10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Hourly Rates / WagesWages / Hourly Rates
Wages & Wages & SalariesSalaries
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Weekly / Monthly WagesAnnual SalariesWage Rises
Commission WagesOvertime PayGross - Deductions = NET pay
National 4 NUM 1.2
Harder Commission
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Round the following to 1 decimals places.
(a) 24.44647 (b) 21.66732 (c) 13.98111
12. How many degrees in a of a circle
10
3. Put in order, smallest first.
0.02, 0.21, 0.20, 0.10
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National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the terms wage Understand the terms wage and salary. and salary.
1. To explain how to calculate wages.
2.2. Calculate wage / salary Calculate wage / salary given hourly rate.given hourly rate.
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Wages & SalariesWages & SalariesNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Wages / Salary : How much a person is paid to do a job.Can be measured weekly, monthly orannually.
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Salaries & OvertimeSalaries & Overtime
Hourly rate : How much you get paid for an hours work.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£6.50 x 38 = £247.00Pay is =
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Sean the mechanic hourly rate of pay is £6.50.Last week he worked 38 hours. What is his basic pay?
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£10.50 x 40 = £420.00Pay is =
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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?
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 1 aCh 6 (page 64)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Find the value of y when 2y + 6 = 24
Q2. Find the two missing angles
Q3. Find two numbers that add give 10 anddivide to give 4.
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National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the term hourly Understand the term hourly rate. rate.
1. To explain how to work out hourly rates.
2.2. Calculate hourly rates given Calculate hourly rates given the wage and hours worked.the wage and hours worked.
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Wages & SalariesWages & SalariesNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£200 ÷ 40 = £5.00Hourly rate is =
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Nathan the gardener is paid £ 200 a week. He works 40 hours a week. What is his hourly rate?
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£153.60 ÷ 32 = £4.80Pay is =
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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.
Salaries & OvertimeSalaries & Overtime
False !
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 1 bCh 6 (page 66)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 30% of 60
3. What is the perimeter and area
of a square with length 10cm.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out weekly and monthly wages from annual salary.
1.1. Calculate weekly and Calculate weekly and monthly wages from annual monthly wages from annual salary.salary.
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Wages & SalariesWages & SalariesNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Michael gets an annual salary of £ 30 000. What is his monthly wage.What is his weekly wage.
Salaries & OvertimeSalaries & Overtime
£30 000 ÷ 12 = £ 2 500Monthly wage:
Weekly wage : £30 000 ÷ 52 = £ 576.92
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 2 aCh 6 (page 68)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate 15% of 60
3. What is the perimeter and area
of a square with length 4cm.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the term annual Understand the term annual salary. salary.
1. To explain how to work out annual salary / wage.
2.2. Calculate annual salary.Calculate annual salary.
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Wages & SalariesWages & SalariesNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Annual Wage / Salary
How much a person is paid in a year.
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Salaries & OvertimeSalaries & Overtime
12 months in a year
52 weeks in a year
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£1 500 x 12 = £ 18 000Annual salary is =
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Georgia gets paid £ 1 500 in a month. What is her annual Salary.
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£239 x 52 = £ 12 428Annual Salary =
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Caitlin is a shop assistant and gets paid £239 a week. How much is her annual salary.
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
£1 100 x 12 = £ 13 £1 100 x 12 = £ 13 200200
Annual Salary = Annual Salary =
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Example 3 :
A mechanic gets paid £1 100 a month. A bus driver gets paid £260 a week.
Who gets the better annual salary.
Salaries & OvertimeSalaries & Overtime
Mechanic :Mechanic :
Bus Driver :Bus Driver : £260 x 52 = £ 13 520£260 x 52 = £ 13 520Annual Salary = Annual Salary =
Bus driver has better annual wage
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 2 bCh 6 (page 70)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Round the following to 2 decimals places.
(a) 3.5647 (b) 4.55732 (c) 3.98111
12. How many degrees in an of a circle
8
3. Put in order, smallest first.
0.05, 0.21, 0.01, 0.026
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National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out new wages after a wage rise.
1.1. Calculate a percentage rise.Calculate a percentage rise.
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Wages & SalariesWages & Salaries
2.2. Calculate new wages after a Calculate new wages after a percentage rise.percentage rise.
National 4 NUM 1.2
How to find % of a quantityHow to find % of a quantityusing a calculatorusing a calculator
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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example
4 of 480% £
0 04 of 480. £
Step 1 : Convert % to a decimal
of means x0 04 480. £
Step 3 : Do sum
40 04
100 .
0 04 480 19 20. £ £ .
Calculator Keys
4 1 x 4 = 19.20 0 8 0
Step 2 :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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.
Salaries & OvertimeSalaries & Overtime
10 10 ÷ ÷ 100 x £20 000 = £ 2 000100 x £20 000 = £ 2 000Rise :Rise :
New salary :New salary : £20 000 + £2 000 = £ 22 £20 000 + £2 000 = £ 22 000000
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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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.
Salaries & OvertimeSalaries & Overtime
4 ÷ 100 x £18 000 = £ 720Rise :
New salary :£18 000 + £720 = £ 18 720
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 3Ch 6 (page 72)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. How much should I get if I work30 hours at a rate of £5 per hour.
Q3. Find 25% of 50
Q2. Find the missing angle
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33o
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out wages when commission is involved.
