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ScotlandApplications of MathematicsSyllabus dot point

How do you analyse and interpret the factors affecting income, working out gross and net pay from overtime, income tax, National Insurance and other deductions?

Analysing and interpreting factors affecting income, including calculating gross pay from a wage and overtime, and working out net pay after deductions such as income tax, National Insurance and pension contributions.

A focused answer to the SQA National 5 Applications of Mathematics finance content on income, covering calculating gross pay from an hourly rate and overtime, the deductions on a payslip including income tax, National Insurance and pension contributions, and working out net pay.

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  1. What this dot point is asking
  2. Gross pay and overtime
  3. Deductions and net pay
  4. Reading a payslip
  5. Examples in context
  6. Try this

What this dot point is asking

The SQA wants you to analyse the factors affecting someone's income: calculate gross pay from an hourly rate and overtime, then work out net pay by subtracting deductions such as income tax, National Insurance and pension contributions, reading the figures from a payslip.

Gross pay and overtime

Gross pay is what someone earns before anything is taken off. For an hourly worker it is the number of hours worked multiplied by the hourly rate, plus any overtime.

A salaried worker is paid a fixed annual amount instead. To find monthly pay, divide the annual salary by 1212; to find weekly pay, divide by 5252. Some workers are paid weekly, others monthly, so converting between the two is a common step: a £480\pounds 480 weekly wage is roughly 480×52÷12=£2080480 \times 52 \div 12 = \pounds 2080 a month.

Bonuses and commission are additions to basic pay, so they increase the gross. Commission is often a percentage of sales, for example 5%5\% of £4000\pounds 4000 of sales is £200\pounds 200 added to the basic pay.

Deductions and net pay

Deductions are amounts taken off gross pay before it reaches the worker. The three that appear most often at National 5 are income tax, National Insurance and pension contributions.

Income tax and National Insurance are sometimes given as a percentage of pay rather than a fixed amount, in which case you find that percentage of the gross first, then subtract.

Reading a payslip

A payslip lists gross pay, each deduction, and net pay. The skill the SQA tests is interpreting these figures: identifying which entries are additions (basic, overtime, bonus) and which are deductions (tax, National Insurance, pension), then combining them correctly. A payslip may also show year-to-date totals, which add up everything earned and deducted so far in the tax year; a question might ask you to read or check one of these running totals against the monthly figures.

Examples in context

Income questions model real working life. A part-time worker checks whether their overtime was paid correctly; a graduate compares a salary offer by working out monthly take-home pay; a payslip is read to confirm the right tax and pension were deducted. These all rest on separating additions from deductions and calculating gross and net pay accurately, the core skill here.

Try this

Q1. A worker earns £11\pounds 11 per hour for 4040 hours. Find the basic weekly pay. [2 marks]

  • Cue. 40×£11=£44040 \times \pounds 11 = \pounds 440.

Q2. Overtime is paid at double time. Find the overtime rate for a basic rate of £9\pounds 9. [1 mark]

  • Cue. 2×£9=£182 \times \pounds 9 = \pounds 18 per hour.

Q3. Gross pay is £1500\pounds 1500 with deductions of £180\pounds 180, £90\pounds 90 and £75\pounds 75. Find net pay. [2 marks]

  • Cue. 1500(180+90+75)=£11551500 - (180 + 90 + 75) = \pounds 1155.

Exam-style practice questions

Practice questions written in the style of SQA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

SQA N5 Apps style4 marksAisha is paid £12.40\pounds 12.40 per hour for a 3535 hour week, with overtime at time and a half. One week she works 3535 hours plus 44 hours of overtime. Calculate her gross pay for that week.
Show worked answer →

First find the basic pay: 35×£12.40=£43435 \times \pounds 12.40 = \pounds 434 (1 mark). Time and a half means the overtime rate is 1.5×£12.40=£18.601.5 \times \pounds 12.40 = \pounds 18.60 per hour (1 mark). The overtime pay is 4×£18.60=£74.404 \times \pounds 18.60 = \pounds 74.40 (1 mark). Gross pay is basic plus overtime: £434+£74.40=£508.40\pounds 434 + \pounds 74.40 = \pounds 508.40 (1 mark). Markers reward the basic pay, the overtime rate, the overtime pay, and the correct total.

SQA N5 Apps style3 marksLiam's monthly gross pay is £2200\pounds 2200. His deductions are income tax of £264\pounds 264, National Insurance of £132\pounds 132, and pension of £88\pounds 88. Calculate his net pay.
Show worked answer →

Net pay is gross pay minus total deductions. Add the deductions: £264+£132+£88=£484\pounds 264 + \pounds 132 + \pounds 88 = \pounds 484 (1 mark for adding all three). Subtract from gross: £2200£484=£1716\pounds 2200 - \pounds 484 = \pounds 1716 (1 mark). State the net pay clearly: £1716\pounds 1716 (1 mark). Markers reward totalling every deduction and the correct subtraction. Forgetting one deduction is the usual error.

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