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M34 - Maths Lessons, Homework and Revision Site

Blog posts : "U61M Homework"

Differentiation - Rates of Change

Rates of change questions normally involve three variables: Time t and two others such as Volume and Length. When a question asks you to find a rate of change it means find the derivative with respect to time.

Rates of Change Example (4:16)

Transcript of Video

Rates of Change 2008-14 Questions

Rates of Change 2008-14 Mark Schemes

Rates of Change 2008-14 Solutions

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General Motion Examples

Constant Acceleration - SUVAT in 2 Dimensions (6:46)

Transcript of Video

Variable Acceleration - Calculus (7:03)

Transcript of Video

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General Motion

The general motion questions on past Edexcel papers often involve the concept of impulse which is no longer on the syllabus. The following 10 MEI questions are perhaps a better guide as to the type of question we can expect on this topic.

General Motion MEI 2005-09 Questions

General Motion MEI 2005-09 Mark Schemes

General Motion MEI 2005-09 Solutions

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Solutions to Mock Statistics & Mechanics

Here are the question paper, mark scheme and solutions you sat on Wednesday 3 April.

Question Paper

Mark Scheme

Solutions

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Solutions To Mock Pure 1

Here are the question paper, mark scheme and solutions you sat on Wednesday 27 March.

Go through your own solutions to see where you need to improve or expand your knowledge.

Question Paper

Mark Scheme

Solutions

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Major Binomial Distribution Homework

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Optional Connected Particles Homework

Here is a substantial 54 mark homework on Edexcel Connected Particle Exam Questions. My Year 12 class are doing it this week. If you would like to sharpen up your knowledge and skills in this area you could complete it and hand in next Monday. I would mark it and return it to you on Tuesday.

Edexcel Connected Particle Exam Questions

This homework is optional since you are already working on Stats 1 papers this week.

Edexcel Connected Particle Solutions

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Binomial Hypothesis Testing

This spreadsheet can help you understand Binomial Hypothesis Testing:

Hypothesis Tester

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Mastering Statistics

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.

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.

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Mech 1 January 2009

You should all have a paper copy of the Mech 1 January 2009 paper. Please complete and hand in first lesson back on Monday 25 February. In case you lose your hard copy here is one you can download:

Mech 1 January 2009 Question Paper  Omit Q3 which is no longer on the syllabus.

Have a good break.

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Mastering Mechanics

Two Papers Per Week For A Month

Mech 1 Jan 05 - Omit Q1,6SolutionsMark Scheme
Mech 1 Jun 05 - Omit Q2SolutionsMark Scheme
Mech 1 Jan 06 - Omit Q2SolutionsMark Scheme
Mech 1 Jun 06 - Omit Q2SolutionsMark Scheme
Mech 1 Jan 07 - Omit Q4SolutionsMark Scheme
Mech 1 Jun 07 - Omit Q2SolutionsMark Scheme
Mech 1 Jan 08 - Omit Q2SolutionsMark Scheme
Mech 1 Jun 08 - Omit Q1SolutionsMark Scheme
Mech 1 Jan 09 - Omit Q3SolutionsMark 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.

 

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Review of Mock Exams

Please complete the following and hand in during Mr Herring's lesson on Thursday:

AP, GP and Modulus Function questions if you scored less than full m,arks on them.

Any Statistics or Mechanics question for which you scored less than 70% of the marks.

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General Binomial Expansion

Valid for expressions of the form (1 + x)n where n is negative, fractional or both.

It must be 1 at the front of the bracket and the validity depends on having |x| < 1

General Binomial Questions

General Binomial Solutions

General Binomial Mark Schemes

This topic is not on the January mock exam.

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Mock Exam Preparation - Points of Inflection

This is the final element of the support for mock exam preparation. The question concerned is 'Calculus Associated with a Cubic'.

Though most of the marks are for problem solving with standard calculus for polynomials the first 3 marks are concerned with a general point of inflection. This has not been examined on our old MEI syllabus and I can find no mention of it in our new textbooks. I have recorded a 10 minute lesson which will hopefully help you get to grips with it.

Points of Inflection (9:39)

TheMathsTeacher Differentiation of Polynomials Notes

Points of Inflection Notes

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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

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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

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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

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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

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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

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Mock Exam Preparation - Projectiles

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