Mathematics With Woody

7.1 Algebraic Proof

7.1 Quiz

7.2 Identities

7.2 Quiz

7.3 Inequalities

7.4 Proof by Exhaustion

7.5 Proof by Counterexample

7.5 Quiz

7.6 Fun Geometric Proof

Proof - Exam Questions

8.1 The Choose Function - Intro

8.1 Quiz

8.2 A Choose Function Puzzle

8.3 Binomial Expansion (Part 1)

8.4 Binomial Expansion (Part 2)

8.4 Quiz

8.5 Ascending Powers of x

8.5 Quiz

8.6 Binomial Problem Solving

8.6 Quiz

8.7 Binomial Estimation

8.7 Quiz

Binomial Expansion - Exam Questions

9.1 The Sine Rule: Lengths

9.1 Quiz

9.2 The Sine Rule: Angles

9.2 Quiz

9.3 The Cosine Rule: Lengths

9.3 Quiz

9.4 The Cosine Rule: Angles

9.4 Quiz

9.5 The Cosine Rule: Algebraic Problems

9.6 The Area of a Triangle

9.6 Quiz

9.7 The Sine Graph

9.8 The Cosine Graph

9.9 The Tan Graph

9.7/9.8/9.9 Quiz

9.10 Transformations of Trig Graphs

9.11 Applications of Transformations

9.10/9.11 Quiz

Trigonometry - Triangles and Graphs - Exam Questions

10.1 Multiple Sine Solutions

10.1 Quiz

10.2 Multiple Cosine Solutions

10.2 Quiz

10.3 Multiple Tan Solutions

10.3 Quiz

10.4 Trig Identities

10.5 Solving Trig Equations With the Tan Identity

10.5 Quiz

10.6 Solving Quadratic Trig Equations (Part 1)

10.7 Solving Quadratic Trig Equations (Part 2)

10.6/10.7 Quiz

10.8 Further Trig Equations (Part 1)

10.9 Further Trig Equations (Part 2)

10.8/10.9 Quiz

10.10 Proving Trig Identities (Part 1)

10.11 Proving Trig Identities (Part 2)

Trigonometry - Equations and Identities - Exam Questions

11.1 Vector Notation

11.1 Quiz

11.2 Comparing Coefficients

11.2 Quiz

11.3 Magnitude and Direction

11.3 Quiz

11.4 Position Vectors

11.4 Quiz

11.5 Geometric Vector Problems (Part 1)

11.6 Geometric Vector Problems (Part 2)

11.7 Geometric Vector Proof

Vectors - Exam Questions

12.1 Gradients of Curves

12.2 First Principles at a Point

12.2 Quiz

12.3 First Principles in General

12.4 The x^n Rule

12.4 Quiz

12.5 Differentiating Simple Polynomials

12.5 Quiz

12.6 Differentiating Negative Powers

12.6 Quiz

12.7 Differentiating Fractional Powers

12.7 Quiz

12.8 Differentiating Mixed Functions

12.8 Quiz

12.9 Using Gradient Functions

12.9 Quiz

12.10 Tangents and Normals (Part 1)

12.11 Tangents and Normals (Part 2)

12.10/12.11 Quiz

12.12 Increasing and Decreasing Functions

12.12 Quiz

12.13 Stationary Points

12.13 Quiz

12.14 Second Derivatives

12.14 Quiz

12.15 Sketching Gradient Functions

12.16 Optimisation (Part 1)

12.17 Optimisation (Part 2)

12.18 Calculator Use

Differentiation - Exam Questions

13.1 Integration Intro

13.1 Quiz

13.2 Finding Functions

13.2 Quiz

13.3 Areas

13.3 Quiz

13.4 Areas Under the X-Axis

13.4 Quiz

13.5 Areas Between Functions

13.5 Quiz

13.6 Integration Problem Solving (Part 1)

13.7 Integration Problem Solving (Part 2)

13.8 Integration Problem Solving (Part 3)

13.6/13.7/13.8 Quiz

13.9 Calculator Use

13.10 Why Integration Gives Area

Integration - Exam Questions

14.1 Exponentials Intro

14.1 Quiz

14.2 The Exponential Function

14.2 Quiz

14.3 Differentiating e^x

14.3 Quiz

14.4 Exponential Modelling

14.4 Quiz

14.5 Logarithms Intro

14.5 Quiz

14.6 Simplifying Logs

14.7 Log Laws

14.8 Using the Log Laws

14.8 Quiz

14.9 Log Equations (Part 1)

14.9 Quiz

14.10 Log Equations (Part 2)

14.10 Quiz

14.11 The Natural Log

14.11 Quiz

14.12 Graphs of Logs

14.12 Quiz

14.13 Non-Linear Data - Exponential Models

14.13 Quiz

14.14 Non-Linear Data - Polynomial Models

14.14 Quiz

14.15 Non-Linear Data - Exam Question

14.15 Quiz

Exponentials and Logarithms - Exam Questions

2.1 Inter-Quartile Range

2.2 Inter-Quartile Range Examples

2.1/2.2 Quiz

2.3 Inter-Quartile Range - Applications

