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Money. Wages & Salaries. National Insurance. Wages Rises. Income Tax. Time-Sheets. Banks & Building Societies. Overtime Pay. Savings and Interest. www.mathsrevision.com. Piecework & Commission. Compound Interest. Payslip. Appreciation & Depreciation. Working Backwards.

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money

Money

Wages & Salaries

National Insurance

Wages Rises

Income Tax

Time-Sheets

Banks & Building Societies

Overtime Pay

Savings and Interest

www.mathsrevision.com

Piecework & Commission

Compound Interest

Payslip

Appreciation & Depreciation

Working Backwards

starter questions
Starter Questions

Q1. Factorise

Q2. Write down the probability of picking out a number

greater than 7 in the national lottery.

www.mathsrevision.com

Q3. If a = -2 and b = -1 calculate

4a2 – 3b2

Q4. Calculate

slide3

Wages & Salaries

Learning Intention

Success Criteria

1. Understand the term weekly monthly and annual salary.

  • To explain how to work out weekly, monthly and annual salary / wage.
  • Calculate weekly, monthly and annual salary.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide4

Wages & Salaries

Annual Wage / Salary

How much a person is paid in a year

12 months in a year

www.mathsrevision.com

52 weeks in a year

Created by Mr. Lafferty Maths Dept.

slide5

Wages & Salaries

Example 1 :

A shop assistant gets paid £12 428 a year.

How much is her weekly wage.

www.mathsrevision.com

£12 428 ÷ 52 = £ 239

Weekly wage =

Created by Mr. Lafferty Maths Dept.

slide6

Wages & Salaries

Example 2 :

A mechanic gets paid £1 100 a month.

A bus driver gets paid £260 a week.

Who gets the better annual salary.

www.mathsrevision.com

Mechanic :

Annual Salary =

£1 100 x 12 = £ 13 200

Annual Salary =

£260 x 52 = £ 13 520

Bus Driver :

Bus driver has better annual wage

Created by Mr. Lafferty Maths Dept.

slide7

Wages & Salaries

Example 3 :

Jim is a joiner his hourly rate of pay is £10.50.

He works 40 hours a week.

What is his basic weekly pay?

What is his annual salary?

www.mathsrevision.com

Weekly Pay is =

£10.50 x 40 = £420

Annual Salary =

£420 x 52 = £21 840

slide8

Wages & Salaries

Example 4 :

Daryl gets an annual salary of £ 30 000.

What is his monthly wage.

What is his weekly wage.

www.mathsrevision.com

£30 000 ÷ 12 = £ 2 500

Monthly wage:

Weekly wage :

£30 000 ÷ 52 = £ 576.92

Created by Mr. Lafferty Maths Dept.

slide9

Wages & Salaries

Now try Ex 3.1

Ch 2 (page 27)

Odd questions

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions10
Starter Questions

Q1. Find the roots for the quadratic to 1 decimal place

Q2. Write down the probability of picking out a number

greater than 20 in the national lottery.

www.mathsrevision.com

Q3. If a = -3 then find f(a)

f(a) = 2a3

Q4. Does

slide11

Wages Rises

Learning Intention

Success Criteria

  • To explain how to work out new wages after a wage rise.

1. Calculate a percentage rise.

2. Calculate new wages after a percentage rise.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide12

Wages Rises

Example 1 :

Gerry earned an annual salary of £ 18 000 last year.

He receives a 4% rise this year.

What is his new salary.

www.mathsrevision.com

Rise :

4 ÷ 100 x £18 000 = £ 720

New salary :

£18 000 + £720 = £ 18 720

Created by Mr. Lafferty Maths Dept.

slide13

Wages Rises

Example 2 :

Amanda new weekly wage after a 5% pay rise , is £363.93

Calculate her wage before the rise.

