UK / GF1 / 01
GCSE Maths
Foundation content on AQA, Edexcel or OCR.
Open the syllabusEngland · GCSE Maths Foundation tier · AQA, Edexcel and OCR
A Foundation tier student does not need the hardest question on the paper to pass GCSE Maths. Grade 4 is earned on the common ground: percentages, ratio, equations, area, probability, done accurately and written down. AQA's examiners said as much about the June 2025 Foundation papers. Most students had time to finish, and many marks were lost not to difficult maths but to habits: working out by hand on a calculator paper, leaving out steps the question asked for, multiplying by 100 instead of 1000. This page explains what grades 4 and 5 mean, sets out where Foundation students lost marks in 2025, and gives the plan we tutor to, with four worked examples of our own.
Live teaching since 2020 · 10,000+ students · Built from Ofqual's grading rules and AQA's June 2025 Foundation reports
In short
GCSE Maths Foundation tier is the entry level of the GCSE Maths exam in England, awarding grades 1 to 5, and it is sat by students in Years 10 and 11 and by resit students on AQA, Pearson Edexcel or OCR. A Foundation maths tutor helps a student secure grade 4 and push for grade 5 by fixing the common-ground topics and exam habits that carry most marks. Modern Age Coders tutors Foundation tier live online, in a group of 15 to 20 or 1-on-1, through its GCSE Maths: Foundation and Higher course, on the student's own board. Our first class is free, and we are not connected with any exam board.
Courses for Foundation
Most Foundation students join the GCSE course. Some need algebra rebuilt first. A few, especially post-16, are better served by Functional Skills.

GF / 01
The Foundation content on the student's own board, with past papers and weekly habits.
Open the syllabus →
GF / 02
For students who lose marks forming and solving equations, the weakest area in 2025.
Open the syllabus →
GF / 03
Level 1 and Level 2, a practical alternative for some post-16 learners and adults.
Open the syllabus →Grade 4 and 5
The highest grade on Foundation tier is 5. Grade 4 is the line most students, schools and colleges watch, and Ofqual set it with a particular meaning.
Every board awards Foundation tier grades from 1 to 5; Pearson's specification says simply "Foundation tier: grades 1 to 5." When Ofqual set up the 9 to 1 scale for the first awards in 2017, it fixed two anchor points that matter for Foundation students. "Broadly the same proportion of students will achieve a grade 4 and above as currently achieve a grade C and above." And "Grade 5 will be positioned in the top third of the marks for a current Grade C and bottom third of the marks for a current Grade B." Ofqual also cautioned that "it is not right to say simply that a new grade 4 will equal a current grade C": the match is at the bottom of the grade.
| Part of the paper | Share of Foundation marks | What it asks for |
|---|---|---|
| AO1: use and apply standard techniques | 50 per cent | Recall, notation, routine methods and multi-step tasks |
| AO2: reason, interpret and communicate | 25 per cent | Deductions, chains of reasoning, explanations |
| AO3: solve problems | 25 per cent | Turning a situation into maths and interpreting the answer |
| Number | 22 to 28 per cent | The biggest topic areas on Foundation, with ratio |
| Ratio, proportion and rates of change | 22 to 28 per cent | Percentages, value for money, scales, speed |
| Algebra | 17 to 23 per cent | Expressions, equations, sequences, graphs |
Half of the Foundation marks go to standard techniques, and number and ratio together take nearly half of the content. That is the arithmetic of a grade 4. A student who is fluent and accurate on routine number, ratio and equations has most of the marks they need before the problem-solving questions begin. Ofqual's 2014 statement also confirmed that "grades 4 and 5 available through both tiers", so a Foundation student is not sitting a lesser exam for those grades.
Pearson's specification states that "Students are expected to continue with their study of GCSE Mathematics after the age of 16 if they have not achieved the qualification at Key Stage 4."
In practice, a student who leaves Year 11 below grade 4 usually keeps studying maths in sixth form or college. Our resit page sets out the post-16 rule in full.
Yes, for a student who is secure at grade 4 by the spring of Year 11. Grade 5 sits higher up the same paper, so the route is accuracy on the later, longer questions rather than new Higher-only content.
If a student is scoring well into grade 5 on full Foundation papers, the tier question is worth reopening with the school; our Foundation vs Higher page explains how.
Sources: Ofqual, Setting standards for new GCSEs in 2017 (12 September 2014), and the Pearson Edexcel GCSE (9-1) Mathematics 1MA1 specification, Issue 2. Read on 31 October 2026.
