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Unlike the SAT, the ACT Math Test does not provide students with a formula chart to aid in solving problems—so unless you’ve got these memorized, you might find yourself up the creek without a paddle on the ACT. Print this list and learn it, students. Learn it well!

## ACT Math Formula Chart

Circles

A =
C =

Rectangles, Parallelograms, and Squares

A = base x height

Triangles

A = bh/2

Trapezoids

A =

(Add the bases, divide by two, multiply by the height)

Rectangular Prisms

V = lwh

Cylinders

V =

Spheres

V =

Cones

Pyramids

V = 1/3 Bh

where B is the area of the base and h is the height

Pythagorean Theorem

(where c is the hypotenuse and a and b are legs of a right triangle)

Special Right Triangles

30° − 60° − 90° Right Triangle

Short leg (opposite the 30° angle) = x
Long leg (opposite the 60° angle) = x√3
Hypotenuse = 2x

45° − 45° − 90° Right Triangle

Each leg = x
Hypotenuse = x√2

Average (Arithmetic Mean)

Sum of things / number of things

Median

Middle number

Mode

Most frequent number

Trigonometry

SOHCAHTOA

sin x = opposite / hypotenuse
cos x = adjacent / hypotenuse
tan x = opposite / adjacent

In Quadrant I (top right), sin, cos, and tan are positive.
In Quadrant II (top left), sin is positive, and cos and tan are negative.
In Quadrant III (bottom left), sin and cos are negative, and tan is positive.
In Quadrant IV (bottom right), sin is negative, cos is positive, and tan is negative.

Probability

Number of desired outcomes / number of total outcomes

Factorials

5! = 5 x 4 x 3 x 2 x 1

Equation of a Circle

Logarithms

Change of Base Rule

Exponential Growth Formula

where A is the new amount, P is the principal amount, r is the rate of growth, n is the number of months, and t is time in years.