100% + 5% = 105%

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105% = 363.93

£346.60

100% = 363.93 ÷ 105 x 100 =

Created by Mr. Lafferty Maths Dept.

slide14

Wages Rises

Now try Ex 3.2

Ch 2 (page 28)

Odd questions

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions15
Starter Questions

Q1. Find the roots of the quadratic to 1 decimal place

Q2. Write down the probability of picking out a number

greater than 33 in the national lottery.

www.mathsrevision.com

Q3. If f(x) = (x + 1)(x - 2) find f(-1)

Q4. Explain why the line y + 3x - 6 = 0

cut the x-axis at (2,0) .

slide16

Timesheet

Learning Intention

Success Criteria

  • To work out hours worked from a time sheet using the counting method.

1. Calculate hours worked.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide17

Timesheet

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide18

Timesheet

Example 1 :

Frances starts work at 7.30am and finishes at 3pm.

How many hours did she work.

7 hours

30mins

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7.30am

8.00am

3pm

Total 30mins + 7hours = 7hours 30 mins

Created by Mr. Lafferty Maths Dept.

slide19

Timesheet

Example2 :

Rachel hourly rate is £6.50.

How much is her weekly wage.

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Weekly wage = 38.5 x 6.50 = £ 250.25

Created by Mr. Lafferty Maths Dept.

slide20

Timesheet

Now try Ex 4.1

Ch 2 (page 30)

Odd questions

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions21
Starter Questions

Q1. Solve the equation to 1 decimal place

Q2. Write down the probability of picking out a number

greater than 49 in the national lottery.

www.mathsrevision.com

Q3. Factorise

9m2 – 25n2

Q4. Where does the line 2y -6x + 8 =0 cut y-axis.

slide22

Overtime Pay

Learning Intention

Success Criteria

  • To explain how to work out wages which include overtime rates.

1. Understand the terms overtime, ‘double time’ and ‘time and a half’.

www.mathsrevision.com

2. Calculate wages with overtime.

Created by Mr. Lafferty Maths Dept.

slide23

Overtime Pay

Overtime : When you do extra work above your basic hours.

You get a better hourly rate for overtime.

Write down the two common rates of overtime

www.mathsrevision.com

Double time (x2)

Time and a half (x1.5)

slide24

Overtime Pay

Example 1 :

Anthony the painter works for £6.00 per hour.

His overtime rate is “Double time”.

What does he get paid for 4 hours overtime.

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4 hours Overtime is =

4 x £6 x 2 = £48.00

Created by Mr. Lafferty Maths Dept.

slide25

Overtime Pay

Example 2 :

John 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.

www.mathsrevision.com

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

slide26

Overtime Pay

Now try Ex 4.2

Ch 2 (page 31)

Even questions

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Created by Mr. Lafferty Maths Dept.

starter questions27
Starter Questions

Q1. Find the roots to 1 decimal place

Q2. A sofa is reduced by 20% to £300 in a sale.

Is the original price £360.

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Q3. Calculate

slide28

Commission

Learning Intention

Success Criteria

  • To explain how to work out wages when commission is involved.

1. Understand the term commission.

2. Calculate wages involving commission.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide29

Commission

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

www.mathsrevision.com

Write some people who get commission

Car sales person

Double glazing sales person

slide30

Commission

Example 1 :

Anthony does maths tuition and charges £12.50.

(a) How much does he earn in a week if he does 9 lesson.

(b) How much for a course of 20 lessons.

www.mathsrevision.com

(a)

12.50 x 9 = £112.50

(b)

12.50 x 20 = £250

slide31

Commission

Example 2 :

Sean sells cars. 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 ?

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Commission :

5 ÷ 100 x £20 000 = £ 1 000

slide32

Commission

Now try Ex 5.1

Ch 2 (page 32)

Odd questions

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Created by Mr. Lafferty Maths Dept.

starter questions33
Starter Questions

Q1. Find the roots to 1 decimal place

Q2. A house has increase by 10% to £77 000 in a year.

Find the price before the increase.

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Q3. Find the gradient and where the line y +4x – 3 =0

cuts the x-axis.

