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Nat 5 Maths > Identifying Formula > Flashcards

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
Q

Volume of a Prism

A

V= area x height

26
Q

Volume of a Cuboid

A

V = l x b x h

27
Q

Volume of a Cylinder

A

V= pi x radius squared x height

28
Q

Gradient of a Line

A

m = y2-y1/ x2-x1

29
Q

Equation for a Straight line

A

y-b=m(x-a) or y=mx+c

30
Q

Arc length

A

AL= angle/360 x pi x d

31
Q

Area of a sector

A

AS= angle/360 x pi x radius squared

32
Q

Discriminant

A

b squared - 4ac

33
Q

Trig Identities

A

tanx = sinx/cosx or cos^2x + sin^2 x =1

34
Q

Magnitude of a Vector

A

a = the square root of - a1 squared + a2 squared + a3 squared

35
Q

Semi-Interquartile range (SIQR)

A

Q3(upper quartile) - Q1(Lower quartile) / 2

36
Q

Percentage Increase/Decrease

A

Increase(Decrease)/ original x 100

37
Q

c squared = a squared + b squared

A

Pythagoras Theorem

38
Q

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

A

Right-Angled Trig

39
Q

A= 1/2 x b x h

A

Area of a Triangle

40
Q

A= pi x r squared

A

Area of a Circle

41
Q

V= area x height

A

Volume of a Prism

42
Q

V = l x b x h

A

Volume of a Cuboid

43
Q

V= pi x radius squared x height

A

Volume of a Cylinder

44
Q

m = y2-y1/ x2-x1

A

Gradient of a Line

45
Q

y-b=m(x-a) or y=mx+c

A

Equation for a Straight Line

46
Q

AL= angle/360 x pi x d

A

Length of an Arc

47
Q

AS= angle/360 x pi x radius squared

A

Area of a Sector

48
Q

b squared - 4ac

A

Discriminant

49
Q

tanx = sinx/cosx or cos^2x + sin^2 x =1

A

Trig. Identities

50
Q

a = the square root of - a1 squared + a2 squared + a3 squared

A

Magnitude of a Vector

51
Q

Q3(upper quartile) - Q1(Lower quartile) / 2

A

Semi-Interquartile range (SIQR)

52
Q

Increase(Decrease)/ original x 100

A

Percentage Increase/Decrease

Nat 5 Maths (2 decks)

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