§-Quick questions
NSWMaths Standard 2Year 12: Financial Mathematics
Quick questions on Reducing-balance loans, amortisation tables and total interest for HSC Maths Standard 2
4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is building the amortisation table, row by row?Show answer
An amortisation table tracks each period in five columns: opening balance, interest, payment, principal repaid, and closing balance. The safest way to build one is one row at a time, carrying each closing balance down to be the next opening balance. Take a $20000 car loan at per month (a p.a. rate) with $400 monthly repayments, and build the first three months stage by stage.
What is total interest paid?Show answer
If the loan is repaid by payments of :
What is australian mortgage context?Show answer
A typical Sydney mortgage in 2025: $700000 borrowed at around per annum (typical major-bank variable rate, RBA cash rate plus bank margin). Over years monthly:
What is wrong sign on the closed form?Show answer
The balance formula subtracts the payment term. Sign errors mean you compute the wrong direction.
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