smc-4331-10-Wages

v1 Financial Maths, STD2 F1 2004 HSC 27b

Jack is paid at these rates:

\begin{array}{|l|} \hline \text{Weekday rate} & \text{$\$$15 per hour}\\ \text{Saturday rate} & \text{Time-and-a-half}\\ \text{Sunday rate} & \text{Double time}\\ \hline \end{array}

His time sheet for last week is:

\begin{array}{|l|l|l|l|} \hline & \textit{Start} & \textit{Finish} & \textit{Unpaid break}\\ \hline \text{Friday} & \text{9.00 am} & \text{4.00 pm} & \text{1 hour} \\ \text{Saturday} & \text{9.00 am} & \text{4.00 pm} & \text{1 hour} \\ \text{Sunday} & \text{9.00 am} & \text{1.00 pm} & \text{30 minutes} \\ \hline \end{array}

Calculate Jack's gross pay for last week. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
Jack decides not to work on Sundays. He wants to keep his weekly gross pay the same. How many extra hours at the weekday rate must he work? (1 mark)
--- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

$\$330$
$\text{7 extra hours}$

Show Worked Solution

i.	$\text{Pay(Fri)}$	$=6 \ \text {hours } \times 15.00$
		$=\$90.00$
	$\text{Pay(Sat)}$	$=6 \ \text {hours } \times 1.5 \times 15.00$
		$=\$135.00$
	$\text{Pay(Sun)}$	$=3.5 \ \text {hours } \times 2 \times 15.00 $
		$=\$105.00$

$\therefore \text{Gross pay }$	$=90+135+105$
	$=\$330$

ii. $\text{Pay on Sun}=\$105$

$\text{Weekly equivalent hours}$	$=\dfrac{105}{15}$
	$=7 \ \text{hours}$

$\therefore \ \text{He will have to work 7 extra hours on a weekday}$

v1 Financial Maths, STD2 F1 2013 HSC 11 MC

An enterprise agreement has the following annual salary arrangements:

Rowan's employer pays 5% more than the enterprise agreement. He is on Step 2 and receives an allowance for Leader 1.

What is Rowan's gross monthly pay?

$3575.50
$3730.00
$3937.50
$4150.00

Show Answers Only

`C`

Show Worked Solution

♦ Mean mark 46%

`text(Gross annual pay)`	`=(40\ 000+5000)xx1.05`
	`=$47\ 250`

`:.\ text(Gross monthly pay)`	`=(47\ 250)/12`
	`=$3937.50`

`=>\ C`

v1 Financial Maths, STD2 F1 2007 HSC 3 MC

Dan is about to go on holidays for four weeks. His weekly salary is $375 and his holiday loading is 20% of four weeks pay.

What is Dan's total pay for the four weeks holiday?

$400
$1250
$1800
$2150

Show Answers Only

`C`

Show Worked Solution

`text(Salary)\ text{(4 weeks)}`	`= 4 xx 375`
	`= $1500`

`text(Holiday loading)`	`= 1500 xx 20%`
	`= $300`

`:.\ text(Total pay)`	`= 1500+300`
	`= $1800`

`=> C`

v1 Financial Maths, STD2 F1 2008 HSC 7 MC

Maya’s regular wage is $20 per hour. One week, she worked 9 hours at double time.

How many hours would Maya need to work at time-and-a-half to earn the same amount?

Show Answers Only

`C`

Show Worked Solution

`text(Amount earned at double time)`

`= 9 xx 2 xx 20`

`= $360`

`text(Time-and-a-half rate)`	`= 1.5 xx 20`
	`= $30 text(/hr)`

`:.\ text(# Hours at time-and-a-half)`

`= 360 / 30`

`= 12\ text(hrs)`

`=> C`

Financial Maths, SMB-005

On a weekend, Abbey works 8 hours at her normal pay rate and 12 hours at time and a half of her normal pay.

Abbey was paid $707.20 in total for this work.

What is her normal pay rate per hour? (2 marks)

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Show Answers Only

`$27.20\ text(per hour)`

Show Worked Solution

`text(Total normal hours)`

`= 8 + 1.5 xx 12`

`= 26`

`:.\ text(Abbey’s normal pay rate)`

`= 707.20/26`

`= $ 27.20\ text(per hour.)`

Financial Maths, SMB-004

John, Olivia and Louis are picking grapes to earn money.

Their pay is based on the number of tonnes of grapes they pick.

	Tonnes picked
John	4
Olivia	3
Louis	1

Their total pay is $640.

How much does Olivia earn? (2 marks)

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Show Answers Only

`$240`

Show Worked Solution

`text(Payment per tonne)`

`= 640/8`

`= $80`

`:.\ text(Olivia earns)`	`= 3 xx 80`
	`= $240`

Financial Maths, SMB-003 MC

David has a job selling mobile phone plans. His weekly salary, `W` dollars, is calculated using the rule below:

`W = 300 + 0.05 P`

where `P` is the total value in dollars of the mobile phone plans he sells that week.

