Equations Flashcards

1
Q

Area of a trapezium

A

(a+b) x h
——————
2

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2
Q

Circumference

A

pii x D

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3
Q

Area of circle

A

pii x r squared

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4
Q

Area of a sector

A

(angle/360) x pii x r squared

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5
Q

Volume of a pyramid

A

1/3 x base area x height

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6
Q

Simple Interest

A

Initial amount x interest rate x time

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7
Q

Pythagoras theorem

A

a squared + b squared = c squared

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8
Q

Direct proportion

A

y = kx

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9
Q

Inverse proportion

A

y = k
——
x

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10
Q

Area of a triangle

A

1/2 x base x height

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11
Q

Area of triangle

A

1/2 x ab sinC

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12
Q

SoH CaH ToA

A

sin (x) = opp/hyp

cos (x) = adj/hyp

tan (x) = opp/adj

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13
Q

Arc length

A

(sector angle/360) x circumference

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14
Q

Volume of a cone

A

1/3 x height x pii x r squared

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15
Q

Volume of a pyramid

A

1/3 x base x length x width

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16
Q

Volume of a sphere

A

4/3 x pii x r squared

17
Q

Volume of a cylinder

A

pii x r squared x height

18
Q

Surface area of a sphere

A

4 x pii x r squared

19
Q

Surface area of a hemisphere

A

3 x pii x r squared

20
Q

Curved surface area of a cone

A

pii x radius x slant height

21
Q

Quadratic formula

A

x = -b +- square root b squared - 4ac
————————————————
2a

22
Q

Equation of a circle

A

x squared + y squared = r squared

23
Q

Median/middle position

A

(n=1) / 2

24
Q

Mean in a table

A

add frequency/100

25
Q

Sine rule

A

a b c
_____ = —— = _____
sinA sinB sinC

26
Q

Cosine rule

A

a squared =

b squared + c squared - 2bc x cosA

27
Q

Volume of a prism

A

area of cross section x length

28
Q

algebraic proof

A

probability

29
Q

Function graphs

A

exponential =
y = 2 to the power of x

reciprocal =
y = 1/x

cubic =
y= x cubed - 3x - 1

30
Q

Quadratic nth term

A

nth term = an squared + bn + c

sequence = a + b + c

1st difference = 3a + b

2nd difference = 2a

31
Q

Estimated mean

A

total fx / total frequency