Ultimate SAT Math Formula Sheet 2025: Every Equation You Need for Test Day
The SAT Math section has changed in 2025, moving to a digital format with 44 questions split across two 35-minute modules. Here’s what you need to know:
- Key Math Areas: Algebra (~35%), Advanced Math (~35%), Problem Solving & Data Analysis (~15%), Geometry & Trigonometry (~15%).
- Provided Formulas: Includes geometry basics like area, volume, and the Pythagorean theorem.
- Must-Memorize Formulas: Algebra (e.g., slope-intercept form), advanced math (e.g., exponential growth), and statistics (e.g., mean, probability).
- New Features: Built-in calculator, adaptive testing, and a reference sheet for key formulas.
Quick Tips:
- Focus on Application: Practice using formulas efficiently to save time.
- Memorize Critical Formulas: Some are not provided during the test.
- Organize Scratch Paper: Write formulas and calculations clearly to stay accurate.
Knowing formulas isn’t enough - you need to practice applying them. Start with the basics, then work on mastering problem-solving techniques. Let’s dive into the details.
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Digital SAT Math Formula Bible - 34 ESSENTIAL Formulas ...
Math Formulas by Topic
Knowing how and when to use formulas is essential for solving problems effectively. Here’s a breakdown of key formulas by topic that you'll need on test day.
Algebra
Here are some important algebraic formulas:
| Formula Type | Formula | Common Applications |
|---|---|---|
| Linear Equations | y = mx + b | Finding slope, graphing lines, and predicting values |
| Quadratic Formula | x = (-b ± √(b² - 4ac)) / 2a | Solving quadratic equations |
| Slope | m = (y₂ - y₁) / (x₂ - x₁) | Analyzing rate of change, parallel, or perpendicular lines |
Geometry
These geometry formulas help solve problems involving shapes and measurements:
| Shape | Formula | Additional Applications |
|---|---|---|
| Circle | A = πr² | Circumference: C = 2πr |
| Rectangle | A = l × w | Perimeter: P = 2l + 2w |
| Triangle | A = ½bh | Pythagorean Theorem: a² + b² = c² |
| Right Circular Cylinder | V = πr²h | Surface Area: SA = 2πr² + 2πrh |
| Sphere | V = 4/3πr³ | Surface Area: SA = 4πr² |
Problem Solving and Data
These formulas are useful for analyzing data and solving practical problems:
| Concept | Formula | Use Case |
|---|---|---|
| Mean | Average = Sum/Count | Understanding datasets |
| Probability | P(event) = favorable outcomes/total outcomes | Calculating likelihoods |
| Percent Change | % Change = (Change/Original) × 100 | Measuring growth or reduction |
| Proportion | a/b = c/d | Solving ratios and scaling problems |
Advanced Math
For more complex algebraic concepts, these formulas are key:
| Topic | Key Formula | Application |
|---|---|---|
| Function Notation | f(x) = expression | Understanding input-output relationships |
| Exponential Growth | y = ab^x | Modeling population or compound growth |
| Polynomial Operations | (a + b)² = a² + 2ab + b² | Expanding and simplifying expressions |
| Factoring | a² - b² = (a+b)(a-b) | Simplifying using the difference of squares |
Trigonometry
Some basic trigonometric formulas include:
| Ratio | Formula | Common Angles |
|---|---|---|
| Sine | sin θ = opposite/hypotenuse | sin 30° = ½ |
| Cosine | cos θ = adjacent/hypotenuse | cos 45° = 1/√2 |
| Tangent | tan θ = opposite/adjacent | tan 60° = √3 |
To see these formulas in context, refer to the official SAT formula sheet.
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Official SAT Formula Sheet Contents
This section highlights the formulas included on the official SAT formula sheet and those you’ll need to memorize. Knowing which formulas are provided and which require memorization can help you prepare effectively.
