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M34 - Maths Lessons, Homework and Revision Site

Blog posts : "U64M HWK"

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.

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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Mastering Mechanics - 10 Feb to 08 Mar

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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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

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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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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)

Normal Distribution Example Solution 

Further Practice:

Normal Distribution Questions

Normal Distribution Solutions

Normal Distribution Mark Schemes

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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)

Parametric Equations Example Solution 

Further Practice:

Parametric Equations Questions

Parametric Equations Solutions

Parametric Equations Mark Schemes

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Mock Exam Preparation - Quadratic Discriminant

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Mock Exam Preparation - Rcos(theta - alpha) Methods

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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

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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

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Mock Preparation - Implicit Differentiation

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Mock Preparation - Geometric Progression

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Mock Preparation - Arithmetic Progression

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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

 

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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.

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