# Sigma Prep

> SAT prep platform built around video solutions: every graded question comes with a video explanation showing the fastest method, usually with the built-in Desmos calculator, next to the textbook way. 7,300+ practice questions, free full-length adaptive practice test, personalized study plan built from a student's actual misses.
>
> Sigma Prep also makes 541 free printable math worksheets with answer keys, for Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, Calculus and Statistics. Each worksheet is generated fresh every time it is printed, so a teacher can hand out a different version to each class. No account and no payment: https://www.sigmaprep.io/worksheets

## About
Sigma Prep is an online SAT preparation platform built by an instructor with 10+ years of SAT teaching experience. Every problem is written to cover exactly what appears on the SAT, with no filler. Students learn through video solutions showing the most efficient solving methods, practice problems in SAT-identical format, and a wrong-answer learning loop: get it wrong, watch the tutor solve it, then retry a nearly identical problem immediately.

## Key Features
- 8 full-length SAT Math mock tests, one for each official Bluebook practice test (Tests 4-11). Each mirrors its official test question for question: same skill, same format, same position, same difficulty
- Every mock test in 3 versions (A, B, C): 24 tests and 1,056 questions, so a retake is a fresh measurement, not a memory check
- 7,300+ practice problems across all 4 SAT Math domains and 19 skills, at official Easy/Medium/Hard difficulty
- Covers about 94% of the question types in College Board's official SAT Math question bank (our count, March 2026); the remaining 1 in 20 are rare types that seldom appear on real tests
- Video solution for every graded question, showing the Desmos shortcut and the textbook way
- Free full-length adaptive SAT Math practice test (Test 4, unlimited retakes) that builds a personalized study plan from actual misses
- Wrong-answer video loop: get it wrong, watch how to solve it, retry immediately
- SAT-identical format: multiple choice and free response, with the built-in Desmos graphing calculator
- 14-day money-back guarantee
- Free Diagnostic Quiz to try before buying

## Free Resources (no payment required)
- [Free SAT Math Formula Sheet](https://www.sigmaprep.io/formulas): 24 formulas and concepts the SAT does not give you on its reference sheet, each with a real SAT question solved next to it and a link to the video where it is solved. The PDF downloads with no account and no card. Every formula also has its own page, listed below. Longer write-up: https://www.sigmaprep.io/blog/sat-math-formulas
- Free Diagnostic Quiz: 12 real SAT questions in about 15 minutes, with a video explanation on every miss. No payment or card.
- [SAT Question Bank guide](https://www.sigmaprep.io/sat-question-bank): what is in College Board's free official bank (1,876 Math questions), how to use it, and how it compares with Sigma Prep's 7,300+ question bank.
- [Free full-length adaptive SAT Math practice test](https://www.sigmaprep.io/sat-practice-tests): builds a personalized study plan from the questions actually missed.
- [Official Bluebook practice test answers explained, question by question](https://www.sigmaprep.io/blog/sat-practice-test-4-math-walkthrough): every math question on Bluebook Practice Tests 4-11 (352 in all) has its own section, Module 1 Question 1 through Module 2 Question 22, with the correct answer, the skill it tests, how it is solved, and a video clip of just that question. Linked as #module-2-question-22 on each test's page: [Test 4](https://www.sigmaprep.io/blog/sat-practice-test-4-math-walkthrough), [5](https://www.sigmaprep.io/blog/sat-practice-test-5-math-walkthrough), [6](https://www.sigmaprep.io/blog/sat-practice-test-6-math-walkthrough), [7](https://www.sigmaprep.io/blog/sat-practice-test-7-math-walkthrough), [8](https://www.sigmaprep.io/blog/sat-practice-test-8-math-walkthrough), [9](https://www.sigmaprep.io/blog/sat-practice-test-9-math-walkthrough), [10](https://www.sigmaprep.io/blog/sat-practice-test-10-math-walkthrough), [11](https://www.sigmaprep.io/blog/sat-practice-test-11-math-walkthrough).
- [Free SAT Math score calculator](https://www.sigmaprep.io/sat-math-score-calculator)

