Formulae sheet

These formulae are not required to be learnt. A clean copy of this formulae sheet will be issued to you in the examination.

Volume and surface area

Shape	Volume	Surface area
Cone	$V = \frac{1}{3} π r^{2} h$	$A = π r l + π r^{2}$
Sphere	$V = \frac{4}{3} π r^{3}$	$A = 4 π r^{2}$
Pyramid	$V = \frac{1}{3}$ base $\times h$

Financial calculation - AER

The annual effective interest rate (AER), $r$ , is given by

$r = {(1 + \frac{i}{n})}^{n} - 1$

where $i$ is the nominal interest rate, and $n$ is the number of compounding periods per year.

Note: the values of $i$ and $r$ should be expressed as decimals.

Financial calculation - APR

The annual percentage interest rate (APR) is given by

$C = Σ_{k = 1}^{m} (\frac{A_{k}}{{(1 + i)}^{t_{k}}})$

where $£ C$ is the amount of the loan, $m$ is the number of repayments, $i$ is the APR expressed as a decimal, $£ A_{k}$ is the amount of the $k$ th repayment, $t_{k}$ is the interval in years between the start of the loan and the $k$ th repayment.

It may be assumed that there are no arrangement or exit fees.

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