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GCSE ExamSolutions Maths All exams boards
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GCSE ExamSolutions Maths All exams boards
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GCSE ExamSolutions Maths All exams boards
– Topics
Algebra
Iteration
Exam Questions – Recurrence relationships
Quadratic sequences
Recurrence relationships
Definition and finding the nth term
Further simplifying of ‘stacked fractions’
Multiplication of algebraic fractions
Exam Questions – Addition & subtraction
Addition and subtraction of algebraic fractions
Exam Questions – Simplifying a rational expression
Simplifying algebraic fractions
Finding the centre and radius
Equation of a circle
Reflections of graphs
Translations of graphs
Basic graphs used in transformations
Quadratic inequalities
Solving a linear type
Rules for reversing the inequality sign
Sketching quadratic graphs
Intersection of a straight line and a hyperbola
Intersection of a straight line and a parabola
Intersection of two straight lines
Equation of a perpendicular bisector
Equation of a parallel line
Mid-point of a line segment
Distance between two points
Equation of a line given the gradient and point
Equation of a straight line: y=mx+c
Perpendicular lines
Parallel lines
Line segment
Exam Questions – Solved by the quadratic formula
Solve by the quadratic formula
Solve by completing the square
Solve by factorising
Exam Questions – Completing the square
Applications of completing the square
Completing the square
Mixed Exercise – Factorising
Factorising quadratic expressions
Factorising by grouping
Highest common factor (HCF)
Introduction to factorising
The inverse of a function
Composite functions
f(x) notation
Exam Questions
Rationalising surds
Dividing Surds
Multiplying surds
Addition and subtraction of surds
Surds- Introduction & simplifying
Summary of indices
Equations in which the power has to be found
Expressing terms in the form axn
Simplifying terms with negative powers
Rational (fractional) indices
Fractions raised to a negative index
Negative indices
Division rule for indices
Multiplication rules for indices
Introduction to indices (exponents)
Substitution methods (Quadratic SImultaneous)
Neither x term nor y term are the same
Same y terms but both signs are positive
Same y terms but both signs are negative
Same y terms but opposite signs
Same x terms
Solve by elimination
Linear Equations that are fractions
Linear Equations with brackets
Linear Equations with a two x terms
Linear Equations with a negative x term
Linear Equations with a positive x term
Terms in expressions and equations
Squaring brackets
Expanding two or more brackets
Expanding a single bracket
Geometry
Exam Question (Hard)
How to solve vector geometry problems(Hard)
Magnitude of a 2 dimensional vector
Addition and subtraction of vectors 2d
Multiplying a vector by a scalar 2d
Equal and negative vectors
Position vectors 2d
Vector notation 2d
What is a vector and a scalar quantity?
Reflections of trig graphs
Translations of trig graphs
Trigonometric graphs
Bearings – Applications of the sine and cosine rules
Cosine rule
Sine rule
Area of a triangle – Given two sides and an included angle
Trig ratios for multiples of 30°, 45° and 60°
Trigonometric ratios for 30°, 45° and 60°
Trigonometry – Right-Angled Triangles - Finding an angle
Trigonometry – Right-Angled Triangles - Finding the length of a side
Trigonometry – Right-Angled Triangles - Introduction to trigonometry
Volumes of Prisms
Circle theorems - Exam questions
Circle theorems - Part 3
Circle theorems - Part 2
Circle theorems - Part 1
Area and Arc length
Pythagoras’ Theorem
Scale factor length, surface area and volume (4 worded problems)
Scale factor of length, surface area and volume
Similar shapes
Exterior angles
Interior angles
Angles in Parallel lines
Number
The Aeroplane problem
How to use bounds to solve real world problems
Calculating the maximum and minimum
Bounds with decimal places and significant figures
Calculating upper and lower bounds
Significant Figures Challenge
Significant Figures
HCF and LCM exam questions
Using 2 or 3 Venn diagrams
How to find the HCF and LCM
Prime Factorisation
Standard Form
Probability
Venn Diagrams - Notation and defining regions
Venn Diagrams - Venn diagrams
Venn Diagrams - Algebra of sets
Probability Tree Diagrams for Dependent Events
And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
Probability Tree Diagrams for Independent Events
Tree Diagrams
Sample space diagrams
Ratios
Reverse percentages
Compound interest
Simple interest
Multipliers
Increasing / decreasing a quantity by a percentage
Calculating a percentage change
Converting a fraction to a percentage
Finding a percentage of a quantity
What is a percentage?
Ratio sharing amounts
Writing ratios in the form 1:N
Ratios
Statistics
Estimating the Median of a histogram
Finding the mean in a histogram (exam question)
Class width and height of intervals
Drawing histograms and calculating frequency density
Box Plots
Cumulative frequency curves
Exam Questions – Discrete data / mean
Calculating the mean from a frequency table
Mean for discrete data