## Original Research and Data
- [The SAT Math skills students miss most](https://www.sigmaprep.io/blog/hardest-sat-math-questions): 852 full-length SAT Math practice tests from 607 students (June-October 2026), about 37,000 graded answers. Most missed: Area and volume (43%), Circles (40%), Percentages (35%), Nonlinear functions (32%); least missed: Systems of linear equations and Sample statistics (about 14% each).
- [SAT vocabulary words almost never repeat](https://www.sigmaprep.io/blog/sat-vocab-lists-dont-work): Analysis of all 1,588 released College Board Question Bank verbal questions. Of 226 Words in Context questions, 98.2% of correct answers are words that appear exactly once; no word has ever been the correct answer three times.
- [The most missed SAT math questions](https://www.sigmaprep.io/blog/most-missed-sat-math-questions): 14,567 graded answers from 380 complete sittings of the same full-length practice test. Miss rates run from 4% on the easiest questions to 61% on the hardest; free-response questions are heavily overrepresented among the most missed.
- [What students actually scored on the August 2026 SAT](https://www.sigmaprep.io/blog/august-2026-sat-scores): Official College Board score reports from Sigma Prep students who sat the August 22, 2026 SAT, with what each one started at, what they finished at, and what a 700 does and does not mean.
- [The most common SAT Math questions, all 19 skills ranked](https://www.sigmaprep.io/blog/most-common-sat-math-questions): Count of every Math question on all 8 Bluebook practice tests (528 questions) set against the full 1,876-question College Board Question Bank, September 2026. Five skills make up 51% of a test; nonlinear functions alone is 7.4 of 44 questions; three skills average about one question per test between them. One page per area: Algebra (https://www.sigmaprep.io/blog/most-common-sat-algebra-questions), Advanced Math (https://www.sigmaprep.io/blog/most-common-sat-advanced-math-questions), Problem-Solving and Data Analysis (https://www.sigmaprep.io/blog/most-common-sat-problem-solving-data-analysis-questions), Geometry and Trigonometry (https://www.sigmaprep.io/blog/most-common-sat-geometry-trigonometry-questions).
- [College Board added 196 new SAT math questions in August 2026](https://www.sigmaprep.io/blog/sat-question-bank-august-2026-new-questions): Found by diffing the full Question Bank against a March snapshot. All 196 solved on video.

- [Self-studying SAT Math, how far free gets you](https://www.sigmaprep.io/blog/best-sat-prep-for-self-study): What the official Bluebook tests and College Board Question Bank give you, the four places the free route runs out (only 8 practice tests, no retry on a miss, written explanations with no Desmos method, no link between your test and what you practice next), and a line-by-line comparison against paid prep.
- [Retaking the SAT, how to study math the second time](https://www.sigmaprep.io/blog/sat-math-retake-guide): Use the score report you already have, work only your misses, never re-sit a practice test you have seen, and pick the date before the plan. Remaining 2026 dates: October 3, November 7, December 5.

