This Praxis 5164 cheat sheet squeezes the entire Middle School Mathematics test into a printable quick reference of the formulas and facts ETS leans on hardest. It's a premium cheat sheet built by Capital Prep — the one premium prep we trust — and it's yours free. Reinforce it with the rest of your free 5164 toolkit: the practice test, study guide, and flashcards.
Praxis 5164 exam at a glance
- Test provider: Educational Testing Service (ETS)
- Questions: 66 selected-response and numeric-entry
- Time: 180 minutes (3 hours), one section
- Passing score: Set by each state (commonly ~157–165 on the 100–200 scale)
- Cost: $130 ETS test fee (subject to change — verify at registration)
- Calculator: On-screen graphing calculator and formula sheet provided
What’s on the Praxis 5164 cheat sheet
- Numbers & Operations (~24%, ~16 Qs) — integers, fractions, decimals, percents, ratios and proportions, factors and multiples, exponents, and order of operations.
- Algebra (~23%, ~15 Qs) — expressions and the distributive property, linear equations, inequalities, and systems of equations.
- Geometry & Measurement (~20%, ~13 Qs) — angles and triangles, perimeter, area and volume formulas, the Pythagorean theorem, and similarity.
- Functions (~17%, ~11 Qs) — function notation, domain and range, slope and linear functions, and quadratic and exponential functions.
- Statistics & Probability (~17%, ~11 Qs) — mean, median and mode, spread, data displays, probability, and counting — plus the ~30% Task of Teaching items woven throughout.
How to use it in your final week
- Front-load Numbers and Operations plus Algebra — together they are nearly half the 66 questions, so fluency there moves your score most.
- Drill the formula strip until it is automatic: rectangle area lw, triangle ½bh, circle πr² (circumference 2πr), cylinder volume πr²h, and the Pythagorean theorem a² + b² = c².
- Rehearse the teaching-task angle — about 30% of items ask you to diagnose why a student's work is wrong, so practice spotting the error, not just computing the answer.
- Read the sheet the morning of the test for a final pass on the exponent rules, PEMDAS, and the mean-vs-median outlier reminder, then pair it with one short timed practice set to keep pacing sharp.
The cheat sheet is your review layer — your Praxis 5164 practice test drives the exam-readiness ring at the top of this page. Download it, review, then take a full practice exam (or drill with the study guide and flashcards) to see where you stand.
Praxis 5164 cheat sheet FAQ
Yes — the Praxis Middle School Mathematics (5164) cheat sheet is a free PDF download with no sign-up or account required. It sits alongside Career Employer's free 5164 practice test, study guide, and flashcards, so your whole prep stack costs nothing.
The sheet condenses the highest-yield facts across all five ETS content categories — Numbers and Operations, Algebra, Functions, Geometry and Measurement, and Statistics and Probability — plus the core formulas, exponent rules, and the reminder that about 30% of questions apply math inside a teaching scenario.
There is no single national passing score. Each state or licensing agency sets its own qualifying score on the 100 to 200 scale, most commonly in the 157 to 165 range. Confirm the exact cut score for the state where you plan to teach before you sit the exam.
No — the cheat sheet is a fast review and final-week cram layer, not a full course. Because the 5164 spans the entire middle-grades curriculum plus teaching-applied items, you still need worked practice; use the sheet to lock in formulas and the practice test to build readiness.
Click the download button or the preview card near the top of this page and the PDF opens instantly — no email gate. Bookmark this page so you can pull the sheet up again the morning of your test.
References
- 1.ETS. “Middle School Mathematics (5164) — Test Overview.” praxis.ets.org, 2026. ↑
- 2.ETS. “The Praxis Study Companion — Middle School Mathematics (5164).” praxis.ets.org. ↑
- 3.ETS. “Praxis Passing Score Requirements (set by state).” praxis.ets.org. ↑
- 4.ETS. “Praxis Fees for Test Takers.” ets.org. ↑

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