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Mathematics Formula Sheet & Explanation The 2014 GED® Mathematical Reasoning test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. Formulas are provided to testMathematics Formula Sheet takers so that they may focus on application, rather than the memorization, of formulas. Area of a:

2

square

A=s

rectangle

A = lw

parallelogram

A = bh

triangle trapezoid

A = bh

circle

A = πr

! ! !

A = h(b1 + b2) !

2

Perimeter of a: square rectangle triangle Circumference of a circle

P = 4s P = 2l + 2w P = s1 + s2 + s3 C = 2πr OR C = πd; π ≈ 3.14

Surface area and volume of a: rectangular prism

SA = 2lw + 2lh + 2wh

V = lwh

right prism

SA = ph + 2B

V = Bh

cylinder

SA = 2πrh + 2πr !

pyramid

2

SA = ps + B !

cone

SA = πrs + πr

sphere

SA = 4πr

2

V = πr h !

V = Bh 2

2

! !

2

V = πr h ! !

V = πr

3

!

(p = perimeter of base with area B; π ≈ 3.14)

Data mean

mean is equal to the total of the values of a data set, divided by the number of elements in the data set

median

median is the middle value in an odd number of ordered values of a data set, or the mean of the two middle values in an even number of ordered values in a data set

Algebra slope of a line slope-intercept form of the equation of a line

!=

!! − !! !! − !!

y = mx + b

point-slope form of the equation of a line

y – y1 = m(x – x1)

standard form of a quadratic equation

y = ax + bx + c

quadratic formula Pythagorean theorem

2

−! ± ! ! − 4!" 2! 2 2 2 a +b =c !=

simple interest

I = Prt (I = interest, P = principal, r = rate, t = time)

distance formula

d = rt

total cost

total cost = (number of units) × (price per unit)

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