SAT Practice, Review and Reference Study Guide
Prepare for SAT Math. Work through targeted or mixed practice, rehearse Math modules and review your errors. Choose a lesson below, or try a practice set to check your skills.
All lessons
6 lessons
About this guide
Six complete sections, 90 worked examples, 78 targeted and mixed questions, two full 44-question additional Math tests, a mastery system, and a formula and notation reference.
How to use this guide
This capstone turns the seven earlier guides into a repeatable practice system. It is not another content domain. Use it to find a specific gap, repair the gap, and test whether the repair survives a fresh question without a chapter heading giving away the method.
Three kinds of work, three different purposes
Targeted practice Learn or repair a particular skill. Hints, notes, and untimed work can be appropriate, but record their use.
Mixed practice Choose the skill and method yourself. Work with lessons closed before checking the explanations.
Timed rehearsal Measure what you can produce with fixed time, permitted tools, and genuine module boundaries. Preserve the original responses.
What is included
There are 90 worked examples, probes, and review cases: 15 in each of six sections. Examples 3.11–3.15 and 5.13–5.15 are labeled workflow scenarios. Section 4 contains 15 flawed-solution case studies; these are diagnostic learning tasks, not ordinary SAT multiple-choice questions.
There are also 166 independent questions: 48 targeted questions, 30 mixed questions, and 88 questions in two full-length Math-section rehearsals. Every independent question has a correct answer, an explanation, a skill tag, and a link back to a relevant worked example or reference page. These counts do not include the worked examples a second time.
Protect the practice from spoilers Solutions stay hidden until you choose to review them. Open a solution only after you have recorded an answer and your method. A recognized answer is not the same evidence as a fresh, independent solution.
What these rehearsals do not claim
Both rehearsals are original, fixed, nonadaptive Math practice. They are not official SAT forms, are not psychometrically calibrated, do not reproduce Reading and Writing, and cannot yield a supported 200–800 score conversion. Difficulty labels elsewhere in this guide are instructional judgments, not official classifications.
The SAT itself is adaptive, and students with the same number correct can earn different scores because question characteristics matter. Use raw results here as learning evidence, not a substitute for an official scaled score. [3]
Choose your starting route
Your current evidence | Start here |
|---|---|
You cannot reliably start a familiar topic | Section 1, then the corresponding earlier content guide. Work untimed until your first step is justified. |
You do well when the topic is named but struggle on mixed sets | Section 2. Record a one-line method choice before solving. |
You know the mathematics but lose answers under time pressure | Section 3. Track unfinished work, wrong entries, and slow correct answers separately. |
You repeat the same mistake | Section 4. Diagnose the first invalid step and write a replacement behavior. |
You are unsure what is actually mastered | Section 5. Use fresh-item evidence across representations and on a later day. |
You remember a formula but use it in the wrong situation | Section 6. Attach units, conditions, and the requested variable to the formula. |
A suggested sequence
Begin with one fresh mixed set, not by rereading the entire guide. Use the misses to select targeted questions. Review the relevant worked examples, then solve a different question without help. After repairing the clearest patterns, take Rehearsal 1. Review it fully before taking Rehearsal 2 on another day.
For a digital-environment check, use a fresh official Bluebook practice test. Full-length Bluebook practice is scored; the short test preview is untimed and does not provide answer feedback or scores. [4]
Record more than right or wrong
Next to each practice ID, record your answer, confidence, approximate time, and whether you used help. Keep a wrong answer with good reasoning distinct from a lucky correct answer with no defensible method. Both need review, but for different reasons.
How much practice is enough? There is no guaranteed question count. A useful working standard is independent success on fresh questions that change the numbers, representation, or target, followed by a later mixed check. The schedules and evidence levels in this guide are adjustable study recommendations, not official thresholds or score promises.
Edition and navigation
Testing facts were checked against official College Board sources in September 2026. Recheck current calculator rules, device instructions, and approved accommodations before your actual test. Use the guide navigation, worked-example links, and question-to-solution links to move directly to the material you need.
Additional Math tests
Each test has two 22-question modules. Each module allows 35 minutes. Answers remain hidden until you finish.