# Copy of GCSE Mathematics

##### by Mr Barker 06/20/2017

## Copy of GCSE Mathematics

by Mr Barker## 1. Probability

### 1.1. Experimental and Theoretical Probability

1.1.1. Sample Space

1.1.2. Two way tables

1.1.3. Powerpoint with questions

1.1.4. Past Paper Questions and Answers

1.1.5. 9-1 Style Questions and Answers

1.1.6. Spec Point- construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

1.1.7. MyMaths link

### 1.2. Tree Diagrams and Frequency Trees

1.2.1. Frequency Trees

1.2.2. Tree Diagrams

1.2.3. Powerpoint with questions

1.2.4. Spec Point- calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions

1.2.5. MyMaths link - Tree Diagrams

1.2.6. MyMaths link- Frequency Trees

### 1.3. Venn Diagrams

1.3.1. Introduction to Venn

1.3.1.1. Example of Venn

1.3.1.1.1. 3 set problem

1.3.2. Powerpoint and answers to Practise Questions

1.3.3. Practise Questions

1.3.4. Edexcel Revision Booklet

1.3.5. 9-1 Style Questions and Answers

1.3.6. MyMaths link

## 2. Ratio, Proportion and Rate of Change

### 2.1. Compound Units

2.1.1. Density

2.1.1.1. Speed

2.1.2. Conversion

2.1.3. Powerpoint- Units

2.1.4. Past Paper Questions and Answers

2.1.5. MyMaths link- Algebra with Compound Measures

2.1.6. MyMaths link- Converting Compound Measures

2.1.7. MyMaths link- Density

2.1.8. MyMaths link- Speed

2.1.9. Spec Point- change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts

### 2.2. Direct and Inverse Proportion

2.2.1. Direct and Inverse Proportion

2.2.2. Powerpoint

2.2.3. Exam Style Questions and Answers

2.2.4. Past Paper Questions and Answers

2.2.5. MyMaths link

2.2.6. Spec point- solve problems involving direct and inverse proportion, including graphical and algebraic representations

### 2.3. Ratio

2.3.1. Dividing into Ratios

2.3.2. Powerpoint

2.3.3. Past Paper Questions and Answers - Ratio

2.3.4. Past Paper Questions and Answers- Proportion Recipes

2.3.5. 9-1 Style Questions and Answers

2.3.6. MyMaths link- Unitary Method

2.3.7. MyMaths link- Dividing into Ratio

2.3.8. Spec point- divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio; apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)

### 2.4. Compound Interest- Growth and Decay

2.4.1. Compount Interest

2.4.1.1. Growth and Decay

2.4.2. 9-1 Style Questions and Answers

2.4.3. MyMaths link- Compound Interest

### 2.5. Rate of Change (Covered in Algebra-Graphs)

### 2.6. Percentage Change (Covered in Number Section)

## 3. Algebra

### 3.1. Notation, Vocabulary and Manipulation

3.1.1. Expanding Brackets

3.1.1.1. Expanding Single Brackets

3.1.1.1.1. Expanding Two or More Brackets

3.1.1.2. Powerpoint

3.1.1.3. Expanding Cubics Revision Booklet

3.1.1.4. MyMaths link- Factorising linear

3.1.1.5. MyMaths link- Factorising Quadratics 1

3.1.1.6. MyMaths link- Factorising Quadratics 2

3.1.2. Factorising into Brackets

3.1.2.1. Factoring Single Brackets and longer Expressions

3.1.2.1.1. Factorising- Grouping

3.1.2.2. Factorising Quadratics - By Inspection

3.1.2.2.1. Factorising Quadratics- Splitting the middle term

3.1.2.3. Powerpoint

3.1.2.4. Past paper questions and answers

3.1.2.5. 9-1 Style Questions and Answers

3.1.2.6. Spec point- simplify and manipulate algebraic expressions by: ● collecting like terms ● multiplying a single term over a bracket ● taking out common factors ● expanding products of two binomials ● factorising quadratic expressions of the form x2 + bx + c, including the difference of two squares;

