Praxis® Core Math (5733) Practice Test & Study Guide

What Is the Praxis Core Math (5733) Test?

The Praxis Core is designed to evaluate teachers' base competency in three central academic areas: reading, writing, and math. The Praxis Core Reading, Praxis Core Writing, and Praxis Core Math don't assess teaching skills but rather content mastery. The Praxis Core Math Test is not just for math teachers; teachers in other subject areas will regularly use basic math skills, including algebra and statistics, when evaluating student performance and calculating grades. Some states require all prospective teachers, regardless of the subject area, to pass the Praxis Core Test, including Praxis Core Math Test 5733 (5733 is the test code for the Praxis Core Math Test; keep in mind that this is different than a Praxis math subject test or one of other Praxis Core tests).

Praxis Core Math Test Overview

The Praxis Core Math Test is taken on a computer at a Praxis testing center. Prospective teachers taking the Praxis Core Math Test will have 90 minutes to answer 56 questions, and they can use an on-screen calculator to do so. While this Praxis test is not broken up into different sections that are taken separately, the test's questions are split into three categories based on the type of math problem being presented. These categories are (1) Number and Quantity; (2) Data Interpretation and Representation, Statistics, and Probability; and (3) Algebra and Geometry.

On average, the Data Interpretation category and the Algebra and Geometry category have 18 questions apiece, while the Number and Quantity category has 20. As a result, the Number and Quantity question group is usually worth a little more than the other question groups; it's worth about 36% of the total points on the test, while the other two groups of questions are worth about 32% each.

There are three different question formats on the Praxis Core Math Test. There are selected-response questions in which the test taker chooses the correct answer from a set of given responses. These questions are commonly called multiple-choice questions outside the Praxis. There are also selected-response questions in which the test taker can select multiple options from the set of given responses and must choose all the correct answers. Finally, there are numeric entry questions in which the test taker types the answer into a box.

Practice tests give you a better idea of the topics you have mastered and those you should keep studying.

What Is Covered on the Praxis Core Math Test?

The three content categories on the Praxis Core Math Test cover a range of mathematical subject areas, skills, and competencies. The Praxis Core Math questions will include topics from the middle-school to high-school levels, including algebra, geometry, and some statistics. The test does not include higher-level questions on topics like college-level algebra or calculus. Generally speaking, a high school graduate will have learned all the math content used in the Praxis Core Math Test questions, so test takers shouldn't usually have to worry about never having been exposed to the material. This doesn't necessarily mean the Praxis Core Math Test will be easy; however, prospective teachers may still find they struggle with one or more question areas.

Number and Quantity

Questions in the Number and Quantity category focus on integers, fractions, and decimals, and questions will often involve converting between these forms. Test takers will need to be able to find squares and square roots and work with exponents. Rates, ratios, and unit conversion are also used in this category. Questions can also ask test takers to prove or disprove mathematical statements. Test takers can expect a lot of the questions in this section to require multiplication and division of integers, fractions, decimals, or percentages.

Data Interpretation and Representation, Statistics, and Probability

Questions in the Data Interpretation category give test takers numerical information and ask them to draw conclusions based on it. One question may present a set of data and ask the test taker to determine a related probability or probable outcome. Another question may ask the test taker to match a graph to a data set, find the average of a data set, or identify an outlier. These questions will also ask the test taker to interpret different forms of data representation, such as scatterplots.

Algebra and Geometry

Algebra questions focus on solving and extracting information from algebraic equations. Questions may simply ask the test taker to solve an equation for a variable, or they may involve identifying the relationship between two variables. Some questions in this category involve linear graphs. Questions may also require simplifying algebraic expressions.

The geometry questions include angles and congruence. Test takers will need to know the different types of angles, how to find the radius and circumference of a circle, and how to recognize parallel and perpendicular lines.

How to Register for the Praxis Core Math Exam

Because the Praxis Core Tests are among the most common Praxis exams taken by teachers in every subject area, the Praxis Core Math Test is regularly offered year-round. Test takers will need to register for the test with ETS, the organization that administers the Praxis. ETS's website can help test takers to find Praxis test dates and locations. Praxis testing centers often include local colleges and universities.

