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39 Cards in this Set

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Multiples of 2
Last digit is even
Multiples of 3
Sum of digits is a multiple of 3
Multiples of 4
Last two digits are a multiple of 4
Multiples of 5
Last digit is 5 or 0
Multiples of 6
sum of digits is a multiple of 3 and lest digit is even
Multiples of 9
Sum of digits is a multiple of 9
Multiples of 10
Last digit is 0
Multiples of 12
Sum of digits is a multiple of 3, Last 2 digits are a multiple of 4
Isosceles Triangle
Two equal sides, two equal angles
Equilateral Triangle
3 equal sides, 3 60 degree angles
Order of operations
PEMDAS: Parentheses, exponent, multiply, divide, addition, subtract
Factoring Polynomials
Classics:
ab+ac = a(b+c)
a<2>+2ab+b<2> = (a+b)<2>
a<2>-2ab+b<2> = (a-b)<2>
a<2>-b<2> = (a-b)(a+b)
Simplify polynomials
Multiply to eliminate parentheses & combine like terms:
(3x<2>+5x)(x-1)
3x<2>(x-1) +5x(x-1)
3x<3>-3x<2>+5x<2>-5x
3x<3>+2x<2>-5x
Actual number from a ratio
Set up a proportion:
Ratio of Boys to Girls is 3 to 4
If there are 135 boys, how many girls are there?
3/4 = 135/x
3x=4(135)
x=180
Ratio
OF on top, TO on bottom
OF/TO
Ratio of 20 oranges to 12 apples
20/12 or 5/3
Average of consecutive numbers
The average of the sum of the largest and the smallest numbers:
Average all consecutive integers from 13 to 77
13+77 = 90
90/2 = 45
Count consecutive numbers
Integerts from A to B inclusive is B-A+1:
73 to 419 inclusive
419-73+1 = 347
Sum of consecutive numbers
Sum = (average)x(no. of terms):
Sum of integers 10 to 50 inclusive
Average - (10+50)/2 = 30
No. of terms - (50-10)+1=41
Sum = 30x41 = 1,230
Sum of consecutive numbers from Average
Sum = (average) x (no. of terms):
17.5 is the average of 24 terms
the sum is 17.5x24 = 240
Common multiples
Common multiple is the product.
Least common multiple comes from dividing the product by common factors:
28 and 42
28x42=1,176 (28=2x2x7 42=2x3x7)
1,176/2 = 588.58/7 = 84
Common factors
Break down to prime factors.
Multiply shared prime factors in every possible combination:
135 and 225
135 = 3x3x3x5 225=3x3x5x5
3x3 = 9 3x5=15 3x3x5=45
Decimals to fractions
use the place:
.25 = 25/100 = 1/4
.5 - 5/10 = 1/2
Fractions to decimals
use division
3/5 = 3.0/5 = .6
similar triangles
proportional triangles, all angles are equal, sides may be different
pythagorean theorum
a<2> + b<2> = c<2>
area of a triange
bh/2
area of a parallelogram
bh
area of a trapezoid
average of sides x h
special right triangles
3-4-5 & 5-12-13 = 90
30-60-90 = 1, sq.rt. of 3, & 2 (hypotenuse)
45-45-90 = 1, 1 & sq.rt. of 2 (hypotenuse)
area of a circle
pi r <2>
circumference of a circle
2 pi r
slope of a line
rise/run = delta y/delta x
multiply + divide
product + quotient
counting possibilities
be systematic
calculate a probability
probability =
number of favorable outcomes / total possible outcomes
determine a rate
maintain units
words / minute
range
number that appears most often
mode
positive difference between highest and lowest value
median
place in order + use middle number
two middle numbers, use average