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42 Cards in this Set

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  • 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
n-th element of a series:
a1 + (n - 1)*r
Progressions
1. Arithmetic
sum of n elements:
n(a1 + an)/2
Progressions
2. Geometric
n-th element of a series:
b1*[q^(n-1)]
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!/(n-k)!
Combinatorics
k-Combinations of n objects:
n!/[(n-k)! * 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:
30-60 degrees:
the side facing the 30 degree angle is half the size of the hypotenuse