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141 Cards in this Set
- Front
- Back
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2 ^ 3
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8
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2 ^ 4
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16
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2 ^ 5
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32
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2 ^ 8
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256
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2 ^ 10
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1024
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3 ^ 3
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27
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3 ^ 4
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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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16 ^ 2
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256
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17 ^ 2
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289
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18 ^ 2
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324
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19 ^ 2
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361
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20 ^ 2
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400
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25 ^ 2
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625
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5 ^ 2
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25
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5 ^ 3
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125
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5 ^ 4
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625
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4 ^ 3
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64
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4 ^ 4
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256
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4 ^ 5
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1024
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SQRT(2)
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1.41
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SQRT(3)
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1.73
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SQRT(5)
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2.24
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SQRT(7)
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2.65
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30-60-90 Triangle
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45-45-90 Triangle
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Is 0 a positive or negative?
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Neither
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Is 0 even or odd or neither
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Even
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The quotient of 8 and 4 is
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2
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Prime number
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Only divisible by 1 and itself
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Is 1 prime ?
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No
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The only even primer number?
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2
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Write out prime numbers
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2,3,5,7,9,11,13,17,19,23,27,29
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EVEN × EVEN
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EVEN
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ODD × ODD
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ODD
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EVEN × ODD
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EVEN
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EVEN + EVEN
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EVEN
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EVEN - EVEN
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EVEN
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ODD + ODD
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EVEN
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ODD - ODD
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EVEN
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EVEN + ODD
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ODD
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EVEN - ODD
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ODD
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Divisible by 2
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Last digit even
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Divisible by 3
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Sum of digits is divisible by 3
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Divisible by 4
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Last 2 digits divisible by 4
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Divisible by 5
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Last digit is 0 or 5
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Divisible by 6
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Last digit is even, Sum of digits divisible by 3
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Divisible by 8
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Last 3 digits divisible by 8
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Divisible by 9
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Sum of digits is divisible by 9
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Divisible by 10
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Last digit is 0
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Divisible by 12
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Sum of digits is divisible by 3, last 2 digits divisible by 4
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How to find Least Common Multiple?
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Do primer factorization, then for each factor, take the highest power
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How to find Greatest Common Denominator?
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Do Primer Factorization. The take the lowest power for each factor
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0.75 × 2
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1.5
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0.75 × 3
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2.25
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0.75 × 4
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3
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0.75 × 5
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3.75
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(X * Y) MOD Z
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[ (X MOD Z) * (Y MOD Z) ] MOD Z
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3 * 3 = 9
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When X is divided by Y, the remainder is Z
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X = Ya + Z, where Z is less than Y
10 mod 4 10 = 4 * 2 + 2, where 2 < 4 |
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If the remainder when 5n is divided by 4 is 3, what is the remainder when 10n is divided by 4
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1/8
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0.125
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3/8
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0.375
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5/8
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0.625
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7/8
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0.875
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1/16
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0.0625
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3/16
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0.1875
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5/16
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0.3125
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7/16
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0.4375
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9/16
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0.5625
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11/16
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0.6875
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13/16
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0.8125
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15/16
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0.9375
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1/6
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0.167
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1/7
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0.143
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1/8
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0.125
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1/9
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0.111
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1/11
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0.091
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1/12
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0.083
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1/15
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0.067
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1/16
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0.063
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If X>1, what happens to X^y as y increases
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X^y increases
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If X<1, what happens to X^y as y increases
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X^y decreases
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Sum of the degrees of all angles in the polynomial
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180(X-2)
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Pythagorean trplets (sides that satisfy the formula)
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3, 4, 5 (and 3x, 4x, 5x)
5,12,13 (and 5x, 12x, 13x) |
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Similar triangles
- How to find - Properties |
HOW TO FIND:
1) AA Rule 2 angles of 1 triangles are equal to 2 angles of another triangle 2) SAS One angle of one triangle equals one angle of another triangle, and the sides sharing this angle are in proportion 3) SSS If three sides are in the same proportion PROPERTIES 1) Sides are in constant proportion 2) Respective angles are equal |
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Properties of any triangle (relationships between sides)
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nPm and nCm
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Normal distribution
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Relationship between intersecting sets
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TOTAL NUMBER - NEITHER = GROUP A + GROUP B - BOTH
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SQRT(10)
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3.16
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SQRT(6)
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2.45
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(2.5) ^ 2
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6.25
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RULES TO REMEMBER
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How many numbers between X and Y (inclusive) are divisible by Z?