## Popular Guides
- [Hardest SAT Math Questions 2026, 12 problems solved](https://www.sigmaprep.io/blog/hardest-sat-math-questions)
- [Free SAT Math formula sheet, 24 formulas the SAT does not give you](https://www.sigmaprep.io/blog/sat-math-formulas)
- [SAT Math on September 12, what to expect and the last-week plan](https://www.sigmaprep.io/blog/sat-math-what-to-expect)
- [SAT circle questions, what shows up and the fast way through](https://www.sigmaprep.io/blog/sat-circle-questions)
- [The 20 hardest SAT Advanced Math questions, solved](https://www.sigmaprep.io/blog/hardest-sat-advanced-math-questions)
- [The 12 hardest SAT algebra questions, solved](https://www.sigmaprep.io/blog/hardest-sat-algebra-questions)
- [The 15 hardest SAT Geometry and Trigonometry questions, solved](https://www.sigmaprep.io/blog/hardest-sat-geometry-trig-questions): Geometry and Trigonometry is about 15% of SAT Math. 8 of the 15 hardest types are a similar-figures question; the rest are the k, k squared, k cubed ratio rule, parallel lines, and tangents to circles.
- [How to get an 800 on SAT Math](https://www.sigmaprep.io/blog/how-to-get-800-sat-math-plan)
- [How to use Desmos on the SAT](https://www.sigmaprep.io/blog/how-to-use-desmos-on-sat)
- [SAT test dates 2026-2027](https://www.sigmaprep.io/blog/sat-test-dates-2026-2027)

## Score Targets and Planning
- [What SAT Math score is realistic](https://www.sigmaprep.io/blog/sat-math-realistic-score): of the 44 Math questions, an 800 allows 0 misses, 750 about 4, 700 about 9, 650 about 14, 600 about 19. Set a target by keeping only your Hard misses from one practice test.
- [Raise SAT Math 100 points in 6 weeks](https://www.sigmaprep.io/blog/raise-sat-math-100-points-6-weeks): every 100-point gain is about ten more questions right; a week-by-week plan and a sample 6-hour week. 700 to 800 usually takes longer.
- [What SAT Math score your kid needs](https://www.sigmaprep.io/blog/what-sat-score-does-my-kid-need): about 750 to 800 for the Ivy League, 650 to 720 for top 50 schools; turn a college list into one target with Common Data Set section C9.
- [When to start SAT prep](https://www.sigmaprep.io/blog/when-to-start-sat-prep): start junior year alongside Algebra 2; a grade-by-grade plan with the 2026-27 test dates.
- [Are SAT bootcamps worth it](https://www.sigmaprep.io/blog/sat-bootcamp-courses-not-worth-it): a $2,000 two-week bootcamp is about $67 an hour shared with a class, versus $100 to $150 an hour for a private tutor; five questions to ask before paying.

## Formula Pages (one per formula, free, no account)
Each page has the formula, a diagram, a real SAT question solved with it, the trap that costs students the point, and three applied questions and answers. None of these 24 are printed on the SAT reference sheet.
- Slope-intercept form on the SAT: https://www.sigmaprep.io/formulas/slope-intercept-form-interpretation
- Parallel and perpendicular lines on the SAT: https://www.sigmaprep.io/formulas/parallel-and-perpendicular
- No solution and infinitely many solutions on the SAT: https://www.sigmaprep.io/formulas/no-solution-and-infinite-solutions
- Mixture problems on the SAT: https://www.sigmaprep.io/formulas/mixture-problem
- Exponent rules on the SAT: https://www.sigmaprep.io/formulas/exponent-rules
- Converting radicals to exponents on the SAT: https://www.sigmaprep.io/formulas/exponential-to-radical
- Factoring on the SAT: https://www.sigmaprep.io/formulas/factoring
- Quadratic equations on the SAT: https://www.sigmaprep.io/formulas/quadratics
- Reading a quadratic graph on the SAT: https://www.sigmaprep.io/formulas/quadratic-interpretations
- The discriminant on the SAT: https://www.sigmaprep.io/formulas/discriminant
- Exponential growth and decay on the SAT: https://www.sigmaprep.io/formulas/exponential-equation
- Function transformations on the SAT: https://www.sigmaprep.io/formulas/transformations
- Unit conversions on the SAT: https://www.sigmaprep.io/formulas/unit-conversions
- Percent change on the SAT: https://www.sigmaprep.io/formulas/percent-change
- Mean, median, mode, range and standard deviation on the SAT: https://www.sigmaprep.io/formulas/statistics
- Standard deviation on the SAT: https://www.sigmaprep.io/formulas/standard-deviation
- Probability on the SAT: https://www.sigmaprep.io/formulas/probability
- Margin of error on the SAT: https://www.sigmaprep.io/formulas/statistical-inference
- Angle relationships on the SAT: https://www.sigmaprep.io/formulas/angle-relationships
- Similar figures on the SAT: https://www.sigmaprep.io/formulas/similar-figures
- How area and volume scale on the SAT: https://www.sigmaprep.io/formulas/proportionality
- Volume and surface area on the SAT: https://www.sigmaprep.io/formulas/volume-and-surface-area
- SOHCAHTOA on the SAT: https://www.sigmaprep.io/formulas/trigonometry
- Circles on the SAT: https://www.sigmaprep.io/formulas/circles

