🦇🖤 Vogue-Level SSAT Math Formulas

Average (Mean)

Mean = (Sum of all numbers) ÷ (Number of numbers)

Percent

Percent = (Part ÷ Whole) × 100%

Percent Increase/Decrease

Percent Change = |New - Old| ÷ Old × 100%

Ratio

Ratio = Quantity 1 ÷ Quantity 2

Proportion

a ÷ b = c ÷ d

Slope of a Line

m = (y2 - y1) ÷ (x2 - x1)

Equation of a Line (Slope-Intercept)

y = mx + b

Quadratic Formula

x = [-b ± √(b² - 4ac)] ÷ 2a

Difference of Squares

a² - b² = (a - b)(a + b)

Square of a Binomial

(a + b)² = a² + 2ab + b²

Perimeter of a Polygon

Sum of the lengths of all sides

Area of Triangle

A = ½ × base × height

Area of Rectangle

A = length × width

Area of Square

A = side²

Area of Circle

A = πr²

Circumference of Circle

C = 2πr

Volume of Rectangular Prism

V = length × width × height

Volume of Cube

V = side³

Volume of Cylinder

V = πr²h

Pythagorean Theorem

a² + b² = c²

Probability of an Event

P(E) = Number of favorable outcomes ÷ Total outcomes

Complement Rule

P(not E) = 1 - P(E)

Product Rule (Exponents)

a^m × a^n = a^{m+n}

Quotient Rule (Exponents)

a^m ÷ a^n = a^{m-n}

Power Rule (Exponents)

(a^m)^n = a^{mn}

Square Root

√(a²) = |a|

Sum of Interior Angles of Polygon

Sum = 180° × (n - 2)