9MA0/01 and 9MA0/02

Notes, Class Exercises, Homework and Unit tests

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P01 Algebra

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Notes

     Rules for simplifying fraction and indices

     Partial fractions rules and examples

     Binomial expansion note

     Binomial expansion note 2

     Algebra long division and partial fractions note

     Proof by contradiction examples

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Emporium notes

     AS proof

     A2 proof

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Exercises

     Algebra worksheet   Solutions

     Proof by contradiction worksheet

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AS topics

     Quadratic equations

     Sketching quartics

     Inequalities by sketch

     Factor & remainder theorems     ANS

     Proportionality

     Factorial

     Binomial expansion     ANS

     Proof & differentiate from 1st principles

     Proof EX from book

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Homework

     Algebra fractions and binomial expansion

     Algebra long division

     Algebra and binomial from old OCR

     Make thing to subject

     Partial fraction from CIE book

     Prove practice

     Algebra homework 2    ANS

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Unit tests

     AS binomial expansions   MS

     Proof   MS

     A2 binomial expansions   MS

     Algebra fractions   MS

     AS quadratic equations   MS

     Binomial series     MS     *Oxford press

     Partial Fractions     MS      *Oxford press

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P02 Functions

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Notes

     Rules for transformations

     Functions note 1

     Functions note 2

     Odd even functions

     Sketching techniques

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Emporium notes

     AS Exponential

     A2 Exponential 

     AS Growth and decay

     A2 Growth and decay

     AS Logs

     A2 Logs

     AS Reduction to linear model

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Exercises

     Functions worksheet     ANS

     Finding inverse exercise     ANS

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AS topics

     Graph transformations     ANS

     Logs and Exp

     Reduction to linear Dave's sheet

     Reduction to linear model

     Further transformations and simultaneous equations

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Homework

     Functions

     OCR exam questions

     Exp model

     Function walk through

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Unit tests

     AS logs and exp   MS     *emporium

     A2 functions   MS     *emporium

     Algebra and functions     MS     *oxford press

     Logs and Exp     MS     *oxford press

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P03 Trigonometry

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Note

     Basic rules and equations

     AS trig notes

     A2 trig notes

     Small angle approximation note

     Harmonic form note

     How to find range involve trig functions

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Exercises

     A2 Trigs worksheet   ANS

     Harmonic form Dave New

     Radians & Small angle worksheet     ANS    Solutions

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     Small angle approximations from book

     Addition formulae & Harmonic form

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     AS Trigs worksheet     ANS

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Homework

     Trigs     ANS

     Radians

     Extra book practices

     Extra exam questions

     Trigs from OCR   ANS

     AS Trigs HW2    ANS

     A2 Trigs HW2

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Unit tests

     AS trigs   ANS

     A2 Trigs   ANS

     Trigonometry     MS     *Oxford press

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P04 Differentiations

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Note

     Basic rules

     AS tangent & normal

     Maximum & minimum

     Point of inflection

     Chain rules / Rate of change

     A2 differentiation note

     AS differentiation note

     Differentiation from 1st principles

     Differentiate sin(x)/cos(x) from 1st principles

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Emporium Notes

     Differentiation from 1st principle

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Exercises

     A2 Differentiation worksheet      Rate of change solutions

     Point of inflection EX from book

     Rate of change A

     Rate of change B     Solutions

     Rate of change extra

     Implicit differentiation

     Parametric

     Parametric 2 (starter)    ANS

     AS differentiation      ANS

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Homework

     Differentiation

     OCR C3   ANS

     OCR C4   ANS

     Mixed EX from book

     Point of inflection     ANS

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Unit tests

     AS Differentiation   ANS

     A2 Differentiation   ANS

     Parametric   ANS

     Differentiation 1     MS     *Oxford press

     Differentiation 2     MS     *Oxford press

     Parametric equations     MS     *Oxford press

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P05 Sequences

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Notes

     Proof note

     Arithmetic Progression

     Geometric Progression

     ED's note

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Exercises

     Sequences worksheet   ANS

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Homework

     Sequences

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Unit tests

     Emporium   MS

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P06 Geometry

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Notes

     Line and circle note

     tangent of a circle

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Exercises

     Line and circle     Solutions

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Homework

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Unit tests

     Geometry   MS

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P07 Vectors

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Notes

     Basic

     Bearing / parallelogram / ratio

     3D ratio, prove of intersection

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Exercises

     New vector questions *include 3D ratio   Solutions

     AS vectors   New book

     A2 vectors   New book

     Extra 3D ratio   *Difficult*

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     AS vector solomon     ANS

