GCSE Edexcel Maths Higher
area of a circle - Answer-
surface area of a sphere - Answer-
surface area of a cone - Answer-πr x slanted length x πr^2
volume of cone - Answer-
volume of a sphere - Answer-
area of trapezium - Answer-1/2(a+b) x height
circumference of a circle - Answer-π x d
volume of a cuboid - Answer-l x w x h
volume of a cylinder - Answer-
volume of a pyramid - Answer-1/3 x area of base x h
distance - Answer-speed x time
density - Answer-mass/volume
pressure - Answer-force/area
Pythagoras' Theorem - Answer-a^2 + b^2 = c^2
Quadratic equation - Answer-when ax^2 + bx + c = 0
,Sine rule - Answer-a/sinA = b/sinB = c/sinC
Cosine rule - Answer-
Area of a triangle - Answer-1/2 x a x b x sinC
area of a sector - Answer-angle/360 x area of full circle
segment area - Answer-sector area - area of triangle
x angles - Answer-equal
corresponding angles - Answer-equal
alternate angles - Answer-equal
co-interior angles - Answer-add to 180
total of exterior angles - Answer-360
1 exterior angle - Answer-360/number of sides
sum of interior angles - Answer-(sides - 2) x 180
sin/cos/tan 45, lengths= - Answer-
sin/cos/tan 30 or 60, lengths= - Answer-
a^m x b^n - Answer-ab^m+n
, a^m / b^n - Answer-a/b^m-n
a^0 - Answer-1
a^1 - Answer-a
(a^m)^n - Answer-a^mxn
(a/m)^n - Answer-a^n/m^n
a^-m - Answer-1/a^m
a^1/m - Answer-^m√a
a^m/n - Answer-(^n√a)^m
3D Pythagoras' theorem - Answer-a^2 + b^2 + c^2 = d^2
when to use cosine rule - Answer-2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - Answer-2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions - Answer-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 - Answer-translation in the y-axis (move up or down by the amount of a eg. +2 = move up 2)
y=f(x+a) - Answer-translation in the x-axis (but if it says +2 move down 2 ITS OPPOSITE!!)
area of a circle - Answer-
surface area of a sphere - Answer-
surface area of a cone - Answer-πr x slanted length x πr^2
volume of cone - Answer-
volume of a sphere - Answer-
area of trapezium - Answer-1/2(a+b) x height
circumference of a circle - Answer-π x d
volume of a cuboid - Answer-l x w x h
volume of a cylinder - Answer-
volume of a pyramid - Answer-1/3 x area of base x h
distance - Answer-speed x time
density - Answer-mass/volume
pressure - Answer-force/area
Pythagoras' Theorem - Answer-a^2 + b^2 = c^2
Quadratic equation - Answer-when ax^2 + bx + c = 0
,Sine rule - Answer-a/sinA = b/sinB = c/sinC
Cosine rule - Answer-
Area of a triangle - Answer-1/2 x a x b x sinC
area of a sector - Answer-angle/360 x area of full circle
segment area - Answer-sector area - area of triangle
x angles - Answer-equal
corresponding angles - Answer-equal
alternate angles - Answer-equal
co-interior angles - Answer-add to 180
total of exterior angles - Answer-360
1 exterior angle - Answer-360/number of sides
sum of interior angles - Answer-(sides - 2) x 180
sin/cos/tan 45, lengths= - Answer-
sin/cos/tan 30 or 60, lengths= - Answer-
a^m x b^n - Answer-ab^m+n
, a^m / b^n - Answer-a/b^m-n
a^0 - Answer-1
a^1 - Answer-a
(a^m)^n - Answer-a^mxn
(a/m)^n - Answer-a^n/m^n
a^-m - Answer-1/a^m
a^1/m - Answer-^m√a
a^m/n - Answer-(^n√a)^m
3D Pythagoras' theorem - Answer-a^2 + b^2 + c^2 = d^2
when to use cosine rule - Answer-2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - Answer-2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions - Answer-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 - Answer-translation in the y-axis (move up or down by the amount of a eg. +2 = move up 2)
y=f(x+a) - Answer-translation in the x-axis (but if it says +2 move down 2 ITS OPPOSITE!!)
