# 6. Wages Salaries by pengxuebo

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```									                                    Wages & Salaries
General

Hourly Rates / Wages
Wages / Hourly Rates
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Weekly / Monthly Wages
Annual Salaries
Wage Rises
Commission Wages
Overtime Pay
Gross - Deductions = NET pay
Harder Commission

24-Apr-14          Created by Mr. Lafferty Maths Dept.
Starter Questions
General
www.mathsrevision.com

24-Apr-14        Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
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•      To explain how to calculate                1. Understand the terms wage
wages.                                        and salary.

2. Calculate wage / salary given
hourly rate.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Wages / Salary :   How much a person is paid to do a job.
www.mathsrevision.com

Can be measured weekly, monthly or
annually.

Hourly rate :       How much you get paid for
an hours work.

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Sean the mechanic hourly rate of pay is £6.50.
Last week he worked 38 hours.
What is his basic pay?

Pay is = £6.50 x 38 = £247.00

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
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Adam is a joiner his hourly rate of pay is £10.50.
He works 40 hours a week. What is his basic pay?

Pay is = £10.50 x 40 = £420.00

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 1 a
Ch 6 (page 64)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General

Q1.    Find the value of y when 2y + 6 = 24
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Q2.     Find the two missing angles

Q3.    Find two numbers that add give 10 and
divide to give 4.

24-Apr-14            Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Understand the term hourly
hourly rates.                                 rate.

2. Calculate hourly rates given
the wage and hours worked.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Nathan the gardener is paid £ 200 a week.
He works 40 hours a week. What is his hourly rate?

Hourly rate is = £200 ÷ 40 = £5.00

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
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Chris starts a new job and is promised a hourly rate of
£4.90. His wage for the week was £153.60 for 32 hours
of work.
Was the employers promise true.
Pay is = £153.60 ÷ 32 = £4.80
False !

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 1 b
Ch 6 (page 66)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General
www.mathsrevision.com

24-Apr-14       Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Calculate weekly and monthly
weekly and monthly wages                      wages from annual salary.
from annual salary.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Michael gets an annual salary of £ 30 000.
What is his monthly wage.
What is his weekly wage.
Monthly wage:          £30 000 ÷ 12 = £ 2 500

Weekly wage :          £30 000 ÷ 52 = £ 576.92

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 2 a
Ch 6 (page 68)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General
www.mathsrevision.com

24-Apr-14       Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Understand the term annual
annual salary / wage.                         salary.

2. Calculate annual salary.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Annual Wage / Salary
www.mathsrevision.com

How much a person is paid in a year.
12 months in a year
52 weeks in a year

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Georgia gets paid £ 1 500 in a month.
What is her annual Salary.

Annual salary is = £1 500 x 12 = £ 18 000

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
www.mathsrevision.com

Caitlin is a shop assistant and gets paid
£239 a week.
How much is her annual salary.

Annual Salary =£239 x 52 = £ 12 428

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 3 :
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A mechanic gets paid £1 100 a month.
A bus driver gets paid £260 a week.

Who gets the better annual salary.

Mechanic : Annual Salary = £1 100 x 12 = £ 13 200

Bus Driver : Annual Salary = £260 x 52 = £ 13 520
Bus driver has better annual wage
24-Apr-14            Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 2 b
Ch 6 (page 70)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General
www.mathsrevision.com

24-Apr-14        Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Calculate a percentage rise.
new wages after a wage
rise.                                      2. Calculate new wages after a
percentage rise.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
How to find % of a quantity
using a calculator
General

example
Find
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Step 1 : Convert % to a decimal

of means x
Step 2 :

Step 3 : Do sum

Calculator Keys

4              1     0     0       x         4         8       0   =   19.2
24-Apr-14                   Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
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Rachael earned an annual salary of £ 20 000 last year.
She receives a 10% rise this year.
What is her new salary.

Rise : 10 ÷ 100 x £20 000 = £ 2 000

New salary : £20 000 + £2 000 = £ 22 000

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 3 :
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Kerr earned an annual salary of £ 18 000 last year.
He receives a 4% rise this year.
What is his new salary.

Rise : 4 ÷ 100 x £18 000 = £ 720
:
New salary £18 000 + £720 = £ 18 720

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 3
Ch 6 (page 72)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General

Q1.      How much should I get if I work
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30 hours at a rate of £5 per hour.

Q2. Find the missing angle
33o

Q3. Find 25% of 50

24-Apr-14            Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Understand the term
wages when commission is                      commission.
involved.
2. Calculate wages involving
commission.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Commission :         Money earned based on how much
you sell. Usual expressed as a
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percentage.