The cost of Praxis Core test for Math is $90. There are three ways to register for Praxis exam. Registering online will be the easiest for most test takers. All you have to do is create an account, select a test date and location, and submit payment. (Credit, debit, PayPal, and eCheck are all accepted.) You can also register by phone by calling 1-800-772-9476, though this method requires a $35 surcharge. Alternatively, you can print and mail the Praxis Test Authorization Voucher Request form.

There's not much you can bring into the testing area when you take the Praxis. Bags, backpacks, and purses are not allowed. Perhaps the most important thing to remember is that you are NOT allowed to bring your phone into the test center, and doing so can result in a cancellation of Praxis scores. Some but not all testing sites will hold your items until after the Praxis test. On the Praxis Core Math Test, you won't bring a calculator. Instead, you'll use an on-screen calculator while taking your exam.

Test takers now have the option to take the Praxis at home for many Praxis tests, including the Praxis Core Math Test. This can be done between 10 a.m. and 1 a.m. ET any day of the week. Those taking the Praxis at home are monitored by ProctorU.

How Is the Praxis Core Math Test Scored?

When taking the Praxis, answer every question you can; there is no score penalty for answering incorrectly. After completing any Praxis test, you are sent a Praxis score report with detailed information about your testing performance. Fortunately, those taking the Praxis Core Math Test won't usually even have to wait for their score reports to find out how well they did. Because there are no subjective questions on the Praxis Core Math Test, and because you take the Praxis test on a computer, you can usually receive your score immediately upon test completion.

ETS will give you a score result between 100 and 200. ETS does not set the Praxis passing scores. Instead, individual states or agencies determine what they consider a passing score. This means that there is no set number of the 56 questions that you need to answer correctly to pass. If you are preparing to teach in a certain state, you'll need to be aware of the Praxis state requirements for test scores.

How to Prepare for the Praxis Core Math Test

Making sure you understand the test before taking it is important. You need to be familiar with the types of test questions and read carefully. For example, it's important to distinguish between the selected-response questions that can have only one answer and those that can have multiple correct responses, or you may overlook some of the correct answer choices. You should also develop a Praxis math test study plan to help you to review the Praxis content. The best thing you can do to get ready for the Praxis is to look at Praxis test sample questions. ETS has practice Praxis math problems online that you can use, or you can take a practice Praxis math test.

Praxis Math Practice Test

Incorporating the Praxis Core Math practice test into your Praxis exam preparation is the best thing to do. A Praxis practice test provides test takers with a similar range of questions to what will be on the actual Praxis. This is especially useful to help you identify the types of questions you need to improve on. By answering practice Praxis questions and checking your responses against the correct answers, you can see, for example, that you're struggling with the geometry questions or that you frequently miss some of the correct answers on the selected-response questions where you can choose more than one response. Because each content category on the test covers more concepts than will appear on any given edition of the test, it's best to take several practice tests to make sure that you cover the breadth of content. There are a lot of good Praxis math practice tests and resources available from a number of sources at different rates.

What Is the Difference Between Praxis I, Praxis Core (5732), and Praxis Core (5733)?

ETS has made changes to Praxis tests over time, adapting them to better meet teachers' needs. The Praxis I and Praxis Core Math (5732) are both prior test versions no longer in use; the Praxis Core Math (5733) is the only version of the Praxis Core Math Test currently administered.

The Praxis I Pre-Professional Skills Test (PPST) originally included the core reading, writing, and math competency evaluations needed by every teacher. In 2014, the Praxis PPST was replaced by the Praxis Core Tests and was broken up into different reading, writing, and math tests, including the Praxis Core Math Test (5732). In 2019, ETS released a new test version in addition to the Praxis Core Math (5732), the Praxis Core Math (5733). The 5733 introduced the Data Interpretation and Representation, Statistics, and Probability content category as an equal content category to Algebra and Geometry. ETS retired the 5732 version in 2020; only the 5733 version is now available.

