Income Tax, National Insurance & VAT (AQA Level 3 Mathematical Studies (Core Maths))

Revision Note

Jamie Wood

Written by: Jamie Wood

Reviewed by: Dan Finlay

Income Tax

What is income tax?

  • Income tax is a tax paid on money earned from employment

    • It is also paid on profits earned by people who are self-employed

  • There are other types of income that are also subject to income tax

    • This includes pensions, rental income, and interest on savings above a person's allowance

  • Employers deduct income tax from employees before paying them

    • The details of this will be shown on employees' payslips

    • The system of paying income tax (and national insurance) automatically from your salary or wages is known as PAYE; pay as you earn

  • Those who are self-employed must complete a self-assessment tax return every year

    • Self-employed people pay income tax on profits only, rather than total income

  • Income tax is collected by HMRC on behalf of the government

  • The UK tax year is different to the calendar year, it runs from April 6th to the following April 5th

  • It is used to pay for services funded by the government

    • E.g. schools, emergency services, roads, healthcare and the welfare system

How is income tax calculated?

  • Most people in the UK have a personal allowance

    • This is the amount of income you can earn before paying income tax

    • The current personal allowance (2023-2024) is £12 570

    • For those who earn over £100 000, the personal allowance is reduced by £1 for every £2 earned over £100 000

      • Therefore those who earn over £125 140 have £0 personal allowance

    • There are other reasons an individual's personal allowance may be different

      • E.g. Those who are blind have a higher personal allowance

      • Marriage tax allowance allows a portion of one partner's personal allowance to be transferred to the other partner

  • Anything earned above the personal allowance is subject to income tax

  • There are three marginal income tax bands

    • Marginal income tax bands mean you only pay the given tax rate on that portion of salary

    • E.g. If you earn £10 over the personal allowance, you only pay income tax on that £10

  • The table below shows income tax bands in the UK for the year 2023-2024

    • The bands and rates are controlled by the government, so may change year to year

Income tax band

Income tax rate

£0 to personal allowance

(Usually £12 570)

0%

Personal allowance to £37 700

Known as basic rate

20%

£37 701 to £125 140

Known as higher rate

40%

Over £125 140

Known as additional rate

45%

Worked Example

Izzy earns £40 000 per year and has a personal allowance of £12 570. Calculate the amount of income tax Izzy pays per year.

The first £12 570 of Izzy's income is within her personal allowance
She therefore pays no tax on this

The amount between £12 570 and £37 700 is taxed at 20%
Izzy earns over £37 700, so uses the whole of this tax band

£37 700 - £12 570 = £25 130 taxed at 20%
20% of £25 130 = £5026 income tax

The amount between £37 700 and £125 140 is taxed at 40%
Calculate how much of Izzy's earnings are in this bracket

£40 000 - £37 700 = £2300 taxed at 40%
40% of £2300 = £920 income tax

Find the total amount of income tax paid

£5026 + £920 = £5946

£5946

Examiner Tips and Tricks

  • You don't need to remember the tax bands for the exam!

  • You just need to be comfortable calculating with marginal tax rates

  • Current income tax and national insurance bands will be given in the preliminary material

National Insurance

What is national insurance?

  • National Insurance (NI) is another tax on income

    • It is often referred to as national insurance contributions

  • It is used to pay for state pensions and other workers' benefits

    • E.g. Statutory sick pay and maternity leave

  • Employers deduct national insurance from employees through the PAYE system

    • The details of this will be shown on employees' payslips

    • This is then paid to HMRC

  • Employers themselves also have to pay a contribution to national insurance

  • Those who are self-employed must pay national insurance

    • This is calculated as part of their yearly tax return process

    • Self-employed people only pay national insurance on profit, rather than total income

  • There are four types, or classes, of national insurance

    • These are summarised in the table below

National insurance class

Purpose

Class 1

Payable by employees and employers

Class 2

Flat rate payable by self employed

Class 3

Voluntary contributions for benefit purposes

Class 4

Payable on profits by self-employed

How is national insurance calculated?

