## U64M Blog & Lessons

### Week 06 -12 April

EOC Mock Pure 1

EOC Mock Pure 1 Question Paper

Submission 1 Q1  - Q7 (49 marks)

Submission 2 Q8 - Q13 (51 marks)

The idea here is for you to work at a pace and timescale that suits you. Use your notes and textbooks and do not worry about how many hours it takes to complete a paper.

Only send me half a paper at a time. Feel free to email me with queries about other topics you are working on.

### Week 10 - 16 February

Monday Lesson:

Dynamics 2 - Exercise 7F

Lesson Notes

### Week 03 - 09 February

Tuesday Lesson:

Statics 3 Exercise 7D

Lesson Notes and Homework

Solutions to Exercise 7D

Wednesday Lesson:

Dynamics 1 Exercise 7E

Lesson Notes and Homework

Solutions to Exercise 7E

### Week 27 Jan - 02 Feb

Monday Lesson:

Statics 1 Exercise7A

Lesson Notes and Homework

Solutions to Exercise 7A

Wednesday Lesson:

Statics 2 Exercises 7B and 7C

Lesson Notes and Homework

Solutions to Exercise 7B

Solutions to Exercise 7C

### Week 20 - 26 January

Tuesday Lesson:

Intro to Friction

Lesson Notes

### Week 13 - 19 January

Monday Lesson:

Revision Parametrics - CAST Diagram

Parametrics Notes

CAST Notes

### Week 06 - 12 January

Tuesday Lesson:

Revision : Venn Diagrams and Normal Distribution

Intro to Parametric Integration

Lesson Notes

Wednesday Lesson:

Revision - Parametrics

Lesson Notes

### Week 16 - 22 December

Monday Lesson:

Functions Revision

Lesson Notes

Wednesday Lesson:

Normal Distribution Revision

Lesson :Notes

See below for video clips on using the Normal Distribution functions on your Classwiz calculator

### CLASSWIZ Calculator - Normal Distribution

Three short video clips to teach you how to use the Normal Distribution functions on your calculator:

Normal Distribution 1 (1:18)

Normal Distribution 2 (1:51)

Normal Distribution 3 (1:37)

### Week 09 - 15 December

Tuesday Lesson:

Integration by Parts

Lesson Notes

Wednesday Lesson:

Integration by Parts 2

Lesson Notes

### Week 02 - 08 December

Monday Lesson:

Integration - Substitution Exam Questions

Lesson Notes and Homework

Wednesday Lesson:

More Substitution

Lesson Notes

Homework:

For Tuesday 10 December please watch the video lesson Integration by Parts (26 mins), print off the lesson notes, attempt the associated exercise and self-mark from the solutions provided.

### Week 25 Nov - 01 Dec

Tuesday Lesson:

Due to all but one student failing to complete set homework, last week's homework carried forward into this lesson.

For Tuesday 26 November please watch the video lesson Integration by Substitution (24 mins), print off the lesson notes, attempt the associated exercise and self-mark from the solutions provided.

Wednesday Lesson:

Integration by Substitution

Lesson Notes and Homework

### Mock Exam Preparation

Year 13 Pure Maths Mock - Jan 2020 (2 Hours)

 Question Topic Marks 1 Geometric Progression 5 2 Differentiation From First Principles 5 3 Functions 13 4 Integration by Substitution 7 5 Rcos (theta - alpha) Methods 11 6 Parametric Equations 5 7 Modulus Function 6 8 Simultaneous Eqns / Discriminant 5 9 Differentiation / Iteration 9 10 Equation of a Circle 9 11 Arithmetic Progression 5 12 Implicit Differentiation 7 13 Trigonometric Equations 10 Total: 97

Year 13 Mechanics & Statistics Mock - Jan 2020 (1 Hour)

 Question Topic Marks 1 Venn Diagram - Probability 11 2 Normal Distribution 8 3 SUVAT in 2-Dimensions 4 4 Moments 11 5 Projectiles 14 Total: 48

### Week 18 - 24 November

Monday Lesson:

Moments 2008-10

Lesson Notes and Homework

Homework Solutions

Wednesday Lesson:

Intro to Integration

Lesson Notes

Homework - see right column

### Week 11 - 17 November

Tuesday Lesson:

Rates of Change

Lesson Notes & Homework

Wednesday Lesson:

Moments 2

Lesson Notes and Homework

Homework Solutions

### Week 04 - 10 November

Monday Lesson:

R cos(theta - alpha) Methods

Lesson Notes and Homework

Wednesday Lesson:

Intro to Moments

Lesson Notes and Homework

### Week 21 - 27 October

Tuesday Lesson:

Parametric Differentiation

Lesson Notes

Wednesday Lesson:

CAST Diagram

Lesson Notes

### Week 14 - 20 October

Monday Lesson:

Implicit Differentiation

Lesson Notes and Homework

Wednesday Lesson:

Intro to Parametric Equations

Lesson Notes

### Week 07 - 13 October

Tuesday Lesson:

Trig Differentiation Ex 9F

Lesson Notes

Wednesday Lesson:

Differentiation Applications

Lesson Notes and Homework

### Year 13 Parents' Evening

The Year 13 Parents' Evening will be held on Wednesday 11 December.

