best live chat

Get prepared for the ILTS Mathematics (115) Exam

Scroll down for more info about the test!

Mathematics Study Guide

ISBN Number: 978-1-68317-070-9

Our online, easy-to-use study guide comes with a guarantee of passing and a 48 hour no-questions asked refund policy. Use our study guide risk-free and be confident you have the best material to prepare for your important exam.

Fantastic Features

  • 265 Practice Questions
  • 157 Pages of Content
  • Self-pace Studying
  • Immediate Access
Learn More

Click the Tabs to Find More Information

Study Guide Tutorial

 Who Wants Free Study Materials?

Use a preview of our 240Tutoring study guides to help you understand what you need to study and how you should begin preparing for your exam!

 Get Sample Study Guide Materials!

Simply fill out the form below.

Simple… and Guaranteed to Work

If you fully utilize our study guide and earn a 95% on the 240Tutoring assessment, but fail your test – you are entitled to a full refund! 240Tutoring is the only resource that comes with a money back guarantee!

Risk-Free Enrollment

Every study guide comes with the 48 hour no-questions asked refund policy. You can get a full refund on enrollment within 48 hours of purchasing the study guide. No-Risk Enrollment!

Studying That is Easy

Our study guides are designed to be easy-to-use. Don’t waste study time navigating material – use 240Tutoring and maximize every minute of studying!

200 Interactive Practice Questions and 109 Pages of Instructional Content!

Mathematical Process and Instruction

53 Questions with Explanations
17 Pages of Instructional Content

Reasoning and Connections, Instruction and Assessment

Number Sense and Measurement

53 Questions with Explanations
18 Pages of Instructional Content

Number Theory, Number Systems, Measurement


62 Questions with Explanations
34 Pages of Instructional Content

Algebra, Patterns, Trigonemetry

Calc., Functions, Geometric Methods

59 Questions with Explanations
65 Pages of Instructional Content

Calculus, Functions, Geometry

Probability and Statistics

32 Questions with Explanations
29 Pages of Instructional Content

Data Application, Probability

How to Use our Study Guides

Utilizing 240Tutoring study guides is a simple 3 step process.


Enrollment takes less than 5 minutes and you have immediate access to your study guide. The first step is to enroll and take your initial assessment so that you know exactly where to study.


Your initial assessment will highlight exactly where to study. The next step is to read the study material thoroughly and then work through the interactive practice questions.


After reviewing all the sub-areas you can retake your assessment. This will help you gauge your progress and then show you exactly where to study.

 Take a Mathematics Practice Test!

How well do you know the test?

Can you pass the test?


What’s on the Mathematics Exam

The ILTS Mathematics exam is a required exam that ensures candidates have sufficient knowledge in all relevant subject areas to teach secondary education.

Taking the ILTS Mathematics exam can be a daunting task.  Because its goal is to test your classroom readiness across the spectrum of content, it covers a lot of ground.  This breadth can make it hard to know how to prepare.  Luckily, if you understand how the test is organized and what it is testing, you will have no problem prepping for this test.  In order to cover everything, 20 objectives spread across 5 subareas.


Now that you have your test date set, you can turn to preparing for the exam itself. To begin, let’s look at the structure of the exam. The ILTS Mathematics exam in its entirety consists of 125 multiple-choice questions.  The test is administered via computer. Because of this, there can be a variety in the style of questions that are asked. You should expect to see three main types of questions: single-answer, stimulus-based, and cluster. You should expect most questions to require you simply to click an oval next to the correct answer. However, there may be questions that utilize the technology more. They may ask you to zoom in on details in a graphic or picture, click boxes next to all that apply, click on check boxes, click on parts of a graphic or sentence, use a drag and drop feature, or select your answer from a drop-down menu.

You Need to Pay for the Exam.

The Cost of the Test is $122

 ETS accepts all major credit cards for payment


You will have a total of 3 hours, 45 minutes to complete the test.



3 hours, 45 minutes

 Exam Objectives

Subarea I: Process and Applications

0001 Understand how to communicate mathematical content and concepts, and develop and utilize a variety of problem-solving techniques.

0002  Understand how to apply appropriate reasoning techniques to concepts, procedures, and conjectures, and make connections with and among the various branches of mathematics and other disciplines.

0003  Understand how to select, integrate, and use appropriate technologies.

Subarea II: Number Sense and Measurement

0004 Understand the concepts of number, number theory, and numeration systems.

0005  Understand properties of the real and complex number systems as they apply to algorithms of operations.

0006 Understand customary, metric, and nonstandard measurement.

0007  Understand procedures for computing or estimating measures of multidimensional objects.

Subarea III: Algebraic Patterns, Symbols, Functions, and Models

0008 Understand concepts, representations, and relationships of variables and patterns.

0009  Understand and apply concepts and representations of linear relations and functions.

0010  Understand and apply concepts and representations of quadratic relations (including conic sections) and functions.

0011  Understand and apply concepts and representations of polynomial, absolute value, radical, and rational functions and inequalities.

0012  Understand and apply concepts and representations of exponential, logarithmic, and trigonometric functions.

0013  Understand the historical development and applications of calculus.

Subarea IV: Geometric Methods

0014 Understand properties of points, lines, planes, and space and their relationship to Euclidean and non-Euclidean geometry.

0015  Understand properties of two- and three-dimensional shapes.

0016  Understand and apply spatial visualization skills.

0017 Understand and apply geometric methods to model mathematical concepts and solve real-world problems.

Subarea V: Probability and Statistics

0018 Understand counting techniques and the theory of probability.

0019  Understand the process of posing questions and collecting, organizing, and representing data to answer those questions.

