Does the SAT Give You a Formula Sheet? What You Need to Know

The SAT does not provide a formula sheet during the test. Students must rely on their own knowledge to recall key math formulas for the Math section. While a small reference box appears at the beginning of the test with a few basic geometry formulas, it is incomplete and does not cover the full range of equations needed. This means success depends on preparation, memorization, and understanding how to apply formulas quickly and accurately.

Some questions may include specific formulas within the problem, especially in geometry contexts, but these are exceptions. The College Board designs the test this way to assess both conceptual understanding and the ability to use mathematical tools efficiently. You cannot assume any formula will be given—especially in algebra, data analysis, or advanced math topics.

What Formulas Are You Expected to Know?

The SAT Math section focuses on four main areas: Heart of Algebra, Problem Solving and Data Analysis, Passport to Advanced Mathematics, and Additional Topics in Math. Within these, certain formulas come up regularly and must be memorized.

For algebra, you need to know the slope-intercept form of a line ($y = mx + b$), how to calculate slope ($m = \frac{y_2 - y_1}{x_2 - x_1}$), and the vertex formula for a parabola ($x = -\frac{b}{2a}$). The quadratic formula is not provided, so you must remember it:

$$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$

In coordinate geometry, you should be able to find the distance or midpoint between two points. The distance formula, derived from the Pythagorean theorem, is:

$$ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

Midpoint is simpler:

$$ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $$

For data analysis, you won’t need to memorize complex statistical formulas, but you must understand how to calculate percentages, ratios, mean, median, and basic probability. You should also interpret what standard deviation means in context, even if you don’t compute it directly.

In advanced math, fluency with exponent rules is essential—for example, $x^a \cdot x^b = x^{a+b}$ and $(x^a)^b = x^{ab}$. You should also be able to factor quadratics, simplify rational expressions, and work with functions in different forms.

Geometry makes up a smaller portion of the test, but several formulas are still important. These include:

• Area of a triangle: $A = \frac{1}{2}bh$
• Volume of a cylinder: $V = \pi r^2 h$
• Pythagorean theorem: $a^2 + b^2 = c^2$
• Side ratios for 30°-60°-90° and 45°-45°-90° triangles

While some of these appear in the reference box, others do not. More importantly, knowing the formula is only the first step—you must also apply it correctly under time pressure.

Which Formulas Are Provided?

At the start of the Math section, the SAT includes a reference box with 12 formulas and three diagrams. These cover only basic geometry concepts:

• Area and circumference of a circle: $A = \pi r^2$, $C = 2\pi r$
• Area of a rectangle: $A = lw$
• Area of a triangle: $A = \frac{1}{2}bh$
• The Pythagorean theorem
• Special right triangle ratios (30°-60°-90° and 45°-45°-90°)
• Volume formulas for cylinder, sphere, cone, and pyramid

This reference is helpful but limited. It does not include formulas for the area of a trapezoid, arc length, sector area, or surface area of 3D shapes—yet these can appear in harder questions. Algebraic identities like $(a + b)^2 = a^2 + 2ab + b^2$ are also absent, even though they are useful for simplifying expressions.

The reference box is not a substitute for preparation. Many students find that flipping back to check a formula takes too much time. Top scorers rely on memory to maintain pacing and accuracy.

How to Prepare Without a Formula Sheet

Since no comprehensive formula sheet is provided, effective preparation starts with building your own. Use official SAT practice tests from the College Board to identify which formulas appear most often. Focus on high-frequency topics and practice applying them in different contexts.

Flashcards, handwritten notes, or spaced repetition apps can help with memorization. But don’t just memorize—understand when and why to use each formula. For example, the vertex of a parabola isn’t just a point; it represents a maximum or minimum value in real-world problems.

Worked Example:
A ball is thrown upward, and its height in feet after $t$ seconds is modeled by $h(t) = -16t^2 + 32t + 5$. To find the maximum height, recognize this is a quadratic in standard form. The $t$-coordinate of the vertex is $t = -\frac{b}{2a} = -\frac{32}{2(-16)} = 1$. Plug back in: $h(1) = -16(1)^2 + 32(1) + 5 = 21$. So the maximum height is 21 feet. No formula is given for the vertex, so knowing the method is essential.

Combine formula review with timed practice. As you take practice sections, note which formulas you hesitate on and revisit them. Use official resources like Khan Academy’s SAT prep, created in partnership with the College Board, to ensure your study matches the actual test format and content College Board.

Grouping formulas by function can improve retention:

• Linear equations: slope, point-slope form, parallel and perpendicular lines
• Exponential models: $A = P(1 + r)^t$ for growth or decay
• Circles in the coordinate plane: $(x - h)^2 + (y - k)^2 = r^2$

Understanding patterns—like how quadratics model motion or how exponential functions describe population growth—helps you remember formulas naturally.

Key Takeaways

• The SAT does not give you a formula sheet with all the math equations you need; only a limited set of geometry formulas is provided at the start of the Math section.
• You must memorize core formulas from algebra, geometry, and data analysis, especially those related to linear equations, quadratics, coordinate geometry, and exponential models.
• The reference box includes area, volume, and right triangle formulas, but it lacks many others that appear on the test.
• Effective preparation involves creating your own study sheet, practicing application in realistic problems, and using official materials to guide your review College Board.