  • Similar to income tax, there are marginal tax bands and there is a band where no national insurance is payable

    • Marginal tax bands mean you only pay the given tax rate on that portion of salary

    • E.g. If you earn £10 over the threshold for paying 10% NI, you only pay 10% of that £10

  • The table below shows class 1 national insurance bands for income in the UK from 6th January 2024 to 5th April 2024

    • The bands and rates are controlled by the government, so may change year to year

National insurance band (weekly)

National insurance band (monthly)

National insurance rate

£0 to £242

£0 to £1048

0%

£242 to £967

£1048 to £4189

10%

Over £967

Over £4189

2%

Worked Example

Theo earns £2400 per month. Calculate the amount of class 1 national insurance Theo pays per month.

The first £1048 of Theo's monthly income is in the 0% national insurance band
He therefore pays no tax on this

The amount between £1048 and £4189 is taxed at 10%
Calculate how much of Theo's monthly earnings are in this bracket

£2400 - £1048 = £1352 taxed at 10%
10% of £1352 = £135.20 national insurance

Theo earns £2400 per month, so none of his monthly earnings fall into the 2% bracket (this is only for over £4189 per month)

£135.20

Examiner Tips and Tricks

  • You don't need to remember the income bands for the exam!

  • You just need to be comfortable calculating with marginal tax rates

  • Current income tax and national insurance bands will be given in the preliminary material

VAT (Value Added Tax)

What is VAT?

  • VAT stands for Value Added Tax

  • VAT is a tax added to the price of most products and services sold by businesses

  • The standard rate of VAT is 20%

  • To calculate the price after VAT is added,

    • multiply the price before VAT by 1.2

  • To calculate the price before VAT was added,

    • divide the price after VAT by 1.2

  • Some examples of products which do not have VAT added (zero-rated) include:

    • Many types of food and drink

    • Children's clothes

    • Items sold in charity shops

    • Many types of health supplies and services

  • There are also some items which are subject to a lower 5% VAT

    • Some examples include:

      • Electricity and gas for residential use

      • Children's car seats

  • The rates of VAT, and products and services it is charged on, are controlled by the government

    • These will occasionally change depending on the government's priorities

    • E.g. In January 2011 the standard rate of VAT increased from 17.5% to 20%

Who pays VAT?

  • VAT is ultimately paid by the end consumer

  • However, VAT is handled by businesses in the supply chain, and paid to HMRC by the businesses

    • Only businesses that are VAT-registered do this, which tends to be larger businesses

      • The threshold at which businesses have to pay VAT is currently £90,000 in turnover (2024)

  • Consider a consumer buying a garden bench from a furniture manufacturer

    • At the start of the supply chain a national wood merchant sells the furniture manufacturer some wood for £100, but charges £120 including VAT

      • £100 × 1.2 = £120

    • The furniture manufacturer then makes the bench and sells it to the consumer for £300, but charges £360 including VAT

      • £300 × 1.2 = £360

    • The consumer pays the furniture manufacturer £360

  • For the businesses involved in this example:

    • The national wood merchant has charged £20 VAT, so pays £20 to HMRC

    • The furniture manufacturer has paid £20 VAT, and charged £60 VAT, so pays £40 to HMRC

      • The furniture manufacturer only pays the difference between the VAT they have paid and charged, otherwise some VAT would be paid twice

    • The consumer has paid £60 VAT, but does not need to send this to HMRC, as the businesses in the chain have done this already

Worked Example

Sarah is a car mechanic who runs her own garage.

The parts to service a customer's car were bought from her supplier for £151.20 including 20% VAT.

(a) Find the price of the parts before VAT was added.

When VAT is added, it is an increase of 20% (a multiplier of 1.2)

Price without VAT × 1.2 = £151.20

To find the price before VAT, divide by 1.2

Price without VAT = £151.20 ÷ 1.2 = £126.00

£126.00

Sarah then adds on the cost for labour and a small profit margin.
She calculates this to be £296.20 before 20% VAT.

(b) Calculate the total price charged by Sarah to the customer.

20% VAT needs to be added to £292.20
Use a multiplier of 1.2

1.2 × £296.20 = £355.44

£355.44

Examiner Tips and Tricks

  • In the exam, the current UK VAT rate will be used, and will be given in the question

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Jamie Wood

Author: Jamie Wood

Expertise: Maths

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.

Dan Finlay

Author: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.