HSC Mathematics Standard 1 topic guide

Financial Mathematics

Financial Mathematics is a core part of HSC Mathematics Standard 1. This guide connects the syllabus ideas behind Earning and Managing Money, Simple Interest and Purchasing, 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.

C.1

Earning and Managing Money

Wages, Salary and Overtime · Taxation and Budgeting

C.2

Simple Interest and Purchasing

Simple Interest · Buying Goods

Free worked preview

Wages, Salary and Overtime

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.

Ways of Being Paid

This lesson opens the Financial Mathematics topic, and starts where financial life actually begins for most people: getting paid. Understanding your payslip — whether you're on a salary or an hourly wage, and how overtime is calculated — means you can check you're being paid correctly and plan your income realistically. By the end of this lesson you'll be able to calculate pay for both salaried and waged workers, including overtime at time-and-a-half or double time, and convert an annual salary into a weekly or fortnightly amount.
Salary vs Wages

Salary: a fixed annual amount, usually paid in equal instalments (weekly, fortnightly, monthly) regardless of hours worked. Wages: paid per hour worked — total pay depends directly on hours.

Overtime Rates
Time-and-a-half=1.5×normal rateDouble time=2×normal rate\text{Time-and-a-half} = 1.5 \times \text{normal rate} \qquad \text{Double time} = 2 \times \text{normal rate}

Overtime is usually paid for hours beyond a standard threshold (e.g. 38 hours/week), often at a higher rate.

Common ErrorWhen converting a salary to a weekly or fortnightly amount, use the correct number of pay periods per year — 52 weeks, 26 fortnights, or 12 months — not an approximation like "52 ÷ 4 = 13 per month."
Worked Example A worker earns $28/hour for a standard 38-hour week, plus time-and-a-half for any overtime. Find their pay for a week with 5 hours of overtime.
1Standard hours at normal rateNormal pay=38×28=$1064\text{Normal pay} = 38 \times 28 = \$1064
2Time-and-a-half rateOvertime rate=1.5×28=$42/hr\text{Overtime rate} = 1.5 \times 28 = \$42/\text{hr}
3Overtime hours at the overtime rateOvertime pay=5×42=$210\text{Overtime pay} = 5 \times 42 = \$210
Total pay=1064+210=$1274\text{Total pay} = 1064+210 = \$1274
Practice QuestionAn employee on an annual salary of $70,200 is paid fortnightly. Find their fortnightly pay.

Use the formulas

Keep the formula sheet beside you

Revision becomes faster when you practise locating the right equation and understand what every variable means. The full reference is public and searchable on any device.

Open HSC Mathematics Standard 1 Formula Sheet →

Reviewed by the Study to Learn editorial team · Updated 2026-07-24