GCSE Foundation Mathematics

• 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.
• Fractions.
• Simplifying fractions.
• Improper fractions and mixed numbers.
• Ordering Fractions.
• 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.

• 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.

To achieve your GCSE Maths qualification you will be assessed across the four sections. Each of the components will be assessed across three paper-based examinations.

While you will be formally assessed by completing your exams, you will also need to complete and submit tutor-marked assignments to allow your tutor to monitor your progress.

If you choose to study this course you will take the foundation level exams, which means the highest grade you will achieve with this GCSE Maths Foundation Tier course is a grade 5.

If you add the exams to your enrolment, the examination centres available for you to complete your exams at are as follows:

• Birmingham
• Bristol
• Coventry
• Doncaster
• Bolton
• Wimbledon
• Taunton
• St Neots, Cambridgeshire
• High Wycombe
• Romford

If you choose to add your exams to your enrolment, we will book these for you.

A more detailed breakdown of the assessment details is provided below.

You will have up to one year to complete your GCSE Maths course from the date you receive your materials. With this course, you will have the flexibility to study at your own pace, and your only deadlines are the GCSE exams, which typically take place during the summer exam period (May/June).

This course enables you to study your GCSE Maths Foundation course from home via distance learning. Your course materials will be sent by post or you can study online, so receiving your materials is easy and hassle-free. Full tutor support will be available via email, so help is only a click away!

Upon successful completion of your exams, you will receive your GCSE Maths qualification.

The GCSE is awarded by AQA and it is recognised by universities, schools, and employers globally.

Please note: If you choose to study this course you will need to take the foundation level examinations which means the highest grade available is a grade 5. You can take this course without completing the exams, but you will not receive the GCSE accreditation.