### Week 30 Sep - 06 Oct

Monday Lesson:

Differentiation Exercise 9D & 9E

Lesson Notes and Homework

Wednesday Lesson:

Trig Functions & Graphs

Lesson Notes

### Week 23 - 29 September

Tuesday Lesson:

Differentiation - Chain Rule

Lesson Notes

Wednesday Lesson:

Differentiation - Product & Quotient Rules

Lesson Notes and Homework

### Week 16 - 22 September

Monday Lesson:

Modelling With Series

Lesson Notes and Homework

Wednesday Lesson:

Series Mixed Exercise 3

Lesson Notes

Set Notation Notes

### Week 09 - 15 September

Tuesday Lesson:

Geometric Progressions

Lesson Notes

TheMathsTeacher Lesson Notes

TheMathsTeacher Video Lesson

Wednesday Lesson:

Sigma Notation & Recurrence Relations

Lesson Notes

### Week 02 - 08 Sep

Wednesday Lesson:

Intro to Arithmetic Progressions

Lesson Notes

TheMathsTeacher Lesson Notes

TheMathsTeacher Video Lesson

### Exam Dates Summer 2020

The dates of your A-level Maths exams next summer are as follows:

 Wed 03 June 2020 AM 9MA0 01 Pure Maths 1 2 Hours Wed 10 June 2020 AM 9MA0 02 Pure Maths 2 2 Hours Fri 12 June 2020 PM 9MA0 03 Stats & Mech 2 Hours

## U64M Homework

### Mastering Statistics - 09 Mar to 05 Apr

Once we have completed the 8 Mechanics 1 papers we will concentrate on Statistics 1 papers to consolidate knowledge of topics introduced earlier in the course.

 Statistics 1 Jan 2005 Solutions Mark Scheme Statistics 1 Jun 2005 Solutions Mark Scheme Statistics 1 Jan 2006 Solutions Mark Scheme Statistics 1 Jun 2006 Solutions Mark Scheme Statistics 1 Jan 2007 Solutions Mark Scheme Statistics 1 Jun 2007 Solutions Mark Scheme Statistics 1 Jan 2008 Solutions Mark Scheme Statistics 1 Jun 2008 Solutions Mark Scheme

Some questions have been annotated 'No longer on Syllabus'. Miss those questions out.

Other questions are on correlation and regression. If you are supplied with tabulated bivariate data you can attempt these on your calculator. However, if you are given summary statistics for the data you can either miss the question out or, better still, use the formulae below to attempt the questions to increase your insight into correlation and regression. ### Mastering Mechanics - 10 Feb to 08 Mar

Two Papers Per Week For A Month

 Mech 1 Jan 05 - Omit Q1,6 Solutions Mark Scheme Mech 1 Jun 05 - Omit Q2 Solutions Mark Scheme Mech 1 Jan 06 - Omit Q2 Solutions Mark Scheme Mech 1 Jun 06 - Omit Q2 Solutions Mark Scheme Mech 1 Jan 07 - Omit Q4 Solutions Mark Scheme Mech 1 Jun 07 - Omit Q2 Solutions Mark Scheme Mech 1 Jan 08 - Omit Q2 Solutions Mark Scheme Mech 1 Jun 08 - Omit Q1 Solutions Mark Scheme Mech 1 Jan 09 - Omit Q3 Solutions Mark Scheme

View this as an opportunity to consolidate your knowledge of Mechanics topics that were introduced earlier in the course. Questions on topics that have been moved to Further Maths have been identified for you to omit.

Aim to complete two papers per week for the next four weeks. Once this work is complete we will do a Mech 1 paper under exam conditions.

### Mock Exam Preparation - Moments

Here is an Moments Question with the mark scheme, together with a video solution:

Moments Question (5:02)

Moments Question Solution

Further Practice:

Moments Questions

Moments Solutions

Moments Mark Schemes

### Mock Exam Preparation - Differentiation From First Principles

Here is a short video working through an example of differentiating a polynomial term from first principles.

