This Praxis 5165 cheat sheet distills ETS's Mathematics: Content Knowledge test into a printable rundown of the formulas and facts examiners test most. 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 Praxis 5165 toolkit: the practice test, study guide, and flashcards.
Praxis 5165 exam at a glance
- Questions: 66 selected-response (may include unscored items)
- Time: 150 minutes of testing within a 3-hour appointment
- Score scale: 100–200 scaled; each state sets its own cut score
- Cost: Registration fee in the low-to-mid $100s (verify current price at ETS)
- Cert body: ETS (Educational Testing Service)
What’s on the Praxis 5165 cheat sheet
- Number & Quantity and Algebra (~30%) — real and complex numbers, the quadratic formula and discriminant, systems, exponent laws, and equivalent expressions — the engine of the test.
- Functions and Calculus (~30%) — function notation, domain and range, function families and transformations, limits, derivatives (power and chain rules), and basic integrals.
- Geometry (~20%) — Pythagorean theorem and special right triangles, SOH-CAH-TOA, congruence and similarity, and circle and coordinate-geometry formulas.
- Statistics & Probability (~20%) — mean, median, and standard deviation, the normal model, and probability rules including independent, overlapping, and conditional events.
How to use it in your final week
- Front-load Algebra, Functions, and Calculus — together they make up roughly 60% of the 66 questions, so the sheet's equation, function, and derivative rules move your score the most.
- Refresh the areas you last touched years ago: get the geometry formulas (Pythagorean theorem, special right triangles, circle area) and the statistics rules automatic so those points come fast.
- Practice with the on-screen graphing calculator, not a handheld one — the sheet flags which computations to offload to it during your 150-minute test.
- Read the sheet the morning of the test for a final pass on the highest-yield formulas, then pair each review with a short timed practice set to keep your pacing sharp.
The cheat sheet is your review layer — your Praxis 5165 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 5165 cheat sheet FAQ
Yes — the Praxis 5165 cheat sheet is 100% free to download as a PDF, with no sign-up required. It's part of Career Employer's free Praxis 5165 toolkit alongside the practice test, study guide, and flashcards.
The cheat sheet condenses the highest-yield secondary-math formulas and facts into a quick reference: the quadratic formula and discriminant, slope and line rules, derivative and integral basics, right-triangle trig and circle formulas, and the core statistics and probability rules — organized by the four content categories ETS weights the test around.
It's built from ETS's current Mathematics (5165) Study Companion and Test at a Glance, and we review it against the official ETS materials regularly so the content categories and formulas match the live exam.
No — the cheat sheet is a review and final-week cram aid, not a substitute for working full-length practice. The 5165 is scored on a 100–200 scale and each state sets its own cut score, so use the sheet to lock in formulas and the practice test to see exactly where your score stands.
Click the download button (or the preview card) at the top of this page to open the PDF instantly. Bookmark this page so you can find it again in your final week before the test.
References
- 1.ETS. “Praxis Mathematics (5165) — Test at a Glance.” praxis.ets.org, 2026. ↑
- 2.ETS. “The Praxis Study Companion: Mathematics (5165).” praxis.ets.org. ↑
- 3.ETS. “Praxis Tests — Understanding Your Scores.” ets.org. ↑
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