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42 Cards in this Set
 Front
 Back
2^2 =

4


3^2 =

9


4^2=

16


5^2=

25


6^2=

36


7^2=

49


8^2=

64


9^2=

81


10^2=

100


11^2=

121


12^2=

144


13^2=

169


14^2=

196


15^2=

225


2^3=

8


3^3=

27


4^3=

64


5^3=

125


2^5 =

32


2^10 =

1024


3^4 =

81


3^6 =

729


5^4 =

625


A perfect square can have only the following units digit: 0, 1, 4, 5, 6, 9 a number with 2, 3, 7 or 8 as units digit is NOT a perfect square.

A perfect square can have only the following units digit: 0, 1, 4, 5, 6, 9 a number with 2, 3, 7 or 8 as units digit is NOT a perfect square.


note that whatever power of 1, 5 and 6 will always keep the units digit of the original.

note that whatever power of 1, 5 and 6 will always keep the units digit of the original.


Primes up to 30

2 is the ONLY even prime number
3 5 7 11 13 17 19 23 29 

Quadratics
(a + b)^2 = 
a^2 + b^2 + 2ab


Quadratics
(a  b)^2 = 
a^2 + b^2  2ab


Quadratics
(a + b)(a  b) = 
a^2  b^2


Quadratics
x^2 + (a + b)*x + ab = 
(x + a)(x + b) – is UTTERLY INVALUABLE for solving quadratic equations


Progressions
1. Arithmetic nth element of a series: 
a1 + (n  1)*r


Progressions
1. Arithmetic sum of n elements: 
n(a1 + an)/2


Progressions
2. Geometric nth element of a series: 
b1*[q^(n1)]


Progressions
2. Geometric sum of n elements: 
b1*[q^(n + 1)  1]/(q  1)


Combinatorics
Permutations of n objects: 
n!


Combinatorics
Arrangements: of n object in k spots: 
n!/(nk)!


Combinatorics
kCombinations of n objects: 
n!/[(nk)! * k!]


Geometry
1.General Area of equilateral triangle: 
sqrt(3)*L^2/4


Geometry
1.General Volume of an object:  triangular (ex. pyramid): 
base*height/3


Geometry
Right triangle: Any right triangle: 
the median drawn from the right vertex will be half the hypotenuse


Geometry
Right triangle: Isosceles: 
hypotenuse = side*sqrt(2)


Geometry
Right triangle: 3060 degrees: 
the side facing the 30 degree angle is half the size of the hypotenuse
