Formulas Flashcards

1
Q

How do you calculate the median?

A

n+1 / 2

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2
Q

How do you calculate the Lower Quartile?

A

n+1 / 4

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3
Q

How do you calculate Upper Quartile?

A

3(n+1) / 4

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4
Q

How do you calculate Frequency Density?

A

Frequency / Class Width

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5
Q

How do you calculate Inter Quartile Range?

A

Upper Quartile - Lower Quartile

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6
Q

What is the Cosine Rule?

A

a²= b² + c² - 2bc Cos A

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7
Q

What is the Sine rule for Angles?

A

sinA / a = sinB / b = sinC / c

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8
Q

What is the Sine rule for Sides?

A

a / sinA = b / sinB = c / sinC

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9
Q

How do you calculate Non-right angle triangles?

A

Area = 1/2 a b sinC (But can be anything exp. 1/2 c b sinA)

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10
Q

What does A n B?

A

A and B

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11
Q

What does A u B mean?

A

A or B

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12
Q

What does A’ mean?

A

Not A

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13
Q

What does a closed (coloured) circle and open circle mean in inequalities?

A

Closed - ≤ or ≥

Open - < or >

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14
Q

What is the equation for completing a square?

A

(x + a)² + b

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15
Q

How do you calculate the turning point and the coordinates of that?

A

(x + a)² - b –> (-a , b)

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16
Q

How do you complete the square when the co-efficent is x² ?

A

a(x + b)² + c

17
Q

What is the quadratic formula?

A

x = −b ± √(b2 − 4ac) / 2a

18
Q

X^1/n

A

n^√x

19
Q

X^-n

A

1/X^n

20
Q

√a x √b =

A

√a x b

21
Q
  1. 3√2 x 3√2 =

2. √8 + √18

A
  1. 9√4 = 9 x 2

2. √4√2 + √9+√2 = 5√2

22
Q

How do you find the Nth Term of a Geometric sequence?

A

Un = a x r ^ n-1

23
Q

Find the Arithmetic proggression of u1, u2, u3

A

u2 - u1 = u3 - u2

24
Q

Find the Geometric proggression of u1, u2, u3?

A

u2/u1 = u3/u2

25
Q

How do you find the Nth term of a geometric sequence?

A

Un = a (first number) x r (commen ratio) ^n-1

26
Q

How do you find the Nth term of a Quadratic Sequence?

A
  1. 2 difference/2 to find Xn^2
  2. Then put in a table n^2, term and need.
  3. Then see what it times up and pluses and minuses to get the times.
27
Q

What is a frequency polygon?

A

Line graph

28
Q

How do you calculate percentage change?

A

Actual Change / Original Amount x 100

29
Q

How do you calculate exterior angles of a Polygon?

A

360/number of lengths

30
Q

Hiw do you calculate the Distance between Two Cooridnates?

A

√(x2 - x1)^2 + (y2 - y1)^2

31
Q

How do you calculate the Area of a Sector?

A

angle/360 x πr²

32
Q

How do you calculate the Arc length?

A

Angles/360 x 2πr

33
Q

How do you find the mid-point between two lines?

A

MP = y2 - y1 / x2 - x1

34
Q

What is the perpendicular graident to a parrelle line?

A

Negative Recipricle

35
Q

What is the formula for Circle Graphs?

A

x^2 + y^2 = radius^2

36
Q

What is the form of Cubic Graphs?

A

y = ax³ + bx² + cx + d

37
Q

What form do Quadratic Graphs take?

A

y = ax² + bx + c