The Digital SAT Math Formula Sheet You’ll Ever Need

WuKong’s Expert Guide to Mastering Formulas for a Top Score

Tired of flipping through endless pages or confusing websites to find the right SAT Math formula?

You know you need to memorize them, but a long, unstructured list feels overwhelming. What if you had a perfectly organized, easy-to-use formula guide that also taught you how to actually use each one?

Welcome to WuKong Education’s ultimate categorized formula sheet — built from official College Board sources and refined by our expert SAT math team. We’ve done the hard work for you: collecting, categorizing, and explaining every essential formula you’ll need to conquer the Digital SAT Math section.

This isn’t just a list; it’s your strategic toolkit — complete with memory tricks, example questions, and practice drills that make formulas stick.

Below, you’ll find:

• A visual formula map to guide your study
• Detailed category breakdowns with tips and pitfalls
• Integrated practice questions to test understanding
• A link to download your free printable PDF version

Your Digital SAT Math Formula Map: A Visual Guide

Think of your formulas as a connected system, not isolated facts. The SAT tests your ability to apply them across multiple topics. Here’s how they connect:

Of course — here’s your chart rewritten clearly in plain text:

Digital SAT Math Formula Map

1. Algebra & Functions Includes Linear Equations and Inequalities as well as Quadratic and Polynomial Relationships. This area covers the heart of algebraic manipulation, functional relationships, and equation solving — essential for mastering the “Heart of Algebra” and “Passport to Advanced Math” domains.
2. Geometry & Measurement Covers Plane and Coordinate Geometry, Volume, and 3D Figures. These concepts focus on spatial reasoning, geometric formulas, and how to apply them efficiently in visual problems.
3. Data Analysis & Probability Includes Statistics, Ratios, and Probability. These problems often test your ability to interpret graphs, tables, and data trends — a vital part of the “Problem Solving and Data Analysis” category.
4. Real-World Applications Focuses on Integrated Problems and Mixed Concepts, where multiple formulas and reasoning steps come together in word problems. This is where understanding context, units, and relationships makes the difference between a near-miss and a perfect score.

Formula Category 1: The Algebra & Functions Toolkit

Algebra is the foundation of SAT Math. Over half the section tests your ability to manipulate equations and interpret functions.

Linear Equations & Inequalities

Key Formulas:

• Slope formula: ( m = frac{y_2 – y_1}{x_2 – x_1} )
• Slope-intercept form: ( y = mx + b )
• Point-slope form: ( y – y_1 = m(x – x_1) )
• Inequalities: if ( a < b ), then ( a + c < b + c ), and if ( a < b ), multiplying by a negative reverses the sign.

Memory Hack: Think “SIB” — Slope, Intercept, Base form. If you forget, just visualize a line climbing a hill — its slope and starting point (intercept) define its path.

Example Question: A line passes through (2,3) and (6,11). Find its slope. → ( m = (11 – 3) / (6 – 2) = 8 / 4 = 2 )

Common Pitfall: Forgetting to reverse the inequality sign when multiplying by a negative number — a common SAT trap.

Quadratics & Polynomials

Key Formulas:

• Standard form: ( ax^2 + bx + c = 0 )
• Quadratic formula: ( x = frac{-b ± sqrt{b^2 – 4ac}}{2a} )
• Factoring pattern: ( a^2 – b^2 = (a + b)(a – b) )
• Vertex form: ( y = a(x – h)^2 + k )

Memory Trick: The quadratic formula rhythm: 🎵 “x equals negative b, plus or minus square root, b-squared minus four a c, all over 2a…” 🎵

Example Question: If ( y = x^2 – 4x + 3 ), find the vertex. → ( h = 2, k = -1 ). Vertex = (2, -1)

Formula Category 2: Geometry & Spatial Reasoning

Geometry questions test your visualization and formula application under time pressure.

Plane Geometry

Core Formulas:

• Area of triangle: ( A = frac{1}{2}bh )
• Area of circle: ( A = pi r^2 )
• Circumference: ( C = 2pi r )
• Pythagorean theorem: ( a^2 + b^2 = c^2 )

Memory Hack: Remember “All Circles Chill Perfectly” → Area, Circumference, Circle, Pythagorean.

