Mathematical
Literacy
NQF 2
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Maths Lit NQF Level 2
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Mathematical Literacy Level 2 Module 9
Level 2 Mathematical Literacy study guide, 37 pages. Read online or get the free PDF download.
Subject: Mathematical LiteracyMultiple grades37 pages
Mathematical Literacy. Study guide, 37 pages. Read online or download the PDF.
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Managing your finances
with confidence
Module 9
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Maths Lit NQF Level 2
Overview
9.1 Income
9.2 Expenses
9.3 Saving money and budgeting
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Maths Lit NQF Level 2
Income
Unit 9.1
• Income describes all the money that you receive from all income
sources.
• Income is classified into 3 types:
Fixed Income Variable Income Occasional Income
• The difference between the types of income is based on when it is paid
to the worker or employee.
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Maths Lit NQF Level 2
Fixed Income
Unit 9.1
Description
This is income that is received regularly and is usually the same value.
”
• Salary – paid monthly
• Wages – paid weekly or fortnightly
• Rental income – renting out property or space
• UIF payments
• Welfare and government grants
• Child support or maintenance
• Pensions and annuities
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Variable Income
Unit 9.1
Description
This is income that is received regularly but is not of a constant value.
It is dependent on the task that has been completed and is often
dependent upon hours worked or units of production.
• Commission – usually determined by a % of sales in a month
”
• Profit – can be paid from a business
• Interest earned – dependent on the investment period (days of the
month)
• Tips and gratuities – received by waitrons and service providers
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Occasional Income
Unit 9.1
Description
This is income that is not received regularly and is not of a constant
value i.e. it is received as and when, or as a once off occurrence.
• Gifts – birthday or wedding gifts ”
• Inheritance – money from a deceased relative or an acquaintance
• Retrenchment packages – money received from an ex-employer
• Unexpected bonuses - usually from an employer
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Example 9.1 page 167
Unit 9.1
Anyeso works at a supermarket and is paid on an hourly
basis. She receives maintenance for her child and she also
bakes cakes to sell.
Source of income December January
Wages after deductions R5 722 R3 654
Profit from baking and selling cakes R650 R120
Child support maintenance R800 R800
Christmas gift R200
Profit from selling a table she did not need R350
Total income A B
a) Calculate Anyeso’s total income for December and
January, labelled A and B.
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Example 9.1 page 167 continued ...
Unit 9.1
Source of income December January
Wages after deductions R5 722 R3 654
Profit from baking and selling cakes R650 R120
Child support maintenance R800 R800
Christmas gift R200
Profit from selling a table she did not need R350
Total income A B
b) Write down:
i) the fixed sources of income
ii) the variable sources of income
iii) the occasional sources of income.
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Example 9.1 page 167 continued ...
Unit 9.1
a) A: R7 372
B: R4 924
b) i) Child support maintenance
ii) Wages after deductions, profit from baking and
selling cakes
iii) Christmas gift, profit from selling a table
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Maths Lit NQF Level 2
Exercise 9.1
Unit 9.1
Complete Exercise 9.1 on page 168 of your Student’s Book
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Maths Lit NQF Level 2
Expenses
Unit 9.2
• Expenses are the way that we spend our money
• Expenses are classified into three types:
Fixed Expenses Variable Expenses Occasional Expenses
• These can be divided further into essential and non-essential expenses.
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Expenses continued ...
Unit 9.2
Expenses can be classified by their purpose as essential or non-essential:
Essential expenses Non-essential expenses
• household and living • entertainment
expenses • vacations
• loan repayments and taxes • luxury goods
• school fees, bank charges
and other fees.
Note that essential expenses (needs) and non-essential expenses (wants)
are different for different people.
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Fixed Expenses
Unit 9.2
Description
These can be essential expenses providing for our basic needs, or
other compulsory expenses, depending on our sources of income.
Examples include:
”
• household expenses – rent/bond, water & electricity, security, etc
• living expenses – food, clothing which is paid monthly
• taxes and insurance
• repayments of debt (loans, clothing accounts)
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Variable Expenses
Unit 9.2
Description
These are expenses that can be for basic needs, but can also include
every
non-essentials that vary in cost . month
Examples include:
”
• clothing and personal grooming items
• cellphone charges not included in monthly subscriptions
• entertainment costs
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Occasional Expenses
Unit 9.2
Description
These are expenses that do not occur on a regular basis and are also
not for any fixed amount.
Examples include:
”
• motor vehicle maintenance and tyres
• doctors' accounts
• birthday presents
• school stationery
• unexpected travel
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Example 9.2 page 169
Unit 9.2
Jack has been working at a supermarket over weekends
for the past three weeks. His expenses since starting his
job are:
• R99 per week on airtime and data
• Taxi fare – R18 per trip to work. He has worked on
Saturdays and Sundays
• R85 on toiletries
• R324 on movies and a burger with his girlfriend
• R199 for a new sweater
• R78 on snacks and luxuries
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Maths Lit NQF Level 2
Example 9.2 page 169 continued ...
Unit 9.2
a) Write down all Jack’s fixed expenses. Give a reason for
your answer.
b) Write down his variable expenses. Give a reason for
your answer.
c) Explain why buying a sweater is an occasional expense.
d) Explain the difference between essential and non-
essential expenses.
e) Which of Jack’s expenses are non-essential? Give a
reason for each one.
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Maths Lit NQF Level 2
Example 9.2 page 169 continued ...
