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6. Wages Salaries

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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
www.mathsrevision.com




                             •      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 :
www.mathsrevision.com




                        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
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                        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 :
www.mathsrevision.com




                        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
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




                        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 :
www.mathsrevision.com




                        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 :
www.mathsrevision.com




                        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 :
www.mathsrevision.com




                        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 :
www.mathsrevision.com




                        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 :
www.mathsrevision.com




                        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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