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258 Cards in this Set
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Positive X Negative = ?

Negative

Negative X Negative = ?

Positive

Positive / Negative =

Negative

Negative / Negative =

Positive

Odd + Odd =

Even

Even + Even =

Even

Odd  Odd =

Even

Even  Even =

Even

Odd + Even =

Odd

Odd  Even =

Odd

Even x Odd =

Even

Even x Even =

Even

Odd x odd x odd x ... =

Odd

Odd / Even =

Not an Integer

Even / Odd =

Even (or a fraction)

Odd / Odd =

Odd (or a fraction)

Final Value [given X percent change) =

(1 + X%/100)Initial Value

% change [given Final and Initial values] =

(FI)/I x 100

Simple Interest: R =

R = P X (1 + rt)

Compound Interest: R =

R = P X (1+ r/n)^nt
(^nt indicates nt is an exponent) 
X^a * X^b =

X^(a+b)

x^a / x^b =

x^(ab)

x^a * y^a =

(xy)^a

(x/y)^a =

x^a / y^a

(x^a)^b

x^(ab)

0! = ?

1

1! = ?

1

2! = ?

2

3! =

6

4! =

24

5! =

120

6! =

720

7! =

5040

x^a

1 / x^a

x^0 =

1, unless x = 0

nPk =
Permutations (order matters) with n options for k slots 
n! / (nk)!

nCk =
Combinations (order does not matter) with n options for k slots 
n! / (nk)!k!

nPk =
Permutations (order matters) with identical objects k sub i n is the total number of objects and ki is the number of objects of the ith kind 
n! / k1!k2!...kn!

Arrangements in a circle of nonidentical things =

(n1)!
With two different types of things (men & women) it is (m1)!w! (only one "anchor" needed) 
Probability is?

number of ways the particular something can happen divided by the number of ways that anything can happen

x^(a/b) =

b√(x^a)
[b root of x to the a power] 
n√x =
[nth root of x] 
x^(1/n)
[x to the 1/n power] 
Quadratic Formula ?

x = (b+/√(b^24ac))/2a

Area of a triangle?

A = 1/2 bh

Sum of the angles of a triangle?

180 deg

The sum of the lengths of any two sides of a triangle is _____ than the length of the third?

longer

454590 triangle has what relationship between its sides?

11√2

306090 triangle has what relationship among its sides?

1√32

Right triangle: 34___

5

Right triangle: ___ 810

6

Right triangle: 5___13

12

Right triangle: 1024____

26

Right triangle: ___2425

7

Right triangle: 8__17

15

Equation of a line:

y=mx+b

slope of a line equals?

m=(y2y1)/(x2x1)

xintercept of a line =

b/m

Area of a rhombus (all sides equal, opposite angles equal, perpendicular diagonals)?

A=1/2(d x d)
d = diagonal 
Area of a trapezoid (one pair of sides parallel [sides a and c])

A=1/2(a+c)h

Area of a parallelogram (opposite sides equal and parallel, opposite angles equal)?

A=bh

Measure of all angles of a regular polygon?

(n2)180

Measure of any interior angle of a regular polygon?

(n2)/n ∗ 180

pi ≈ ? (fraction)

22/7

Area of a circle?

A=πr^2

Relationship between central angle and arc?

L/(2πr) = α /360 deg

Area of a sector of a circle?

A = (α/360) πr^2

Inscribed angle = ?

1/2 central angle

Definition of Central Angle?

An angle in a circle which uses the center of the circle as its vertex.

Definition of Inscribed Angle?

An angle formed by two chords within a circle. Its vertex is on the circle. The measure of an inscribed angle equals 1/2 the measure of its arc.

Diagonal of a cube =

√3 * length

Diagonal of a rectangular solid?

D = √(l^2 + w^2 + h^2)

Volume of a cylinder?

V = π(r^2)h

Surface area of a cylinder?

A = 2πrh +nπr^2, n= 0,1, or 2

Volume of a sphere?

V = 4/3 πr^3

Surface area of a sphere?

A = 4πr^2

Exponential growth formula?

F = Ia^n

Compound interest formula?

Earnings = Investment x (1+rate)^t
t= no. of periods 
Average?

Add 'em all up and divide by the number of things added.

Standard Deviation formula?

σ = square root of the sum of the differences between each number and the mean, squared, divided by the number of numbers.
√((∑(ximean)^2)/n) 
Permutation formula (order matters)?

nPk = n!/(nk)!

Combination formula?

nCk = n! / (nk)!k!

Possible circular arrangements of n items?

(n1)!

