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Maths StudyRoom


 
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Welcome to our Maths Study Room, here we have combined the knowledge of our subject specialist with a database of reviewed online resources that will help you prepare for your GCSE Mathematics Intermediate and Higher Exams and A level Pure Maths Exams based on the current Maths syllabus across the main exam board specifications.
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  GCSE Maths

 

  Algebra

Study room item 1 Solving Linear Equations, Changing the Subject of a Formula, Solving Inequalities
Study room item 2 Drawing Linear Equations, Solving Simultaneous Equations, by drawing graphs, Substitution and Elimination, Regions
Study room item 3 Expanding Brackets, Factorising Expressions and Quadratics, Solving Quadratic Equations by Factorising
Study room item 4 Linear Graphs, The General Equation of a Straight Line, Finding Equations of Straight Lines, Drawing Graphs of Non-Straight Lines / Curves, Number series and finding the nth term
Study room item 5 Graphs of Quadratic Functions and Transformations
Study room item 6 Solving Quadratic Equations - Solving quadratic equations by drawing graphs, using the formulae and factorisation, Completing the square, Solving quadratic equations by completing the square, the difference of two squares.
Study room item 7 Simplifying Algebraic Fractions.
Study room item 8 Direct and Indirect Proportionality.
Study room item 9 Graphical Solutions and the Equation of a Circle, Graphical solutions of equations, by drawing a suitable straight line, Graphical solutions of equations, by drawing a suitable graph, The equation of a circle.

  Data Handling

Study room item 1 Mean, Mode and Median from a List of Numbers, a Frequency and Group Frequency Tables
Study room item 2 Stem and Leaf Diagrams, Median, Upper and Lower Quartiles, Inter-Quartile Range from a Stem and Leaf Diagram, Frequency Polygon and Frequency Diagrams
Study room item 3 Box and Whisker Diagrams, Box - Plots, Median from a Cumulative Frequency Graph
Study room item 4 Probability, What is Probability, Writing Probability, Mutually Exclusive Events
Study room item 5 Probability, one event and more than one event, Listing Outcomes, Probability - use of OR - use of AND, Tree Diagrams
Study room item 6 Probability, the OR and AND Rules

  Number

Study room item 1 Ratios, Calculating Percentages, Simple and Compound Interest, Percentage Loss and Percentage Gain, 4 Rules of Fractions
Study room item 2 Prime Tress and Product of Primes, Highest Common Factor and Lowest Common Multiple, Correcting to Decimal Places and Significant Figure, Fractions in Order of Size, Standard Form, Calculations in Standard Form, Rules of Indicies
Study room item 3 Decimals, Indices and Surds, Decimals, Indices and Surds - Conversion of recurring decimals to vulgar fractions, The six rules of indices, The manipulation of surds, Upper and lower bounds, limits

  Shape, Space and Measures

Study room item 1 Parts of a Circle and Circle Theorems
Study room item 2 Simple Angle Facts and Areas of Plane Figures
Study room item 3 Pythagoras theorem and Trigonometric Ratios
Study room item 4 The Circle and Pi
Study room item 5 Volume, Surface Area and Dimensions of Expressions
Study room item 6 Constructions and Loci
Study room item 7 Enlargement and Similar Shapes
Study room item 8 Transformations, Enlargement, Reflection, Rotation and Translation
Study room item 9 Bearings
Study room item 10 Three-Dimensional Trigonometry.
Study room item 11 Area of triangle sector and segment, finding the angle subtended at the centre of the circle
Study room item 12 The Sine Rule
Study room item 13 The Cosine Rule
Study room item 14 Graphs of Trigonometric Functions
Study room item 15 Similar shapes. Linear Scale Factor, Area Scale Factor, Volume Scale Factor and Congruent triangles, SAS, AAS, SSS, RHS
Study room item 16 Vectors, Vectors,on square paper, Describing and drawing vectors, Vectors, on plain paper
 
 

  Maths A Level

 