Provided Formulas
The official SAT sheet includes these geometry formulas:
| Category | Formulas Included |
|---|---|
| Circle | Area: A = πr², Circumference: C = 2πr |
| Rectangle | Area: A = lw, Perimeter: P = 2l + 2w |
| Triangle | Area: A = ½bh, Pythagorean Theorem: a² + b² = c² |
| Volume | Rectangular Solid: V = lwh, Cylinder: V = πr²h |
While these are provided during the test, familiarity with them beforehand can save valuable time.
Required Memorization
These formulas are NOT included on the official sheet, so you’ll need to memorize them:
| Category | Must-Memorize Formulas |
|---|---|
| Algebra | Slope-intercept: y = mx + b, Point-slope form |
| Quadratics | Standard form: ax² + bx + c, Vertex form |
| Growth/Decay | Exponential functions: y = ab^x |
| Statistics | Mean, median, and mode calculations |
| Probability | Basic probability formulas |
By committing these to memory, you’ll be better equipped for questions that require quick recall.
Strategic Formula Usage
Here’s how to make the most of your formula knowledge:
- Before the test: Practice using the provided geometry formulas to build familiarity.
- Study focus: Dedicate time to memorizing algebra, quadratic, and advanced math formulas.
- Practice application: Use both sets of formulas in official practice problems to master their usage.
The key to excelling in the SAT Math section is not just knowing the formulas but understanding how to apply them in different scenarios. Consistent practice will help you use these tools effectively on test day.
Using Formulas During the Test
How you use formulas during the test can make a big difference in your performance. Let’s break it down.
Memorizing Key Formulas
The SAT provides some geometry formulas, but others - especially in algebra, advanced math, statistics, and probability - must be memorized. Here’s how to prioritize:
| Knowledge Level | Action Plan | Priority |
|---|---|---|
| Know Well | Review once a week | Low |
| Sorta Know | Practice 2-3 times a week | Medium |
| Don’t Know | Practice daily until mastered | High |
By focusing on these crucial formulas, you’ll be able to quickly identify and apply the right one during the test.
How to Choose the Right Formula
1. Analyze the Question
Pay attention to the details. Look for shapes in geometry problems, variables in algebra questions, or data in statistics scenarios. These clues will guide your formula choice.
2. Check for Efficiency
Think about the fastest way to solve the problem:
- Compare using a formula versus a different strategy.
- Pick the method you’re most comfortable with.
- Always aim for the approach that saves time without sacrificing accuracy.
3. Know Common Scenarios
Be ready for these frequent problem types:
- Circle problems often need area or circumference formulas.
- Linear equations rely on the slope-intercept form.
- Word problems may call for growth or decay formulas.
Using Scratch Paper Effectively
Once you’ve picked the right formula, how you organize your work on scratch paper can help you stay accurate and efficient.
1. Organize Your Work
Divide your scratch paper into sections:
- Top: List commonly used formulas for quick reference.
- Middle: Do your calculations here.
- Bottom: Write your final answers clearly.
2. Document Your Steps
Write out every part of the process:
- Start with the formula.
- List the values you’re using.
- Show your substitutions.
- Highlight your final answer.
3. Manage Your Time
Stay efficient with these tips:
- Write down the formula as soon as you start a problem.
- Cross out mistakes instead of erasing to keep your work clear.
- Use arrows to connect related calculations for better flow.
These strategies will help you stay organized and focused, even under time pressure.
Conclusion
Get a strong grip on SAT math formulas with focused daily practice. Group formulas based on how well you know them, and spend 5-10 minutes on each topic, focusing on areas where you can make the most progress. Remember, simply knowing a formula isn’t enough - you need to know how to use it effectively.
Leverage Pursu’s tools to sharpen your skills. Its topic-specific tests and performance analytics can help you track your progress and fine-tune your study plan.
Here are some key strategies to include in your prep:
- Use Pursu’s topic-based tests for targeted practice.
- Focus on the most critical formulas before moving on to less essential ones.
- Write down formulas and practice explaining them to solidify understanding.
- Solve problems that closely resemble actual SAT questions.
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