General Flashcards
Area of Circle
A = (pi)r^2
Simple interest formula
A=p(1+(t*r))
Compound Interest formula
A=P(1+r/c)^(t*c)
What is a prime factor?
Expressing a number as a product of its prime factors
Ratios: 4:2 4:1 -> What is the simplified ratio?
4:2 4:1 -> 8:4 4:1 = 8:4:1
Edges, Vertices, Faces of a Box?
Edges = 12, Vertices = 8, Face = 6
Right Triangle: 5, ?, ?
12, 13
Right Triangle: 8, ? , ?
15, 17
Right Triangle: 3, ?, ?
4, 5
Right Triangle: 7, ? , ?
24, 25
What is the angle opposite the largest side, if the largest side of a triangle is the diameter of a circle.
90 (its the largest angle possible for this)
Odd +- Odd = ?
Even
Even +- Even = ?
Even
Odd +- Even = ?
Odd
Odd * Odd = ?
Odd
Odd * Even = ?
Even
Even * Even = ?
Even
Calculate the mean?
( Sum of all numbers ) / ( n )
Area of an Equilateral Triangle
( sqrt(3) * (side)^2 ) / 4
Sum of consecutive even integers if sum is -20?
n + (n+2) + (n+4) + (n+6) + (n+8)
Given the mean and median are both 0, do both sides of the median have to be equal?
No, consider { -3, 0, 0, 1, 2 }
The triangle inequality theorem
The length of any side of a triangle must be less than the sum of the lengths of the other two sides.
The average of a group of consecutive integers is = to ?
The average of a group of consecutive integers is = to the average of the largest and smallest numbers.
What is the formula for the volume of a cube in terms of its edge length
s^3 if s = edge length
What is the formula for the surface area of a cube in terms of its edge length
6(s^2)
A 45:45:90 Triangle has sides of ratio:
1:1:sqrt(2)
Percentage Increase Formula
( finish - starting ) / ( starting )
Shortcut to find the sum of consecutive integers?
S = (n/2) (a_1 + a_n)
What is the arc length formula?
arc length / circumference = central angle / 360
What is this polynomial: P^2 + 2QP + Q^2
( P + Q ) ^2
The third side of a triangle must be:
- Greater than the sum of the two other sides.
- Less than the difference of the two sides.
Area of a trapezoid
( ( Base1 + Base2 ) / 2 ) * ( H )
A 30, 60, 90 degree triangle has what sides?
1, sqrt(3), 2st
LCD and GCF methods:
- Find the prime factorization of each.
- LCD: Multiply only unique, common primes of each values.
- GCD: Multiply all unique common and non-common primes with each other.
Expand r C n
( first n values of r! ) / ( n! )
What can r C n be written as to simplify questions?
n C ( n - r )
n C r == n C ( n - r) is a simplification .
The sum of an interior angles in an n-sided polygon is equal to:
180 ( n - 2 )
8 ^ 24 can be simplified to what?
( 2 ^3 ) ^ 24 ==== 2 ^72
P(A and B) = ???
P(A and B) = P(A) + P(B) - P(A or B)
