Wages, Salaries and Pay Periods
Understand the difference between wages and salaries, convert pay across common time periods, and compare job offers fairly. All pay period conversions flow through annual salary, master that hub and the rest is arithmetic.
Practise this lesson
Three printable worksheets that build from foundations to mastery, or build your own from any module’s questions.
If two friends both earn "$80,000 a year," but one gets paid weekly and the other monthly, do they actually take home the same amount each pay? What if one of them is paid by the hour, how would you even compare them?
Before calculatingwrite your gut feeling. We will revisit this at the end of the lesson.
All pay period conversions in Maths Standard flow through annual salary as the hub. Lock these conversions in, every Financial Mathematics question builds from them.
Weekly wage = hourly rate × hours worked. Annual = weekly × 52. To go to any other period: divide annual by the number of that period in a year (26 fortnights, 12 months).
Key facts
- The difference between a wage and a salary
- The key conversion formulas: weekly, fortnightly, monthly, annual
- That there are 52 weeks, 26 fortnights and 12 months in a year
- That "monthly pay = weekly × 4" is incorrect
Concepts
- Why all pay period conversions flow through annual salary
- How to identify the pay unit given and the pay unit required
- Why some months have 5 weeks and the impact on conversions
Skills
- Calculate weekly, fortnightly, monthly and annual pay from any given rate
- Reverse-calculate an hourly rate from an annual salary
- Compare two job offers expressed in different pay units
A wage earner is paid per hour. If they work more hours, they earn more; if they work fewer, they earn less. A salary earner receives the same total pay each year no matter how many hours they work.
| Feature | Wage | Salary |
|---|---|---|
| Pay basis | Per hour worked | Fixed annual amount |
| More hours = more pay? | Yes | No |
| Common in | Retail, hospitality, trades | Professional, management roles |
| Quoted as | $/hr or $/week | $/year (per annum) |
Wage: paid per hour (more hours = more pay). Salary: fixed annual amount regardless of hours. Conversions hub through annual: Annual = Weekly × 52; Fortnightly = Annual ÷ 26; Monthly = Annual ÷ 12. Monthly pay ≠ weekly × 4.
Pause, copy the wage vs salary distinction (wage: hourly rate × hours worked; salary: fixed annual amount), the conversion hub formulas (Annual = Weekly × 52 = Fortnightly × 26 = Monthly × 12), and the warning that Monthly ≠ Weekly × 4 into your book.
Quick check: To convert a weekly wage of $980 to an annual salary, which operation is correct?
We just saw that wages are paid per hour while salaries are fixed annually, and that all pay period conversions flow through the annual figure. That raises a question: given the hub method, what is the most reliable way to convert a fortnightly salary to a weekly or monthly amount without introducing rounding errors? This card answers it → always convert to annual first (× 52 or × 26 or × 12), then divide by the target-period divisor, never convert directly between non-adjacent periods.
The cleanest method is to always convert to annual first, then to the target period. This avoids rounding errors that build up when converting directly.
| From → To | Operation |
|---|---|
| Hourly → Weekly | × hours per week |
| Weekly → Annual | × 52 |
| Annual → Weekly | ÷ 52 |
| Annual → Fortnightly | ÷ 26 |
| Annual → Monthly | ÷ 12 |
Always convert to annual first, then to the target period. Direct period-to-period conversion introduces rounding errors. 52 weeks, 26 fortnights, 12 months per year. Hourly from annual: divide annual by 52, then by hours per week.
Pause, copy the hub method (always go to annual first, then divide by 52, 26, or 12 for the target period) and the hourly-from-annual conversion (Annual ÷ 52 ÷ hours per week = hourly rate) into your book.
True or false: Monthly pay is correctly calculated by multiplying weekly pay by 4.
Worked examples · 4 in a row, reveal as you go
Priya works 38 hours per week at $26.40 per hour. Calculate her annual income.
Marcus earns an annual salary of $84,500. What is his fortnightly pay? Give your answer to the nearest cent.
Job A pays $58,240 per year. Job B pays $23.20 per hour for 40 hours per week. Which job pays more annually?
An apprentice earns a salary of $61,152 per year and works 36 hours per week. Calculate the equivalent hourly rate, correct to the nearest cent.
Fill the gap: An annual salary of $65,000 gives a fortnightly pay of $ (because there are 26 fortnights in a year).
Common errors · the 3 traps that cost marks
Match each conversion: Select the correct operation for each.
Quick-fire practice · 4 calculations
Leah earns $29.40 per hour and works 32 hours each week. Calculate her weekly pay and annual income.
Job A offers a salary of $63,500 per year. Job B pays $31.25 per hour for 38 hours per week. Which job pays more annually, and by how much?
A graduate role pays $74,880 per year for a 39-hour work week. Calculate the equivalent hourly rate, correct to the nearest cent.
Convert an annual salary of $58,500 to: (a) weekly, (b) fortnightly, (c) monthly.
Top 3 list: Name THREE facts that could cause an error when converting between pay periods (e.g. a number that students get wrong).
Look back at what you wrote in the Think First section. The two friends both earn $80,000 per year so their annual income is identical. What differs is the amount each pay day, but over a year it sums to the same figure. The hourly worker needs both an hourly rate AND hours worked before you can compare: $26 × 38 × 52 = $51,376 per year.
What has changed? What did you get right? What surprised you?
Pick your answer, then rate your confidencethat tells the system what to drill next. Each retry pulls a fresh mix from the bank.
SA 1. Leah earns $29.40 per hour and works 32 hours each week. Calculate (a) her weekly pay and (b) her annual income. (2 marks)
SA 2. Job A offers a salary of $63,500 per year. Job B pays $31.25 per hour for 38 hours per week. (a) Calculate the annual pay for Job B. (b) Which job pays more annually, and by how much? (3 marks)
SA 3. A graduate role pays $74,880 per year for a 39-hour work week. Calculate the equivalent hourly rate, correct to the nearest cent. (2 marks)
Comprehensive answers (click to reveal)
Drill 1: Weekly = $29.40 × 32 = $940.80; Annual = $940.80 × 52 = $48,921.60
Drill 2: Job A = $63,500. Job B weekly = $31.25 × 38 = $1,187.50; annual = $1,187.50 × 52 = $61,750. Job A pays more by $1,750 per year.
Drill 3: Weekly = $74,880 ÷ 52 = $1,440. Hourly = $1,440 ÷ 39 = $36.92/hr
Drill 4: (a) $58,500 ÷ 52 = $1,125/week (b) ÷ 26 = $2,250/fortnight (c) ÷ 12 = $4,875/month
SA 1 (2 marks): (a) $29.40 × 32 = $940.80 [1] (b) $940.80 × 52 = $48,921.60 [1]
SA 2 (3 marks): (a) Weekly = $31.25 × 38 = $1,187.50; annual = $1,187.50 × 52 = $61,750 [2] (b) $63,500 − $61,750 = $1,750; Job A pays more by $1,750 per year [1]
SA 3 (2 marks): Weekly = $74,880 ÷ 52 = $1,440 [1]; Hourly = $1,440 ÷ 39 = $36.92/hr [1]
Five timed questions on wages, salaries and pay period conversions. Beat the boss to bank a tier, gold (90% + speed), silver (75%), or bronze (50%). Replays welcome.
⚔ Enter the arenaClimb platforms by answering questions on wages, salaries and pay periods. Pool: lesson 1.
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