3.1.3. Expressions and Formulae

3.1.3.1. Collecting Like terms

3.1.3.2. Powerpoint

3.1.3.3. MyMaths link- Simplifying 1

3.1.3.4. MyMaths link- Simplifying 2

3.1.3.5. Spec point- Use and interpret algebraic manipulation, including: • ab in place of a × b • 3y in place of y + y + y and 3 × y • a2 in place of a × a, a3 in place of a × a × a, a2b in place of a × a × b • coefficients written as fractions rather than as decimals • brackets Substitute numerical values into formulae and expressions, including scientific formulae Understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors

3.1.4. Rearranging Formulae

3.1.4.1. Changing the Subject

3.1.4.2. Powerpoint

3.1.4.3. Past Paper Questions and Answers

3.1.4.4. 9-1 Style Questions and Answers

3.1.4.5. MyMaths link- Rearranging 1

3.1.4.6. MyMaths link- Rearranging 2

3.1.4.7. Spec Point- understand and use standard mathematical formulae; rearrange formulae to change the subject

3.1.5. Algebraic Fractions

3.1.5.1. Simplifying Algebraic Fractions

3.1.5.1.1. Multiplying and Dividing Algebraic Fractions

3.1.5.2. Powerpoint

3.1.5.3. Exam Style Practise Questions- Adding

3.1.5.4. Exam Style Practise Questions- Dividing

3.1.5.5. Exam Style Practise Questions- Multiplying

3.1.5.6. Exam Stlye Practise Questions- Simplifying

3.1.5.7. 9-1 Style Questions and Answers

3.1.5.8. MyMaths link- Adding Algebraic Fractions

3.1.5.9. MyMaths link- Simplifying Algebraic Fractions

3.1.5.10. MyMaths link- Multiplying/Dividing Algebraic Fractions

3.1.6. *New Topic* Functions

3.1.6.1. Composite Functions

3.1.6.1.1. Inverse Functions

3.1.6.2. Powerpoint

3.1.6.3. Exam Stlye Practise Questions and Answers

3.1.6.4. Revision Booklet

3.1.6.5. MyMaths link- Function Notation

3.1.6.6. MyMaths link- Composite and Inverse Functions

3.1.6.7. Spec point- where appropriate, interpret simple expressions as functions with inputs and outputs; interpret the reverse process as the ‘inverse function’; interpret the succession of two functions as a ‘composite function’ (the use of formal function notation is expected)

### 3.2. Solving Equations

3.2.1. Linear

3.2.1.1. Video Help-Solving Linear Equations (Brackets) (There are many videos on all different types of solving equation questions if you open the video up in Youtube)

3.2.1.1.1. Video Help- Solving Linear Equations (Fractions)

3.2.1.2. Powerpoint with questions

3.2.1.3. Past Paper Questions

3.2.1.4. Spec point- solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph

3.2.1.5. MyMaths link- Brackets

3.2.1.6. MyMaths link- Level 8 with equations with fractions

3.2.2. Quadratic

3.2.2.1. Solving Quadratics by Completing the Square

3.2.2.1.1. Solving Quadratics by using the Formula

3.2.2.2. Quadratic Formula Song

3.2.2.3. Powerpoint- Solving Quadratics

3.2.2.4. Powerpoint- Sketching Quadratics

3.2.2.5. Past Paper Questions and Answers- Fomula

3.2.2.6. Past Paper Questions and Answers- Factorising

3.2.2.7. Past Paper Questions and Answers- Completing the Square

3.2.2.8. Spec point- identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically by factorising, completing the square and using the fomula

3.2.2.9. MyMaths link- Solving Quadratics with Fractions

3.2.2.10. MyMaths link- Solving Quadratics by Factorising

3.2.2.11. MyMaths link- Solving quadratics by plotting the graph

3.2.2.12. Revision Booklet- Deducing Turning Points of Quadratics

3.2.3. Simultaneous Equations

3.2.3.1. Solving Simultaneous Equations-Elimination Method

3.2.3.1.1. Solving Simultaneous Equations- Substitution Method

3.2.3.2. Powerpoint- Linear

3.2.3.3. Powerpoint- Quadratic

3.2.3.4. Past Paper Linear Questions and Answers

3.2.3.5. Exam Style Practise Questions- Quadratic

3.2.3.6. 9-1 Style Questions and Answers

3.2.3.7. Spec point- Solve two simultaneous equations in two variables (linear/linear algebraically; find approximate solutions using a graph . Translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution

3.2.3.8. MyMaths link- Linear

3.2.3.9. MyMaths link- Solving Graphically

3.2.3.10. MyMaths link- Quadratic

3.2.4. Forming and Solving Equations

3.2.4.1. Forming and Solving Equations PPQ

3.2.4.2. 9-1 Style Questions and Answers

### 3.3. Graphs

3.3.1. Curved Graphs

3.3.1.1. Powerpoint- Quadratic, Cubics, Reciprocals, Exponentials and Circles

3.3.1.2. Past Paper Questions on Drawing Quadratics

3.3.1.3. Spec point- recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function.

3.3.2. Straight Lines

3.3.2.1. y=mx+c

3.3.2.1.1. Perpindicular lines

3.3.2.2. Powerpoint- Includes Perpindicular Lines

3.3.2.3. Exam Style Questions and Answers

3.3.2.4. MyMaths link 1

3.3.2.5. MyMaths link 2

3.3.2.6. Spec point- plot graphs of equations that correspond to straight-line graphs in the coordinate plane; use the form y = mx + c to identify parallel lines; find the equation of the line through two given points or through one point with a given gradient A10 identify and interpret gradients and intercepts of linear functions graphically and algebraically

3.3.3. Circles and Tangents

3.3.3.1. Circles and Tangents

3.3.3.2. Powerpoint

3.3.3.3. Practise Exam type Questions

3.3.3.4. Exam Style Questions and Answers

3.3.3.5. 9-1 Style Questions and Answers

3.3.4. Kinematic Graphs

3.3.4.1. Speed and Density calculations are covered under Ratio- Compount Units

3.3.4.2. Past Paper Questions and Answers- Distance Time Graphs

3.3.4.3. Practise Questions and Answers - Velocity Time Graphs

3.3.4.4. MyMaths link

3.3.4.5. Spec point- plot and interpret graphs (including reciprocal graphs) and graphs of non-standard functions in real contexts to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration

3.3.5. *New Topic* Gradients and Areas under Graphs

3.3.5.1. *Use the booklets as a good source to look over this topic*

3.3.5.2. Powerpoint

3.3.5.3. Revision Booklet- Area under Graphs

3.3.5.4. Revision Booklet- Gradients of Graphs and Rate of Change

3.3.5.5. 9-1 Style Questions and Answers

3.3.5.6. MyMaths link- Gradients of Tangents

3.3.5.7. MyMaths link- Area under a graphs

3.3.5.8. Spec point- calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts (this does not include calculus)

### 3.4. Inequalities

3.4.1. Linear

3.4.1.1. Solving Inequalities

3.4.1.1.1. Video Help- Solving Linear Inequalities

3.4.1.1.2. Powerpoint with questions

3.4.1.1.3. Past Paper Questions with Answers

3.4.1.1.4. MyMaths link

3.4.1.2. Graphing Inequalities

3.4.1.2.1. Video Help- Graphing Inequalities

3.4.1.2.2. Powerpoint with questions

3.4.1.2.3. Past Paper Questions and Answers

3.4.1.2.4. MyMaths link

3.4.2. Quadratic

3.4.2.1. Video Help- Quadratic Inequalities Intro

3.4.2.1.1. Video Help- Harder Quadratic Inequalities

3.4.2.2. Powerpoint with questions

3.4.2.3. Exam Style Questions and Answers

3.4.2.4. Revision Booklet

3.4.3. Spec point- solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph

### 3.5. Sequences

3.5.1. Linear

3.5.1.1. Video Help- Nth Term

3.5.1.2. Powerpoint with questions

3.5.1.3. Past Paper Questions and Answers

3.5.1.4. Spec Point- generate terms of a sequence from either a term-to-term or a position-to term rule

3.5.1.5. MyMaths link

3.5.2. Quadratic

3.5.2.1. Video Help- Quadratic sequences

3.5.2.2. Powerpoint with questions

3.5.2.3. Exam Style Questions and Answers

3.5.2.4. Revision Booklet

3.5.2.5. Spec Point- deduce expressions to calculate the nth term of linear and quadratic sequences

3.5.2.6. MyMaths link

3.5.3. Special Sequences

3.5.3.1. Revision Booklet

3.5.4. Geometric Progressions

3.5.4.1. Revision Booklet

3.5.4.2. MyMaths link

3.5.5. 9-1 Style Questions and Answers

3.5.6. Specifiication point- recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (rn where n is an integer, and r is a rational number > 0 or a surd)

