Earning and Managing Money
Wages, Salary, Taxation and Budgeting
HSC Mathematics Standard 2 topic guide
Financial Mathematics
Financial Mathematics is a core part of HSC Mathematics Standard 2. This guide connects the syllabus ideas behind Earning and Managing Money, Investments and Depreciation, Loans and Annuities, shows how they appear in worked problems, and points you to the formulas and full lessons needed for exam revision.
What you will learn
Financial Mathematics syllabus outline
The units below follow the structure used in the full Study to Learn course. Use the outline to identify exactly which idea needs attention, then work through the public example before continuing to the complete lesson path.
Investments and Depreciation
Compound Interest · Depreciation
Loans and Annuities
Loan Repayments · Annuities
Free worked preview
Wages, Salary, Taxation and Budgeting
This complete preview comes from the Earning and Managing Money unit. It introduces the core language, shows the method in context, and gives you a real example of the lesson quality before you create an account.
Income and Tax
This lesson opens the Financial Mathematics topic with the maths behind everyone's first real financial decisions: understanding a payslip, comparing job offers with different pay structures, and working out how much of your income actually reaches your bank account after tax. Different jobs pay in genuinely different ways — a fixed salary, an hourly wage with overtime, or a commission tied to sales — and Australia's progressive tax system taxes different portions of income at different rates rather than one flat rate. After this lesson you will be able to calculate pay under each pay type, estimate tax payable under a progressive system, and set up a basic budget.
Pay Types
Salary: fixed annual amount. Wages: paid per hour, often with overtime at time-and-a-half or double time for extra hours. Commission: a percentage of sales, sometimes combined with a base salary (retainer).
Progressive Tax
Different portions of income are taxed at increasing rates (tax brackets) — only the income within each bracket is taxed at that bracket's rate.
Budgeting
Comparing income against expenses over a period; a budget surplus enables saving, a deficit is unsustainable.
Common ErrorCommission is usually calculated on sales value, not sales count — misreading which figure a commission percentage applies to gives a wrong total.
Worked Example
A salesperson earns a $500/week retainer plus 4% commission on sales. Find their pay for a week with $12,000 in sales.
14% of total sales value
2Multiply 0.04 × 12000
3Add the retainer and the commission
Practice QuestionUsing a simplified system where the first $20,000 is tax-free and the remainder is taxed at 22%, find the tax payable on an income of $68,000.
Reviewed by the Study to Learn editorial team · Updated 2026-07-24