the most suitable form of an expression or create equivalent expressions; solve quadratic equations; add, subtract or multiply polynomial expressions; rewrite simple rational expressions; interpret parts of nonlinear expression; understand the relationship between zeros and factors of polynomials or the nonlinear relationship between two variables; solve a system of one linear and one quadratic equation; solve an equation in one variable containing radicals of the variable in the denominator of a fraction; use structure to identify or isolate a quantity; interpret statements using function notation.

## SAT Math Practice Test

## Additional Topics on the SAT Math Exam

Outside of these three main areas of math, you will also be tested on the following topics in geometric and trigonometric concepts related to both college and career readiness:

- Using volume formulas to solve problems
- Using trigonometric ratios and the Pythagorean theorem
- Complex numbers
- Converting between degrees and radians
- Determining arc lengths through the use of radians
- Using trigonometric functions of radian measure
- Finding arc lengths, angle measures, chord lengths and areas of sectors by applying theorems about circles
- Solving problems about lines, angles and triangles by using concepts and theorems about congruence and similarity
- Using the relationship between similarity, right triangles and trigonometric ratios
- Using the relationship between sine and cosine of complementary angles
- Solving a problem about a circle in the coordinate plane by creating or using an equation in two variables

At its core, the topics presented on the SAT math exam are intended to measure the following:

- Fluency
- Conceptual Understanding
- Applications

As you answer questions, you will need to be able to carry out procedures and solve problems quickly and efficiently, demonstrate that you have a concrete grasp of essential math concepts, operations and relations and analyze a situation to mathematically carry out a solution.

## Types of Questions

Most of the questions on the SAT Math Exam are going to be multiple-choice, but there will be some “grid-in” questions that will require you come up with an answer. “Grid-in” questions do not supply any answer choices for you to select from; instead, you will need to produce your own answer. Both types of questions will appear in both the Math Test – Calculator and Math Test – No Calculator portions of the exam. You may encounter some parts of the exam that ask multiple questions about a single given scenario.

## Answering Questions on the SAT Math Exam

When gridding in your answers, you can answer in fraction or decimal form and will not need to reduce fractions to their lowest terms, but mixed numbers will need to be converted to improper fractions. Keep in mind that the grid can hold a maximum of four decimal places and only accommodates positive numbers, and zero. On the grids, pay special attention so that you do not mark more than one circle in any of the columns. Further instructions will be given to you in the testing booklet on test day.

## Preparing for the SAT Math Exam

On the exam, you will be given 25 minutes to answer 20 questions on the Math Test – No Calculator portion of the test. You will also be given 55 minutes to respond to 38 questions on the Math Test – Calculator portion. To get an idea of what you can expect to encounter on the exam, we recommend testing yourself with SAT math practice questions. As you go through the practice tests, take note of any questions that gave you more difficulty so you can review the topic in our SAT Math Study Guide.

Your SAT math exam score is graded within a scale of 200 to 800. You score is determined only based on the number of correct responses, unlike previous versions of the SAT which penalized for incorrect responses. For this reason, it is advisable to respond to every question on the exam, even if you are not confident the solution is correct.

Approximately two weeks following your test date, your official score report will be released. Within ten days of your score being made available to you they will be released to the colleges of your choice. You can choose which colleges receive your scores by logging into your College Board account.