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NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Advanced 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 12

Financial mathematics
Reducing balance loans
  • Recognise a reducing balance loan algebraically as a compound interest loan with periodic repayments

  • Examine the effect of varying the interest rate and repayment amount on the time taken to repay a loan, with or without digital tools or by using a given graph

  • Solve problems that involve reducing balance loans by calculating the total amount paid, equal periodic repayments, the amount still owing and the time taken to repay the loan

Annuities
  • Identify an annuity as either an investment account with regular, equal contributions and interest compounding at the end of each period, or as a single sum investment from which regular equal withdrawals are made

  • Define and model the future value of an annuity as the sum of all the payments, together with the interest they have earned

  • Examine the effect of varying the amount initially invested, the value of the periodic payment, the interest rate and the duration of the annuity on the total value of the investment, using digital tools

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