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42 Cards in this Set

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 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