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Let m be a positive integer, find divisors of the (M+1)(M+2), (M+1)(M+2)(M+3), etc.
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How to compare 2 fractions
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Cross-Multiply
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Exterior angle in a triangle
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Inscribed angle in an arc in the circle
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Number of integers between 2 integers inclusive
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One more than difference
Ex: # of numbers between 49 and 101 is 101 - 49 + 1 = 53 |
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Sum of 1 + 2 + 3 + ... + N
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Plug in numbers (also if X < 0)
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0, 1, 2, -2, 1/2
If X < 0 then -1, -2, -1/2 |
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On quant comparison if you have:
A^2 <-------------> B^2 |
DO NOT take square root of both sides, unless you know that A, B > 0
Also, do not square both sides unless you know that both sides are > 0 |
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Midpoint formula
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When plugging in different numbers to find an answer (like in a series) you WILL NEVER HAVE TO PLUG IN MORE THAN 3 NUMBERS
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...
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Properties parallelogram
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1) Opposite sides are parallel and equal
2) Opposite angles are equal 3) Adjacent angles's sum is 180 4) Area = Base * Height 5) Diagonals of a square are perpend. to each other 5) Diagonals bisect each other |
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Proportions (direct, indirect relationship), rates of work
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If X < Y how do inverses compare? In what cases?
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In all cases
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Work, Rate, Time
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Sum Geometric series
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Number of cyclic permutations with N and R
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nPr / r
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Number of permutations with indistinguishable objects
Ex: Number of permutations of AAABBC |
nPr / (3! * 2!)
3!: Because of 3 A's 2!: Because of 2 B's |
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Quadratic equation
Axis of symmetry Solutions |
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1 foot 1 yard 1 quart 1 gallon
1 pound |
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If X < Y and W < Z then:
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X + W < Y + Z
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Interior angles on the same side of transversal through parallel lines
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Area of trapezoid
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(leg1 + leg2)/2 * height
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Volume of cylinder
Surf. Area of cylinder |
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Two tangents from common exterior point to the circle
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Angle inscribed in a semicircle
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To compare 2 fractions
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Cross Multiply
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Taking a square root of X when 0 < X < 1 makes it (larger/smaller)
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Larger
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Squaring X when 0 < X < 1 makes it (larger/smaller)
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Smaller
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Weighted Average of the two groups
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Will be closer to the group with larger number of elements
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Elimination strategies
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Function X^2
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Function X^3
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Function 1/X
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Function SQRT(X)
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Function 2^X
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Function (1/2)^X
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CARELESS:
X is a two digit number AB |
X can be AB or BA
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CARELESS:
How many 5 digit numbers can be made from 0,3,5 |
First digit cannot be 0, thus only 2 choices
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CARELESS:
How many positive integers less than 500 can be formed using 1,2,3,5 for the digits |
Cases: 3 digits, 2 digits, 1 digit
3 digits: First digit cannot be 5, so only 3 choices |
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CARELESS:
In Venn Diagram problems (2 sets, some elements are in both sets) make sure you read the problem carefully to understand if something is pertaining to 1 set ONLY, or to both sets A and B |
Voters can vote for 1 or 2 candidates. 100 voted for candidate A. 50 voted for both. out of that 100, some could have voted for both
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