Wages

1
Wages Salaries
National 4 NUM 1.2
Hourly Rates / Wages
Wages / Hourly Rates
Weekly / Monthly Wages
Annual Salaries
Wage Rises
Commission Wages
www.mathsrevision.com
Overtime Pay
Gross - Deductions NET pay
Harder Commission
2
Starter Questions
National 4 NUM 1.2
www.mathsrevision.com
3
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria
1. Understand the terms wage and salary.

1. To explain how to calculate wages.

1. Calculate wage / salary given hourly rate.

www.mathsrevision.com
4
Salaries Overtime
National 4 NUM 1.2
Wages / Salary How much a person is paid to do
a job. Can be measured weekly, monthly
or annually.
www.mathsrevision.com
Hourly rate How much you get paid for an
hours work.
5
Salaries Overtime
National 4 NUM 1.2
Example 1 Sean the mechanic hourly rate of
pay is 6.50. Last week he worked 38 hours. What
is his basic pay?
www.mathsrevision.com
6.50 x 38 247.00
Pay is
6
Salaries Overtime
National 4 NUM 1.2
Example 2 Adam is a joiner his hourly rate of
pay is 10.50. He works 40 hours a week. What is
his basic pay?
www.mathsrevision.com
10.50 x 40 420.00
Pay is
7
Salaries Overtime
National 4 NUM 1.2
Now try Ex 1 a Ch 6 (page 64)
www.mathsrevision.com
8
Starter Questions
National 4 NUM 1.2
Q1. Find the value of y when 2y 6 24
Q2. Find the two missing angles
www.mathsrevision.com
Q3. Find two numbers that add give 10 and divide
to give 4.
9
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria
1. Understand the term hourly rate.

1. To explain how to work out hourly rates.

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

www.mathsrevision.com
10
Salaries Overtime
National 4 NUM 1.2
Example 1 Nathan the gardener is paid 200 a
week. He works 40 hours a week. What is his
hourly rate?
www.mathsrevision.com
200 40 5.00
Hourly rate is
11
Salaries Overtime
National 4 NUM 1.2
Example 2 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.
www.mathsrevision.com
153.60 32 4.80
Pay is
False !
12
Salaries Overtime
National 4 NUM 1.2
Now try Ex 1 b Ch 6 (page 66)
www.mathsrevision.com
13
Starter Questions
National 4 NUM 1.2
www.mathsrevision.com
14
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

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

1. Calculate weekly and monthly wages from annual
salary.
www.mathsrevision.com
15
Salaries Overtime
National 4 NUM 1.2
Example 1 Michael 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
30 000 52 576.92
Weekly wage
16
Salaries Overtime
National 4 NUM 1.2
Now try Ex 2 a Ch 6 (page 68)
www.mathsrevision.com
17
Starter Questions
National 4 NUM 1.2
www.mathsrevision.com
18
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria
1. Understand the term annual salary.

1. To explain how to work out annual salary / wage.

1. Calculate annual salary.

www.mathsrevision.com
19
Salaries Overtime
National 4 NUM 1.2
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
20
Salaries Overtime
National 4 NUM 1.2
Example 1 Georgia gets paid 1 500 in a
month. What is her annual Salary.
www.mathsrevision.com
1 500 x 12 18 000
Annual salary is
21
Salaries Overtime
National 4 NUM 1.2
Example 2 Caitlin is a shop assistant and
gets paid 239 a week. How much is her annual
salary.
www.mathsrevision.com
239 x 52 12 428
Annual Salary
22
Salaries Overtime
National 4 NUM 1.2
Example 3 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
1 100 x 12 13 200
Annual Salary
Mechanic
260 x 52 13 520
Annual Salary
Bus Driver
Bus driver has better annual wage
23
Salaries Overtime
National 4 NUM 1.2
Now try Ex 2 b Ch 6 (page 70)
www.mathsrevision.com
24
Starter Questions
National 4 NUM 1.2
www.mathsrevision.com
25
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

1. 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
26
How to find of a quantityusing a calculator
National 4 NUM 1.2
example
Find
Step 1 Convert to a decimal
of means x
Step 2
Step 3 Do sum
www.mathsrevision.com
Calculator Keys
27
Salaries Overtime
National 4 NUM 1.2
Example 2 Rachael earned an annual salary of
20 000 last year. She receives a 10 rise this
year. What is her new salary.
www.mathsrevision.com
Rise
10 100 x 20 000 2 000
New salary
20 000 2 000 22 000
28
Salaries Overtime
National 4 NUM 1.2
Example 3 Kerr 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
29
Salaries Overtime
National 4 NUM 1.2
Now try Ex 3 Ch 6 (page 72)
www.mathsrevision.com
30
Starter Questions
National 4 NUM 1.2
Q1. How much should I get if I work 30 hours
at a rate of 5 per hour.
Q2. Find the missing angle
33o
www.mathsrevision.com
Q3. Find 25 of 50
31
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

