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NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Advanced 11–12 Syllabus (2024)

Implementation from 2026
Expand for detailed implementation advice

Content

Year 12

Financial mathematics
Reducing balance loans
  • Recognise a Loading  algebraically as a Loading  loan with periodic Loading 

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

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

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

  • Define and model the Loading  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

  • Solve problems involving annuities in which payments are made at the end of each time period and the future value of an annuity is calculated at the end of one of these periods using the formula for the sum of the first n terms of a geometric sequence
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