1-jun-14created by mr. lafferty maths dept. hourly rates / wages wages / hourly rates wages &...

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


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


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


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


£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


£10.50 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?



Now try Ex 1 aCh 6 (page 64)

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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



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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£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?



£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.


False !

National 4 NUM 1.2


Now try Ex 1 bCh 6 (page 66)

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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



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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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.


£30 000 ÷ 12 = £ 2 500Monthly wage:

Weekly wage : £30 000 ÷ 52 = £ 576.92

National 4 NUM 1.2


Now try Ex 2 aCh 6 (page 68)

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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



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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Annual Wage / Salary

How much a person is paid in a year.

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12 months in a year

52 weeks in a year

National 4 NUM 1.2


£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.



£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.



£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.


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


Now try Ex 2 bCh 6 (page 70)

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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



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


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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


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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.


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


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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.


4 ÷ 100 x £18 000 = £ 720Rise :

New salary :£18 000 + £720 = £ 18 720

National 4 NUM 1.2


Now try Ex 3Ch 6 (page 72)

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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



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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2.2. Calculate wages involving Calculate wages involving commission.commission.

National 4 NUM 1.2


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

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Write some people who get commission

Car sales person

Double glazing sales person

National 4 NUM 1.2


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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 ?


5 ÷ 100 x £20 000 = £ 1 000

Commission :

National 4 NUM 1.2


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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.


60 + 3 x 30 = 60 + 90 = £15060 + 3 x 30 = 60 + 90 = £150Paid :Paid :

National 4 NUM 1.2



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Q1. Find value of x when x + 4 = 16

Q3. Find 20 % of 150

Q2. Find two missing angles

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32o

National 4 NUM 1.2



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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2.2. Calculate wages with Calculate wages with overtime.overtime.

National 4 NUM 1.2


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 (x2)

Time and a half (x1.5)

National 4 NUM 1.2


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.



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.


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


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.


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



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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



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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2.2. Calculate NET pay.Calculate NET pay.

National 4 NUM 1.2


Gross Pay : What you are paid by the employer.

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TaxNational

Insurance

Deductions : Taken off your wages.

Net Pay : Your take home pay.

Write down some

Pension

National 4 NUM 1.2


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Example 1 : Calculate the Net wage for the following :


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


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 :


704.00149.00555.00

National 4 NUM 1.2


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 :


739.15207.76531.39

National 4 NUM 1.2



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Q1. Factorise 3x + 15

Q3. Find 5 % of 150

Q2. Find two missing angles

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32o

National 4 NUM 1.2



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

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Write some people who get commission

Car sales person

Double glazing sales person

National 4 NUM 1.2


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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 ?


15 ÷ 100 x £30 000 = £ 4500

Commission :

National 4 NUM 1.2


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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 ?


£6500 – £500 = £ 6000Value over £ :

7 ÷ 100 x £6 000 = £ 420Commission :

National 4 NUM 1.2


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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 ?


5 ÷ 100 x £4 000 = £ 200Commission :

£150 + £200 = £ 350Total wage :

National 4 NUM 1.2


Now try Extension Booklet

4E (page 25)

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1-jun-14created by mr. lafferty maths dept. hourly rates / wages wages / hourly rates wages &...

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