Q4. Calculate

slide34

Payslips

Learning Intention

Success Criteria

  • To explain how to work out NET pay.

1. Understand the terms Gross, Deductions and NET pay.

www.mathsrevision.com

2. Calculate NET pay.

Created by Mr. Lafferty Maths Dept.

slide35

Payslips

Write down some

Gross Pay : What you are paid by the employer.

Deductions : Taken off your wages.

Net Pay : Your take home pay.

Tax

www.mathsrevision.com

National Insurance

Pension

slide36

Payslips

Example 1 :

Calculate the Net wage for the following :

£12 150

www.mathsrevision.com

£10 120

£17 336

slide37

Payslips

Example 2 :

Calculate the Net wage for this payslip :

704.00

149.00

www.mathsrevision.com

555.00

slide38

Payslips

Example 3 :

Calculate the Net wage for this payslip :

739.15

207.76

www.mathsrevision.com

531.39

slide39

Payslips

Now try Ex 6.1

Ch 2 (page 33)

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions40
Starter Questions

Q1. Find the standard deviation for the data below

Q2. Solve the equation

www.mathsrevision.com

0 < x < 180

slide41

National Insurance

Contributions

Learning Intention

Success Criteria

  • To explain how to work out NET pay.

1. Understand the terms Gross, Deductions and NET pay.

www.mathsrevision.com

2. Calculate NET pay.

Created by Mr. Lafferty Maths Dept.

slide42

National Insurance

Contributions

This is a government tax on earnings intended to contribute towards .......... Do you know the rest !

unemployment

State Pension

www.mathsrevision.com

ill-health

slide43

National Insurance

Contributions

Rates for 2004 / 05

www.mathsrevision.com

slide44

National Insurance

Contributions

www.mathsrevision.com

Calculate how much Kylo will pay in NIC

if he earns £400 a week.

He has to pay NIC on

£400 - £91 = £309

£33.99

11% of £309

= 11 ÷ 100 x 309 =

slide45

National Insurance

Contributions

Charlotte earns £1000 a week.

How much NIC will she pay per week.

www.mathsrevision.com

She has to pay NIC on

£610 - £91 = £519 @ 11%

£1000 – £610 = £390 @ 1%

£60.99

(11 ÷ 100 x 519) + (1 ÷ 100 x 390) =

slide46

National Insurance

Contributions

Now try Ex 7.1

Ch 2 (page 35)

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions47
Starter Questions

Q1. Find the standard deviation for the data below

Q2. Solve the equation

www.mathsrevision.com

0 < x < 360

slide48

Income Tax

Learning Intention

Success Criteria

  • To explain how to work out Income Tax calculations.
  • Understand the term
  • Income Tax.

www.mathsrevision.com

2. Calculate Income Tax for a given salary.

Created by Mr. Lafferty Maths Dept.

slide49

Income Tax

If your income in a tax year is below a certain value you do not pay tax. The tax allowance is made up of a personal allowance plus other special allowances.

Special clothing

equipment

www.mathsrevision.com

Membership of professional bodies

slide50

Income Tax

Taxable Rates for 2004 / 05

www.mathsrevision.com

slide51

Income Tax

Calculate David’s income tax if he earns £27 000 a year.

Personal allowance £4745

Taxable Income £27 000 – £4745 = £22 255

www.mathsrevision.com

Tax @ 10% = 10% of £2020 = £202

Tax @ 22% = 22% of ( £22 255 - £2020)

= 22% of £20 235 = £4451.70

Total Income tax = £202 + £4451.70 =

£4653.70

slide52

Income Tax

Lauren, a successful business woman earns £70 000.

What is her total tax paid and her income after tax.

