GCSE Foundation Mathematics inc Exams

AQA specification 8300

Section 1

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
• 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

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
• Functions
• 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