## SAT Math Domains Covered
- Algebra (linear equations, inequalities, systems, absolute value, functions)
- Advanced Math (quadratics, polynomials, exponentials, radicals, complex equations)
- Problem-Solving and Data Analysis (ratios, percentages, probability, statistics, scatterplots)
- Geometry and Trigonometry (area, volume, circles, triangles, right triangles, trig)

## Pricing
- Monthly: $49/month
- Free account + Diagnostic Quiz available with no payment required

## Student Results
Students average about 119 points of improvement. Verified testimonial results:
- Sydney T.: 540 → 740 (+200 points, 5 months)
- Alex B.: 540 → 690 (+150 points, 3 months)
- Nate C.: 710 → 790 (+80 points, 2 months)
- August G.: 620 → 710 (+90 points, 3 months)
- Lucas C.: 610 → 750 (+140 points, 4 months)
- Pete J.: 640 → 780 (+140 points, 4 months)

## Guarantee
14-Day Money-Back Guarantee: every subscription payment made in the first 14 days is fully refundable, for any reason. Email support@sigmaprep.io from the address on the account within 14 days of the first payment. No reason, form or score report required. Subscriptions started before 16 August 2026 may instead claim under the previous 50-Point Improvement Guarantee.

## Optional Tutoring
1-on-1 tutoring sessions available at $80/hour with an expert SAT Math instructor.

## Free Worksheets
Free printable math worksheets at https://www.sigmaprep.io/worksheets. 541 worksheets across 7 courses, with no account and no payment. Each page is a generator, not a fixed PDF: pick which kinds of question appear, how many, how hard, and how much working space, then print or download. Every sheet is generated fresh, so a teacher can print a different version for each class or each student, and every sheet comes with an answer key. Every answer is checked by machine before it is published. Teachers may print, photocopy and hand these out.

