Wages and overtime
Calculate weekly wages from a standard hourly rate, and gross pay including overtime at time-and-a-half or double time and weekend and public holiday penalty rates.
Worked examples
Weekly wage at a standard hourly rate
Straightforward
Problem
Sarah works hours in a week and is paid per hour. Calculate her weekly wage.
1
Identify the hourly rate and the number of hours worked.
Hourly rate , hours worked
2
Use the formula: weekly wage hours worked hourly rate.
3
Multiply to find the weekly wage.
Answer
Pay including time-and-a-half overtime
Moderate
Problem
Tom earns per hour for a standard -hour week. He works hours overtime at time-and-a-half. What is his total weekly pay?
1
Calculate standard pay for the 38 hours.
2
Find the overtime rate. Time-and-a-half means the normal rate.
3
Calculate overtime pay for 4 hours.
4
Add standard pay and overtime pay to find total weekly pay.
Answer
Fortnightly income with weekend and public holiday penalty rates
Challenging
Problem
Priya works standard hours in a fortnight at per hour. She also works hours on Saturday at time-and-a-half and hours on a public holiday at double time. Calculate her fortnightly gross income.
1
Calculate standard fortnightly pay.
2
Find the Saturday rate (time-and-a-half) and calculate Saturday pay.
3
Find the public holiday rate (double time) and calculate public holiday pay.
4
Add all three components to find the fortnightly gross income.
Answer
Practise
Q1·Straightforward
Sarah works hours in a week and is paid per hour. Calculate her weekly wage.
Explanation
Q2·Straightforward
James earns per hour and works hours in a week. Calculate his weekly wage.
Explanation
Q3·Straightforward
A cashier is paid per hour for a -hour week. What is her weekly pay?
Explanation
Q4·Straightforward
Marcus earns per hour and works hours per week. Find his weekly wage.
Explanation
Q5·Moderate
Tom earns per hour for a standard -hour week. He works hours overtime at time-and-a-half. What is his total weekly pay?
Explanation
Standard pay:
Overtime rate: per hour
Overtime pay:
Overtime rate: per hour
Overtime pay:
Q6·Moderate
Lisa is paid per hour for a standard -hour week. She works additional hours at double time. What is her gross weekly pay?
Explanation
Standard pay:
Double-time rate: per hour
Overtime pay:
Double-time rate: per hour
Overtime pay:
Q7·Moderate
Michael earns per hour. He works standard hours and hours overtime at time-and-a-half. Calculate his weekly pay.
Explanation
Standard pay:
Overtime rate: per hour
Overtime pay:
Overtime rate: per hour
Overtime pay:
Q8·Moderate
Rachel earns per hour. Her employer pays double time for Saturday work. She works standard hours and hours on Saturday. Find her total weekly pay.
Explanation
Standard pay:
Saturday rate: per hour
Saturday pay:
Saturday rate: per hour
Saturday pay:
Q9·Challenging
Priya works standard hours in a fortnight at per hour. She also works hours on Saturday at time-and-a-half and hours on a public holiday at double time. Calculate her fortnightly gross income.
Explanation
Standard pay:
Saturday rate: per hour
Saturday pay:
Public holiday rate: per hour
Public holiday pay:
Saturday rate: per hour
Saturday pay:
Public holiday rate: per hour
Public holiday pay:
Q10·Challenging
Dan earns per hour for a standard -hour week. In a fortnight he works his standard hours, plus hours overtime at time-and-a-half and hours on a public holiday at double-time-and-a-half. Find his fortnightly gross income.
Explanation
Standard pay:
Time-and-a-half rate: per hour
Overtime pay:
Double-time-and-a-half rate: per hour
Public holiday pay:
Time-and-a-half rate: per hour
Overtime pay:
Double-time-and-a-half rate: per hour
Public holiday pay:
Q11·Challenging
Amy works standard hours per fortnight at per hour. She also works hours on Saturday at time-and-a-half and hours on Sunday at double time. Calculate her fortnightly gross income.
Explanation
Standard pay:
Saturday rate: per hour
Saturday pay:
Sunday rate: per hour
Sunday pay:
Saturday rate: per hour
Saturday pay:
Sunday rate: per hour
Sunday pay:
Q12·Challenging
A worker earns per hour for a standard -hour week. In one fortnight they work their standard hours plus hours overtime: the first hours at time-and-a-half and the remaining hours at double time. Calculate their fortnightly gross income.
Explanation
Standard pay:
Time-and-a-half rate: per hour
First overtime block:
Double-time rate: per hour
Second overtime block:
Time-and-a-half rate: per hour
First overtime block:
Double-time rate: per hour
Second overtime block:
Open Math
Wages and overtime
Number · MA5-FIN-C-01
Name:
Date:
Q1Straightforward
Sarah works hours in a week and is paid per hour. Calculate her weekly wage.
Q2Straightforward
James earns per hour and works hours in a week. Calculate his weekly wage.
Q3Straightforward
A cashier is paid per hour for a -hour week. What is her weekly pay?
Q4Straightforward
Marcus earns per hour and works hours per week. Find his weekly wage.
Q5Moderate
Tom earns per hour for a standard -hour week. He works hours overtime at time-and-a-half. What is his total weekly pay?
Q6Moderate
Lisa is paid per hour for a standard -hour week. She works additional hours at double time. What is her gross weekly pay?
Q7Moderate
Michael earns per hour. He works standard hours and hours overtime at time-and-a-half. Calculate his weekly pay.
Q8Moderate
Rachel earns per hour. Her employer pays double time for Saturday work. She works standard hours and hours on Saturday. Find her total weekly pay.
Q9Challenging
Priya works standard hours in a fortnight at per hour. She also works hours on Saturday at time-and-a-half and hours on a public holiday at double time. Calculate her fortnightly gross income.
Q10Challenging
Dan earns per hour for a standard -hour week. In a fortnight he works his standard hours, plus hours overtime at time-and-a-half and hours on a public holiday at double-time-and-a-half. Find his fortnightly gross income.
Q11Challenging
Amy works standard hours per fortnight at per hour. She also works hours on Saturday at time-and-a-half and hours on Sunday at double time. Calculate her fortnightly gross income.
Q12Challenging
A worker earns per hour for a standard -hour week. In one fortnight they work their standard hours plus hours overtime: the first hours at time-and-a-half and the remaining hours at double time. Calculate their fortnightly gross income.
Worked solutions and answers at openmath.au/year-10/earning-money/wages-and-overtime