OCR GCSE Maths Foundation (J560)
OCR GCSE Maths Foundation (J560) is the lower tier of OCR GCSE Mathematics, covering grades 1 to 5 through three 1 hour 30 minute papers of 100 marks each, one of which is non-calculator. Our OCR GCSE Maths Foundation course follows the J560 specification and covers number operations and integers, fractions, decimals and percentages, algebra, ratio and proportion, geometry, probability and statistics at foundation tier. You prepare for all three 1 hour 30 minute papers. Lessons are live and one-to-one with a verified subject tutor, who works through exam-style questions with you, marks your answers against the OCR mark scheme and shows you where marks are won and lost. Suitable for Year 10 and Year 11 students and resit candidates.
Reviewed by M. Wazid, Master's in Mathematics, Jamia Millia IslamiaLast updated
$15 – $41
per hour
Free demo class · pay only if you continue
What you will learn
Learning outcomes
- Develop confidence with numerical calculations
- Work with fractions decimals and percentages
- Understand factors multiples and prime numbers
- Apply ratio proportion and rates of change
- Simplify algebraic expressions
- Solve linear equations and inequalities
- Work with sequences and graphs
- Interpret coordinates and straight-line graphs
- Calculate perimeter area and volume
- Apply angle rules and geometric properties
- Use transformations and constructions
- Apply Pythagoras theorem
- Use basic trigonometry
- Calculate probabilities
- Interpret statistical tables charts and graphs
- Calculate averages and measures of spread
- Apply mathematics to real-world situations
- Develop mathematical reasoning skills
- Solve multi-step mathematical problems
- Answer OCR Foundation exam-style questions effectively
Prerequisites
- Basic arithmetic skills
- Addition subtraction multiplication and division
- Basic knowledge of fractions decimals and percentages
- Basic understanding of shapes and measurements
- Ability to interpret simple graphs and tables
- Basic English comprehension
Tags
Course structure
Syllabus(12 modules)
- Mathematical Operations
- Order of Operations (BIDMAS/BODMAS)
- Place Value
- Negative Numbers
- Money Calculations
- Addition & Subtraction
- Multiplication & Division
- Related Calculations
- Counting Principles
- Types of Number Multiples
- Factors & Primes Squares
- Cubes & Roots Reciprocals
- Prime Factor Decomposition
- HCF & LCM
What is OCR GCSE Maths Foundation (J560)?
In short: this course gives one-to-one online tutoring for OCR GCSE Mathematics (J560) at Foundation tier, for students aiming for a grade 4 or 5. A verified maths tutor rebuilds core skills and practises OCR past papers so you pick up every method mark available.
OCR GCSE Mathematics (J560) Foundation tier gives access to grades 5 to 1. Foundation students sit Papers 1, 2 and 3, each 1 hour 30 minutes and worth 100 marks; Paper 2 is the non-calculator paper.
This course covers the full Foundation content one to one with a verified maths tutor, focusing on the topics and question types that will lift your grade.
Official specification: OCR GCSE Mathematics J560.
For wider support, see our maths tutoring page, or the AQA GCSE Maths Foundation course if your school follows AQA.
What's on the OCR GCSE Maths papers?
OCR GCSE Maths Foundation is assessed by three papers, J560/01, J560/02 and J560/03, each 1 hour 30 minutes and worth 100 marks and a third of the GCSE. Paper 02 is non-calculator; Papers 01 and 03 allow a calculator. Every paper can test any part of the specification.
| Paper | Calculator | Time | Marks | Weighting |
|---|---|---|---|---|
| J560/01 | Calculator permitted | 1 hour 30 minutes | 100 | 33⅓% |
| J560/02 | Calculator not permitted | 1 hour 30 minutes | 100 | 33⅓% |
| J560/03 | Calculator permitted | 1 hour 30 minutes | 100 | 33⅓% |
Higher-tier students take Papers 04, 05 (non-calculator) and 06 instead.
What are the Foundation-tier assessment objectives?
At Foundation tier, GCSE Maths assessment objectives are weighted 50% using standard techniques (AO1), 25% reasoning, interpreting and communicating (AO2) and 25% solving problems (AO3). Half the marks reward secure core skills.
| Objective | What it tests | Foundation weighting |
|---|---|---|
| AO1 | Use and apply standard techniques | 50% |
| AO2 | Reason, interpret and communicate mathematically | 25% |
| AO3 | Solve problems in mathematical and other contexts | 25% |
Content areas covered
| Area | Key topics |
|---|---|
| Number | Fractions, decimals, percentages, powers, standard form |
| Algebra | Expressions, equations, sequences, graphs |
| Ratio and proportion | Ratio, percentage change, best buys, speed and density |
| Geometry and measures | Angles, area, volume, Pythagoras, trigonometry |
| Probability | Outcomes, tree diagrams |
| Statistics | Averages, charts, scatter graphs |
What does a worked Foundation maths question look like?
Here is a typical Foundation-tier question: a jacket costs £40 and its price rises to £46. Find the percentage increase.
| Step | Working |
|---|---|
| Find the increase | £46 − £40 = £6 |
| Divide by the original | 6 ÷ 40 = 0.15 |
| Convert to a percentage | 0.15 × 100 = 15% |
Where do students lose marks in OCR GCSE Maths Foundation?
