GCSE Foundation Mathematics Course

An essential subject for all students, GCSE Foundation Mathematics is a fully examined course which encourages the development of mathematical knowledge as a key life skill, and as a basis for more advanced study. The syllabus aims to build students' confidence by helping them develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. Students also learn how to communicate and reason using mathematical concepts.

This course is designed to help meet the needs of those who want an introduction to this challenging subject either with a view to further study at A Level or simply to supplement a portfolio of IGCSE/GCSE subjects.

Qualification: GCSE FoundationMathematics (A8300)
Accredited: Yes
QCF Recognised: Yes
Awarding Body: AQA
Start Date: Anytime - We enrol 365 days a year
Duration: Flexible - Approx 300 Hours - 12 Months Max Support

Course fees include course lessons & 12 months tutor support
(Exam fees not included)


GCSE Foundation Mathematics Course

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Course Fee: Starting at: £449.00

One of the biggest concerns for any potential student is the financial commitment involved. UK Open College recognise this and have implemented a pay as you study plan to assist students in spreading any fees involved with their course over a manageable period of time. Students are able to pay a deposit upon enrolment followed by a monthly repayment over a set period of time.

We would encourage students to view any related fees as an investment in their future. The majority of investments will provide a rewarding return over a set period of time. Once qualified and in employment students can expect a fantastic return on their investment year after year.

We offer all UK Based students guaranteed acceptance onto this scheme* upon completion of a signed student agreement. Shortly after paying your deposit our accounts department will contact you direct via telephone to gather the required information to complete the agreement. Once received we will forward a digital document via email for your signature. 

*Contact details, employment details and valid UK bank details with the ability to set up direct debit are required for all students applying for our pay as you study plan. If students are unable to provide this information any application may be declined

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  • Positive and Negative Numbers
  • Ordering
  • Adding and Subtracting
  • Multiplication and Division
  • Order of Operations
  • Place Value
  • Powers and Roots
  • Factors and Multiples
  • Divisibility Tests
  • Prime Numbers
  • Highest Common Factor and Lowest Common Multiple
  • Decimals
  • Ordering Decimals
  • Adding and Subtracting
  • Multiplying and Dividing
  • Standard Form
  • Multiplying and Dividing
  • Adding and Subtracting
  • Fractions
  • Simplifying Fractions
  • Improper Fractions and Mixed Numbers
  • Ordering Fractions
  • Adding and Subtracting
  • Multiplying
  • Dividing
  • Fraction of a Number
  • Fractions, Decimals and Percentages
  • Converting Between Fractions and Decimals
  • Converting Between Fractions and Percentages
  • Converting Between Percentages and Decimals
  • Exact Calculations
  • Indices
  • Using Pi in Calculations
  • Rounding and Estimation
  • Rounding Integers
  • Rounding to Decimal Places
  • Rounding to Significant Figures
  • Estimation
  • Using a Calculator
  • Measures
  • Standard Units
  • Compound Units
  • Error Intervals
  • Notation and Expressions
  • Terminology
  • Notation
  • Simplifying Expressions – Collecting Like Terms
  • Expanding and Factorising 1
  • Expanding Single Brackets
  • Factorising Single Brackets
  • Substitution
  • Formulae
  • Identities
  • Rearranging
  • Functions
  • Rearranging Equations
  • Expanding and Factorising 2
  • Expanding Double Brackets
  • Factorising Double Brackets
  • Difference of Two Squares
  • Straight Line Graphs
  • Plotting Straight Line Graphs
  • Equation of a Straight Line 1
  • Parallel Lines
  • Equation of a Straight Line 2
  • Quadratic Graphs
  • Plotting Quadratic Graphs
  • Properties of Quadratic Graphs
  • Sketching Functions
  • Cubic Graphs
  • Reciprocal Graphs
  • Real Life Graphs
  • Distance-Time Graphs
  • Straight Line Graphs – Real Life Problems
  • Real Life Graphs 
  • Solving Linear Equations
  • Linear Equations with Unknowns on One Side
  • Linear Equations with Unknowns on Both Sides
  • Solving Quadratic Equations
  • Solving Simultaneous Equations
  • Solving Simultaneous Equations Graphically
  • Solving Simultaneous Equations Algebraically – Elimination
  • Solving Simultaneous Equations Algebraically – Substitution
  • Solving Inequalities
  • Sequence Rules
  • Term to Term Rules
  • Position to Term Rules
  • Finding the nth term
  • Special Sequences
  • Measuring
  • Scales
  • Angles and Bearings
  • Area and Perimeter
  • Rectangle
  • Triangle
  • Parallelogram
  • Trapezium
  • Compound Shapes
  • Angle Rules
  • Types of Angles
  • Angles and Lines
  • Angles in a Triangle and Quadrilateral
  • Angles in Polygons
  • Loci and Construction
  • Perpendicular Bisector
  • Angle Bisector
  • Loci
  • Circles
  • Terminology
  • Area and Circumference
  • Arcs and Sectors
  • 3D Shapes
  • Plans, Elevations and Nets
  • Volume and Surface Area