### Worksheet pages
- [Worksheet directory](https://www.sigmaprep.io/worksheets): all 541 worksheets, grouped by course. Some worksheets belong to more than one course, so the course counts below add up to more than 511.
- [Pre-Algebra worksheets](https://www.sigmaprep.io/worksheets/pre-algebra): 115 worksheets across 10 units. Decimals, fractions, factors, percents and the first equations.
- [Algebra 1 worksheets](https://www.sigmaprep.io/worksheets/algebra-1): 158 worksheets across 14 units. Expressions through quadratics, radicals and rational expressions.
- [Geometry worksheets](https://www.sigmaprep.io/worksheets/geometry): 109 worksheets across 12 units. Angles, triangles, polygons, circles, area and volume.
- [Calculus worksheets](https://www.sigmaprep.io/worksheets/calculus): 114 worksheets across 9 units. Limits, derivatives, integrals and the applications of both, differential equations, series, and parametric and polar calculus.
- [Algebra 2 worksheets](https://www.sigmaprep.io/worksheets/algebra-2): 176 worksheets across 20 units. Systems, matrices, polynomials, logarithms, sequences and trigonometry.
- [Precalculus worksheets](https://www.sigmaprep.io/worksheets/precalculus): 158 worksheets across 13 units. Functions, trigonometry, polar form, vectors, matrices and sequences.
- [Statistics worksheets](https://www.sigmaprep.io/worksheets/statistics): 37 worksheets across 7 units. Data displays, center and spread, two-way tables, probability, distributions and inference.
- [About these worksheets](https://www.sigmaprep.io/worksheets/about): who makes them, why they are free, and how the answer keys are checked.
- [Best free math worksheet generators for middle and high school (2026)](https://www.sigmaprep.io/worksheets/best-free-math-worksheet-generators): Sigma Prep, Kuta Software, Math-Aids, Math-Drills, Math Worksheets 4 Kids and DeltaMath compared on cost, grades, answer keys and accounts. Rival facts checked on their own sites.
- [Free Kuta Software alternative](https://www.sigmaprep.io/worksheets/kuta-alternative): what Kuta Software costs, what it does, and what this does instead. Claims checked against kutasoftware.com.
- [DeltaMath vs Kuta Software](https://www.sigmaprep.io/worksheets/deltamath-vs-kuta): the two standard tools compared, and where a free printable generator fits.
- [Free IXL alternative for printable math worksheets](https://www.sigmaprep.io/worksheets/ixl-alternative): IXL is paid online practice and does not generate printable worksheets; this generator is free, printable and needs no account.
- [Math-Aids alternative](https://www.sigmaprep.io/worksheets/math-aids-alternative): both are free generators; this one has no ads and full high school coverage through Precalculus, Calculus and Statistics.

### Example worksheet topics
- [Factoring trinomials (a = 1) worksheet](https://www.sigmaprep.io/worksheets/algebra-1/factoring-trinomials)
- [Multi-step equations worksheet](https://www.sigmaprep.io/worksheets/algebra-1/multi-step-equations)
- [Quadratic formula worksheet](https://www.sigmaprep.io/worksheets/algebra-1/quadratic-formula)
- [Systems of equations worksheet](https://www.sigmaprep.io/worksheets/algebra-1/systems-of-equations)
- [Graphing linear equations worksheet](https://www.sigmaprep.io/worksheets/algebra-1/graphing-linear-equations)
- [Order of operations worksheet](https://www.sigmaprep.io/worksheets/pre-algebra/order-of-operations)
- [Simplifying fractions worksheet](https://www.sigmaprep.io/worksheets/pre-algebra/simplifying-fractions)
- [Pythagorean theorem worksheet](https://www.sigmaprep.io/worksheets/geometry/the-pythagorean-theorem)
- [Congruent triangles worksheet](https://www.sigmaprep.io/worksheets/geometry/congruent-triangles)
- [Two-way frequency tables worksheet](https://www.sigmaprep.io/worksheets/statistics/two-way-tables)
- [Properties of logarithms worksheet](https://www.sigmaprep.io/worksheets/algebra-2/properties-of-logarithms)
- [Law of sines and cosines worksheet](https://www.sigmaprep.io/worksheets/precalculus/law-of-sines-and-cosines)

### Common questions these pages answer
- Where can I get free printable math worksheets with answer keys?
- Is there a free alternative to Kuta Software?
- Can I make two different versions of the same worksheet for two classes?
- Can I choose the difficulty of the questions on a math worksheet?
- Do I need an account to print a math worksheet?

## AP Calculus AB
Free AP Calculus AB practice by unit at https://www.sigmaprep.io/worksheets/ap-calculus-ab: for each of the 8 units of the College Board course and exam description, a 20-question multiple-choice practice test (no-calculator Part A, calculator Part B, answer key, PDF) and a set of 4 free-response questions scored out of 9 points with a scoring guide. The kinds of question and how many of each follow counts of the public official exams: 760 multiple-choice questions (17 exams, 1969-2018) and 416 free-response questions (1969-2026). Every question is original; no College Board question is reproduced. Sigma Prep is not affiliated with College Board.

