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



Surface area






Financial calculation - AER

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

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

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

Financial calculation - APR

The annual percentage interest rate (APR) is given by

where is the amount of the loan, is the number of repayments, is the APR expressed as a decimal, is the amount of the th repayment, is the interval in years between the start of the loan and the th repayment.

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