P(A ∩B) =
Intersection of independent events (and) 
P(A) * P(B)

P(A∩B) =
Intersection of dependent events (and) 
P(A)*Pa(B) or P(B)*Pb(A)

P(A∪B) =
Union of two overlapping events (or) 
P(A) + P(B)  P(A∩B)

P(A∪B∪C) =
Union of three overlapping events (or) 
P(A)+P(B)+P(C)P(A∩B)P(A∩C)P(B∩C)+P(A∩B∩C)

12 x 6

72

12 x 7

84

12 x 8

96

12 x 9

108

12 x 12

144

12 x 11

132

13 x 4

52

13 x 5

65

13 x 6

78

13 x 7

91

13 x 8

104

13 x 9

117

13 x 11

143

13 x 12

156

13 x 13

169

14 x 3

42

14 x 4

56

14 x 5

70

14 x 6

84

14 x 7

98

14 x 8

112

14 x 9

126

14 x 11

154

14 x 12

168

14 x 13

182

14 x 14

196

15 x 5

75

15 x 6

90

15 x 7

105

15 x 8

120

15 x 9

135

15 x 11

165

15 x 12

180

15 x 13

195

15 x 14

210

15 x 15

225

1/6 =

0.166...

5/6 =

0.833...

1/8 =

0.125

3/8 =

0.375

5/8 =

0.625

7/8 =

0.875

1/9 =

0.111...

2/9 =

0.222...

17/20 =

0.85

1^2 =

1

1.4^2 ≈

2

1.7^2 ≈

3

2^2 =

4

3^2 =

9

4^2 =

16

5^2 =

25

6^2=

36

7^2 =

49

8^2 =

64

9^2=

81

11^2 =

121

12^2=

144

13^2 =

169

14^2=

196

15^2=

225

16^2=

256

17^2=

289

18^2=

324

19^2 =

361

21^2=

441

22^2=

484

23^2=

529

24^2=

576

25^2=

625

√1 =

1

√2 ≈

1.4

√3 ≈

1.7

√4 =

2

√9 =

3

√16 =

4

√25 =

5

√36

6

√49

7

√64 =

8

√81

9

√121

11

√144

12

√169

13

√196

14

√225

15

√256

16

√289

17

√324

18

√361

19

√441

21

√400

20

√441

21

√484

22

√529

23

√576

24

√625

25

2^(3)

1/8

2^(2)

1/4

2^(1)

1/2

2^0

1

2^2

4

2^3

8

2^4

16

2^5

32

2^6

64

2^7

128

2^8

256

2^9

512

2^10

1024

3^(3)

1/27

3^(2)

1/9

3^(1)

1/3

3^0

1

3^1

3

3^2

9

3^3

27

3^4

81

3^5

243

3^6

729

3^7

2187

3^8

6561

3^9

19,683

3^10

59,049

1^3

1

2^3

8

3^3

27

4^3

64

5^3

125

3√1
(cubed root of 1) 
1

3√8
(cubed root of 8) 
2

3√27
(cubed root of 27) 
3

3√64
(cubed root of 64) 
4

3√125
(cubed root of 125 
5

0!

1

1!

1

2!

2

3!

6

4!

24

5!

120

6!

720

7!

5,040

Shortcut for the sum of consecutive integers?

1. Average the first and last term to find the middle point or term
2. Derive the total # of terms 3. The sum = middle point * # of terms 
Positive x Negative =

Negative

Negative x Negative =

Positive

Positive ÷ Negative =

Negative

Negative ÷ Negative =

Positive

Odd + Odd =

Even

Even + Even =

Even

Odd  Odd =

Even

Even  Even =

Even

Odd + Even =

Odd

Odd  Even =

Odd

Even x Odd =

Even

Even x Even =

Even

Product of an even integer with any other integer is ?

Even

Product of ALL odd integers is?

Odd

Odd ÷ Even ≠

Integer

Even ÷ Odd =

Even (or Fraction)

Odd ÷ Odd =

Odd (or Fraction)

Divisibility test for 2:

last digit divisible by 2

Divisibility test for 3:

sum of digits

Divisibility test for 4:

last two digits

Divisibility test for 5:

Last digit 0 or 5

Divisibility test for 6:

test for 2 AND 3

Divisibility test for 8:

last three digits
(remember powers of 2 > 64, 128, 256, 512, 1024, etc.) 
Divisibility test for 9:

sum of digits

Divisibility test for 12:

test for 3 AND 4

Divisibility test for 14:

Test for 2 and 7

Divisibility test for 15:

Test for 3 and 5

Do Not Multiply Out Intermediate Calculations

Simplify later

X^2Y^2 =

(X+Y)(XY)