Unit 9.2
a) Taxi fare. If Jack works two days over the weekend, his
taxi fare will cost the same every week.
b) Airtime and data, toiletries, snacks and luxuries. He
will buy these every week, but won’t spend exactly the
same amount on each one every week.
c) He will not buy a sweater every week.
d) Essential expenses refer to money spent on things you
need to survive. Non-essential expenses refer to money
spent on things you want, but if you don’t have them,
you can still manage without them
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Example 9.2 page 169 continued ...
Unit 9.2
e) Taking his girlfriend to movies and a burger – he could
have taken his girlfriend somewhere where he did not
have to spend money. An example would be a walk on
the beach. Buying a sweater – he could have worn his
old sweater. Luxuries and snacks – these are nice to
have, but you will not starve if you don’t have them.
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Exercise 9.2
Unit 9.2
Complete Exercise 9.2 on page 171 of your Student’s Book
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Maths Lit NQF Level 2
Saving money and budgeting
Unit 9.3
Make a plan to save money that is linked to your income received and your
expenses.
A plan that shows how much income you get and how much you plan to
spend is called a budget.
To make a budget that works, we first need to understand saving and
budgeting.
Saving Budgeting
making your money grow the way you spend your money
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Saving
Unit 9.3
This is a skill that everybody needs to learn. Good financial managers
know:
• how much income they receive
• how much expenses they pay out
• how to design and implement a good savings plan for their future
needs.
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Maths Lit NQF Level 2
Interest
Unit 9.3
Interest is money that is payable in two ways:
• When we borrow money from a bank or other financial institution, we
pay interest to the institution.
• When we make an investment, we are lending our money to the
institution. It pays us interest on the money.
The money paid or received is called interest and it can be calculated as
simple interest or as compound interest, depending on the loan or
investment.
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Interest continued ...
Unit 9.3
Principal Sum
The amount of money you borrowed or invested is called the
principal sum. Interest is calculated on the principal sum.
”
Simple interest is calculated on the principal amount and the
amount of interest is the same for each time interval.
Simple Interest
Interest
Compound
Compound interest is calculated on both the principal and
Interest the previous interest added (or deducted), so the amount is
different for each time interval.
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Example 9.4 page 174
Unit 9.3
John invested R5 000 in a bank account for 5 years at an
interest rate of 7,5% per year. He checked his interest
income every year.
a) Calculate the interest he earned in Year 1.
b) Calculate the interest earned in Year 3. Show all your
calculations.
c) Explain why John earned more interest in Year 3 than
he did in Year 1.
d) What was the rate of interest earned?
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Maths Lit NQF Level 2
Example 9.4 page 174 continued ...
Unit 9.3
e) Would John earn more or less money if the interest
rate was 6,75%?
f) For some people, a lower interest rate is an
advantage. For others it is a disadvantage. Do you
agree? Explain.
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Maths Lit NQF Level 2
Example 9.4 page 174 continued ...
Unit 9.3
a) Interest in Year 1 = 7,5% × R5 000 = R375
b) Interest in Year 2 = 7,5% × R5 375 = R403,13
Interest in Year 3 = 7,5% × R5 778,13 = R433,36
c) The previous interest was added to the principal sum
in Year 1 and Year 2. Therefore, interest was calculated
on a greater principal sum.
d) 7,5% per year.
e) He would earn less interest.
f) It is an advantage if you are paying off a loan, because
then the amount of interest you have to pay, is less.
It is a disadvantage if you have an investment, because
then the amount of interest you earn is less.
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Maths Lit NQF Level 2
Budgeting
Unit 9.3
A good budget must be:
accurate: reflect the actual income and expenses
realistic: not include fictitious income or expenses
detailed: include the details of who receives the money
balanced: income and expenditure must be equal
adaptable: if circumstances should change, it should be
easy to make adjustments.
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Example 9.5 page 175
Unit 9.3
Mrs Jacobs is a divorced mother of three children and
earns a nett salary of R14 260 per month after deductions.
The children’s father regularly pays child support
maintenance. Mrs Jacobs’s budget shows her monthly
income and expenses.
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Example 9.5 page 175 continued ...
Unit 9.3
Monthly income Monthly expenses
Gross salary (salary before deductions) R16 650 Taxes A
Child support maintenance R2 700 Rent R3 250
Electricity R1 400
Transport R850
Car repayment R1 945
Clothing account R260
Furniture store account R345
School fees R360
Airtime R800
Internet contract R500
Children’s pocket money R300
Entertainment R600
Emergencies and unplanned expenses R500
Household insurance R230
Education policy R300
Total B
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Example 9.5 page 175 continued ...
Unit 9.3
a) Calculate:
i) Mrs Jacobs’s monthly tax payment (A)
ii) Her monthly income
iii) Her total expenses (B).
b) List two fixed expenses. Give a reason why you say
these are fixed expenses.
c) List two variable expenses. Give a reason why you say
these are variable expenses.
d) How would you describe emergencies and unplanned
expenses?
e) Give one example of an unplanned expense that Mrs
Jacobs could have.
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Projected and actual expenses
Unit 9.3
When drawing up a budget we usually consult the actual expenses from
the previous budget period
i.e. if we spent R950,00 on electricity last month, we can either budget
(project) for the next month for it to:
• remain constant at R950,00 or
• we could project that it will increase to R1 000,00.
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Maths Lit NQF Level 2
Example 9.8 page 178
Unit 9.3
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Maths Lit NQF Level 2
Exercise 9.3
Unit 9.3
Complete Exercise 9.3 on page 180 of your Student’s Book
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Module assessment
Module 9
Complete Module assessment on page 187 of your Student’s Book
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