2.4 Linear Interpolation to Find the IQR

2.4 Quiz

2.5 Standard Deviation Method 1

2.5 Quiz

2.6 Standard Deviation Method 2

2.6 Quiz

2.7 Standard Deviation - For MEI Students

2.8 Using the Calculator to Find Standard Deviation

2.8 Quiz

2.9 Variance

2.10 Standard Deviation from Grouped Data

2.10 Quiz

2.11 Bonus: Proving the Two Standard Deviation formulae Are the Same

3.1 Merging Data - Means

3.1 Quiz

3.2 Merging Data - Standard Deviations

3.2 Quiz

3.3 Coding Data (Part 1)

3.4 Coding Data (Part 2)

3.3/3.4 Quiz

4.1 Outliers

4.1 Quiz

4.2 Outliers - an Alternative Definition

4.3 Boxplots

4.3 Quiz

4.4 Skew

4.4 Quiz

4.5 Cumulative Frequency Graphs

4.5 Quiz

4.6 Histograms - Drawing

4.7 Histograms - Interpreting

4.7 Quiz

4.8 Histograms - Dimensions and Problem Solving

4.8 Quiz

Data Analysis - Exam Questions

5.1 Regression

5.1 Quiz

5.2 Correlation

5.2 Quiz

6.1 Venn Diagrams (Part 1)

6.1 Quiz

6.2 Venn Diagrams (Part 2)

6.2 Quiz

6.3 Independent Events (Part 1)

6.3 Quiz

6.4 Independent Events (Part 2)

6.4 Quiz

6.5 Mutually Exclusive Events

6.5 Quiz

6.6 Tree Diagrams

6.6 Quiz

Probability - Exam Questions

7.1 Introduction to the Binomial Distribution

7.2 The Binomial Formula (Part 1)

7.2 Quiz

7.3 The Binomial Formulae (Part 2)

7.3 Quiz

7.4 Conditions for Using the Binomial Distribution

7.4 Quiz

7.5 Calculator Use - the Binomial Probability Distribution Function

7.5 Quiz

7.6 Calculator Use - the Binomial Cumulative Distribution Function (Part 1)

7.6 Quiz

7.7 Calculator Use - the Binomial Cumulative Distribution Function (Part 2)

7.7 Quiz

7.8 Other Binomial Calculations

7.8 Quiz

7.9 Forming New Binomial Distributions (Part 1)

7.9 Quiz

7.10 Forming New Binomial Distributions (Part 2)

7.11 Discrete Random Variables

7.11 Quiz

The Binomial Distribution - Exam Questions

8.1 Hypothesis Tests Introduction

8.1 Quiz

8.2 One-Tailed Tests

8.2 Quiz

8.3 Two-Tailed Tests

8.3 Quiz

8.4 Critical Regions

8.4 Quiz

8.5 Actual Significance Levels

8.5 Quiz

Hypothesis Testing - Exam Questions

9.1 Sampling and Populations

9.2 Random Sampling

9.3 Non-Random Sampling

Sampling - Exam Questions

Edexcel Large Data Set

AQA Large Data Set

OCR Large Data Set

MEI Large Data Set

Edexcel Specimen Paper

AQA Specimen Paper

OCR Specimen Paper

MEI Specimen Paper

2.1 SUVAT Intro

2.2 SUVAT Equations Proofs

2.3 Using the SUVAT Equations (Part 1)

2.4 Using the SUVAT Equations (Part 2)

2.3/2.4 Quiz

2.5 Two-Part Journeys

2.6 Two Moving Objects

2.6 Quiz

2.7 Projectiles Intro

2.8 Projectiles (Part 1)

2.9 Projectiles (Part 2)

2.8/2.9 Quiz

Constant Acceleration - Exam Questions

3.1 Force Diagrams (Part 1)

3.2 Force Diagrams (Part 2)

3.1/3.2 Quiz

3.3 Resultant Forces

3.3 Quiz

3.4 Magnitude and Direction

3.5 Forces as Vectors

3.6 Forces as Vectors Example

3.5/3.6 Quiz

3.7 Parallel Vectors

3.8 Newton's Second Law Introduction

3.9 Newton's Second Law (Part 1)

3.10 Newton's Second Law (Part 2)

3.9/3.10 Quiz

3.11 SUVAT and Forces

3.11 Quiz

3.12 Connected Particles (Part 1)

3.12 Quiz

3.13 Connected Particles (Part 2)

3.14 Connected Particles (Part 3)

3.13/3.14 Quiz

3.15 Changing Forces (Part 1)

3.16 Changing Forces (Part 2)

3.15/3.16 Quiz

3.17 Modelling Assumptions

Forces and Dynamics - Exam Questions

4.1 Motion as a Functions of Time

4.2 Using Differentiation (Part 1)

4.3 Using Differentiation (Part 2)

4.2/4.3 Quiz

4.4 Turning Points

4.5 Using Integration (Part 1)

4.6 Using Integration (Part 2)

4.5/4.6 Quiz

4.7 SUVAT Equations

Variable Acceleration - Exam Questions

5.1 Calculator use in mechanics

Edexcel Specimen Paper

AQA Specimen Paper

OCR Specimen Paper

MEI Specimen Paper