Personal allowance £4745

Taxable Income £70 000 – £4745 = £65 255

www.mathsrevision.com

Tax @ 10% = 10% of £2020 = £202

Tax @ 22% = 22% of ( £31 400 - £2020) = £6463.60

Tax @ 40% = 40% of ( £65 255 - £31 400) = £13 542

Total tax = £202 + £6463.60 + 13 542 =

£20 207.60

slide53

Income Tax

Total tax = £202 + £6463.60 + 13 542 =

£20 207.60

Income after tax = £70 000 - £20 207.60

www.mathsrevision.com

= £49 792.40

slide54

Income Tax

Now try Ex 8.1 & 8.2

Ch 2 (page 37)

Even Numbers Only

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions55
Starter Questions

Q1. Find the standard deviation for the data below

Q2. Find the

coordinates

where the line

and curve meet.

www.mathsrevision.com

slide56

Banks & Building Societies

Learning Intention

Success Criteria

  • To explain how bank accounts work.

1. Understand the main services from a bank account.

www.mathsrevision.com

2. Interpret bank statements.

Created by Mr. Lafferty Maths Dept.

slide57

Banks & Building Societies

Banks and Building Societies help us manage our money.

What might we get if we open an account at a bank ?

DR = overdrawn

www.mathsrevision.com

Cheque book

Credit Card

Cash Card

slide58

Banks & Building Societies

Copy and complete the bank statement

www.mathsrevision.com

61.03

33.46 DR

590.62

slide59

Banks & Building Societies

Now try Ex 9.1

Ch 2 (page 40)

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions60
Starter Questions
  • Q1. A line passes through the points ( 3, 8) and ( 5,10)
    • Find the gradient.
  • (b) Where does the line cross the x and y axis.

www.mathsrevision.com

Q2. Solve x - 2y = 10

2x + y = 20

slide61

Savings & Interest

Learning Intention

Success Criteria

  • To know the meaning of the term simple interest.
  • To understand the
  • term simple interest and compound interest.
  • To know the meaning of the term compound interest.

www.mathsrevision.com

3. Know the difference between simple and compound interest.

created by Mr. lafferty @ www.mathsrevision.com

slide62

Savings & Interest

Just working out percentages

Simple Interest

I have £400 in the Bank. At the end of each year

I receive 7% of £400 in interest. How much interest

do I receive after 3 years. How much do I now have?

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created by Mr. lafferty @ www.mathsrevision.com

slide63

Savings & Interest

Now try Ex 10.1

Ch2 (page 41)

www.mathsrevision.com

created by Mr. lafferty @ www.mathsrevision.com

starter questions64
Starter Questions

Q1. Find the standard deviation for the data below

Q2. Find the

coordinates

where the line

and curve meet.

www.mathsrevision.com

slide65

Compound Interest

Learning Intention

Success Criteria

  • To know when to use compound formula.
  • To show how to use the compound formula for appropriate problems.
  • Solve problems involving compound formula.

www.mathsrevision.com

created by Mr. lafferty @ www.mathsrevision.com

slide66

Interest calculated on new value every year

Example

Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the simply interest and then the compound interest after 3 years.

Compound Interest

Real life Interest is not a fixed quantity year after year. One year’s interest becomes part of the next year’s amount. Each year’s interest is calculated on the amount at the start of the year.

Principal value

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created by Mr. lafferty @ www.mathsrevision.com

slide67

Compound Interest

Interest calculated on new value every year

Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the compound interest and the amount he has in the bank after 3 years.

Simple Interest

Y1 : Interest = 7% of £400 = £28

Amount = £400 + £28 = £428

Interest = 7% of £400 = £28

Y 2 : Interest = 7% of £428 = £29.96

3 x 28 = £84

www.mathsrevision.com

Amount = £428 + £29.96 = £457.96

Y 3 : Interest = 7% of £457.96 = £32.06

Amount = £457.06 + £32.06 = £490.02

Simple Interest is only £84

Compound is £490.02 - £400 = £90.02

created by Mr. lafferty @ www.mathsrevision.com

slide68

Compound Interest

This is called the multiplier.

