Functional Skills maths at Level 1 and Level 2, from the content to the test

Functional Skills maths

Functional Skills maths Level 2 is a qualification in England that the Department for Education describes as one "for work, study and life", and it has a single result: Pass or Fail.

Level 1 sits one step below it. Both levels draw on the same three areas of maths, both are tested partly without a calculator, and both are set and marked by awarding organisations under rules written by Ofqual, the exams regulator in England. This guide goes through what each level covers, with worked examples, how the test is organised and what to practise first. It is written for adults going back to maths and for the tutors, colleagues or relatives helping them.

What Functional Skills maths Level 1 and Level 2 cover

The Department for Education subject content for Functional Skills maths, updated on 8 November 2024, organises every level into three areas: using numbers and the number system; using common measures, shape and space; and handling information and data. The content at each level builds on the one below, so a Level 2 candidate is expected to know the Level 1 content as well.

The bigger difference between the levels lies in the problems. At Level 1, a problem is "straightforward": one step, or more than one connected step, and some problems combine any two of the three areas. At Level 2, a problem is "complex": a multi-step process in which you plan and work through at least two connected steps, and some problems draw on all three areas at once.

AreaLevel 1Level 2
NumbersNumbers up to one million, squares of one- and two-digit numbers, decimals to 2 places, simple ratio and direct proportionNumbers of any size, percentage change and original value, inverse proportion, order of operations with indices
Money and percentagesPercentages of amounts, discounts and simple interest in multiples of 5%Compound interest, discounts including tax, simple budgeting
Measures, shape and spaceArea and perimeter of shapes made of rectangles, volume of cubes and cuboids, simple scales on maps and drawingsArea of triangles and circles, volume and surface area including cylinders, speed, density and rates of pay, metric and imperial conversion graphs
Data and probabilityPie charts, bar charts and line graphs, mean and range, probability on a scale from 0 to 1Median and mode, estimated mean of grouped data, probability of combined events, scatter diagrams and correlation

Read the table as a checklist rather than a syllabus: each line hides several skills, and the full list in the DfE document is worth printing if you are studying on your own.

Worked examples from each level

The examples below follow the content statements line by line. They are ours, written to show the kind of reasoning each level expects, not questions from a real paper.

At Level 1, percentages come in multiples of 5%, which makes them easy to build from 10% and 5%. A £40 jacket with 15% off: 10% is £4, 5% is £2, so the discount is £6 and the jacket costs £34. Simple interest works the same way: £200 at 5% a year for 3 years earns £10 a year, £30 in all, so the balance reaches £230. A cuboid box 30 cm by 20 cm by 10 cm has a volume of 30 × 20 × 10 = 6,000 cm³. If those steps feel slow, our guide to percentages in your head covers the 10% and 5% shortcuts.

At Level 2, the same ideas come back with one more step. £1,000 at 3% compound interest for 2 years gives £1,030 after the first year and £1,030 × 1.03 = £1,060.90 after the second; the method is explained in our article on how compound interest grows. A price of £92 after a 15% rise was £92 ÷ 1.15 = £80 before it, and subtracting 15% of £92 instead gives £78.20, which is the classic wrong answer. Inverse proportion: if 4 people paint a fence in 6 hours, 3 people need 4 × 6 ÷ 3 = 8 hours. Compound measures: 150 miles in 2.5 hours is 150 ÷ 2.5 = 60 miles per hour.

Notice that none of these is hard on its own. The marks at Level 2 come from choosing the right steps in the right order, which is what the DfE content means by a complex problem.

How the Functional Skills exam is organised

The rules for the test itself are in the Ofqual conditions and requirements for Functional Skills mathematics, updated on 1 May 2024. They apply to every awarding organisation, and each awarding organisation must set all of its own assessments, which is why papers look different from one provider to another.

