Area of a Rectangle
Area of a Parallelogram
Area of a Triangle
Area of a Trapezium
Volume of a Cuboid
Volume of a Prism
\(V = \text{area of cross section} × \text{length} \)
Volume of a Cylinder
\[V = \pi r^2h \]
Volume of a Pyramid
\(V = \frac{1}{3} × \text{area of base} × h \)
Circumference of a Circle
\[C = \pi D\ \]
\[\text{ or } \]
\[C = 2 \pi r\]
Area of a Circle
\[A = \pi r^2 \]
Speed, Distance, Time
\[\text{speed} = \frac{\text{distance}}{\text{time}} \]
Density, Mass, Volume
\[\text{density} = \frac{\text{mass}}{\text{volume}} \]
Trigonometric Ratios
\[\sin x° = \frac{opp}{hyp}\]
\[\cos x° = \frac{adj}{hyp}\]
\[\tan x° = \frac{opp}{adj}\]
Sine Rule
\(\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} \)
Cosine Rule
\(a^2 = b^2 + c^2 - 2bc \cos A \)
Area of a triangle
\(\text{Area of triangle} = \frac{1}{2}ab \sin C \)
Pythagoras Theorem
\(\text{For a right-angled triangle,}\)
\(a^2 + b^2 = c^2\)
The Quadratic Equation
\[\text{If } ax^2 + bx + c = 0 \text{ then:}\]
\[x = {-b \pm \sqrt{b^2-4ac} \over 2a}\]
\[ \text{where } a \ne 0.\]