Mathematics Standard • Year 11 • Module 3 • Lesson 2
Overtime, Penalty Rates and Allowances
Practise HSC-style writing on penalty rates and allowances — multi-mark short answers and one structured extended response.
1. Short-answer questions
1.1 A worker is paid $22.80/hr. They work a 38-hour ordinary week plus 5 hours of overtime at time-and-a-half. Calculate the total gross weekly pay. 3 marks Band 3
1.2 A nurse's base rate is $36.40/hr. On a public holiday she works 8 hours paid at double time and a half. She also receives a $30 meal allowance for the shift. Calculate her total pay for the public holiday. 3 marks Band 3-4
1.3 A plumber earns $32.50/hr. In one week he works 38 ordinary hours, 3 hours at time-and-a-half on Saturday, and receives a $19.00/day tool allowance over 5 working days.
(a) Calculate his total ordinary pay.
(b) Calculate his Saturday overtime pay.
(c) Calculate the total tool allowance.
(d) Calculate his gross weekly pay. 4 marks Band 4
2. Extended response
2.1 Mia works as a hospital orderly. Her award rates are:
• Ordinary hours (Mon–Fri): $28.60 per hour.
• Saturday hours: time-and-a-half.
• Sunday hours: double time.
• Public-holiday hours: double time and a half.
• Meal allowance: $16.50 per day worked.
In a particular week, Mia worked 32 ordinary hours (Mon–Thu, 8 hours each day), 6 hours on Saturday, and 4 hours on a public holiday (Friday — Anzac Day).
(a) Calculate Mia's ordinary pay for the week.
(b) Calculate Mia's Saturday pay and her Anzac Day pay separately.
(c) Calculate her total meal allowance for the week (Mon, Tue, Wed, Thu, Fri Anzac Day, Sat — 6 working days).
(d) Calculate Mia's gross weekly pay. State the answer in a clear conclusion sentence with units. 7 marks Band 5-6
Explicit marking criteria
Part (a) — 1 mark
• 1 mark — correct ordinary pay: $28.60 × 32.
Part (b) — 2 marks
• 1 mark — Saturday rate calculated correctly and applied to 6 hours.
• 1 mark — Anzac Day rate (double time and a half) correctly applied to 4 hours.
Part (c) — 1 mark
• 1 mark — meal allowance = $16.50 × 6 = $99.00.
Part (d) — 3 marks
• 1 mark — sums every component correctly (ordinary + Sat + Anzac + allowance).
• 1 mark — does NOT apply any penalty multiplier to the meal allowance.
• 1 mark — explicit conclusion sentence with the dollar total and "per week".
Your response:
Stuck? Set out your work as a table of rows: Ordinary, Saturday, Anzac Day, Meal allowance — then sum.How did this worksheet feel?
What I'll revisit before next class:
1.1 — Ordinary + time-and-a-half (3 marks)
Sample response.
OT rate = $22.80 × 1.5 = $34.20/hr.
Ordinary = $22.80 × 38 = $866.40.
Overtime = $34.20 × 5 = $171.00.
Gross = $866.40 + $171.00 = $1,037.40.
Marking notes. 1 mark — correct OT rate or correct ordinary pay (either gets the first mark). 1 mark — correct overtime pay using the OT rate. 1 mark — correct total with units. A bare "$1,037.40" with no working scores 1/3 even if numerically correct.
1.2 — Public holiday + meal allowance (3 marks)
Sample response.
Public-holiday rate = $36.40 × 2.5 = $91.00/hr.
Pay = $91.00 × 8 = $728.00.
With meal allowance = $728.00 + $30.00 = $758.00.
Marking notes. 1 mark — correct double time and a half rate. 1 mark — correct hours pay. 1 mark — correctly adds the $30 allowance as a flat amount (NOT × 2.5). Common error: multiplying the meal allowance by 2.5 gives $75 and a wrong total of $803 — penalty multipliers do not apply to allowances.
1.3 — Plumber with Saturday overtime + tool allowance (4 marks)
Sample response.
(a) Ordinary = $32.50 × 38 = $1,235.00.
(b) Sat rate = $32.50 × 1.5 = $48.75/hr. Sat pay = $48.75 × 3 = $146.25.
(c) Tool allowance = $19.00 × 5 = $95.00.
(d) Gross = $1,235.00 + $146.25 + $95.00 = $1,476.25.
Marking notes. 1 mark each for (a), (b), (c) being individually correct. 1 mark for (d) — correct sum with units. The most common slip is forgetting to add the tool allowance to the gross total.
2.1 — Mia's pay slip (7 marks): sample Band-6 response with annotations
Sample Band-6 response.
(a) Ordinary pay.
Ordinary = $28.60 × 32 = $915.20. [1 mark — ordinary pay.]
(b) Saturday and Anzac Day pay.
Saturday rate = $28.60 × 1.5 = $42.90/hr. Saturday pay = $42.90 × 6 = $257.40. [1 mark — Saturday.]
Anzac Day rate = $28.60 × 2.5 = $71.50/hr. Anzac pay = $71.50 × 4 = $286.00. [1 mark — Anzac Day.]
(c) Meal allowance.
Days worked: Mon, Tue, Wed, Thu, Fri (Anzac), Sat = 6 days.
Meal allowance = $16.50 × 6 = $99.00. [1 mark — allowance, no multiplier applied.]
(d) Gross weekly pay.
Sum: $915.20 + $257.40 + $286.00 + $99.00 = $1,557.60. [1 mark — correct sum.]
Note: the $16.50/day allowance was NOT multiplied by 1.5 or 2.5 even on the Saturday/Anzac days. [1 mark — allowance treatment.]
Conclusion: Mia's gross weekly pay is $1,557.60 per week. [1 mark — explicit conclusion with units.]
Total: 7/7.
Band descriptors for marker.
Band 3: Calculates ordinary pay correctly and attempts one penalty rate, but misapplies a multiplier (e.g. uses 1.5 for Anzac Day). ≈ 2-3 marks.
Band 4: All four components calculated but allowance multiplied incorrectly OR forgets one component. ≈ 4-5 marks.
Band 5: Full calculation, allowance treated correctly, but final answer not given as a sentence with units. ≈ 6 marks.
Band 6: Complete, every component correctly calculated, allowance kept flat across penalty days, AND a clear conclusion sentence with the dollar total and time unit. 7/7.