RuleWhat Ofqual requires
StructureA single component: either one assessment with a non-calculator section and a calculator section, or two assessments, one for each
Total time at Levels 1 and 2Between 1 hour 45 minutes and 2 hours 30 minutes
Total time at Entry LevelBetween 1 hour 15 minutes and 1 hour 45 minutes
Marks without a calculator25% of the total
Marks with a calculator75% of the total
Underpinning skills and problem solving25% and 75% of the marks, as far as reasonably possible
ResultPass or Fail, with one boundary mark for a Pass
Guided learning55 hours for each qualification

Two details in these conditions matter for candidates. When the component is split into two assessments, the boundary mark applies to the combined mark from both, and there is no separate pass mark for either one: a weaker non-calculator test can be made up for in the calculator test. And at Levels 1 and 2, the work must be marked by the awarding organisation or a person connected to it, while at Entry Level a centre may mark it.

The Functional Skills calculator rules and the non-calculator section

A quarter of the marks come from questions that must be answered without the use of, or access to, a calculator. The DfE content explains why: problem solving is the core of the qualification, but the underpinning knowledge, such as times tables, must also be shown "in their own right", with and without a calculator.

In practice, the non-calculator section rewards the same habits at both levels: times tables without hesitation, written methods for the four operations with decimals, simple fractions of amounts and the 10%, 5% and 1% building blocks for percentages. Many of the techniques overlap with those in our guide to the non-calculator GCSE maths paper, even though the two qualifications are separate.

The calculator section is not a free pass either. The DfE content asks candidates to check the sense and reasonableness of their answers and to present results with an explanation. A quick estimate before pressing the keys, such as £1,060.90 being "a little more than £1,000", catches most slips.

Level 1 or Level 2, and the GCSE equivalent question

The DfE content describes the purpose of Levels 1 and 2 as a qualification for work, study and life, and Ofqual sets a single Pass grade. Neither document sets an equivalence between Functional Skills maths and a GCSE grade. If a job advert, an apprenticeship or a course asks for "GCSE maths or equivalent", the safe move is to ask the employer or provider whether Level 2 Functional Skills maths is accepted for that specific requirement, and to keep the answer in writing.

Choosing between the levels is easier. Since Level 2 includes everything at Level 1, start with the Level 1 list: if discounts in multiples of 5%, the area of a shape made of rectangles and the mean of a set of numbers all feel comfortable, Level 2 is a realistic target. If several of them do not, Level 1 first gives you a pass to build on and the same three content areas at a gentler pace.

How to prepare in the weeks before the test

Start by asking your centre which awarding organisation it uses, since each one writes its own papers within the Ofqual rules, and get that organisation's sample or past papers. Then plan the practice around three points from the official documents.

First, time. With 1 hour 45 minutes to 2 hours 30 minutes in total, set by each awarding organisation within that range, do at least two full papers in one sitting before the real one. Second, the non-calculator quarter: ten minutes a day on tables, written methods and percentages moves those marks faster than anything else. Third, the explanation. Both levels ask you to present results with reasoning, so write each step and a short sentence at the end, such as "the 500 g pack is cheaper per kilogram".

Finally, keep the problems in their real-life setting. The DfE content is about solving problems in the workplace and other real-life situations, so practise with bills, timetables, recipes and floor plans: a familiar setting makes it easier to tell when an answer cannot be right.

Frequently asked questions

What does Level 2 Functional Skills maths test?

Numbers, measures, shape and space, and data, through complex multi-step problems: compound interest, percentage change, inverse proportion, areas of circles, cylinders, averages and probability of combined events.

How long is the Functional Skills maths exam?

At Levels 1 and 2, the total assessment time is between 1 hour 45 minutes and 2 hours 30 minutes. At Entry Level it is between 1 hour 15 minutes and 1 hour 45 minutes.

Can you use a calculator in Functional Skills maths?

For 75% of the marks, yes. The other 25% come from a non-calculator section or a separate non-calculator test.

Is Functional Skills Level 2 equivalent to a GCSE?

The DfE subject content and the Ofqual conditions do not set an equivalence with a GCSE grade. Ask the employer or course provider whether Level 2 is accepted for their requirement.

How is Functional Skills maths graded?

Pass or Fail. The awarding organisation sets one boundary mark for a Pass; when the test is split into two assessments, it applies to the combined mark.

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