Higher GCSE Mathematics Formulae to
learn
Pythagoras’
theorem
In any
right-angled triangle
with sides of length 
and 
where 
is
the length of the hypotenuse
Trigonometry
Area of a triangle
Area of a
triangle = 
Area of a
triangle = 
Cosine
Rule
If you know all three sides you can
rearrange the formula to find any angle.
Sine Rule
or 
Circumference and Area of a Circle
Circumference of a circle = 
Area of a circle = 
is the radius and 
is
the diameter
The Quadratic Formula
The roots of the equation 
with 
are 
Volume of a Prism
The volume of a prism = area of cross-section
length
Volume of a cylinder
= area of cross-section height
Volume of a Pyramid
V = one third of the area of the base
height
Area of a trapezium
The area of a trapezium is the sum of
the areas of two tringles with the same height
Area = 
You may want to check that you also
know all the formulae required for the foundation tier.