Praxis Core Academic Skills for Educators · Math
Praxis Core Mathematics (5733) Practice Test & Study Guide
Prepare for Praxis Core Mathematics with independent practice, flashcards, and connected lessons. Understand the official assessment, choose a focused study route, and review the reasoning behind missed answers.
Free study tools · Focused review · Official study guidance
Praxis Core Mathematics Practice Tests
Use the existing independent study form and review its explanations. Results are for study, not official certification scores.
Praxis Core Mathematics Flashcards
Recall a concept and explain how it applies to a teaching situation or subject example.
Praxis Core Mathematics Study Guides
Praxis Core Mathematics assessment and course guidance
Use the official page to find the course description, assessment directions, and preparation resources. No matching Effortless Math book has been verified for this subject.
Praxis Core Mathematics Quick Review
Refresh one weak skill before your next practice session.
MEET THE ASSESSMENT · CHOOSE YOUR NEXT SKILL
Know Praxis Core Mathematics before you start.
ETS describes Core Academic Skills For Educators: Mathematics (5733) as 56 questions in 90 minutes. Confirm the required test code and score policy with your state or program. Independent practice here gives study feedback, not an official Praxis score.
Whole numbers, place value, and operations
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Fractions and decimals
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Ratio, proportion, percent, and rate
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Official test readiness
Confirm your test code, format, and certification requirements with the official provider.
Praxis Core Mathematics Practice Center
Sit a full 90-minute form, then read the explanation under every question you missed. Sort those misses into two piles: arithmetic you rushed, and setups you got wrong. The second pile is where the score is.
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Praxis Core Mathematics at a glance
Roughly forty states use Praxis Core, either to admit you to a teacher preparation program or to certify you. The mathematics subtest is not a college algebra exam. It is middle school arithmetic, proportional reasoning, and data reading, wrapped in word problems and charts and run against a 90-minute clock. Candidates rarely fail because the mathematics is hard. They fail because they misread what a question asks for, or because they spend four minutes on an item worth the same as a 40-second one.
| Test code | 5733 (Mathematics). The combined Core test is 5752. |
|---|---|
| Part of | Praxis Core Academic Skills for Educators, alongside Reading and Writing. |
| Who takes it | Candidates in roughly 40 states, usually for entry to a preparation program or for certification. |
| Number of questions | 56 selected-response |
| Time limit | 90 minutes |
| Calculator | An on-screen four-function calculator is provided. You cannot bring your own, and you do not need one. |
| Reference sheet | An on-screen sheet gives the area and circumference of a circle, the area of a rectangle, the area of a triangle, and the volume of a rectangular box. Everything else you supply from memory. |
| Format | Computer-delivered. Some questions do not count toward the score, and they are not marked. |
| Question types | Word problems, items built on a chart, graph, table, or scatterplot, and items on figures. |
| Passing score | ETS does not set one. Each state or agency sets its own qualifying score, so check the requirement where you are seeking licensure. |
ETS publishes approximate weights for this test: Number and quantity 36 percent (about 20 questions), Data interpretation and representation, statistics, and probability 32 percent (about 18), and Algebra and geometry 32 percent (about 18). The counts and percentages are ETS’s own approximations, so treat them as planning figures rather than exact numbers. Note how the categories are drawn: algebra and geometry share one category, while data and probability get a category to themselves.
The three content categories, in plain language
ETS lists each category with the skills under it. Here is what each one actually asks you to do.
I. Number and quantity (about 20 questions, 36 percent)
Arithmetic you can trust, and the proportional reasoning built on top of it.
- Integers, decimals, and fractions in every combination
- Ratios and proportions, including scaling a recipe or a map
- Percent, including increase, decrease, discount, and tax
- Constant rates: distance, work, and cost per unit
- Place value and putting numbers in order
- Factors, multiples, primes, and divisibility rules
- Finding a counterexample to a statement about arithmetic
- Picking the relevant numbers out of a wordy problem and choosing the operation
- Units and unit conversion
II. Data interpretation and representation, statistics, and probability (about 18 questions, 32 percent)
Reading a display correctly and reasoning about what it does and does not show.
- Tables, bar graphs, line graphs, circle graphs, and scatterplots
- Mean, median, and mode, plus range and spread
- Drawing an inference about a population from a random sample
- Spotting a positive or negative linear relationship in a scatterplot
- Using a linear model to predict a value
- Telling correlation apart from causation
- Simple probability and problems built on it
III. Algebra and geometry (about 18 questions, 32 percent)
Symbols that stand for quantities, and figures whose measures you can compute.
- The commutative, associative, and distributive properties
- Following a given arithmetic or algebraic procedure step by step
- Generating an equivalent expression
- Writing an equation or expression for a described situation
- Word problems built on a linear relationship
- Solving a linear equation in one variable
- Solving a simple quadratic equation
- Properties of two-dimensional shapes, angles, congruence, and similarity
- Area and circumference of a circle
- Perimeter, area, and volume of common shapes
A study routine that fits a 90-minute test
Fifty-six questions in 90 minutes is about ninety-six seconds each. That is plenty for most items and not enough for a few, so the skill you are building is partly mathematical and partly triage.
Complete lesson map
Forty-seven lessons covering the mathematics behind this test, each opening in a new tab so you can keep this page open while you work.
Whole numbers, place value, and operations
Fractions and decimals
Ratio, proportion, percent, and rate
Expressions, equations, and inequalities
- 22Translating Phrases into Algebraic Statements↗
- 23The Distributive Property↗
- 24Combining Like Terms↗
- 25Evaluating One Variable↗
- 26Evaluating Two Variables↗
- 27Simplifying Variable Expressions↗
- 28One-Step Equations↗
- 29Multi-Step Equations↗
- 30One-Step Inequalities↗
- 31Multi-Step Inequalities↗
- 32Factoring Trinomials↗
Linear relationships and the coordinate plane
Geometry and measurement
Data, statistics, and probability
Before test day
Two habits are worth more than any last-minute review. First, underline what the question asks for before you compute, because a fair number of items give you a correct value you were not asked for and then offer it as a choice. Second, check that your answer is the right size. A discount that makes something cost more, an average outside the data, or a probability above one is a signal to look again. On a test this fast, the reasonableness check is the cheapest point you will ever buy.
A USEFUL NEXT STEP
Praxis Core Mathematics: study questions
What should I know about the official Praxis Core Mathematics assessment?
ETS describes Core Academic Skills For Educators: Mathematics (5733) as 56 questions in 90 minutes. Confirm the required test code and score policy with your state or program. Independent practice here gives study feedback, not an official Praxis score.
Official source ↗How should I use these independent Praxis Core Mathematics study tools?
Start with a practice activity, review explanations for missed questions, and use quick review or flashcards for one weak topic. The practice results are study feedback, not official exam scores. Compare a book’s contents with your course or test requirements before buying.
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