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:

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

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