  • Transformations
  • Translations
  • Reflections
  • Rotations
  • Enlargements
  • Combinations
  • Rotational Symmetry
  • Vectors
  • Pythagoras Theorem
  • Trigonometry
  • Missing sides
  • Missing angles
  • Ratios
  • Ratio
  • Percentages
  • Finding a percentage of a number
  • Simple Interest
  • Percentage Change
  • Original value
  • Proportion
  • Direct Proportion
  • Inverse Proportion
  • Growth and Decay
  • Congruence and Similarity
  • Congruence
  • Similarity
  • Probability Experiments
  • Probability Scales and Notation
  • Expected Outcomes
  • Mutually Exclusive Events
  • Sets
  • Notation
  • Venn Diagrams
  • Tree Diagrams
  • Collecting Data
  • Sampling
  • Frequency Tables
  • Statistical Diagrams
  • Pictograms
  • Bar Charts
  • Pie Charts
  • Histograms
  • Scatter Graphs and Correlation
  • Averages
  • Mean
  • Mode
  • Median
  • Range
  • Grouped Data

Students looking to enrol onto this course should meet the following criteria:

Be aged 14 Years or above
Possess a solid knowledge of the english language
Have access to a PC and the internet for the duration of the whole course
Basic computer skills: e.g Word processing, emailing, uploading documents etc
Have a genuine desire to succeed


To sit AQA examination students must register as a private candidate with an approved examination centre. Full details will be contained within your course pack

AQA - GCSE Foundation Mathematics

AQA Examinations are the largest awarding body in the UK for international qualifications predominantly aimed at 14-19 years olds. AQA is recognised by the Office of Qualifications and Examinations Regulation (Ofqual) – the regulator of examinations in England – to award qualifications. This means you can be sure all assessments and qualifications are monitored and meet appropriate standards

Course duration will vary dependant on student commitment, effort and ability. Overall guided learning hours are approx 300. This should be used as a guideline only and completion times will vary hugely. 

We would encourage students to seriously consider how they plan to complete their chosen course prior to enrolment. Students should think about how they are going to study, where they are going to study and how often. Be realistic!

Speak to family members and help them to understand what you are trying to achieve, explain you may require peace and space to study at certain times. The more you involve them the more likely you are to get them on your side.

Students are reminded that the time in which they complete is purely down to them as an individual. Completion can be as quickly or as slowly as you wish within the 12 month tuition period. If you require additional time an extension may be available. Extensions are arranged at an additional cost as and when needed

Online: Access our premium online cloud based learning system where you are able to access all of your course lessons, assignments and tutor correspondence in one place. Download the APP and access your course information on any device from anywhere in the world with an internet signal.  This course is not available in hard copy/paper format,

We will begin by looking at what the examination board will require of you in the way of examinations. You will be referred to what you need to do in terms of registration and arranging with an external centre for you to take the examinations.

Once the administration matters have been cleared up, we will look at the specification we will be following. As part of your course, you will be supplied with the Study Guide for IGCSE and A Levels. Do make use of this as it has been written to help you with your studies and to supplement the specific information and guidance given in the course material itself.


To achieve a GCSE in Mathematics you will be assessed across the 4 sections. Both components will be assessed by 3 paper-based examinations. A more detailed breakdown of the assessment details is provided below:
  • Paper 1 – Non-Calculator
  • Type: Written examination
  • Duration: 1 Hour
  • Weighing: 33⅓% of the GCSE
  • Total Marks: 80
  • Assessed: Content from all parts of the course
  • Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems
  • Paper 2 - Calculator
  • Type: Written examination
  • Duration: 1 Hour
  • Weighing: 33⅓% of the GCSE
  • Total Marks: 80
  • Assessed: Content from all parts of the course
  • Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems
  • Paper 3 – Calculator
  • Type: Written examination
  • Duration: 1 Hours
  • Weighing: 33⅓% of the GCSE
  • Total Marks: 80
  • Assessed: Content from all parts of the course
  • Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems
  • Although you are assessed formally by examination, you will also be required to submit tutor-marked assignments. These are designed to help you and monitor your progress. 
  • If you choose to study this course you will need to take the foundation level examinations, which means the highest grade available is a C grade.

In order to help students with the terms and conditions of their enrolment we have tried to keep things simple and easy to understand. No jargon or small print. Our full terms and conditions can be viewed here.

In our experience the main and most important part of these terms for our students is the cancellation & returns policy. So let’s explain these clearly to avoid any misunderstanding.

Firstly, we would request that students check the course syllabus and content immediately upon receipt. This is vitally important. Please ensure that any qualification awarded at the end of your course meets your needs. If in doubt call us on 0121 288 0181 to check before you enrol.

If for any reason you wish to cancel and return your course to us for a refund you are welcome to do so as long as you notify us within 14 days of receipt at the delivery address. Please email accounts@ukopencollege.co.uk stating your name, address, invoice number requesting to cancel. We will then respond to you with further instruction. If you have received a hard copy of your course you will be required to return this at your own cost via courier/recorded delivery before a full refund will be issued. If you have paid a deposit and signed a student agreement, you will be charged a £30 cancellation fee. This will be deducted from any deposit paid in addition to any postage charges incurred by us.

All returns must remain unused and in resalable condition. This complies with distance selling regulations. All students are welcome to return their course to us for any reason as long as we have been notified within the 14 days as above. Unfortunately, if notification to cancel is received outside of this period your request for a refund will be declined. This does not affect your statutory rights

Please call our accounts team direct on 0121 288 0181 if you have any questions regarding our cancellation and returns policy. It will only cost you a phone call

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