Example: A circle has a radius of 3. What’s its area? → ( pi(3^2) = 9pi )

Common Pitfall: Mixing up area and circumference formulas under pressure — a simple but costly slip.

Coordinate Geometry

Formulas to Know:

• Distance: ( sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2} )
• Midpoint: ( (frac{x_1 + x_2}{2}, frac{y_1 + y_2}{2}) )
• Circle equation: ( (x – h)^2 + (y – k)^2 = r^2 )

Example: Find the midpoint between (1, 2) and (7, 6): → ( (4, 4) )

Solid Geometry (3D Shapes)

Must-Know Formulas:

• Volume of a rectangular prism: ( V = lwh )
• Volume of cylinder: ( V = pi r^2 h )
• Volume of sphere: ( V = frac{4}{3}pi r^3 )
• Surface area of sphere: ( A = 4pi r^2 )

Memory Hack: Visualize stacking — prism (straight stack), cylinder (circular stack), sphere (infinite rotation).

Formula Category 3: Data Analysis & Probability

Statistics Essentials

• Mean = ( frac{text{sum of data}}{text{number of data points}} )
• Median = middle value in ordered set
• Mode = most frequent value
• Range = highest – lowest

Standard Deviation Tip: Greater spread = larger deviation. You’ll rarely calculate it, but must interpret it.

Probability & Combinations

• Probability: ( P(A) = frac{text{favorable outcomes}}{text{total outcomes}} )
• Complementary rule: ( P(A’) = 1 – P(A) )
• Combination: ( C(n, r) = frac{n!}{r!(n-r)!} )

Memory Trick: Think “C stands for Choose.” Combinations = counting choices, not order.

Pro Tip: Combining Formulas to Solve Tough Problems

Example Integrated Question: A cone and a cylinder have the same base radius and height. If the cylinder’s volume is ( 120pi ), what’s the cone’s volume? → ( V_{text{cone}} = frac{1}{3}V_{text{cylinder}} = 40pi ).

This is how SAT integrates geometry ratios with formula understanding — the key to upper-difficulty module questions.

Test Your Knowledge: Digital SAT Style Practice

Q1. The line ( y = 2x + 5 ) is parallel to which of the following? A. ( y = -2x + 1 ) B. ( y = 2x – 3 ) C. ( y = frac{1}{2}x + 5 ) D. ( y = -frac{1}{2}x – 1 ) ✅ Answer: B (same slope = parallel).

Q2. The area of a circle is ( 36pi ). What is its circumference? ✅ Radius = 6 → Circumference = ( 2pi(6) = 12pi ).

Conclusion: Turn Your Formula List into a Formula Toolkit

Mastering these categorized formulas is a huge step toward Digital SAT Math success. Remember — understanding why they work is just as powerful as memorizing how they look.

At WuKong Education, our teachers specialize in breaking down complex concepts into manageable, memorable parts — just like this guide. We offer personalized instruction, adaptive quizzes, and real test simulations to strengthen both memory and application.

📘 Download your free, printable PDF of the complete categorized formula sheet now! And if you want a learning plan tailored to your needs, schedule a free consultation with a WuKong SAT math expert today.

FAQs about SAT Math Formulas

Q: Is this formula sheet updated for the Digital SAT? A: Yes! This guide is fully aligned with the Digital SAT format and verified by WuKong’s curriculum team.

Q: How is this formula sheet different from others online? A: It’s categorized by application, includes expert memory hacks, and integrates practice drills. It’s a learning system — not just a list.

Q: Can I get a printable version? A: Absolutely! Click the download link above to get your free, printer-friendly PDF.

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Demi | WuKong Math Teacher

I am an educator from Yale University with ten years of experience in this field. I believe that with my professional knowledge and teaching skills, I will be able to contribute to the development of Wukong Education. I will share the psychology of children’s education and learning strategies in this community, hoping to provide quality learning resources for more children.