### 3.6. *New Topic* Iteration

3.6.1. Video Help- Iterations

3.6.1.1. Video Help- Interval Bisection

3.6.2. Powerpoint

3.6.3. Practise Questions with answers

3.6.4. 9-1 Style Questions and Answers

3.6.5. Revision Booklet

3.6.6. MyMaths link

### 3.7. Algebraic Proof

3.7.1. Algebraic Proof

3.7.2. Past Paper Questions and Answers

3.7.3. 9-1 Stlye Questions and Answers

3.7.4. MyMaths link- Identities

3.7.5. MyMaths link- Proof

## 4. Number

### 4.1. Structure and Calculation

4.1.1. Surds

4.1.1.1. Intro and Simplifying Surds

4.1.1.1.1. Rationalising the denominator

4.1.1.2. Powerpoint

4.1.1.3. Past Paper Questions and Answers

4.1.1.4. More Exam Style Questions and Answers

4.1.1.5. 9-1 Style Questions and Answers

4.1.1.6. MyMaths link- Intro to Surds

4.1.1.7. MyMaths link- Multiplying and Rationalising

4.1.2. Indices

4.1.2.1. Multiplication and Division

4.1.2.1.1. Negative and Fractional Powers

4.1.2.2. Powerpoint

4.1.2.3. Exam Style Questions and Answers- First 3 laws

4.1.2.4. Past Paper Questions and Answers- Negative and Fractional Powers

4.1.2.5. MyMaths link- First 3 laws

4.1.2.6. MyMaths link- Negative Indices

4.1.2.7. MyMaths link- Fractional Indices

4.1.2.8. MyMaths link- Changing the base

4.1.3. Standard Form

4.1.3.1. gcse maths standard form

4.1.3.2. Powerpoint

4.1.3.3. Past Paper Questions and Answers

4.1.3.4. 9-1 Style Questions and Answers

4.1.3.5. Spec point- calculate with and interpret standard form A × 10n, where 1 ≤ A < 10 and n is an integer

4.1.3.6. MyMaths link- Calculations

4.1.3.7. MyMaths link- Large Numbers

4.1.3.8. MyMaths link- Small Numbers

4.1.4. Highest Common Factor, Lowest Common Multiple and Prime Factorisation

4.1.4.1. Prime Factorisation

4.1.4.1.1. HCF and LCM

4.1.4.2. Powerpoint (Extra topics included: Squares, cubes, divisibility rules)

4.1.4.3. Exam Style Questions and Answers

4.1.4.4. Spec point- use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem

4.1.4.5. MyMaths link- HCF

4.1.4.6. MyMaths link- LCM

4.1.5. Combinations and Systematic Listing

4.1.5.1. Combinations

4.1.5.2. 9-1 Style Questions and Answers

4.1.5.3. Spec Point- N5 apply systematic listing strategies

### 4.2. Fractions, Decimals and Percentages

4.2.1. Fractions

4.2.1.1. Adding and Subtracting Fractions

4.2.1.1.1. Multiplying and Dividing Fractions

4.2.1.2. Powerpoint

4.2.1.3. Exam style questions- Multiplying and Dividing

4.2.1.4. Exam Style Questions- Adding and Subtracting

4.2.1.5. 9-1 Style Questions and Answers

4.2.1.6. Spec point- apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers

4.2.1.7. MyMaths link- Dividing Fractions

4.2.1.8. MyMaths link- Multiplying Fractions

4.2.1.9. MyMaths link- Adding and Subtracting Fractions

4.2.2. Converting Fractions Decimals and Percentages

4.2.2.1. Video Help

4.2.2.2. Powerpoint

4.2.2.3. Exam Style Questions and Answers

4.2.2.4. Spec point work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8)

4.2.2.5. MyMaths link-

4.2.3. Recurring Decimals into Fractions

4.2.3.1. Recurring Decimals

4.2.3.2. Powerpoint

4.2.3.3. Exam Style Questions and Answers

4.2.3.4. 9-1 Style Questions and Answers

4.2.3.5. MyMaths link- Recurring Decimals

4.2.3.6. Spec point- work interchangeably with terminating decimals and their corresponding fractions , change recurring decimals into their corresponding fractions and vice versa.

