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HSC-STD-2 · Financial Mathematics

Financial Mathematics

HSC HSC Mathematics Standard 2 · 2024 content registry · first HSC 2027

Official NSW Curriculum syllabus and implementation timeline ↗Download questions and solutions PDF
MS-F1MS-F4MS-F5
Assessment evidence

What these examples cover

These examples show assessable skills, not an official HSC topic weighting or prediction. The 2024 NSW syllabuses have their first HSC examination in 2027; students sitting the 2026 HSC continue under the applicable 2017 syllabus.

Teacher check

Teacher verification note: check the mathematics, notation, permitted technology and syllabus fit for your cohort before classroom or assessment use.

3 deterministic examples

Financial Mathematics questions with worked solutions

Each question is generated from an existing curriq QDSL archetype at a fixed seed. Marks and catalog content mappings travel with the generated question.

Worked example 1

2 marksstd2-f1-2
Weekly earnings Matthew earns AUD 30 per hour and receives time-and-a-half for hours beyond 38 in a week.
Part a · 2 marks

Calculate his earnings for a 45-hour week.

Worked solution

Answer: 1455

  1. Ordinary Pay: 1140
  2. Overtime Pay: 1455

Catalog reference: std2_bar25_weekly_overtime_pay · seed 41001

Worked example 2

2 marksstd2-f4-1
Dividend yield Ray owns 7200 shares with a total market value of AUD 108000. The dividend is AUD 6/5 per share.
Part a · 2 marks

Calculate the dividend yield as a percentage.

Worked solution

Answer: 8

  1. Unit Price: 15
  2. Percentage: 8

Catalog reference: std2_asc25_dividend_yield · seed 41001

Worked example 3

2 marksstd2-f4-2
Declining-balance depreciation A photocopier purchased for AUD 12000 depreciates by 20% per year using the declining-balance method.
Part a · 2 marks

Find its value after 3 years, to the nearest cent.

Worked solution

Answer: 6144

  1. Percentage Decrease: 4/5
  2. Compound Depreciation: 6144

Catalog reference: std2_sgs25_declining_balance_depreciation · seed 41001

Content mapping and common errors

Financial Mathematics content identifiers

MS-F1

Money Matters

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

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.

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.

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

Source and methodology

Examples are deterministic curriq catalog generations from existing QDSL archetypes at the published fixed seed. The generator copies only student-facing prompts, mark allocations, topic mappings, display tables or options, checked answers and marking-path results into this resource.

Review the official NSW Curriculum source ↗

Other Standard 2 topics

Algebra
3 content identifiers
Measurement
4 content identifiers
Statistical Analysis
4 content identifiers
Networks
2 content identifiers

From the blog

Study guide
HSC Financial Maths Standard 2 — Complete Study Guide
Annuities
HSC Standard 2 Annuities (MS-F5) — Worked Examples
Assessment
How to Write an HSC Maths Assessment Task

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