1.1. Understand the term Understand the term commission.commission.
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Wages & SalariesWages & Salaries
2.2. Calculate wages involving Calculate wages involving commission.commission.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Commission : Money earned based on how much you sell. Usual expressed as a percentage.
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Salaries & OvertimeSalaries & Overtime
Write some people who get commission
Car sales person
Double glazing sales person
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Bob sells car. He is paid a commission of 5% on any carshe sells. Last week he sold £ 20 000 worth of cars. How much commission was he paid ?
Salaries & OvertimeSalaries & Overtime
5 ÷ 100 x £20 000 = £ 1 000
Commission :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.comExample 2 :
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.
Salaries & OvertimeSalaries & Overtime
60 + 3 x 30 = 60 + 90 = £15060 + 3 x 30 = 60 + 90 = £150Paid :Paid :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 4Ch 6 (page 74)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Find value of x when x + 4 = 16
Q3. Find 20 % of 150
Q2. Find two missing angles
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National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out wages which include overtime rates.
1.1. Understand the terms Understand the terms overtime, ‘double time’ and overtime, ‘double time’ and ‘time and a half’.‘time and a half’.
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Wages & SalariesWages & Salaries
2.2. Calculate wages with Calculate wages with overtime.overtime.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Overtime : When you do extra work above your basic hours.
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Salaries & OvertimeSalaries & Overtime
You get a better hourly rate for overtime.
Write down the two common rates of overtime
Double time (x2)
Time and a half (x1.5)
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
4 x 2 x £6 = £48.004 hours Overtime is =
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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.
Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
5 x £8 x 2 = £80.005 x £8 x 2 = £80.005 hours overtime is = 5 hours overtime is =
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Example 2 : 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.
Salaries & OvertimeSalaries & Overtime
40 x £8 = £320.0040 x £8 = £320.0040 hours basic time is 40 hours basic time is = =
Total pay is = £320 + £80 = £400Total pay is = £320 + £80 = £400
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
4 x £6 x 1.5 = £36.004 x £6 x 1.5 = £36.004 hours overtime is = 4 hours overtime is =
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Example 3 : 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.
Salaries & OvertimeSalaries & Overtime
30 x £6 = £180.0030 x £6 = £180.0030 hours basic time is 30 hours basic time is = =
Total pay is = £36 + £180 = £216.00Total pay is = £36 + £180 = £216.00
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 5Ch 6 (page 76)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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divide 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.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out NET pay.
1.1. Understand the terms Gross, Understand the terms Gross, Deductions and NET pay.Deductions and NET pay.
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Wages & SalariesWages & Salaries
2.2. Calculate NET pay.Calculate NET pay.
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Gross Pay : What you are paid by the employer.
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Salaries & OvertimeSalaries & Overtime
TaxNational
Insurance
Deductions : Taken off your wages.
Net Pay : Your take home pay.
Write down some
Pension
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Example 1 : Calculate the Net wage for the following :
Salaries & OvertimeSalaries & Overtime
GrossGross DeductionDeductionss
Net WageNet Wage
£15 550£15 550 £3 400£3 400
£13 025£13 025 £2 905£2 905
£22 430£22 430 £5 094£5 094
£12 150
£10 120
£17 336
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
I ncome Basic £650.00 O/T £54.00 Bonus - Total
Deductions Tax £102.00 Nat Ins. £25.00 Pension £22.00 Total
NET PAY
Name : Bill Smith
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Example 2 : Calculate the Net wage for this payslip :
Salaries & OvertimeSalaries & Overtime
704.00149.00555.00
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
I ncome Basic £603.65 O/T £85.50 Bonus £50.00 Total
Deductions Tax £142.75 Nat Ins. £30.72 Pension £34.29 Total
NET PAY
Name : J oe Bloggs
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Example 3 : Calculate the Net wage for this payslip :
Salaries & OvertimeSalaries & Overtime
739.15207.76531.39
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 6Ch 6 (page 80)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
Q1. Factorise 3x + 15
Q3. Find 5 % of 150
Q2. Find two missing angles
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National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain how to work out harder commission problems.
1.1. Be able to calculate harder Be able to calculate harder commission problems.commission problems.
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Wages & SalariesWages & SalariesNational 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Commission : Money earned based on how much you sell. Usual expressed as a percentage.
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Salaries & OvertimeSalaries & Overtime
Write some people who get commission
Car sales person
Double glazing sales person
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Liam sells double glazing. 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 ?
Salaries & OvertimeSalaries & Overtime
15 ÷ 100 x £30 000 = £ 4500
Commission :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Caitlin is a door to door cosmetic saleswoman. She gets 7% commission on everything over £500 she sells. During the Christmas period she sold £6500Worth of products. How much commission was she paid ?
Salaries & OvertimeSalaries & Overtime
£6500 – £500 = £ 6000Value over £ :
7 ÷ 100 x £6 000 = £ 420Commission :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Lewis gets a basic salary of £150 a week plus 5% ofthe total value of doors he sells. He sold £4000 worth of doors last week.How much did he earn last week ?
Salaries & OvertimeSalaries & Overtime
5 ÷ 100 x £4 000 = £ 200Commission :
£150 + £200 = £ 350Total wage :
National 4 NUM 1.2
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Extension Booklet
4E (page 25)
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Salaries & OvertimeSalaries & OvertimeNational 4 NUM 1.2