     A2 vector solomon     ANS

Homework

     AS+A2    ANS

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Unit tests

     A2 Vectors ANS

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P08 Integrations

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Notes

     Basic rule and tips

     AS integration note

     AS integration note 2

     A2 integration note

     A2 Proof for integral of exponential functions

     Definite integral, effect by translations

     AS integration properties & examples

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Exercises

     Class worksheet   ANS   Solutions

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     AS integration worksheet

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Homework

     Integrations

     OCR C3   ANS

     OCR C4   ANS

     Differential equation   ANS

     Hard differential equation

     More differential equation    solutions

     Hard integration

     Dave's not friendly

     A2 Practice questions OCR

     Wordy differential equation

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Unit tests

     AS integration   MS

     A2 integration 1   MS

     A2 integration 2   MS

     Integration     MS     *Oxford press

     Differential Equations     MS     *Oxford press

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P09 Numerical methods

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Notes

     Checking accuracy

     Trapezium rule

     Newton Raphson

     Iterative method

     Iterative by graph

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Exercises

     Iterative method

     Exercise from book

     Iterative by graphical

     Trapezium rule

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Homework

     Numerical methods

     Newton Raphson exam questions

     Exam type and old book

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Unit tests

     Numerical methods   MS

     Iterative methods     MS     *Oxford press

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P10 Review exercises

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     Review exercise from new book   Year 1   Year 2

     Modified from AQA 06-08   ANS

     Modified from CIE 02-04   ANS

     Modified from CIE 05-07   ANS

     Modified from O level   ANS     *difficult!*

     AS topics practice questions OCR

     A2 topics practice questions OCR

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     AS pure maths challenge questions

     Dave's fun questions

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Revision 1      Revision 2    Revision 3    Revision 4    Revision 5

Revision 6      Revision 7    Revision 8    Revision 9    Revision 10

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P11 Y12 Homework

1. Algebra (part 1)

2. Algebra (part 2)

3. Quadratics

3. Coordinate geometry

4. Graphs and transformations

5. Binomial expansion

6. Trigonometry

7. Differentiation (part 1)

8. Differentiation (part 2)

9. Integration

10. Exponential and logs

11. Proof

12. Vectors

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P12 Transition from Y12 to Y13

1&2. Algebra & quadratic

3. equations and inequalities

4. Graphs and transformations

5. straight line

6. circle

7. Algebraic methods

8. Binomial expansion

9. Trigonometric ratios

10. Trigonometric identities

11. Vectors

12. Differentiation

13. Integration

14. Exponentials and Logarithms 

 

P13 Integral website

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AS

1. surd and indices    Solutions     notes

2. quadratics    Solutions     notes

3. inequalities    Solutions     notes

4. graphs    Solutions     notes

5. geometry    Solutions     notes

6. polynomials    Solutions     notes

7. binomial expansion    Solutions     notes

8. trigonometry    Solutions     notes

9. differentiation    Solutions     notes

10. vectors    Solutions     notes

11. integration    Solutions     notes

12. log and exp    Solutions     notes

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A2

1. Proof    Solutions     notes

2. algebra    Solutions     notes

3. functions    Solutions     notes

4. sequences    Solutions     notes

5. radians    Solutions     notes

6. trigs functions    Solutions     notes

7. trigs identities    Solutions     notes

8. differentiation 1    Solutions     notes

9. differentiation 2    Solutions     notes

10. parametric equations    Solutions     notes

11. numerical methods    Solutions     notes

12. vectors    Solutions     notes

13. integration    Solutions     notes

14. differential equations    Solutions     notes

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