Formulas for Addressing the Additional Topics in Math Questions on the SAT® Exam

How to address the Additional Topics in Math questions on the SAT® Exam? First, you have to work on your spatial skills, since most of the questions will be related to geometry. You need to have the skills of visualizing geometric shapes and working with the appropriate formulas for each shape.

That’s where we can help you! In the following formula chart, you’ll find the essential formulas you’ll need for acing those Additional Topics in Math questions! Use them to solve our practice test at Union Test Prep, and prepare for the SAT® Test!

Also, practice using formula charts that cover the other three areas covered by the SAT® Math Test:

  1. Heart of Algebra

  2. Problem-Solving and Data Analysis

  3. Passport to Advanced Math

For now, try these formulas out in Additional Topics questions:

Category Formula Symbols Comment
Additional
Topics in
Math
\(P=4 \cdot s\) P = Perimeter of a square
s = Side length
 
Additional
Topics in
Math
\(P=(2 \cdot l)+(2 \cdot w)\) P = Perimeter of a rectangle
l = Length
w = Width
 
Additional
Topics in
Math
\(P=s_1 + s_2 + s_3\) P = Perimeter of a triangle
\(s_n\) = Side length
 
Additional
Topics in
Math
\(C=2 \cdot \pi \cdot r = \pi \cdot d\) C = Circumference (perimeter) of a circle
r = Radius
d = Diameter
\(\pi \approx\) 3.14
 
Additional
Topics in
Math
\(S=r\theta\) S = Arc length
r = Radius
\(\Theta\) = Central angle (in radians)
 
Additional
Topics in
Math
\(A=s^2\) A = Area of a square
s = Side length
 
Additional
Topics in
Math
\(A = l \cdot w\) A = Area of a rectangle
l = Length
w = Width
 
Additional
Topics in
Math
\(A= \frac{1}{2} \cdot b \cdot h\) A = Area of a triangle
b = Base
h = Height (altitude)
 
Additional
Topics in
Math
\(A = \pi r^2\) A = Area of a circle
r = Radius
 
Additional
Topics in
Math
\(A= h \cdot \dfrac{(b_1 + b_2)}{2}\) A = Area of a trapezoid
\(b_n\) = Base n
h = Height (altitude)
 
Additional
Topics in
Math
\(V=s^3\) V = Volume of a cube
s = side length
 
Additional
Topics in
Math
\(V = l \cdot w \cdot h\) V = Volume of a rectangular prism
l = Length
w = Width
h = Height
 
Additional
Topics in
Math
\(V = \frac{4}{3} \cdot \pi \cdot r^3\) V = Volume of a sphere
r = Radius
 
Additional
Topics in
Math
\(V = \pi \cdot r^2 \cdot h\) V = Volume of a cylinder
r = Radius
h = height
 
Additional
Topics in
Math
\(V= \frac{1}{3} \cdot \pi \cdot r^2 \cdot h\) V = Volume of a cone
r = Radius
h = Height
 
Additional
Topics in
Math
\(V= \frac{1}{3} \cdot l \cdot w \cdot h\) V = Volume of a pyramid
l = Length
w = Width
h = Height
 
Additional
Topics in
Math
\(d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}\) d = Distance between two points
\(y_n\) = y value at point n
\(x_n\) = x value at point n
 
Additional
Topics in
Math
\(a^2 + b^2 = c^2\) a, b = Legs of a right triangle
c = Hypotenuse of a right triangle
Pythagoras’ Theorem
Additional
Topics in
Math
\((x-h)^2 + (y-k)^2 = r^2\) (h, k) = Center of a circle
r = Radius
Standard form of
a circle
Additional
Topics in
Math
\(x^2+y^2+Ax+By+C=0\) x, y = variables
A, B, C = constants
General form of a circle
Additional
Topics in
Math
\(sin^2 \theta + cos^2 \theta = 1\) \(\theta\) = Any angle  
Additional
Topics in
Math
\(sin \ 2\theta = 2 \cdot sin \theta \cdot cos \theta\) \(\theta\) = Any angle  
Additional
Topics in
Math
\(cos\ 2\theta = cos^2\theta - sin^2\theta = 2\ cos^2\theta-1\) \(\theta\) = Any angle  
Additional
Topics in
Math
\(tan\ 2\theta = \dfrac{2\ tan \theta}{1-tan^2 \theta}\) \(\theta\) = Any angle  
Additional
Topics in
Math
\((a+bi) + (c+di) = (a+c) + (b+d)i\) a, b, c, d = Constants
\(i = \sqrt{-1}\)
Addition of complex
numbers
Additional
Topics in
Math
\((a+bi) \cdot (c+di) = [(a \cdot c)+(a \cdot d)i] +[(b \cdot c)i+(b \cdot d)(-1)]\) a, b, c, d = Constants
\(i = \sqrt{-1}\)
Multiplication of
complex numbers
Additional
Topics in
Math
\(\dfrac{a+bi}{c+di} = \dfrac{ac+bd}{c^2+d^2} + i\dfrac{bc-ad}{c^2+d^2}\) a, b, c, d = Constants
\(i = \sqrt{-1}\)
Division of complex
numbers

Formulas with Graphic Reference:

1-right-triangle-b-l-o-g-formula-chart-s-a-t®-additional-topics-in-math.svg

\[sin\ \theta = \dfrac {opposite}{hypotenuse} = \dfrac{1}{csc\ \theta}\] \[cos\ \theta = \dfrac {adjacent}{hypotenuse} = \dfrac{1}{csc\ \theta}\] \[tan\ \theta = \dfrac {opposite}{adjacent} = \dfrac{1}{csc\ \theta}\]

2-triangle-diagram-b-l-o-g-formula-chart-s-a-t®-additional-topics-in-math.svg

\[\dfrac{a}{sin\ A} = \dfrac{b}{sin\ B} =\dfrac{c}{sin\ C}\] \[a^2 = b^2 + c^2 - 2\ bc\ cos\ A\] \[b^2 = a^2 + c^2 - 2\ ac\ cos\ B\] \[c^2 = a^2 + b^2 - 2\ ab\ cos\ C\]

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