Write some people who get commission

Car sales person
Double glazing sales person

24-Apr-14           Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Bob sells car. He is paid a commission of 5% on any cars
he sells. Last week he sold £ 20 000 worth of cars.
How much commission was he paid ?

Commission : 5 ÷ 100 x £20 000 = £ 1 000

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
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Henrik gets paid £60 for playing for his local football
team. He gets a bonus of £30 for every goal he scores.

If he scored a hat-trick in a game. How much was he paid.

Paid : 60 + 3 x 30 = 60 + 90 = £150

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 4
Ch 6 (page 74)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General

Q1. Find value of x when x + 4 = 16
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Q2. Find two missing angles

32o
Q3. Find 20 % of 150

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Understand the terms
wages which include                           overtime, ‘double time’ and
overtime rates.                               ‘time and a half’.

2. Calculate wages with overtime.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Overtime :         When you do extra work above your basic
hours.
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You get a better hourly rate for overtime.

Write down the two common rates of overtime

Double time                                         Time and a
(x2)                                             half (x1.5)

24-Apr-14                 Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
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Sean the painter works for £6.00 per hour.
His overtime rate is “Double time”.
What does he get paid for 4 hours overtime.

4 hours Overtime is = 4 x 2 x £6 = £48.00

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
Example 2 :
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Jordan the gardener works a basic 40 hours a week.
He does 5 hours overtime at ‘double time’ on Saturday.
His hourly rate is £8 per hour.
Work out his overtime pay and then his total pay.

5 hours overtime is = 5 x £8 x 2 = £80.00
40 hours basic time is = 40 x £8 = £320.00

Total pay is = £320 + £80 = £400
24-Apr-14             Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
Example 3 :
www.mathsrevision.com

Tim the shop assistance works a basic 30 hours a week.
He does 4 hours overtime at ‘time and a half’ on Sunday.
His hourly rate is £6 per hour.
Work out his overtime pay and then his total pay.

4 hours overtime is = 4 x £6 x 1.5 = £36.00
30 hours basic time is = 30 x £6 = £180.00

Total pay is = £36 + £180 = £216.00
24-Apr-14             Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 5
Ch 6 (page 76)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General

• Two numbers add to give 12 and divide
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to give 3. Find the two numbers.

2. Two numbers subtract to give 5 and
multiply to 24. Find the two numbers.

3. Make your own question up.

24-Apr-14       Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Understand the terms Gross,
NET pay.                                      Deductions and NET pay.

2. Calculate NET pay.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
Write down
General                                                                                 some
Gross Pay         :    What you are paid by the employer.
Deductions :           Taken off your wages.
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Net Pay           :    Your take home pay.

Tax
National
Insurance
Pension

24-Apr-14             Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Calculate the Net wage for the following :
Gross    Deductions Net Wage
£15 550       £3 400                            £12 150
£13 025       £2 905                            £10 120
£22 430       £5 094                            £17 336

24-Apr-14             Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
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Calculate the Net wage for this payslip :

704.00
149.00
555.00

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 3 :
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Calculate the Net wage for this payslip :

739.15
207.76
531.39

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try Ex 6
Ch 6 (page 80)

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Starter Questions
General

Q1. Factorise 3x + 15
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Q2. Find two missing angles

32o
Q3. Find 5 % of 150

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Wages & Salaries
General

Learning Intention                                     Success Criteria
www.mathsrevision.com

•      To explain how to work out                 1. Be able to calculate harder
harder commission                             commission problems.
problems.

24-Apr-14                    Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Commission :         Money earned based on how much
you sell. Usual expressed as a
www.mathsrevision.com

percentage.

Write some people who get commission

Car sales person
Double glazing sales person

24-Apr-14           Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 1 :
www.mathsrevision.com

Liam sells car. He is paid a commission of 15% on any
Windows he sells.
Last month he sold £ 30 000 worth of windows.
How much commission was he paid ?

Commission : 15 ÷ 100 x £30 000 = £ 4500

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 2 :
www.mathsrevision.com

Caitlin is a door to door cosmetic saleswoman.
She gets 7% commission on everything over £500
she sells. During the Christmas period she sold £6500
Worth of products. How much commission was she paid ?

Value over £ : £6500 – £500 = £ 6000
Commission :       7 ÷ 100 x £6 000 = £ 420

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General

Example 3 :
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Lewis gets a basic salary of £150 a week plus 5% of
the total value of doors he sells.
He sold £4000 worth of doors last week.
How much did he earn last week ?

Commission :        5 ÷ 100 x £4 000 = £ 200
Total wage :        £140 + £200 = £ 340

24-Apr-14         Created by Mr. Lafferty Maths Dept.
Salaries & Overtime
General
www.mathsrevision.com

Now try
Extension Booklet
4E (page 25)

24-Apr-14         Created by Mr. Lafferty Maths Dept.

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