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GCSE/IGCSE Courses

***Please note that as this is the foundation course the highest level you can achieve is a 5. If you wish to achieve a higher level please consider GCSE Higher Mathematics**

**Paying in Full:** **£399**

**Paying in Stages:** **Your first payment will be £99, then a direct debit will be set up for seven monthly payments of £50. Only available to students with a UK bank account.**

This course will prepare you for sitting your GCSE Foundation Mathematics.

We provide you with support for 12 months but it is entirely up to you how quickly you work through and when you sit the exams.

Exams take place once a year in May/June.

You can choose to receive your course materials by email or receive a hard copy delivered in folders that is yours to keep.

Throughout the course you are fully supported so if you come across anything you are unsure of you can contact your tutor by email. You also have a support team by telephone.

At the end of each section you will complete an assignment which you will email to your tutor. This doesn't count towards your end grade but it allows the tutor to ensure you are on the right track and help iron out any problem areas. Assignments consist of exam style questions so are effectively mini mock exams. The idea is that by the end of the course you are fully up to speed and confident you will achieve the grade you require.

There are no entry requirements for the course.

**Section 1:**

**Structure and Calculations:**

- 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

**Fractions and Decimals:**

- 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

**Measures and Accuracy:**

- 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

**Section 2: ALGEBRA**

**Notation, Expressions and Formulae:**

- Notation and Expressions
- Terminology
- Notation
- Simplifying Expressions - Collecting Like Terms
- Expanding and Factorising 1
- Expanding Single Brackets
- Factorising Single Brackets
- Substitution
- Formulae
- Identities
- Rearranging Equations
- Expanding and Factorising 2
- Expanding Double Brackets
- Factorising Double Brackets
- Difference of Two Squares

**Graphs:**

- 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 Equations and Inequalities:**

- 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

**Sequences:**

- Sequence Rules
- Term to Term Rules
- Position to Term Rules
- Finding the nth term
- Special Sequences

**Section 3: GEOMETRY**

**Properties and Construction:**

- 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:**

- Transformations
- Translations
- Reflections
- Rotations
- Enlargements
- Combinations
- Rotational Symmetry
- Vectors

**Pythagoras and Trigonometry:**

- Pythagoras Theorem
- Trigonometry
- Missing sides
- Missing angles
- Ratios

**Section 4: PROPORTION AND STATISTICS**

**Ratio, Proportion and Change:**

- 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:**

- Probability Experiments
- Probability Scales and Notation
- Expected Outcomes
- Mutually Exclusive Events
- Sets
- Notation
- Venn Diagrams
- Tree Diagrams

**Statistics:**

- Collecting Data
- Sampling
- Frequency Tables
- Statistical Diagrams
- Pictograms
- Bar Charts
- Pie Charts
- Histograms
- Scatter Graphs and Correlation
- Averages
- Mean
- Mode
- Median
- Range
- Grouped Data

Exams take place in May/June of each year. It is the responsibility of the student to book their exams. Exam centres will charge and the price can vary so it is wise to investigate prior to enrolment.

You can search for a list of UK exam centres here:

To achieve a GCSE in Mathematics you will be assessed across the four sections. Students will be assessed across three exam papers as detailed below:

**Paper 1 Non-Calculator:**

- Type: Written Examination
- Duration: 1 hour
- Weighting: 33.3% of A Level
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment format: A mix of question styles, from short single-mark questions to multi-step problems

**Paper 2 Calculator:**

- Type: Written Examination
- Duration: 1 hour
- Weighting: 33.3% of A Level
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment format: A mix of question styles, from short single-mark questions to multi-step problems

**Paper 3 Calculator:**

- Type: Written Examination
- Duration: 1 hour
- Weighting: 33.3% of A Level
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment format: A mix of question styles, from short single-mark questions to multi-step problems

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399.00

GCSE Maths - Foundation

GCSE Maths - Foundation

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