area of a circle
surface area of a sphere
surface area of a cone
πr x slanted length x πr^2
volume of cone
volume of a sphere
area of trapezium
1/2(a+b) x height
circumference of a circle
π x d
volume of a cuboid
l x w x h
volume of a cylinder
volume of a pyramid
1/3 x area of base...
area of a circle
surface area of a sphere
surface area of a cone
πr x slanted length x πr^2
volume of cone
volume of a sphere
area of trapezium
1/2(a+b) x height
circumference of a circle
π x d
volume of a cuboid
l x w x h
volume of a cylinder
volume of a pyramid
1/3 x area of base x h
distance
speed x time
density
mass/volume
pressure
force/area
Pythagoras' Theorem
a^2 + b^2 = c^2
Quadratic equation
when ax^2 + bx + c = 0
Sine rule
a/sinA = b/sinB = c/sinC
Cosine rule
Area of a triangle
1/2 x a x b x sinC
area of a sector
angle/360 x area of full circle
segment area
sector area - area of triangle
x angles
equal
corresponding angles
equal
,alternate angles
equal
co-interior angles
add to 180
total of exterior angles
360
1 exterior angle
360/number of sides
sum of interior angles
(sides - 2) x 180
sin/cos/tan 45, lengths=
sin/cos/tan 30 or 60, lengths=
a^m x b^n
ab^m+n
a^m / b^n
a/b^m-n
a^0
1
a^1
a
(a^m)^n
a^mxn
(a/m)^n
a^n/m^n
a^-m
1/a^m
a^1/m
^m√a
a^m/n
(^n√a)^m
3D Pythagoras' theorem
a^2 + b^2 + c^2 = d^2
when to use cosine rule
2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule
2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions
replace x's with y's and make everything equal to x
make y the subject
replace the y with f^-1(x)
y=f(x)+a
, translation in the y-axis (move up or down by the amount of a eg. +2
= move up 2)
y=f(x+a)
translation in the x-axis (but if it says +2 move down 2 ITS
OPPOSITE!!)
y=f(xa)
stretch in the x direction (leaving the y values unchanged) by a
factor of 1/a
y=f(x/a)
stretch in the x direction (leaving the y values unchanged) by a
factor of a
y=-f(x)
reflection in the x-axis
y=f(-x)
reflection in the y-axis
∉
not a member of a set
∈
member of a set
ξ
universal set (all the numbers in the Q)
∪
union (combination of all members of each set in question)
∩
intersect (all numbers that are members of exclusively both sets in
question)
'
Everything NOT in the set
√a x √b
√a x b
√a / √b
√a/b
√a + √b
DO NOTHING
a/ √b
a/√b x √b/√b = a√b/b
'exact value' meaning
surd form
when to use quadratic formula
if it wont factorise
if the question mentions decimal places or significant figures
dividing fractions
KEEP TIMES SWITCH- KTS
common denominator is also....
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