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Mathematics (5165)

Test at a Glance

The Praxis® Mathematics test is designed to measure knowledge and competencies important for safe and effective beginning practice as a secondary school mathematics teacher. Test takers have typically completed a bachelor's degree program with appropriate coursework in mathematics and education.

Test Name Mathematics
Test Code 5165
Time 180 minutes
Number of Questions 66 selected-response questions
Format

The test consists of a variety of selected-response questions, where you select one or more answer choices; questions where you enter a numeric answer in a box; and other types of questions. You can review the possible question types in Understanding Question Types.

Test Delivery Computer delivered
Test Name
Mathematics
Test Code
5165
Time
180 minutes
Number of Questions
66 selected-response questions
Format

The test consists of a variety of selected-response questions, where you select one or more answer choices; questions where you enter a numeric answer in a box; and other types of questions. You can review the possible question types in Understanding Question Types.

Test Delivery
Computer delivered
 
Content Categories Approx. # Questions Approx. % Examination

I.Number & Quantity and Algebra
 IA. Number & Quantity
 IB. Algebra

20

7

13

30%

10%

20%

II.Functions and Calculus
 IIA. Functions
 IIB. Calculus

20

13

7

30%

20%

10%

III.Geometry
13 20%
IV.Statistics & Probability
13 20%

All questions assess content from the Mathematics domains above. Approximately 25% of questions assess content applied to a Task of Teaching Mathematics.

 
Content Categories Approx. # Questions Approx. % Examination

I.Number & Quantity and Algebra
 IA. Number & Quantity
 IB. Algebra

20

7

13

30%

10%

20%

II.Functions and Calculus
 IIA. Functions
 IIB. Calculus

20

13

7

30%

20%

10%

III.Geometry
13 20%
IV.Statistics & Probability
13 20%

All questions assess content from the Mathematics domains above. Approximately 25% of questions assess content applied to a Task of Teaching Mathematics.

About the Test

Content topics span the secondary mathematics curriculum, including content related to the four content categories listed in the Test at a Glance. (I) Number & Quantity and Algebra, (II) Functions and Calculus, (III) Geometry, and (IV) Statistics & Probability. A full list of the mathematics topics covered is provided in Content Topics.

Test takers will find that approximately 25% of the questions call for application of mathematics within a teaching scenario or an instructional task. Such questions — designed to measure applications of mathematics knowledge and skills to the kinds of decisions and evaluations a teacher must make during work with students, curriculum, and instruction — situate mathematics content questions in tasks that are critical for teaching.

A full list of the teaching tasks covered, which have been identified based on research on mathematics instructions and are a routine part of mathematics instruction, is provided in Tasks of Teaching Mathematics.

Test takers have access to an on-screen graphing calculator. A list of notations, definitions, and formulas is available on the test's Help screen and is also provided in the Practice with Sample Test Questions section.

The assessment is designed and developed through work with practicing teachers and teacher educators to reflect the mathematics curriculum as well as state and national standards for mathematics, including the National Governors Association Center for Best Practices and the Council of Chief State School Officers Common Core State Standards for Mathematics (2010), the National Council of Teachers of Mathematics (NCTM) and the Council of the Accreditation of Educator Preparation (CAE ) NCTM CAEP Standards (2012), and the NCTM Principles and Standards for School Mathematics (2000).

This test may contain some questions that will not count toward your score.

Sample Test Questions

This section includes sample test questions and explanations of the correct answer. These sample questions illustrate the kinds of questions on the test. They are not representative of the entire scope of the topics that may be covered on the actual test in either content or difficulty nor do they include actual questions that will be on the test.

Try Some Sample Questions

Note: These sample questions are included in the Study Companion PDF. They are different than the sample questions in the Mathematics (5165) Interactive Practice Test.

Interactive Practice Test

This full-length Mathematics practice test lets you practice answering one set of authentic test questions in an environment that simulates the computer-delivered test.

  • timed just like the real test
  • correct answers with detailed explanations
  • practice test results for each content category

Mathematics Interactive Practice Test

Doing Your Best

 

Strategy and Tips for Success

Effective Praxis test preparation doesn’t just happen. You'll want to set clear goals and deadlines for yourself along the way. Learn from the experts. Get practical tips to help you navigate your Praxis test and make the best use of your time.

Learn more Strategy and Tips for Success

 

Develop Your Study Plan

Planning your study time is important to help ensure that you review all content areas covered on the test. View a sample plan and learn how to create your own.

Learn more Develop Your Study Plan