Functional Skills: Interest and Compound Interest

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Functional Skills: Interest and Compound Interest Revision

Interest and Compound Interest

Interest is something that you may see in questions involving money.

Make sure you are happy with the following topics before continuing.

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Question - How do I improve my chances of passing the level 2 maths exam?

Answer – Subject knowledge assessment. This useful tool identifies the key areas of the exam you will need to work on in order to pass your level 2 exam for the first time. 

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Interest

Interest is a percentage of some money that is then added on to the total amount of money. For example, when you put money in a savings account it generates interest.

For LEVEL 1 you will only deal with interest in multiples of 5\%, but for LEVEL 2 you will need to deal will all percentages.

Example: Youri puts \textcolor{orange}{£4800} into a savings account that pays \textcolor{blue}{5\%} interest per year. How much money does Youri have in his savings account after 1 year?

Calculate \textcolor{blue}{5\%} of \textcolor{orange}{£4800}: 0.05\times £4800 = £4800 \div 20 = £240

Add this on to £4800: £4800+£240=£5040

This could be done in one step: 1.05\times £4800=£5040

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Compound Interest

Compound interest is interest on money, which includes previous interest that has already been applied. For example, money saved in a bank account may earn interest every year (‘per annum’), so the following year’s interest will be calculated by taking into account the interest that was earned in the previous year.

Example: Tara takes out a loan of \textcolor{orange}{£700} from a loan company, who charge \textcolor{blue}{15\%} compound interest every month. Assuming Tara doesn’t pay back any of the loan, how much will she owe after 2 months?

After 1 month: 1.15\times £700=£805

After 2 months: 1.15 \times £805=£925.75

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Pass your level 2 maths exam on the first attempt!

Understanding what topics you need to revise is essential. Our subject knowledge assessment tests your knowledge on key topic areas and suggests what you need to revise. 

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Money in the Real World 

Many questions require you to work with money in real world contexts. For example, you may be asked to evaluate a person’s budget, which may come in the form of a table or a list. Furthermore, you may also be asked to calculate the amount of tax someone needs to pay or how much they have left after income tax.

Example: Lauren has just moved into a new house and his calculating how much money she can put into a savings account each month.

Her monthly income after tax is \textcolor{red}{£1700}. Using the table below, calculate how much she can put into a savings account each month.

Adding up all her monthly expenditures: £458+£130+£160+£110+£90+£180=\textcolor{orange}{£1128}

Subtracting this from her monthly income: £1700-£1128=\textcolor{orange}{£572}

So she can put \textcolor{orange}{£572} into her savings account each month.

 

Example: Jamie earns \textcolor{red}{£27500} a year before tax. He isn’t taxed taxed on the first \textcolor{blue}{£12500} he earns (personal allowance), and then pays \textcolor{limegreen}{20\%} tax on all income over £12500. How much will Jamie earn after tax in one year?

Taxable income: £27500-£12500=\textcolor{orange}{£15000}

Tax on taxable income: 0.2 \times £15000=\textcolor{orange}{£3000}

Amount earned after tax: £27500-£3000=\textcolor{orange}{£24500}

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Functional Skills: Interest and Compound Interest Example Questions

Calculate 10\% of £5600: 0.10\times £5600 = £5600 \div 10 = £560

Add this on to £5600: £5600+£560=£6160

Phil’s interest: £3900 \times 0.035=£136.50

Stacey’s interest: £4250 \times 0.028=£119

Difference: £136.50-£119=£17.50

So Phil will earn the most interest in one year, by £17.50

Company A:

After 2 months (no interest after 1 month): £900 \times 1.03=£927

After 3 months: £927\times1.03=£954.81

 

Company B:

After 1 month: £900 \times 1.022=£919.80

After 2 months: £919.80\times1.022=£940.04

After 3 months: £940.04 \times 1.022=£960.72

 

Therefore, Rose should go with Company A.

 

First calculate how much George earns each year after tax:

£23000-£12500=£10500

£10500 \times 0.2=£2100

£23000-£2100=£20900

 

Then calculate his monthly income after tax:

£20900 \div 12=£1741.67

Finally calculate the percentage of his monthly income he pays in rent:

\dfrac{650}{1741.67}\times100=37\% (rounded to the nearest whole number)

Additional Resources

PFS

Exam Tips Cheat Sheet

FS Level 2
PFS

Formula Booklet

FS Level 2

Functional Skills: Interest and Compound Interest Worksheet and Example Questions

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Interest L1

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Interest and Compound Interest L2

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