4.2.4. Percentage Change/Reverse

4.2.4.1. Reverse Percentages

4.2.4.1.1. Percentage Change

4.2.4.2. Powerpoint

4.2.4.3. Percentage Revision

4.2.4.4. Exam Style Questions and Answers

4.2.4.5. 9-1 Style Questions and Answers - Percentage Change

4.2.4.6. 9-1 Style Questions and Answers - Reverse Percentages

4.2.4.7. MyMaths link- Compound Interest

4.2.4.8. MyMaths link- Reverse Percentages

### 4.3. Measures and Accuracy

4.3.1. Bounds

4.3.1.1. Bounds Intervals using Inequalities

4.3.1.1.1. Bounds Calculations

4.3.1.2. Powerpoint

4.3.1.3. Past Paper Questions and Answers

4.3.1.4. Revision Booklet

4.3.1.5. 9-1 Style Questions and Answers

4.3.1.6. MyMaths link- Upper and Lower Bounds

4.3.1.7. MyMaths link- Calculating with Bounds

4.3.2. Estimation

4.3.2.1. Rounding to SF and DP

4.3.2.2. Powerpoint

4.3.2.3. Exam Style Questions and Answers

4.3.3. Spec point- round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); use inequality notation to specify simple error intervals due to truncation or rounding . Apply and interpret limits of accuracy, including upper and lower bounds

## 5. Geometry and Measures

### 5.1. Constructions and Loci

5.1.1. Video Help

5.1.2. Powerpoint with answers for worksheet

5.1.3. Worksheet of key questions

5.1.4. Exam Style Questions and Answers

5.1.5. Spec point- use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line

### 5.2. Vectors

5.2.1. Video Help

5.2.2. Powerpoint

5.2.3. Past Paper Questions and Answers

5.2.4. 9-1 Style Questions and Answers

5.2.5. Spec point- apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors

5.2.6. MyMaths link- adding and subtracting vectors

5.2.7. MyMaths link- reading and geometric proof

### 5.3. Circle Theorems

5.3.1. Video Help- Theorems

5.3.2. Video Help- Proofs

5.3.3. Powerpoint

5.3.4. Past Paper Questions and Answers

5.3.5. Exam Style Questions- Circle Theorems Proofs

5.3.6. 9-1 Style Questions and Answers

5.3.7. Spec Point- Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment - Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results

5.3.8. MyMaths link- Theorems

5.3.9. MyMaths link- Proofs

### 5.4. Trigonometry

5.4.1. Right Angled Triangles

5.4.1.1. Pythagoras

5.4.1.1.1. Video Help

5.4.1.2. SOHCAHTOA

5.4.1.2.1. Video Help- Finding a Side

5.4.1.3. Powerpoint with questions

5.4.1.4. Exam Style Questions and Answes

5.4.1.5. 9-1 Style Questions and Answers- Trig

5.4.1.6. 9-1 Style Questions and Answers- Pythagoras

5.4.1.7. Spec Point- know the formulae for: Pythagoras’ theorem a2 + b2 = c2, and the trigonometric ratios, sin θ=opposite/hypotenuse cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent ; apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures -know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60°