David sold $32 000 worth of mobile phone plans in a given week.

What was David's salary in the week?

`$640`
`$1280`
`$1900`
`$3230`

Show Answers Only

`C`

Show Worked Solution

`W`	`= 300 + 0.05 xx 32\ 000`
	`= 300 + 1600`
	`= 1900`

`=>C`

Financial Maths, SMB-002

Bella is an electrician.

She charges $150 to attend a job and then a fixed price for each minute she spends on the job.

The graph below shows Bella's charge based on the number of minutes she spends at the job.

How much will Bella charge for a job that takes 60 minutes? (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

`$330`

Show Worked Solution

`text(Charge to attend = $150)`

`text(From the graph,)`

`=>\ text(50 minute job costs $300)`

`:.\ text(C)text(ost per minute)`

`= (300-150)/50 = $3`

`:.\ text(C)text(ost of 60 minute job)`

`= 150 + 60 xx 3`

`= $330`

Financial Maths, SMB-001

Olivia earned $17.24 per hour working at a pizza store.

This week she worked for `8 1/4` hours.

She used the money she earned this week to buy concert tickets for herself and her friends.

Each concert ticket cost $14.15.

Calculate the maximum number of concert tickets Olivia could have bought? (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

`10`

Show Worked Solution

`text(Money earned)`	`= 8 1/4 xx 17.24`
	`= $142.23`

`:.\ text(Maximum tickets)`	`= 142.23/14.15`
	`= 10.05…`
	`= 10`

Financial Maths, STD2 F1 2022 HSC 7 MC

Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day.

What are Tian's total earnings if she works 9 hours per day for 5 days?

`$329.85`
`$936.45`
`$1001.25`
`$1649.25`

Show Answers Only

`C`

Show Worked Solution

`text{Earnings (5 days)}`	`=5 xx [(9 xx 20.45) + 16.20]`
	`=5 xx 200.25`
	`=$1001.25`

`=>C`

Financial Maths, STD2 F1 2019 HSC 7 MC

Julia earns $28 per hour. Her hourly pay rate increases by 2%.

How much will she earn for a 4-hour shift with this increase?

$2.24
$28.56
$112
$114.24

Show Answers Only

`D`

Show Worked Solution

`text(Hourly rate)`	`= 28 xx 1.02`
	`= $28.56`

`:.\ text(Shift earnings)`	`= 4 xx 28.56`
	`= $114.24`

`=> D`

Financial Maths, STD2 F1 2017 HSC 6 MC

Tom earns a weekly wage of $1025. He also receives an additional allowance of $87.50 per day when handling toxic substances.

What is Tom’s income in a fortnight in which he handles toxic substances on 5 separate days?

$1112.50
$1462.50
$2225.00
$2487.50

Show Answers Only

`D`

Show Worked Solution

`text(Fortnightly wage)`	`= 2 xx 1025`
	`= $2050`

`text(Allowances)`	`= 5 xx 87.50`
	`= $437.50`

`:.\ text(Income)`	`= 2050 + 437.50`
	`= $2487.50`

`=>D`

Financial Maths, STD2 F1 2016 HSC 26e

Jenny earns a yearly salary of $63 752. Her annual leave loading is 17.5% of four weeks pay.

Calculate her total pay for her four weeks of annual leave. (3 marks)

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Show Answers Only

`$5762.20`

Show Worked Solution

`text(4 weeks’ normal pay)`

`= 4/52 xx 63\ 752`

`= $4904`

`:.\ text(Annual leave pay)`

`= 4904(1 + 17.5/100)`

`= $5762.20`

Financial Maths, STD2 F1 2016 HSC 20 MC

Isabella works a 35-hour week and is paid at an hourly rate of $18. Any overtime hours worked are paid at time-and-a-half. In a particular week, she earned $1008.

How many hours in total did Isabella work in this week to earn this amount?

37.3
42
49
56

Show Answers Only

`=> C`

Show Worked Solution

`text(Let)\ \ X=\ text(number of extra hours worked.)`

`text(Total wage)`	`= 35 xx 18 + X xx 27`
`1008`	`= 630 + 27X`
`27X`	`=378`
`X`	`=14`

`:.\ text(Total hours worked)\ =35+14=49`

`=> C`

Financial Maths, STD2 F1 2004 HSC 27b

David is paid at these rates:

His time sheet for last week is:

Calculate David’s gross pay for last week. (3 marks)

--- 6 WORK AREA LINES (style=lined) ---
David decides not to work on Saturdays. He wants to keep his weekly gross pay the same. How many extra hours at the weekday rate must he work? (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

`$414.00`
`text(9 extra hours)`

Show Worked Solution

i. `text{Pay (Fri)}`	`= text(4 hours) xx 18.00`
	`= $72.00`
`text{Pay (Sat)}`	`= 6\ text(hours) xx 1.5 xx 18.00`
	`= $162.00`
`text{Pay (Sun)}`	`= 5\ text(hours) xx 2 xx 18.00`
	`= $180.00`

`:.\ text(Gross pay)`	`= 72 + 162 + 180`
	`= $414.00`

ii. `text(Pay on Sat) = $162.00`

`text(Weekly equivalent hours)`

`= 162/18`

`= 9\ text(hours)`

`:.\ text(He will have to work 9 extra hours on)`

`text(a weekday for the same gross pay)`

Financial Maths, STD2 F1 2007 HSC 3 MC

Joe is about to go on holidays for four weeks. His weekly salary is $280 and his holiday loading is 17.5% of four weeks pay.