Easier Method

n = period of time

Days, months years

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I = initial value

IMPORTANT

Can only use this when percentage is fixed

± = increase or decrease

V = Value

created by Mr. lafferty @ www.mathsrevision.com

slide69

Compound Interest

Calculate the money in the bank after 3 years if the compound interest rate is 7% and the initial value is £400.

n = 3

I =400

www.mathsrevision.com

± = increase 1+0.07=1.07

V= 400 x (1.07)3= £490.02

created by Mr. lafferty @ www.mathsrevision.com

slide70

Compound Interest

Now try Ex 10.2

Ch2 (page 43)

www.mathsrevision.com

created by Mr. lafferty @ www.mathsrevision.com

starter questions71
Starter Questions

Q1. Solve the equations

Q2. Find the

coordinates

where the line

and curve meet.

www.mathsrevision.com

slide72

Appreciation & Depreciation

Learning Intention

Success Criteria

  • To know the terms appreciation and depreciation.
  • To understand the terms appreciation and depreciation.
  • Show appropriate working
  • when solving problems containing appreciation and depreciation.

www.mathsrevision.com

created by Mr. lafferty @ www.mathsrevision.com

slide73

Appreciation & Depreciation

Appreciation : Going up in value e.g. House value

www.mathsrevision.com

Depreciation : Going downin value e.g. car value

created by Mr. lafferty @ www.mathsrevision.com

slide74

Quicker Method

Easier

1.79 x 64995

= £116341.05

Average house price in Ayr has appreciated by 79% over past 10 years.

If you bought the house for £64995 in 1994 how much would the house be worth now ?

Appreciation = 79% x £ 64995

  • = 0.79 x £64995

= £ 51346.05

New value = Old Value + Appreciation

= £64995 + £51346.05

= £ 116341.05

Just working out percentages

created by Mr. lafferty @ www.mathsrevision.com

slide75
A Mini Cooper cost £14 625 in 2002

At the end 2003 it depreciated by 23%

At the end 2004 it will depreciate by a further 16%

What will the mini cooper worth at end 2004?

End 2003

Depreciation = 23% x £14625

= 0.23 x £14625

= £3363.75

New value = Old value - Depreciation

= £14625 - £3363.75

= £11261.25

Appreciation & Depreciation

www.mathsrevision.com

created by Mr. lafferty @ www.mathsrevision.com

slide76
End 2003

Depreciation = 23% x £14625

= 0.23 x £14625

= £3363.75

New value = Old value - Depreciation

= £14625 - £3363.75

= £11261.25

End 2004

Depreciation = 16% x £11261.25

= 0.16 x £11261.25

= £1801.80

New Value = £11261.25 - £1801.80

= £9459.45

Appreciation & Depreciation

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created by Mr. lafferty @ www.mathsrevision.com

slide77

Appreciation & Depreciation

Now try MIA Ex 11.1

Ch2 (page 45)

Odd Numbers

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created by Mr. lafferty @ www.mathsrevision.com

starter questions78
Starter Questions

Q1. Solve the equations

Q2. Solve the

coordinates

where the line

and curve meet.

www.mathsrevision.com

slide79

Work Backwards

Learning Intention

Success Criteria

  • To understand the process of work backwards.
  • To understand how to work backwards to find original price.
  • Solve problems using backwards process.

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created by Mr. lafferty @ www.mathsrevision.com

slide80

Deduce from question :

100 % + 10 % = £88 000

We have :

110 % = £88 000

1 % :

Price before is 100% :

£800 x 100 = £80 000

Work Backwards

Example 1

After a 10% increase the price of a house is £88 000.

What was the price before the increase.

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created by Mr. lafferty @ www.mathsrevision.com

slide81

Deduce from question :

100 % - 15 % = £2 550

We have :

85 % = £2 550

1 % :

Price before is 100% :

£30 x 100 = £3 000

Work Backwards

Example 2

The value of a car depreciated by 15%. It is now valued

at £2550. What was it’s original price.

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slide82

Work Backwards

Now try MIA Ex 11.2

Ch2 (page 46)

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