Skill Drill Formula Sheet

Perimeter

Triangle sides all add

Square p s= 4

Rectangle p l w= +2 2

Circle c r d= =2π π

Regular Polygon p ns=

Area

Rhombus A d d= 1 2 2/

Square A s=2

Rectangle A lw bh= =

Parallelogram A bh=

Trapezoid ( ) 2/21 hbbA +=

Circle A r= π 2

Regular Polygon 2/apA =

Triangle 2/bhA =

Equilateral Triangle A s=

2 3

4

Lateral Surface Area

Rectangular Prism ( )hwlL 22 +=

Circular Cylinder L rh= 2π

Cone L rl= π

Pyramid L pl= / 2

Total Surface Area

Cube T e= 6 2

Rectangular Prism whlhlwT 222 ++=

Circular Cylinder T r rh= +2 22π π

Cone T r rl= +π π2

Sphere T r= 4 2π

Pyramid base of area ,2/ =+= BplBT

Volume

Cube V e=3

Rectangular Prism V lwh Bh B= = =, area of base

Circular Cylinder V Bh B= =, area of base

Circular Cone V Bh B= =/ ,3 area of base

Sphere V r= 4 33π /

Pyramid base of area ,3/ == BBhV

Pythagorean Theorem

Right Triangle 222 cba =+

Interest

Annual Compound Interest ( )trPA += 1

Compound Interest (n times/year) ( )[ ]nt

nrPA += 1

Compound Continuous rtPeA =

Simple Interest tI Pr=

Heron Area Formula

Oblique Triangle ( ) 2/cbas ++=

( )( )( )csbsassA −−−=

Geometry

Number of Diagonals ( ) 2/3−nn

Sum of Exterior Angles 360

Each Exterior Angle 360/n

Sum of Interior Angles ( )1802−n

Each Interior Angle ( ) nn /1802−

Sum of Numbers

1 to n ( ) 2/1+nn

n to m ( )( ) 2/1+−+ nmmn

Statistics Mean average Median middle number Mode most often Range big - small Probability of an Event good/total Odds in Favor good : bad Odds Against bad : good Percent Increase/Decrease (change/original)x100

n! ( )( ) 123 . . . 21 ⋅⋅−− nnn

Distance

Between Two Points ( ) ( )2

12

2

12 yyxx −+−

Vehicles rtD =

Divisibility 2 even 3 sum of digits divisible by 3 4 last two digits divisible by 4 5 ends in 5 or 0 6 divisible by 2 and 3 8 last three digits divisible by 8 9 sum of digits divisible by 9 10 ends in 0

Geometric & Arithmetic Series

Arithmetic Progression ( )dnaan 11 −+=

( ) 2/1 nn aanS +=

( )[ ] 2/12 1 dnan −+=

Geometric Progression ( )1

1

−=

n

n raa

( ) ( )rraSn

n −−= 1/11

Infinite Geometric ( ) 1 ;1/1 <−= rraS

Conversions 2000 lbs. = 1 ton 5280 ft. = 1 mile 454 g. = 1 lb. 1000 mm = 1 m 1000 g. = 1 kg. 10 mm = 1 cm 100 cm = 1 m

Right Triangles Common 3, 4, 5 8, 15, 17 5, 12, 13 7, 24, 25

30-60-90 45-45-90

Algebra & Basics

Quadratic Formula a

acbbx

2

42−±−

=

Repeating Decimal to Fraction repeat that places as s9' of #

digits repeating

45°

45° x

x x 2

60°

30°

x 2x

x 3