0020  Understand the process of analyzing and interpreting data to make predictions.

 Passing Scoring

Your score will be based on the number of questions you answer correctly. You will need to score a minimum of 240 in order to pass.

Registration and Testing

The first step in getting yourself ready for this exam is to complete the registration.  The ILTS exams are offered continuously throughout the year. However, it is important to register as soon as possible to make sure you get the date and location you want.  It is also a good idea to register early, so that you leave enough time for yourself to prepare.

Which ILTS Test Do I Need to Take?

Those seeking an initial license need to demonstrate proficiency in basic skills and must do so by passing three different exams. The basic skills exam (which can be substituted by the TAP, ACT Plus Writing, SAT, or OSS Exam from out of State), various content area exams, and either the APT or the edTPA (The APT for individuals who completed their student teaching prior to September 1, 2015 and the edTPA for individuals who complete their student teaching after September 1, 2015).

Those seeking to add the following endorsements to their Illinois State Teaching License must also take the Special Education General Curriculum Test.

  • Learning Behavior Specialist
  • Teachers of Students Who Are Blind or Visually Impaired
  • Teachers of Students Who Are Deaf or Hard of Hearing
  • Speech-Language Pathologist: Teaching

Those seeking licensure from out of state, or to add content knowledge areas or endorsements to existing licenses need only to take the relevant content area exams. Please visit the Illinois State Board of Education website and select “Timeline and Requirements” for information relevant to your specific needs.

How to Register

Applicants are required to create an account in order to register for any ILTS Exam. You can create an account by providing your email, desired password, and answers to a variety of security questions at the ILTS Test Registration page. It is crucial that the information you provide at the time of registration matches your government-issued ID. Early Registration is strongly encouraged in order to schedule a desired seat and meet the required deadline for any ILTS exam.

Beginning to Prepare

Beginning to Prepare

After you have determined which exam you need to take, have registered and paid the exam fee, it is time to begin preparing for the ILTS. The most effective way to prepare for the ILTS Exam series is to develop a study plan. Your study plan should include understanding the standards, the structure of the ILTS, what study materials are available, practice or diagnostic assessments, studying strategies,  how to write a CRQ response (if applicable), and developing a study schedule as discussed below.

Understanding The Standards

The ILTS was designed to align with Illinois state learning standards and content standards for teachers. The Professional and Subject Knowledge exams will measure proficiency in their respective  fields based on the Illinois standards for that field. You can find information about these standards on the Illinois Department of Education Website.

Structure of the ILTS

Each ILTS exam consists of a unique format and time allotment. Please visit ILTS Frameworks and select the “Desired Test” for more information.

The edTPA consists of a portfolio, similar to the process used for National Board Certification, in order to display proficiency in five key competencies. These competencies are planning, assessment, instruction, reflection, and academic language. Specific items reflecting the competencies must be present in the portfolio including video recordings of the student teacher interacting with students in the classroom, lesson plans, student work samples, analysis of student learning, planning and assessment documentation, and reflective commentaries. For more information about the edTPA, please visit the Illinois State Board of Education website.

Don’t Forget to Study Testing Strategies

Testing strategies are an essential element of preparation for the ILTS. Here are some helpful articles that detail testing strategies and reasons why people fail their certification exam.

How to Write a CRQ

CRQ’s or Constructed Response Questions are an important part of the ILTS. If your exam includes CRQ’s, you will need to know how to write one effectively. Here are some helpful tips to help you prepare for the CRQ portion of your exam.

What to Expect the Day of the Test

You should plan to be at the testing center at least 30 minutes prior to your scheduled test appointment. You should dress comfortably and in layers. Wear soft-soled shoes in order to maintain a quiet testing environment for all testers.

Lockers are provided at most testing centers. Please double-check by calling the testing center in advance.

You need to have a government-issued ID to verify your identity. When you check in your ID will be checked, your digital signature recorded, your palm scanned, and your photograph taken.

Each testing center has computers separated by partitions as well as a proctor to prevent cheating. Before beginning the exam, each tester will complete a computer-based tutorial session designed to show you how to navigate through the test successfully.

Test Scores

Passing Score

A passing score for every ILTS subtest is 240.

When do I get Scores?

A score report will be emailed to the email address you provided upon registration as soon as it is available, so it is important to keep your registration information up to date. You can also access a PDF version of your score report 45 days after the test date by logging in and following the prompts. You can also find your results, when they become available, here.

Understanding Your Score Report

Your Score Report will include the date of the exam, your total test score out of 300, and a pass or fail status. In order to help testers understand their strengths and weaknesses in testing areas, subarea scores are provided. You do not need to pass every subarea in order to pass the exam, but do need an overall score of 240 or higher. Your subarea scores are for your information only and should be used to identify weaknesses in specific subareas.

State Reciprocity

The ILTS Exams are required for certification in Illinois. In some cases, alternate state exams can replace the ILTS. For up to date information on specific requirements please visit the Illinois State Board of Education.

 Who Wants Free Study Materials?

Use a preview of our 240Tutoring study guides to help you understand what you need to study and how you should begin preparing for your exam!

 Get Sample Study Guide Materials!

Simply fill out the form below.

9 out of 10 students would recommend 240Tutoring to a friend.

Students have guaranteed results when using 240Tutoring study guides. Each study guide comes with the 240Tutoring Guarantee- if a students earns a 95% Cumulative Score or higher on our study guides and is unsuccessful on the test, 240Tutoring will provide a full money-back refund!


 Contact Us

Questions? Want Help? Need Anything?


P.O. Box 75 Denton, Tx 76202

 © 2016   |   Terms of Use   |   Privacy Policy