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HSC-STD-2 · Financial Mathematics

Financial Mathematics

HSC HSC Mathematics Standard 2 · 2024 NESA Syllabus

MS-F1MS-F4MS-F5
MS-F1

Money Matters

Solve problems involving earning, spending and budgeting money, including wages, taxation, and simple/compound interest.

Sample questions
  1. 1.Calculate the compound interest on $8 000 invested at 5% p.a. compounded quarterly over 3 years.
  2. 2.Jake earns $21.40/h and works 38 hours/week. Calculate his gross annual salary.
Exam weighting

4–6 marks — very practical, always appears in Section II.

Common student mistakes
  • ·Confusing simple interest with compound interest formulas
  • ·Not converting the interest rate to a decimal
  • ·Forgetting to subtract the principal when finding interest earned
MS-F4

Investments and Loans

Analyse and compare investments and loans using tables, graphs and algebraic methods including reducing-balance loans.

Sample questions
  1. 1.Using the given loan table, find the outstanding balance after 6 months and the total interest paid.
Exam weighting

4–6 marks — table interpretation is a common question type.

Common student mistakes
  • ·Confusing the principal with the outstanding balance in a loan table
  • ·Misidentifying the interest component vs repayment component
MS-F5

Annuities

Solve problems involving annuities using geometric series; interpret future and present value tables.

Sample questions
  1. 1.$500 is deposited at the end of each month into an account earning 6% p.a. compounded monthly. Find the value after 5 years.
Exam weighting

3–4 marks — typically the hardest financial topic.

Common student mistakes
  • ·Using the wrong formula (future value vs present value)
  • ·Not recognising that regular payments form a geometric series

Other Standard 2 topics

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