GCSE Maths Key Facts

sin 0

0

sin 30

1/2

sin 45

√2/2

sin 60

√3/2

sin 90

1

cos 0

1

cos 30

√3/2

cos 45

√2/2

cos 60

1/2

cos 90

0

tan 0

0

tan 30

√3/3

tan 45

1

tan 60

√3

tan 90

-

Surface area of a cone

πr² + πrl

Surface area of a cylinder

2πr²+2πrh

Surface area of a sphere

4πr²

Volume of a sphere

4/3 πr³

Volume of a cylinder

πr²h

Volume of a pyramid

1/3 x area of base x height

y=-f(x)

Reflection in x axis
change the sign on the y

y=f(-x)

Reflection in y axis
Change the sign on x

y=f(x)+a

Translation of y coordinate
Add a to y coordinate

y=(fx +a)

Translation of x coordinate
Take a away from x coordinate

y=af(x)

Enlargement scale factor a
Multiply y by a

y=f(ax)

Enlargement by scale factor 1/a
Multiply x by 1/a