Expert Contributor

Shawn Millinder, PhD

Shawn Millinder, Ph.D. has taught science at the collegiate and high school level for over 24 years. She holds a teaching certificate in Chemistry and Biology (grade 7-12) and currently teaches Chemistry, Anatomy, and Physiology at a community college. Shawn has passed Praxis exams in math, writing, biology, and chemistry, as well as the ABCTE Professional Knowledge and Biology Content exams. Shawn completed a Ph.D. in Molecular Biology at U.S.C. and a B.S. in Bio-Veterinary Science at Utah State University.

Frequently Asked Questions

  • How do I pass the Praxis Core math test?

    To pass the Praxis Core math test, you'll want to make sure that you are prepared for both the content on which you will be tested as well as the format and mechanics of the exam. Well before your scheduled test date, you should familiarize yourself with the mathematics concepts that appear on the Praxis Core math subtest and use study tools such as practice tests to assess and improve any areas of need. Additionally, you'll want to practice strategies for success on the multiple-choice and numeric entry (calculation) items that you'll encounter on the Praxis Core math exam.

  • What kind of math is on Praxis Core?

    The Praxis Core math subtest contains mathematics concepts in four main groups: number and quantity, algebra and functions, geometry, and statistics and probability. Number and quantity items may include questions about ratios and proportions as well as basic arithmetic operations. For algebra and functions questions, test-takers will be asked to apply algebraic thinking to solve problems involving equations, inequalities, and interpretation and construction of functions. Geometric concepts such as congruence and similarity, as well as properties of various shapes, also appear on the exam. Finally, interpretation and evaluation of statistical and probabilistic data will be tested.


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Exam Instructions:

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  1. Angie has a proportionate map where one inch equals 50 miles. Using the map, she measured that the distance between Mars Town and Jupiter City are 3 inches on the map. How many miles apart are the real Mars Town and Jupiter City?

    • Correct Answer
  2. A recipe for a cake requires 2 cups of sugar for each 3 cups of flour. If you want to prepare a cake that requires a total of 12 cups of flour, how many cups of sugar will you require?

    • Correct Answer
  3. A particular classroom contains 16 boys and 20 girls. What is the ratio of boys to girls?

    • Correct Answer
  4. The table below shows the number of attendees in a climate change summit.

    Which age group comprises about 16% of the entire summit?

    • Correct Answer
  5. Alex has an hourly wage of $19.50 at his current job. This hourly wage is increased to $22.15. What is the percent change in his wage?

    • Correct Answer
  6. Convert the fraction {eq}\dfrac{9}{20} {/eq} into a percentage.

    • Correct Answer
  7. Which property in mathematics might be expressed as {eq}x(y+z)=x(y)+x(z) {/eq}?

    • Correct Answer
  8. 5 x 4 = 4 x 5

    Which basic operation property does the above equation demonstrate?

    • Correct Answer
  9. Fill in the blank.
    (a + b) + c _____ c + (a + b)

    • Correct Answer
  10. A train is traveling between two cities. The entire trip takes 2.5 hours. The first portion of the trip occurs for 1.5 hours at a faster speed of 70 kilometers per hour. The second portion of the trip occurs for 1.0 hours at a slower speed of 50 kilometers per hour. What is the average speed for this train?

    • Correct Answer
  11. Eric and Patty want to buy a new computer that costs $600 total. How many hours must Patty work if she gets paid $18 an hour and Eric, who makes $17 an hour, can only work for 11 hours. Round to the nearest whole number.

    • Correct Answer
  12. A cyclist travels a distance of 1.5 kilometers at a constant speed of 35 kilometers per hour. As he gets tired this constant speed decreases to 20 kilometers per hour. The journey continues at this slower speed for another 0.5 kilometers. What is the cyclist's average speed over the entire journey?

    • Correct Answer
  13. A locker combination can use the digits 0 through 9. Each combination is 3 digits long and digits can repeat. How many possible locker combinations are?

    • Correct Answer
  14. In a Mathematics test by teacher X, students A, B, C, D and E obtained the following grades 3, 6, 2, 10 and 7, respectively.

    What was the variance and standard deviation of the grades of Professor X's students?

    • Correct Answer
  15. What is the probability of drawing four aces after drawing four cards?
    • Correct Answer