General Flashcards

1
Q

Area of Circle

A

A = (pi)r^2

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2
Q

Simple interest formula

A

A=p(1+(t*r))

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3
Q

Compound Interest formula

A

A=P(1+r/c)^(t*c)

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4
Q

What is a prime factor?

A

Expressing a number as a product of its prime factors

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5
Q

Ratios: 4:2 4:1 -> What is the simplified ratio?

A

4:2 4:1 -> 8:4 4:1 = 8:4:1

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6
Q

Edges, Vertices, Faces of a Box?

A

Edges = 12, Vertices = 8, Face = 6

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7
Q

Right Triangle: 5, ?, ?

A

12, 13

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8
Q

Right Triangle: 8, ? , ?

A

15, 17

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9
Q

Right Triangle: 3, ?, ?

A

4, 5

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10
Q

Right Triangle: 7, ? , ?

A

24, 25

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11
Q

What is the angle opposite the largest side, if the largest side of a triangle is the diameter of a circle.

A

90 (its the largest angle possible for this)

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12
Q

Odd +- Odd = ?

A

Even

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13
Q

Even +- Even = ?

A

Even

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14
Q

Odd +- Even = ?

A

Odd

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15
Q

Odd * Odd = ?

A

Odd

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16
Q

Odd * Even = ?

17
Q

Even * Even = ?

18
Q

Calculate the mean?

A

( Sum of all numbers ) / ( n )

19
Q

Area of an Equilateral Triangle

A

( sqrt(3) * (side)^2 ) / 4

20
Q

Sum of consecutive even integers if sum is -20?

A

n + (n+2) + (n+4) + (n+6) + (n+8)

21
Q

Given the mean and median are both 0, do both sides of the median have to be equal?

A

No, consider { -3, 0, 0, 1, 2 }

22
Q

The triangle inequality theorem

A

The length of any side of a triangle must be less than the sum of the lengths of the other two sides.

23
Q

The average of a group of consecutive integers is = to ?

A

The average of a group of consecutive integers is = to the average of the largest and smallest numbers.

24
Q

What is the formula for the volume of a cube in terms of its edge length

A

s^3 if s = edge length

25
What is the formula for the surface area of a cube in terms of its edge length
6(s^2)
26
A 45:45:90 Triangle has sides of ratio:
1:1:sqrt(2)
27
Percentage Increase Formula
( finish - starting ) / ( starting )
28
Shortcut to find the sum of consecutive integers?
S = (n/2) (a_1 + a_n)
29
What is the arc length formula?
arc length / circumference = central angle / 360
30
What is this polynomial: P^2 + 2QP + Q^2
( P + Q ) ^2
31
The third side of a triangle must be:
1. Greater than the sum of the two other sides. 2. Less than the difference of the two sides.
32
Area of a trapezoid
( ( Base1 + Base2 ) / 2 ) * ( H )
33
A 30, 60, 90 degree triangle has what sides?
1, sqrt(3), 2st
34
LCD and GCF methods:
1. Find the prime factorization of each. 2. LCD: Multiply only unique, common primes of each values. 3. GCD: Multiply all unique common and non-common primes with each other.
35
Expand r C n
( first n values of r! ) / ( n! )
36
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 .
37
The sum of an interior angles in an n-sided polygon is equal to:
180 ( n - 2 )
38
8 ^ 24 can be simplified to what?
( 2 ^3 ) ^ 24 ==== 2 ^72
39
P(A and B) = ???
P(A and B) = P(A) + P(B) - P(A or B)