Foundation students most often lose marks by not showing working, making arithmetic slips on the non-calculator paper, misreading questions, forgetting units and leaving questions blank.
| Mark-loser | What to do instead |
|---|---|
| No working shown | Write each step; OCR's 100-mark papers reward method |
| Arithmetic slips | Practise written methods and check answers |
| Misreading questions | Underline what is being asked |
| Missing units | Add units to every final answer |
| Blank questions | Attempt every question; partial working scores |
How to reach grade 4 or 5
A grade 4 is a standard pass and a grade 5 a strong pass. Tutors focus on the topics OCR tests every year, build number and algebra skills, and practise the longer problem-solving questions OCR uses.
Exam technique and past papers
Tutors use OCR past papers and mark schemes, teach how method and accuracy marks are awarded, and help you manage time on each paper. Showing full working earns method marks even when the final answer is wrong.
How the lessons work
Lessons are live and one to one on video with a shared whiteboard. Your tutor finds the gaps, plans around them, and sets and marks practice between sessions against the OCR mark scheme. For specific questions, try maths homework help or see our Mathematics subject page.
OCR GCSE Maths past papers and tutoring: who this Foundation course is for and study plan
OCR GCSE Maths past papers show you how J560 Foundation is examined, and this course pairs them with live 1-to-1 lessons on every topic, so you can aim for a secure grade 4 or 5.
This course suits Year 10 and Year 11 students on Foundation tier, and post-16 or adult learners resitting.
Prerequisites: basic arithmetic, simple fractions and percentages, and reading simple graphs and tables.
Course length: 45 one-hour lessons across 12 topics.
| Stage | Topics | What you can do afterwards |
|---|---|---|
| 1 | Number, fractions, decimals, percentages, indices and estimation | Calculate accurately with and without a calculator |
| 2 | Ratio and proportion; algebra; graphs | Solve equations and read graphs |
| 3 | Geometry, transformations and mensuration | Find angles, areas and volumes |
| 4 | Probability; statistics | Find probabilities and read charts and averages |
Where it leads: see the AQA GCSE Maths Foundation course if your school follows AQA, or our maths tutoring page.
OCR GCSE Maths Foundation (J560): frequently asked questions
What is the OCR GCSE Maths specification code?
The specification code is J560.
How many papers are in OCR GCSE Maths?
Three papers, each 1 hour 30 minutes. One is non-calculator and two are calculator papers.
What grades can I get on Foundation tier?
Foundation tier gives access to grades 5 to 1.
Which OCR Maths paper is non-calculator?
On Foundation, Paper 2 is non-calculator. On Higher, Paper 5 is non-calculator.
Is there a formula sheet in GCSE Maths?
Recent exam series have provided a formulae sheet, but check the arrangements for your exam year.
How can I improve quickly in GCSE Maths?
Secure the topics that come up every year, show full working and practise timed past papers, reviewing every mistake.
Can a tutor help with the non-calculator paper?
Yes. Tutors build fluency with fractions, percentages, powers and algebra so you can work accurately without a calculator.
Do you help with GCSE Maths resits?
Yes. Tutors target the topics and question types that will lift your grade fastest.
How much does a GCSE maths tutor cost?
The price depends on the tutor and session length. You see the hourly rate before booking, with no subscription.
Where can I find OCR GCSE Maths Foundation past papers?
OCR publishes recent OCR GCSE Maths Foundation past papers, mark schemes and examiner reports on its website, and schools can access more through their secure portals. Use them under timed conditions, then mark your answers carefully with the mark scheme. Your tutor sets past-paper questions topic by topic, then full timed papers closer to your exam.
What are the OCR GCSE Maths Foundation grade boundaries?
OCR publishes grade boundaries for OCR GCSE Maths Foundation after each exam series, and they change from year to year with paper difficulty. They show the raw marks needed for each grade. Your tutor marks full past papers and compares your scores with recent boundaries to estimate your grade and target the topics that matter most.
How many marks is each OCR GCSE Maths paper?
Each paper is worth 100 marks and lasts 1 hour 30 minutes.
How many marks do I need for a grade 4 in OCR Foundation Maths?
OCR sets new grade boundaries after every exam series, so the mark for a grade 4 changes each year. On Foundation tier it has often been around half of the total marks, but treat that only as a rough guide. Your tutor marks full past papers against recent boundaries so you can see how close you are.
What are the Foundation assessment objectives?
AO1 standard techniques (50%), AO2 reasoning and communicating (25%) and AO3 problem solving (25%).
How do I calculate a percentage increase?
Find the increase, divide by the original amount and multiply by 100. £40 to £46 is a 15% increase.
Why are OCR maths papers 100 marks?
OCR uses 100 marks per paper, giving more scope for method marks on each step.
How should I revise for OCR Foundation Maths?
Start with a past paper to find your weak topics, then practise those with short daily sessions rather than long cramming. Learn key facts such as area formulas and fraction rules, and always show your working, because method marks add up. Your tutor plans weekly practice and marks full papers under timed conditions.
Which Higher-tier papers does OCR use?
J560/04, 05 and 06, with Paper 05 non-calculator.
What topics come up most on Foundation papers?
Number, ratio and percentages, basic algebra, area and perimeter, angles, probability and charts appear regularly.
Do you offer lessons in my time zone?
Yes. Lessons are online, so you can book times that suit your time zone and school week.
How should I use OCR GCSE Maths past papers?
Start with questions on one topic while you are learning it, then move to full timed OCR GCSE Maths past papers near your exam. Mark each answer with the mark scheme and note where marks were lost. Your 1-to-1 tutor uses those notes to plan your next lessons.
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