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42 Cards in this Set
- Front
- Back
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2^2 =
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4
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3^2 =
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9
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4^2=
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16
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5^2=
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25
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6^2=
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36
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7^2=
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49
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8^2=
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64
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9^2=
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81
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10^2=
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100
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11^2=
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121
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12^2=
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144
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13^2=
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169
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14^2=
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196
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15^2=
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225
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2^3=
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8
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3^3=
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27
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4^3=
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64
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5^3=
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125
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2^5 =
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32
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2^10 =
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1024
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3^4 =
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81
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3^6 =
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729
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5^4 =
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625
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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.
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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.
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note that whatever power of 1, 5 and 6 will always keep the units digit of the original.
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note that whatever power of 1, 5 and 6 will always keep the units digit of the original.
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Primes up to 30
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2 is the ONLY even prime number
3 5 7 11 13 17 19 23 29 |
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Quadratics
(a + b)^2 = |
a^2 + b^2 + 2ab
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Quadratics
(a - b)^2 = |
a^2 + b^2 - 2ab
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Quadratics
(a + b)(a - b) = |
a^2 - b^2
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Quadratics
x^2 + (a + b)*x + ab = |
(x + a)(x + b) – is UTTERLY INVALUABLE for solving quadratic equations
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Progressions
1. Arithmetic n-th element of a series: |
a1 + (n - 1)*r
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Progressions
1. Arithmetic sum of n elements: |
n(a1 + an)/2
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Progressions
2. Geometric n-th element of a series: |
b1*[q^(n-1)]
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Progressions
2. Geometric sum of n elements: |
b1*[q^(n + 1) - 1]/(q - 1)
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Combinatorics
Permutations of n objects: |
n!
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Combinatorics
Arrangements: of n object in k spots: |
n!/(n-k)!
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Combinatorics
k-Combinations of n objects: |
n!/[(n-k)! * k!]
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Geometry
1.General Area of equilateral triangle: |
sqrt(3)*L^2/4
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Geometry
1.General Volume of an object: - triangular (ex. pyramid): |
base*height/3
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Geometry
Right triangle: Any right triangle: |
the median drawn from the right vertex will be half the hypotenuse
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Geometry
Right triangle: Isosceles: |
hypotenuse = side*sqrt(2)
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Geometry
Right triangle: 30-60 degrees: |
the side facing the 30 degree angle is half the size of the hypotenuse
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