5.4.1.8. MyMaths link - Pythagoras

5.4.1.9. MyMaths link- SOHCAHTOA

5.4.1.10. MyMaths link- Special Angles

5.4.2. Non- Right Angled Triangles

5.4.2.1. SINE and COSINE Rule

5.4.2.1.1. Video Help- Sine Rule (Finding a length)

5.4.2.1.2. Video Help- Sine Rule (Finding an angle)

5.4.2.2. Area of a Triangle

5.4.2.2.1. Video Help

5.4.2.3. Powerpoint with questions

5.4.2.4. Exam Style Questions and Answers

5.4.2.5. 9-1 Style Questions and Answers

5.4.2.6. Spec Point

5.4.2.7. MyMaths link- Sine Rule

5.4.2.8. MyMaths link- Cosine Rule Angle

5.4.2.8.1. MyMaths link- Cosine Rule Sides

5.4.2.9. MyMaths link- Area of Triangle

5.4.3. Trigonometry Exact Values

5.4.3.1. Trig Exact Values

5.4.3.2. Exam Style Questions and Answers

5.4.3.3. 9-1 Style Questions and Answers

5.4.3.4. MyMaths link-

5.4.3.5. Spec Point- know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60°. Knowledge of how to find exact values from the triangles is key.

5.4.4. 3D Trigonometry

5.4.4.1. 3D Trig

5.4.4.2. Practise Questions and Answers

5.4.4.3. Exam Style Questions and Answers

5.4.4.4. MyMaths link- First 5 parts only

### 5.5. Transformations

5.5.1. 2D Shapes

5.5.1.1. Translations

5.5.1.2. Rotations

5.5.1.3. Reflections

5.5.1.4. Englargements

5.5.1.4.1. Negative and Fractional Enlargements

5.5.1.5. Powerpoint

5.5.1.6. Past Paper Questions and Answers

5.5.1.7. Spec point- identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional and negative scale factors)

5.5.1.8. MyMaths link-

5.5.2. Functions

5.5.2.1. Translations

5.5.2.1.1. Reflections

5.5.2.2. Powerpoint

5.5.2.3. Past Paper Questions and Answers (Skip 2b 4b 5b 7c as not on spec)

5.5.2.4. Exam Style Questions and Answers (Ignore questions that are e.g. 2f(x) or f(2x) )

### 5.6. Polygons and Angles in Parallel Lines

5.6.1. Angles in Parallel lines

5.6.1.1. Interior and Exterior Angles

5.6.2. Powerpoint

5.6.3. Past paper Questions and Answers

5.6.4. 9-1 Style Questions and Answers- Parallel lines

5.6.5. Exam Style Questions and Answers- Polygons

5.6.6. MyMaths link- Angles in Parallel Lines

5.6.7. MyMaths link- Interior and Exterior Angles

5.6.8. Spec point- apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles; understand and use alternate and corresponding angles on parallel lines; derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons)

### 5.7. 3D Shapes

5.7.1. 3D Surface Area

5.7.1.1. 3D Volumes

5.7.2. Practise Questions and Answers

5.7.3. Powerpoint- Similarity and Scale Factors

5.7.4. Powerpoint- Volumes and Surface Areas

5.7.5. Exam Style Questions and Answers- Sphere

5.7.6. Exam Style Questions Area and Volume Scale Factor

5.7.7. 9-1 Style Questions and Answers- Similarity and Congruence

5.7.8. 9-1 Style Questions and Answers- Volumes

5.7.9. MyMaths link- Volumes of Cylinder

5.7.10. MyMaths link- Volumes of Prisms

5.7.11. MyMaths link- Volumes of Cones and Spheres

### 5.8. 2D Shapes

5.8.1. Congruent Shapes

5.8.1.1. Congruent Triangle

5.8.1.2. Powerpoint

5.8.1.3. Practise Questions and Answers

5.8.1.4. MyMaths link-

5.8.2. Area and Permiter

5.8.2.1. Area and Perimeter

5.8.2.1.1. Areas of Sectors and Segments

5.8.2.2. Powerpoint

5.8.2.3. Past paper questions and answers

5.8.2.4. Past Paper Questions and Answers- Area of Sectors and Arc Lengths

5.8.2.5. 9-1 Style Questions and Answers- Area of Sectors and Arc Lengths

5.8.2.6. MyMaths link- arcs and sectors

## 6. Statistics

### 6.1. Grouped and Continuous Data

6.1.1. Video Help

6.1.2. Powerpoint

6.1.3. Past Paper Questions and Answers

6.1.4. Exam Style Questions and Answers - Median and Quartiles

6.1.5. MyMaths link

### 6.2. Charts and Averages

6.2.1. Video Help- MMMR from Frequency Tables

6.2.2. Video Help- Pie Charts

6.2.3. Powerpoint

6.2.4. Past Paper Questions and Answers - Pie Charts and MMMR

6.2.5. Exam Style Questions and Answers - Estimated Mean

6.2.6. Spec point- interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data, appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers, quartiles and inter-quartile range)