Differentiating f(x) = x4 (4:33)

Differentiating f(x) = x4 lesson notes

Further Practice:

Differentiating From First Principles Questions

Differentiating From First Principles Solutions

### Mock Exam Preparation - Iteration

Here is an Iteration Question with the mark scheme, together with a video solution:

Equation of Iteration Example (5:44)

Equation of Iteration Example Solution

Further Practice:

Iteration Questions

Iteration Solutions

Iteration Mark Schemes

### Mock Exam Preparation - Functions

This is a very important topic. Historically, it has been heavily examined by Edexcel. For example, on the June 2013 Core 3 paper there were two questions on Functions accounting for 18 of the 75 marks on the paper. Further down this web page you completed Functions questions from 2008-10 (blog entry dated 21 Nov 18). The questions supplied here are taken from 2011-13 papers.

Here is a Functions Question with the mark scheme, together with a video solution:

Functions Example (7:54)

Functions Example Solution

Further Practice:

Functions (2011-13) Questions

Functions (2011-13) Solutions

Functions (2011-13) Mark Schemes

### Mock Exam Preparation - Equation of a Circle

Here is an Equation of a Circle Question with the mark scheme, together with a video solution:

Equation of Circle Example (5:23)

Equation of Circle Example Solution

Further Practice:

Circle Questions

Circle Solutions

### Mock Exam Preparation - Modulus Function

Here are two Modulus Function Questions with the mark scheme, together with a video solution:

Modulus Function Examples (5:00)

Modulus Function Examples Solutions

Further Practice:

Modulus Function Questions

Modulus Function Solutions

### Mock Exam Preparation - Normal Distribution

Here is a Normal Distribution Question with the mark scheme, together with a video solution:

Normal Distribution Example (7:49)

Further Practice:

Normal Distribution Questions

Normal Distribution Solutions

Normal Distribution Mark Schemes

### Mock Exam Preparation - Parametric Equations

Parametric Equations questions often involve differentiation, integration and eliminating the parameter to obtain the cartesian equation of the curve. You have not yet covered the necessary integration techniques, so your exam question will not require integration. The further practice questions involve integration techniques which will be necessary for your final exam. For now you can practise the non-integration parts of these questions.

Here is a Parametric Equations Question with the mark scheme, together with a video solution:

Parametric Equations Example (3:18)

Further Practice:

Parametric Equations Questions

Parametric Equations Solutions

Parametric Equations Mark Schemes

### Mock Exam Preparation - Quadratic Discriminant

Here is a Quadratic Discriminant Question with the mark scheme, together with a video solution:

Further Practice:

### Mock Exam Preparation - Rcos(theta - alpha) Methods

Here is an Rcos(theta - alpha) Methods Question with the mark scheme, together with a video solution:

Rcos(theta - alpha) Methods Example (6:00)

Further Practice:

Rcos(theta - alpha) Methods Questions

Rcos(theta - alpha) Methods Solutions

Rcos(theta - alpha) Methods Mark Schemes

### Mock Exam Preparation - Trig Identities & Equations

Here is a Summary of Trigonometric Identities you need to memorise. Do not rely on them being in the Formulae Booklet as you need to recognise them within the context of problems you are looking to solve.

Here is a Trigonometric Identity & Equation Question with the mark scheme, together with a video solution:

Trigonometric ID & Eqn Example (6:23)

Trigonometric ID & Eqn Example Solution

Further Practice:

Trig Identities & Equations 2008-10 Questions

Trig Identities & Equations 2008-10 Solutions

Trig Identities & Equations 2008-10 Mark Schemes

### Mock Preparation - Vectors 2D SUVAT

Here is a Vectors 2D SUVAT Question with the mark scheme, together with a video solution which introduces the techniques involved:

Vectors 2D SUVAT Example (8:24)

Vectors 2D SUVAT Example Solution

Further Practice:

Vectors 2D SUVAT Questions

Vectors 2D SUVAT Solutions

Vectors 2D SUVAT Mark Schemes

### Mock Preparation - Venn Diagram

Here are three Venn Diagram Questions you may like to attempt before watching a video solution to the first and viewing written solutions to all three.

Venn Diagram Question from Jan 2004 (6:10)

Venn Diagram Probabilites Solutions

The Venn Diagram 11 mark question is one where the diagram will require probabilities rather than raw data in the circles. Set notation will be used. Here is a comprehensive exercise of 8 questions on this topic.

Venn Diagram practice questions

Venn Diagram solutions

Venn Diagram mark scheme

### Integration by Substitution

For Tuesday 26 November please watch the video lesson Integration by Substitution (24 mins), print off the lesson notes, attempt the associated exercise and self-mark from the solutions provided.