Where marks go
AQA publishes a report on every paper. Its June 2025 Foundation calculator reports (8300/2F and 8300/3F) are unusually blunt, and most of what they describe is fixable in weeks.
| What happened | What AQA wrote | Type of loss |
|---|---|---|
| Calculator left unused | "some marks were lost due to arithmetical errors being made" when students worked by hand on a calculator paper | Habit |
| Working not shown | "Students did not always show working when instructed to do so" | Habit |
| Angles in similar shapes | "Only 25% of the cohort appreciated that the angle remained constant" | Knowledge |
| Showing expressions are equivalent | "Less than one third were able to successfully show the two expressions were equivalent" | Algebra |
| Unit conversions | "A common error here was to use 100 instead of 1000." | Recall |
| Probability trees | Some "thought they needed to add the probabilities" instead of multiplying | Knowledge |
| Forming an equation from a perimeter | Described as "answered very poorly" | Algebra |
Read the right-hand column. Of the seven losses, two are pure habit and one is a single fact (there are 1000 metres in a kilometre, 1000 grams in a kilogram). None of those three needs new mathematics. They need practice in the way the paper is sat. The 2F report also recorded that "the vast majority had sufficient time to complete the paper", so speed is rarely the problem. Accuracy and layout are.
The 3F report noted that "Some of the questions that were common with the Higher tier proved challenging for students on this tier." These are the grade 4 and 5 questions, and they reward secure algebra.
On a unitary method question, AQA recorded "just over 80% completing the question successfully". Foundation students can do this mathematics; the gaps are narrow and named.
On a relative frequency question, many students "calculated 132 correctly but then were unsure how to answer". A correct number is not the answer if the question wants a fraction or decimal.
Source: AQA, GCSE Mathematics 8300/2F and 8300/3F, Reports on the examination, June 2025, from the AQA 8300 assessment resources. The findings come from AQA papers, but the topics are common to every board's Foundation tier.
The plan
Bank the routine marks, build the common-ground topics, and only then stretch to the last questions. The split and the steps are our own; the evidence for them is above.
| Stage | What it covers | How we practise it |
|---|---|---|
| Bank | Habit and recall marks: calculator use on Papers 2 and 3, units, working on every line, answering in the form asked | A five-point checklist on every question for six weeks, until it is automatic |
| Build | The common ground: percentages, ratio, equations, area and perimeter, angles, probability | Short topic sets, then the same topic inside a mixed paper |
| Stretch | The longer questions near the end, including those shared with Higher | One crossover question per lesson, worked slowly and then retried a week later |
A group of 15 to 20 Foundation students suits a learner who is close to grade 4 and needs steady practice and the push of a class.
1-on-1 suits a student well below grade 4, a student who freezes in class, or a resit student with a few months and a very specific list of gaps.
Promise a grade. We tell families what the papers show, month by month, and what would move the result.
Replace the practice between lessons. Twenty minutes a day on the recall list does more than an extra hour once a week.
Worked examples
Our own questions on the topics AQA's June 2025 Foundation reports flagged. They are not taken from any board's papers.
Question (ours). Triangle Q is an enlargement of triangle P with scale factor 3. In P, one angle is 40° and the side opposite it is 5 cm. Find the matching angle and side in Q.
Side. Lengths scale: 5 × 3 = 15 cm.
Angle. Angles do not scale. An enlargement keeps the shape, so the angle is still 40°.
Check. If angles tripled, a triangle's angles would add to 540°, which is impossible. That one-line check is worth teaching.
Question (ours). An equilateral triangle has sides 3x + 2, 5x − 6 and another side. Find x and the perimeter.
Use the fact. Equilateral means all sides are equal, so 3x + 2 = 5x − 6.
Solve. 2 + 6 = 5x − 3x, so 8 = 2x and x = 4. Each side is 3 × 4 + 2 = 14 cm.
Perimeter. 3 × 14 = 42 cm. The equation comes from the shape's property, not from adding the expressions together.
Question (ours). The probability that a bus is late is 0.2, and independently that a train is late is 0.3. Find the probability that both are late, and that exactly one is late.
Both late. Along one branch, multiply: 0.2 × 0.3 = 0.06.
Exactly one. Bus late and train on time: 0.2 × 0.7 = 0.14. Bus on time and train late: 0.8 × 0.3 = 0.24. Two separate outcomes, so add: 0.14 + 0.24 = 0.38.
Rule. Multiply along a path; add different paths. That sentence fixes the error AQA described.
Question (ours). Cereal A is 750 g for 3.15 (in pounds). Cereal B is 500 g for 2.20. Which is better value?
Same quantity. Price per 100 g. A: 3.15 ÷ 7.5 = 0.42. B: 2.20 ÷ 5 = 0.44.
Answer with a reason. A is better value, because 100 g of A costs 42p and 100 g of B costs 44p.
Habit. The calculator does the division, and the answer is written as a sentence with both figures in it.
Practice set (ours, answers below). (1) Convert 3.4 km to metres. (2) Increase 60 by 35 per cent. (3) Share 72 in the ratio 5 : 3. (4) Solve 4x − 7 = 2x + 9. (5) A spinner lands on red with probability 0.35; it is spun 200 times; how many reds would you expect? (6) A square has the same perimeter as a rectangle measuring 9 cm by 5 cm; find the side of the square. Answers: (1) 3400 m; (2) 81; (3) 45 and 27; (4) x = 8; (5) 70; (6) the perimeter is 28 cm, so the side is 7 cm.