What is Joe’s total pay for the four weeks holiday?

$196
$329
$1169
$1316

Show Answers Only

`D`

Show Worked Solution

`text(Salary)\ text{(4 weeks)}`	`= 4 xx 280`
	`= $1120`

`text(Holiday loading)`	`= 1120 xx 17.5%`
	`= $196`

`:.\ text(Total pay)`	`= 1120 + 196`
	`= $1316`

`=> D`

Financial Maths, STD2 F1 2008 HSC 7 MC

Luke’s normal rate of pay is $15 per hour. Last week he was paid for 12 hours, at time-and-a-half.

How many hours would Luke need to work this week, at double time, to earn the same amount?

Show Answers Only

`D`

Show Worked Solution

`text(Amount earned last week)`

`= 12 xx 1.5 xx 15`

`= $270`

`text(Double time rate)`	`= 2 xx 15`
	`= $30 text(/hr)`

`:.\ text(# Hours at double time)`

`= 270/30`

`= 9\ text(hrs)`

`=> D`

Financial Maths, STD2 F1 2009 HSC 10 MC

Billy worked for 35 hours at the normal hourly rate of pay and for five hours at double time. He earned $561.60 in total for this work.

What was the normal hourly rate of pay?

$7.02
$12.48
$14.04
$16.05

Show Answers Only

`B`

Show Worked Solution

`text(Let hourly rate) = $X\ text(per hour)`

`35X + 5(2X)`	`= 561.60`
`45X`	`=561.60`
`X`	`= 561.60/45`
	`= $12.48`

`=> B`

Financial Maths, STD2 F1 2012 HSC 18 MC

Jo qualifies for both Rent Assistance and Youth Allowance and receives a fortnightly payment from the government.

Rent Assistance is $119.40 per fortnight.

The maximum Youth Allowance is $402.70 per fortnight. It is reduced by 50 cents in the dollar for any income earned over $236 per fortnight.

Jo earns $300 per fortnight from a part-time job.

What is the total payment Jo receives each fortnight from the government?

$370.70
$372.10
$458.60
$490.10

Show Answers Only

`D`

Show Worked Solution

`text(Rent assistance)\ = $119.40`

`text(Youth allowance)`	`= 402.70\ text(less 50c per dollar)\ \ (text(income) > $236)`
	`= 402.70-0.5(300-236)`
	`= 402.70-32`
	`= $370.70`

`:.\ text{Total Payment}`	`=119.40 + 370.70`
	`=$490.10`

`=> D`

Financial Maths, STD2 F1 2013 HSC 11 MC

An enterprise agreement has the following annual salary arrangements:

George's employer pays 6% more than the enterprise agreement. He is on Step 3 and receives an allowance for Leader 2.

What is George's gross monthly pay?

$4375.00
$4412.50
$4600.00
$4637.50

Show Answers Only

`D`

Show Worked Solution

♦ Mean mark 46%

`text(Gross annual pay)`	`=(45\ 000+7500)xx1.06`
	`=$55\ 650`

`:.\ text(Gross monthly pay)`	`=(55\ 650)/12`
	`=$4637.50`

`=>\ D`

Financial Maths, STD2 F1 2013 HSC 3 MC

Luke's normal rate of pay is $24.80 per hour. In one week he worked 14 hours at the normal rate, 4 hours at time-and-a-half, and 3 .5 hours at double time. He was also paid a wet weather allowance of $50 for the week.

What was his pay for the week?

$583.20
$620.40
$669.60
$719.60

Show Answers Only

`D`

Show Worked Solution

`text(Pay)`	`=(14xx24.80)+(4xx1.5xx24.80)+(3.5xx2xx24.80)+50`
	`=347.20+148.80+173.60+50`
	`=$719.60`

`=>D`

i.	\(\text{Pay(Fri)}\)	\(=6 \ \text {hours } \times 15.00\)
		\(=\$90.00\)
	\(\text{Pay(Sat)}\)	\(=6 \ \text {hours } \times 1.5 \times 15.00\)
		\(=\$135.00\)
	\(\text{Pay(Sun)}\)	\(=3.5 \ \text {hours } \times 2 \times 15.00 \)
		\(=\$105.00\)

\(\therefore \text{Gross pay }\)	\(=90+135+105\)
	\(=\$330\)

\(\text{Weekly equivalent hours}\)	\(=\dfrac{105}{15}\)
	\(=7 \ \text{hours}\)