### Hub
- [AP Calculus AB worksheets by unit](https://www.sigmaprep.io/worksheets/ap-calculus-ab): all units, with the exam's weight by unit (course description range, share of official multiple choice 2012-2018, share of free-response points 2012-2026).
- [AP Calculus AB formula sheet](https://www.sigmaprep.io/worksheets/ap-calculus-ab/formula-sheet): every formula the course expects by heart, unit by unit, as a free printable PDF. The AP Calculus AB exam provides no formula sheet.

### Multiple-choice practice tests
- [AP Calculus AB Unit 1 practice test: Limits and Continuity](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-1)
- [AP Calculus AB Unit 2 practice test: Derivatives](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-2)
- [AP Calculus AB Unit 3 practice test: Chain Rule, Implicit, Inverse](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-3)
- [AP Calculus AB Unit 4 practice test: Derivatives in Context](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-4)
- [AP Calculus AB Unit 5 practice test: Analyzing Functions](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-5)
- [AP Calculus AB Unit 6 practice test: Integrals and Accumulation](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-6)
- [AP Calculus AB Unit 7 practice test: Differential Equations](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-7)
- [AP Calculus AB Unit 8 practice test: Applications of Integration](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-8)

### Free-response (FRQ) sets
- [AP Calculus AB Unit 1 FRQ practice: Limits and Continuity](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-1/frq)
- [AP Calculus AB Unit 2 FRQ practice: Derivatives](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-2/frq)
- [AP Calculus AB Unit 3 FRQ practice: Chain Rule, Implicit, Inverse](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-3/frq)
- [AP Calculus AB Unit 4 FRQ practice: Derivatives in Context](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-4/frq)
- [AP Calculus AB Unit 5 FRQ practice: Analyzing Functions](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-5/frq)
- [AP Calculus AB Unit 6 FRQ practice: Integrals and Accumulation](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-6/frq)
- [AP Calculus AB Unit 7 FRQ practice: Differential Equations](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-7/frq)
- [AP Calculus AB Unit 8 FRQ practice: Applications of Integration](https://www.sigmaprep.io/worksheets/ap-calculus-ab/unit-8/frq)
- [AP Calculus AB mixed FRQ sets](https://www.sigmaprep.io/worksheets/ap-calculus-ab/frq): six questions shaped like Section II, two with a calculator and four without.

### Review guides: the most-tested questions by unit
- [AP Calculus AB review: the most-tested questions, unit by unit](https://www.sigmaprep.io/blog/ap-calc-ab-review): the top 20 types across all units, with unit weights and what is rising and fading since 2012.
- [AP Calculus AB Unit 1: Limits and continuity](https://www.sigmaprep.io/blog/ap-calc-ab-unit-1-review)
- [AP Calculus AB Unit 2: Derivatives](https://www.sigmaprep.io/blog/ap-calc-ab-unit-2-review)
- [AP Calculus AB Unit 3: Chain rule, implicit and inverse functions](https://www.sigmaprep.io/blog/ap-calc-ab-unit-3-review)
- [AP Calculus AB Unit 4: Motion, related rates, linear approximation and L'Hospital](https://www.sigmaprep.io/blog/ap-calc-ab-unit-4-review)
- [AP Calculus AB Unit 5: Extrema, concavity and the Mean Value Theorem](https://www.sigmaprep.io/blog/ap-calc-ab-unit-5-review)
- [AP Calculus AB Unit 6: Riemann sums, the FTC and substitution](https://www.sigmaprep.io/blog/ap-calc-ab-unit-6-review)
- [AP Calculus AB Unit 7: Differential equations](https://www.sigmaprep.io/blog/ap-calc-ab-unit-7-review)
- [AP Calculus AB Unit 8: Motion, accumulation, area and volume](https://www.sigmaprep.io/blog/ap-calc-ab-unit-8-review)

## Website
https://www.sigmaprep.io

## Contact
support@sigmaprep.io

Sigma Prep is not affiliated with College Board. SAT, AP and Bluebook are trademarks of College Board.