GCSE Edexcel Maths Higher Question and Answer
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!!)
