Identifying Formula Flashcards

1
Q

Standard Deviation

A

s= The square root of - The average of (x-x bar) squared divided by the number of data points minus 1

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2
Q

Volume of a Pyramid

A

1/3 times the area of the base x the height

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3
Q

Volume of a Cone

A

1/3 x pi x radius squared x height

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4
Q

Volume of a Sphere

A

4/3 x pi x radius cubed

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5
Q

Area of a Triangle

A

A= 1/2 x a x b x sinC

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6
Q

CoSine Rule for length

A

a squared = b squared + c squared - 2 x b x c x cosA

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7
Q

Sine Rule

A

a/sinA = b/sinB = c/sinC

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8
Q

The Roots of ( Quadratic Formula - Trinomial )

A

aX squared + bX + c = 0

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9
Q

CoSine rule for Angle

A

cosA = b squared + c squared - a squared divided by 2bc

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10
Q

The roots of ( Quadratic Formula- Hard )

A

x = -b +or- the square root of (b squared - 4 x a x c) divided by 2 x a

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11
Q

1/3 x the area of the base x height

A

Volume of a pyramid

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12
Q

S= the square root of - The average of (x-x bar ) squared divided by the number of data points - 1

A

Standard Deviation

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13
Q

1/3 x pi x radius squared x height

A

Volume of a Cone

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14
Q

4/3 x pi x radius cubed

A

Volume of a circle

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15
Q

A= 1/2 x a x b x sinC

A

area of a triangle

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16
Q

a squared = b squared + c squared - 2 x b x c x cosA

A

CoSine rule for length

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17
Q

a/sinA = b/sinB = c/sinC

A

sine rule

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18
Q

aX squared + bX + c = 0

A

The roots of ( Quadratic formula - Trinomials)

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19
Q

cosA = b squared + c squared - a squared divided by 2bc

A

CoSine rule for angle

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20
Q

x = -b +or- the square root of (b squared - 4 x a x c) divided by 2 x a

A

The roots of ( Quadratic Formula - Hard)

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21
Q

Pythagoras Theorem

A

c squared = a squared + b squared

22
Q

Right-Angled Trig

A

SoH, CaH, ToA,
sin = opp/hyp
cos= adj/hyp
tan = opp/adj

23
Q

Area of a Triangle

A

A= 1/2 x b x h

24
Q

Area of a Circle

A

A= pi x r squared

25
Volume of a Prism
V= area x height
26
Volume of a Cuboid
V = l x b x h
27
Volume of a Cylinder
V= pi x radius squared x height
28
Gradient of a Line
m = y2-y1/ x2-x1
29
Equation for a Straight line
y-b=m(x-a) or y=mx+c
30
Arc length
AL= angle/360 x pi x d
31
Area of a sector
AS= angle/360 x pi x radius squared
32
Discriminant
b squared - 4ac
33
Trig Identities
tanx = sinx/cosx or cos^2x + sin^2 x =1
34
Magnitude of a Vector
a = the square root of - a1 squared + a2 squared + a3 squared
35
Semi-Interquartile range (SIQR)
Q3(upper quartile) - Q1(Lower quartile) / 2
36
Percentage Increase/Decrease
Increase(Decrease)/ original x 100
37
c squared = a squared + b squared
Pythagoras Theorem
38
SoH, CaH, ToA, sin = opp/hyp cos= adj/hyp tan = opp/adj
Right-Angled Trig
39
A= 1/2 x b x h
Area of a Triangle
40
A= pi x r squared
Area of a Circle
41
V= area x height
Volume of a Prism
42
V = l x b x h
Volume of a Cuboid
43
V= pi x radius squared x height
Volume of a Cylinder
44
m = y2-y1/ x2-x1
Gradient of a Line
45
y-b=m(x-a) or y=mx+c
Equation for a Straight Line
46
AL= angle/360 x pi x d
Length of an Arc
47
AS= angle/360 x pi x radius squared
Area of a Sector
48
b squared - 4ac
Discriminant
49
tanx = sinx/cosx or cos^2x + sin^2 x =1
Trig. Identities
50
a = the square root of - a1 squared + a2 squared + a3 squared
Magnitude of a Vector
51
Q3(upper quartile) - Q1(Lower quartile) / 2
Semi-Interquartile range (SIQR)
52
Increase(Decrease)/ original x 100
Percentage Increase/Decrease