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

1. Understand the term commission.
2. Calculate wages involving commission.
www.mathsrevision.com
32
Salaries Overtime
National 4 NUM 1.2
Commission Money earned based on how much
you sell. Usual expressed as a percentage.
Write some people who get commission
www.mathsrevision.com
Car sales person
Double glazing sales person
33
Salaries Overtime
National 4 NUM 1.2
Example 1 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 ?
www.mathsrevision.com
Commission
5 100 x 20 000 1 000
34
Salaries Overtime
National 4 NUM 1.2
Example 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.
www.mathsrevision.com
60 3 x 30 60 90 150
Paid
35
Salaries Overtime
National 4 NUM 1.2
Now try Ex 4 Ch 6 (page 74)
www.mathsrevision.com
36
Starter Questions
National 4 NUM 1.2
Q1. Find value of x when x 4 16
Q2. Find two missing angles
www.mathsrevision.com
32o
Q3. Find 20 of 150
37
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

1. 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.
38
Salaries Overtime
National 4 NUM 1.2
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)
39
Salaries Overtime
National 4 NUM 1.2
Example 1 Sean the painter works for 6.00
per hour. His overtime rate is Double time.
What does he get paid for 4 hours overtime.
www.mathsrevision.com
4 x 2 x 6 48.00
4 hours Overtime is
40
Salaries Overtime
National 4 NUM 1.2
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.
www.mathsrevision.com
5 x 8 x 2 80.00
5 hours overtime is
40 x 8 320.00
40 hours basic time is
Total pay is 320 80 400
41
Salaries Overtime
National 4 NUM 1.2
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.
www.mathsrevision.com
4 x 6 x 1.5 36.00
4 hours overtime is
30 x 6 180.00
30 hours basic time is
Total pay is 36 180 216.00
42
Salaries Overtime
National 4 NUM 1.2
Now try Ex 5 Ch 6 (page 76)
www.mathsrevision.com
43
Starter Questions
National 4 NUM 1.2

• Two numbers add to give 12 and 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.

www.mathsrevision.com
44
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

1. To explain how to work out NET pay.

1. Understand the terms Gross, Deductions and NET
pay.
www.mathsrevision.com
2. Calculate NET pay.
45
Salaries Overtime
Write down some
National 4 NUM 1.2
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
46
Salaries Overtime
National 4 NUM 1.2
Example 1 Calculate the Net wage for the
following
Gross Deductions Net Wage
15 550 3 400
13 025 2 905
22 430 5 094
12 150
www.mathsrevision.com
10 120
17 336
47
Salaries Overtime
National 4 NUM 1.2
Example 2 Calculate the Net wage for this
payslip
704.00
149.00
www.mathsrevision.com
555.00
48
Salaries Overtime
National 4 NUM 1.2
Example 3 Calculate the Net wage for this
payslip
739.15
207.76
www.mathsrevision.com
531.39
49
Salaries Overtime
National 4 NUM 1.2
Now try Ex 6 Ch 6 (page 80)
www.mathsrevision.com
50
Starter Questions
National 4 NUM 1.2
Q1. Factorise 3x 15
Q2. Find two missing angles
www.mathsrevision.com
32o
Q3. Find 5 of 150
51
Wages Salaries
National 4 NUM 1.2
Learning Intention
Success Criteria

1. To explain how to work out harder commission
   problems.

1. Be able to calculate harder commission
problems.
www.mathsrevision.com
52
Salaries Overtime
National 4 NUM 1.2
Commission Money earned based on how much
you sell. Usual expressed as a percentage.
Write some people who get commission
www.mathsrevision.com
Car sales person
Double glazing sales person
53
Salaries Overtime
National 4 NUM 1.2
Example 1 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 ?
www.mathsrevision.com
Commission
15 100 x 30 000 4500
54
Salaries Overtime
National 4 NUM 1.2
Example 2 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 ?
www.mathsrevision.com
Value over
6500 500 6000
Commission
7 100 x 6 000 420
55
Salaries Overtime
National 4 NUM 1.2
Example 3 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 ?
www.mathsrevision.com
Commission
5 100 x 4 000 200
Total wage
150 200 350
56
Salaries Overtime
National 4 NUM 1.2
Now try Extension Booklet 4E (page 25)
www.mathsrevision.com