6.2.7. MyMaths link

### 6.3. Sampling

6.3.1. Video Help

6.3.2. Powerpoint

6.3.2.1. Questions

6.3.3. Spec point- infer properties of populations or distributions from a sample, while knowing the limitations of sampling, apply statistics to describe a population

6.3.4. Past Paper Questions and Answers - Stratified Sampling

6.3.5. Exam Style Questions and Answers - Stratified Sampling

6.3.6. MyMaths link

### 6.4. Cumulative Frequency and Box Plots

6.4.1. Video Help 1

6.4.1.1. Video Help 2

6.4.2. Powerpoint- Frequency Polygons and Quartiles added.

6.4.3. Past Paper Questions and Answers

6.4.4. Exam Style Questions and Answers

6.4.5. 9-1 Style Questions and Answers- Cumulative Frequency

6.4.6. 9-1 Style Questions and Answers- Box Plots

6.4.7. Spec Point- ● appropriate graphical representation involving discrete, continuous and grouped data, including box plots ● appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers, quartiles and inter-quartile range)

6.4.8. MyMaths link

### 6.5. Scatter Diagrams

6.5.1. Video Help

6.5.2. Powerpoint

6.5.3. Spec Point- use and interpret scatter graphs of bivariate data; recognise correlation and know that it does not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends while knowing the dangers of so doing

6.5.4. MyMaths link

6.5.5. Past Paper Questions

### 6.6. Histograms

6.6.1. Video Help

6.6.1.1. Histograms - Unequal Class Widths

6.6.2. Powerpoint

6.6.3. Past Paper Questions and Answers

6.6.4. Exam Style Questions and Answers

6.6.5. 9-1 Style Questions and Answers

6.6.6. Spec Point- construct and interpret diagrams for grouped discrete data and continuous data, i.e. histograms with equal and unequal class intervals

6.6.7. MyMaths link

## 7. Specification

## 8. Useful Websites- 1) https://www.mymaths.co.uk/ Very useful for step by step lessons and interactive worksheets. Lessons are embedded into the different areas of the mindmap. 2) http://www.examsolutions.net/gcse-maths/ Videos that talk you through key areas on a wide range of the GCSE Specification. Videos from this website are embedded throughout the mindmap. 3) http://mrcartermaths.com/# Differentiated questions (Bronze/Silver/Gold) that allows you to practise fluency of key skills. 4) http://www.mathsgenie.co.uk/gcse.html 1-9 levels broken down into topics related to each level. Comes with revision videos and practise questions (mostly past paper questions) with solutions. 5) https://corbettmaths.com/ Website that has hundreds of 5-a-days to practise a range of skills each day that target different levels- answers are with the '5 a days A*-G' only. Very useful section of topics broken down alphabetically with a huge number of fluency practise of skills. 6) http://mrbartonmaths.com/students/gcse/ A great website that breaks down topics and allows users to revise, practise and understand topics. It has the GCSE takeaway section which is past paper questions and multiple choice quizzes for each topic. 7) http://mathsbot.com/gcseRevisionGrid This website and this specific section generates 'higher' questions with answers instantaneously, similar to the 5-a-days but more working required to get an answer. The websites aren't in any order, they are free and checked thoroughly for usefulness- allowing students to enhance their skills, knowledge and understanding of the GCSE Specification. If you are not sure on how to use any of the websites then please ask Mr Barker.

## 9. GCSE Revision Section (Under Construction)

### 9.1. Main Revision Booklet

### 9.2. Key Formulas you MUST learn

### 9.3. Higher Topic 9-1 Checklist

### 9.4. Aiming for Grade Booklets

9.4.1. Aiming for Grade 5 and Answers

9.4.2. Aiming for Grade 7 and Answers

9.4.3. Aiming for Grade 9 and Answers

### 9.5. 'Grade 9' Papers- note: these do not claim to be a grade 9 paper, it contains questions which need a variety of skills to solve.

9.5.1. Calculator Paper

9.5.2. Non Calc Paper