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To pass the Praxis Core math test (5733), do four things. Know exactly what is tested (number and quantity, algebra and functions, geometry, and statistics and probability), drill fresh practice questions instead of rereading a prep book, get comfortable with the on-screen four-function calculator because you cannot bring your own, and confirm your own state's qualifying score. That last one matters more than most people realize: ETS does not set a national passing score for Praxis Core. Each state or licensing agency sets its own, so the number you need depends entirely on where you plan to teach.
Praxis Core Academic Skills for Educators is the basic skills gate for teacher preparation programs and licensure in many states. The combined test is code 5752, and it is made of three subtests you can take together or separately: Reading (5713), Writing (5723), and Mathematics (5733).
The math subtest, 5733, has 56 questions and a 90-minute time limit. The questions are a mix of multiple choice and numeric entry, which means some of them require you to type an answer rather than pick one. An on-screen four-function calculator is provided. Personal calculators are not permitted, and that catches people out every single administration.
Content covers four areas: number and quantity (fractions, ratios, percentages, integers, order of operations), algebra and functions (solving equations, inequalities, linear relationships), geometry (area, perimeter, volume, angles, coordinate geometry), and statistics and probability (mean, median, mode, reading charts and graphs, basic probability). None of it goes beyond high school math. That is the good news and also the reason people underestimate it.
| Subtest | Questions | Time | Calculator |
|---|---|---|---|
| Reading (5713) | 56 selected-response | 85 minutes | Not applicable |
| Writing (5723) | 40 selected-response plus 2 essays (30 minutes each) | 100 minutes total | Not applicable |
| Mathematics (5733) | 56 (multiple choice and numeric entry) | 90 minutes | On-screen four-function calculator provided; personal calculators not permitted |
If you sit the combined test (5752), you face 152 selected-response questions plus the 2 essays, for roughly 4 hours and 35 minutes (275 minutes) of testing. That is a long day. Many candidates take the subtests separately so they can focus their prep, and because you have to pass each subtest anyway. Passing the combined test just means clearing each subtest's requirement, so splitting them up does not cost you anything except extra trips to the test center.
Scores are reported on a scaled range of 100 to 200. Here is the part that trips up almost everyone: ETS does not set the passing score. Your state, or whatever agency licenses teachers where you are, sets its own qualifying score. So there is no universal number.
You will see figures quoted around the internet: Reading 156, Writing 162, Mathematics 150. Those are commonly cited and they are a reasonable ballpark, but do not build your study plan around them as if they were law. Some states require more. Some accept alternatives to Praxis Core entirely (an SAT, ACT or GRE score above a threshold, for example). Some teacher preparation programs set a bar higher than the state's. Look up your own state's requirement on the ETS state requirements page or with your state licensing board, and write the actual number down before you start studying. Aiming at a number you invented is how people miss by two points.
Because it is the subtest furthest from what most teaching candidates do daily. If you are training to teach elementary school or English or history, you may not have touched algebra in years. The content is high school level, but "I learned this once" and "I can do this in 96 seconds under pressure" are very different states.
The other reason is the format. Numeric entry questions have no answer choices to work backward from. On a multiple choice question you can plug in the options and see which one works. On a numeric entry question you have to actually solve it, and if your arithmetic is shaky, there is no safety net. People who prep only with multiple choice questions get ambushed.
And then there is the calculator. A four-function calculator does addition, subtraction, multiplication and division. That is it. No exponents button, no square root shortcut you are used to, no fraction display, no memory habits from your graphing calculator. If your mental math is weak and you have been leaning on a calculator to do things a four-function device cannot do, the test will find that out.
Six weeks is enough for most people if the time is used on practice rather than reading. A workable structure:
Weeks 1 and 2, diagnose and rebuild number sense. Take a full timed practice math section first, before you study anything, so you know where you actually stand. Then spend these two weeks on number and quantity: fractions, decimals, percentages, ratios, proportions, integers, order of operations. This is the foundation everything else sits on, and it is where most adults have rust.
Weeks 3 and 4, algebra and geometry. Linear equations, inequalities, expressions, basic functions, then area, perimeter, volume, angle relationships, and coordinate geometry. Work problems in mixed sets so you have to identify the type before you solve, which is what the real test demands.
Week 5, statistics, probability and data. Mean, median, mode, range, reading tables, bar charts and scatterplots, and basic probability. Data interpretation questions are common and they are winnable points if you practice reading the graph carefully rather than rushing.
Week 6, full timed sections only. Two or three complete 56-question, 90-minute sections, with a full review of every miss. Nothing new. This week is about pacing and stamina.
Across all six weeks, the loop that actually works is: attempt a question, check it, and if you got it wrong, figure out why and write the reason down. Not the correct answer. The reason. "I misread the units." "I forgot to distribute the negative." "I did not know the volume formula." Patterns show up fast, and fixing three recurring errors is worth more than an extra 200 practice problems.
The bottleneck is usually a supply of fresh questions on exactly your weak topic. If you have already worked through the questions in your study guide, you are just remembering answers. Upload your guide or your notes and generate a Praxis Core practice test from that content so you get new math questions on the same material with an answer key and explanations. And if your prep book is a paper copy you can scan those pages into editable text first so nothing gets left out.
Treat it as an arithmetic checker, not a problem solver. It cannot set up the equation for you and it cannot do anything clever. Practice with a four-function calculator (the one on your computer works fine) so your fingers are used to the constraints before test day. Get comfortable computing percentages by hand as decimals, converting fractions to decimals, and squaring numbers by multiplying them out. Also, know when not to reach for it. A lot of Praxis Core math questions are faster to do mentally, and the seconds you spend clicking a calculator add up across 56 questions in 90 minutes.
Planning around a personal calculator. You cannot bring one. If your entire practice has been done with a graphing calculator, you are practicing a test that does not exist.
Ignoring numeric entry questions. They behave differently, they punish sloppy arithmetic, and you cannot backsolve them. Make sure your practice includes them.
Rereading instead of practicing. Reading a chapter on fractions feels productive and changes almost nothing. Working twenty fraction problems and reviewing your errors changes a lot. Recognition is not recall.
Not checking your state's score. This is the cheapest mistake to avoid and one of the most common. Look it up. Write it down. Aim above it, not at it, so a bad day still clears the bar.
Cramming the week before. Math skill rebuilds slowly. Six weeks of forty minutes a day beats one desperate weekend, every time.
Praxis Core math (5733) is 56 questions in 90 minutes, high school level content, with an on-screen four-function calculator and no personal calculator allowed. It is failed more often than the other subtests because candidates underestimate it and prepare by reading rather than practicing. Find your state's qualifying score first, rebuild number sense before you touch anything else, practice with numeric entry included, and finish with full timed sections. Generate a Praxis Core practice test from your own study guide, work fresh questions until the misses stop, and walk in knowing exactly what number you need.