Quadratic Formula  solve:
\(a\)\(x^2\)+\(b\)\(x\)+\(c\)=\(0\)
where \(a\) \(\neq\) \(0\)

\begin{array}{*{20}c} {x = \frac{{  b \pm \sqrt {b^2  4ac} }}{{2a}}}\\ \end{array}

Circumference of a Circle:

\(2\)\(\pi\)\(r\) or
\(\pi\)\(d\)
where \(r\)=radius, \(d\)=diameter

Area of a Circle:

\(\pi\)\(r\)\(^2\)

Pythagoras theorem
In any rightangled triangle where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:

\(a^2\)+\(b^2\)=\(c^2\)

Trig: In any rightangled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(sinA\)=

\(sinA\)=\(\frac{a}{c}\)

Trig: In any rightangled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(cosA\)=

\(cosA\)=\(\frac{b}{c}\)

Trig: In any rightangled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:
\(tanA\)=

\(tanA\)=\(\frac{a}{b}\)

Sine Rule:

\(\frac{a}{sinA}\)=\(\frac{b}{sinB}\)=\(\frac{c}{sinC}\)

Cosine Rule:

\(a^2\)=
\(b^2\)+\(c^2\)\(2\)\(b\)\(c\) \(cosA\)

Trigonometry: Area of a Triangle

\(\frac{1}{2}\)\(a\)\(b\)\(SinC\)

Area of a Trapezium=
(Where \(a\) and \(b\) are the lengths of the parallel sides and \(h\) is their perpendicular separation)

\(\frac{1}{2}\) (\(a\) + \(b\))\(h\)

Volume of a Prism:

area of cross section × length

Compound interest: Where \(P\) is the principal amount, \(r\) is the interest rate over a given period and \(n\) is number of times that the interest is compounded,
Total accrued=

Total accrued=
\begin{array}\(P\left(1+ \frac{r}{100}\right)^n\end{array}

Where P(A) is the probability of outcome A and P(B) is the probability of outcome B:
P(A or B) =

P(A or B) = P(A) +P(B)  P(A and B)

Where P(A) is the probability of outcome A and P(B) is the probability of outcome B:
P(A and B)

P(A and B) =
P(A given B) P(B)

Curved surface area of a cone:

\(\pi\)\(r\)\(l\)

Surface area of a Sphere:

\(4\)\(\pi\)\(r\)\(^2\)

Volume of a Sphere:

\(\frac{4}{3}\)\(\pi\)\(r\)\(^3\)

Volume of a Cone:

\(\frac{1}{3}\)\(\pi\)\(r\)\(^2\)\(h\)

Final Velocity \(v\):

\(v\)=\(u\)+\(at\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(t\)=time taken)

Displacement \(s\):

\(s\)=\(ut\) +\(\frac{1}{2}\)\(a\)\(t\)\(^2\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(t\)=time taken)

Velocity \(v\)\(^2\):

\(v\)\(^2\)=\(u\)\(^2\)+ \(2\)\(as\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(s\)=displacement)
