Pearson Edexcel International Advanced Subsidiary/Advanced ...

Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics and Pure Mathematics

Mathematical Formulae and Statistical Tables

For use in Pearson Edexcel International Advanced Subsidiary and Advanced Level examinations

Pure Mathematics P1 ? P4 Further Pure Mathematics FP1 ? FP3 Mechanics M1 ? M3 Statistics S1 ? S3

First examination from January 2019 Issue 2

This copy is the property of Pearson. It is not to be removed from the examination room or marked in any way.

P59773RA

?2021 Pearson Education Ltd. 1/1/1/1/1/1/1/1/1/1/1/1/

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Summary of Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics and Pure Mathematics Mathematical Formulae and Statistical Tables Booklet Issue 2 changes

Summary of changes made between previous issue and this current issue

The following sentence has been removed as it only applies to reflections, not rotations and it is confusing to have it in this section: In FP1, will be a multiple of 45?.

Under heading Conics, the following formula for the ellipse in the standard form: x2 + y2 =1 a2 a2 has been corrected as follows: x2 + y2 =1 a2 b2 Formulae on lines 6?8 in the list of Integration have been corrected from:

Page number 6 9

10

to show formulae on lines 6?9 as follows:

1 x2 - a2

arcosh

x a

,ln{x +

x2 - a2 }(x>a)

1 a2 + x2

arsinh

x a

,ln{x +

x2 + a2}

1 a2 - x2

1 x2 - a2

1 2a

ln

a a

+ -

x x

=

1 a

artanh

x a

(|x| < a)

1 ln x - a 2a x + a

Under heading Mechanics M1, the statement `Candidates sitting M1 may also require

13

those formulae listed under Pure Mathematics P1' has been expanded to read

`Candidates sitting M1 may also require those formulae listed under Pure Mathematics

P1 and P2.'

Summary of changes made between previous issue and this current issue

Page number

Under heading Statistics S1, the following statement has been added: `Candidates sitting 14 S1 may also require those formulae listed under Pure Mathematics P1 and P2.'

Under heading Correlation and regression, the following formula:

15

r = Sxy =

(xi - x )( yi - y)

=

xi yi

-

( xi )(

n

yi )

SxxSyy

{ (xi - x )2}{ ( yi - y)2}

xi2

-

( xi

n

)2

yi2

-

( yi

n

)

2

has been corrected as follows:

r = Sxy =

(xi - x )( yi - y)

=

xi yi

-

( xi )(

n

yi )

SxxSyy

{ (xi - x )2}{ ( yi - y)2}

xi2

-

( xi

n

)2

yi2

-

( yi

n

)2

Under heading Statistics S3, the statement `Candidates sitting S3 may also require those 25 formulae listed under Statistics S1 and S2' has been expanded to read `Candidates sitting S3 may also require those formulae listed under Statistics S1 and S2, and Pure Mathematics P1, P2, P3 and P4.'

Under heading Sampling distributions, the following formula:

25

has been corrected as follows:

( X - Y ) - (x - y )N(0, 1)

2 x

+

2 y

nx ny

In the table Random Numbers, spacing between numbers shown has been adjusted to 28 make them easier to read.

If you need further information on these changes or what they mean, contact us via our website at: qualifications.en/support/contact-us.html

Contents

Introduction

1

Pure Mathematics P1

3

Mensuration

3

Cosine rule

3

Pure Mathematics P2

3

Arithmetic series

3

Geometric series

3

Logarithms and exponentials

3

Binomial series

3

Numerical integration

3

Pure Mathematics P3

4

Logarithms and exponentials

4

Trigonometric identities

4

Differentiation

4

Integration

5

Pure Mathematics P4

5

Binomial series

5

Integration

5

Further Pure Mathematics FP1

6

Summations

6

Numerical solution of equations

6

Conics

6

Matrix transformations

6

Further Pure Mathematics FP2

7

Area of a sector

7

Complex numbers

7

Maclaurin's and Taylor's Series

7

Further Pure Mathematics FP3

8

Vectors

8

Hyperbolic functions

9

Conics

9

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