Tools · General Mathematics

VCE General Maths formula sheet

Key formulas students look up for VCE General Mathematics: data analysis, recursion and financial modelling, networks, and matrices — a quick study reference.

Data analysis

Standardised score $z=\dfrac{x-\bar{x}}{s}$
Least-squares line $y=a+bx,\quad b=r\dfrac{s_y}{s_x}$
Range / IQR $\text{IQR}=Q_3-Q_1$

Recursion & financial modelling

First-order recurrence $t_{n+1}=R\,t_n+d$
Compound interest factor $R=1+\dfrac{r}{100}$ (per period)
Simple interest $I=\dfrac{P\,r\,T}{100}$

Networks

Euler's formula (connected planar graph) $v-e+f=2$
Sum of degrees $\textstyle\sum \deg(v)=2e$

Matrices

2×2 determinant $\det\!\begin{bmatrix}a&b\\c&d\end{bmatrix}=ad-bc$
2×2 inverse $A^{-1}=\dfrac{1}{ad-bc}\begin{bmatrix}d&-b\\-c&a\end{bmatrix}$

A study reference compiled by ATAR99. The official VCAA formula/data sheet is provided in your exam — always use that as the authority on the day.

Know the formulas — now use them

Practise past-exam-style General Mathematics papers and get your answers marked mark-by-mark.

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