Exam habits
Our own checklist, written from the losses AQA described. Students tick it on practice papers until they stop needing it.
Formulae help too. Ofqual requires a formulae sheet in the 2025, 2026 and 2027 GCSE Maths exams, on every board and in the November series. It lists formulae students would otherwise have to memorise, so Foundation students should practise with a copy of their own board's sheet beside them, and know where each formula is on it before the exam.
Progress
Each step is shown on full Foundation papers from the student's own board.
| Step | Usually by | What the papers should show |
|---|---|---|
| 1. Habits banked | Six weeks in | Calculator used, working shown, units right on almost every question |
| 2. Recall secure | Two months in | Conversions, angle facts and equivalences correct without thinking |
| 3. Grade 4 on full papers | Spring of Year 11 | Grade 4 marks reached on two or three papers in a row |
| 4. Grade 5 within reach | Before the summer series | Crossover questions started and partly or fully solved |
Habit marks come back in weeks, and the student feels the difference in the next mock.
Younger students still at Key Stage 3 may be better served by our KS3 maths page.
We only call grade 5 realistic when the full papers say so.
Lessons are lighter in exam weeks.
Catalogue
From number gaps to life after the GCSE.
UK / GF1 / 01
Foundation content on AQA, Edexcel or OCR.
Open the syllabusUK / GF1 / 02
Forming and solving equations, step by step.
Open the syllabusUK / GF1 / 03
For students retaking after Year 11.
Open the syllabusUK / GF2 / 01
Fractions, negatives and place value made secure.
Open the syllabusUK / GF2 / 02
Number sense for younger siblings and early starters.
Open the syllabusUK / GF2 / 03
Trees, relative frequency and averages.
Open the syllabusUK / GF3 / 01
Level 1 and Level 2 for work and college.
Open the syllabusUK / GF3 / 02
Percentages and interest in real contexts.
Open the syllabusUK / GF3 / 03
Number practice through short Python programs.
Open the syllabusLessons
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. The teachers work from India and every slot is in UK time.
After school
The common slot for Years 10 and 11.
Evening
For resit students with college or work.
Weekend morning
For a full timed paper.
AQA, Edexcel or OCR past papers at Foundation tier, never a generic mix.
Calculator, working, units, form, sense, ticked until automatic.
Number, ratio and equations before the longer problem questions.
A short note to parents on what the papers show and what to fix next.
One live class to see the student work, with nothing to pay.
A Foundation group of 15 to 20, or 1-on-1 at a time that suits.
Student work
A few things built in everyday lessons, unmarked. See student labs for more.

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Fees
Start with a free class. Then a monthly fee, lower in a group than 1-on-1, billed only after a course and a weekly time are agreed, and with no contract.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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Foundation questions
Grade 5. Foundation tier awards grades 1 to 5 on every board, and Ofqual set the scale so that grades 4 and 5 are available on both tiers.
Not exactly. Ofqual set grade 4 so that broadly the same proportion of students get a 4 or above as used to get a C or above, but it warned against saying a 4 simply equals a C.
It changes every year and by board, because grade boundaries are set after each series is marked. The safe approach is to aim for a comfortable margin above recent boundaries on full past papers.
Number and ratio, proportion and rates of change are the biggest areas: Pearson gives each 22 to 28 per cent of Foundation marks. Algebra takes 17 to 23 per cent, and geometry and statistics the rest.
AQA's June 2025 reports name habits: working by hand on calculator papers, not showing working when asked, unit slips such as using 100 instead of 1000, and answering in the wrong form.
Yes. Grade 5 is the top of the Foundation scale, reached by accuracy on the later questions, including ones shared with Higher. A student securely in grade 5 might discuss the tier with their school.
Yes. Ofqual requires a formulae sheet in GCSE Maths in 2025, 2026 and 2027, at both tiers and in the November series. Practise with your own board's sheet.
Yes. The Foundation content is the same on every board, and we practise with the past papers of the board your school uses.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. All times are UK time.
No, and nobody honestly can. We show families what each full paper says, month by month, and we are not connected with any exam board.
Related pages
The tier decision, the papers, the grades and what comes after.
How the tier is decided, and the risks either way.
Grades 1 to 9 and where 4 and 5 sit.
Getting the most from each kind of paper.
What happens after a result below grade 4.
Two routes to a Level 2 maths qualification.
The hub for all our UK pages.
Part of the guide: UK maths exam boards and specification codes
More guides: UK maths year by year, Reception to Year 11 · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
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Rather read first? The GCSE Maths course lists every topic, and how we teach shows what a class is like.
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