  Pure Core 1

Study room item 1 Polynomials - Addition, Subtraction and Multiplication
Study room item 2 Polynomials - Factorising
Study room item 3 Completing the Square
Study room item 4 Sketching Quadratic Graphs
Study room item 5 Solving Linear and Quadratic Inequalities
Study room item 6 Solving Quadratic Equations - Fatorisation and Completing the Square
Study room item 7 Solving Quadratic Equations - Quadratic Formulae and the Discriminant
Study room item 8 Solving Simultaneous Equations - Substitution and Intersection of a line and a curve
Study room item 9 Gradient of a straight line and General Equation of a straight line
Study room item 10 Gradient, General Equation of a straight line, Parallel and Perpendicular lines
Study room item 11 Curve Sketching - Transforming Quadratic and Cubic graphs
Study room item 12 Curve Sketching - Transformation of graph y=f(x) - Drawing and Describing
Study room item 13 Sequences and Series (Part 1) - Describing Sequences, using position and nth term
Study room item 14 Sequences and Series (Part 2) - Sum of first n terms
Study room item 15 Sequences and Series (Part 3) - Sigma notation
Study room item 16 Sequences and Series (Part 4) - Arithmetic Progressions (AP)
Study room item 17 Sequences and Series (Part 5) - term to term formulae for an (AP)
Study room item 18 Sequences and Series (Part 6) - the three formulae for an (AP)
Study room item 19 Sequences and Series (Part 7) - the three formulae for an (AP)
Study room item 20 Sequences and Series (Part 8) - sum of natural numbers of an (AP)
Study room item 21 Indices (Part 1) - the six rules of indices
Study room item 22 Indices (Part 2) - Solving equations involving indices
Study room item 23 Indices (Part 3) - Solving equations with unknown powers
Study room item 24 Surds (Part 1) - Manipulation, Multiplication, Addition and Simplifying
Study room item 25 Surds (Part 2) - Rationalising the denominator
Study room item 26 Sequences and Series (Part 9) - What is a Geometric Progression, Finding the nth term, un, of a GP
Study room item 27 Sequences and Series (Part 10) - Finding the sum of the first n terms of a GP
Study room item 28 Sequences and Series (Part 11) - Finding the sum to infinity of a GP
Study room item 29 Calculus (Part 1) - The Gradient of a straight line, a curve, a tangent and dy/dx
Study room item 30 Calculus (Part 2) - Differentiation with f(x), fractional indices and negative indices
Study room item 31 Calculus (Part 3) -Finding the gradient to a point on a curve, and the equation of a tangent to a curve
Study room item 32 Calculus (Part 4) - Tangent and Normal, finding the coordinates of a point on the curve with a given gradient, and the equation of a normal to a curve
Study room item 33 Calculus (Part 5) - Integration, and Integrating functions
Study room item 34 Calculus (Part 6) - More Integration, and integrating harder functions
Study room item 35 Calculus (Part 7) - Finding the constant of integration, and the general and particular solution for a curve given the gradient function

  Pure Core 2

Study room item 1 Trigonometry (Part 1) - Labelling the triangle, Using the Sine Rule to find a side, and an angle
Study room item 2 Trigonometry (Part 2) - Sine rule, the ambiguous case
Study room item 3 Trigonometry (Part 3) - Using the Cosine Rule to find a side, and an angle
Study room item 4 Trigonometry (Part 4) - Radians and degrees, Finding the length of an arc and area of a sector, using radians

  Pure Core 3

Study room item 1 Algebra Fractions (Part 1) - Simplifying algebraic fractions
Study room item 2 Algebra Fractions (Part 2) - Addition, Subtraction, Multiplication and Division of Algebraic Fractions
Study room item 3 Algebra Fractions (Part 3) - Improper Fractions and Division of Polynomials
Study room item 4 Functions (Part 1) - Finding a rule, The Domain and Range and Types of functions
Study room item 5 Functions (Part 2) - Function defined by a discrete domain, and Function defined by a continuous domain
Study room item 6 Functions (Part 3) - Simple problems and Function notation
Study room item 7 Functions (Part 4) - Combining functions
Study room item 8 Functions (Part 5) - The inverse function
Study room item 9 Exponentials and Logarithims (Part 1) - Exponential functions and their graphs
Study room item 10 Exponentials and Logarithims (Part 2) - Exponential growth/decay the inverse of ex, and Solving equations with inverses
Study room item 11 Exponentials and Logarithims (Part 3) - Sketching and Transforming exponential function graphs
Study room item 12 Exponentials and Logarithims (Part 4) - Graphs of exponential functions and their inverses
Study room item 13 Numerical Methods (Part 1) - Numerical methods, graphical solutions, and the changing of the sign of a function f(x)
Study room item 14 Numerical Methods (Part 2) - Graphical solutions, Intersection of 2 graphs
Study room item 15 Numerical Methods (Part 3) - The Iterative process and finding and using an Iterative formula
Study room item 16 Numerical Methods (Part 4) - Solving a quadratic equation by iteration
Study room item 17 Numerical Methods (Part 5) - Solving a cubic equation by iteration
Study room item 18 Numerical Methods (Part 6) - Solving a cubic equation by iteration (continued)
Study room item 19 Numerical Methods (Part 7) - Solving other equations by iteration
Study room item 20 Transforming graphs of functions (Part 1) - The Modulus Function
Study room item 21 Transforming graphs of functions (Part 2) - Solving equations involving a modulus
Study room item 22 Transforming graphs of functions (Part 3) - Transformations of the graph y = f(x), and Combinations of 2 or more Transformations
 
 

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