# Formula booklet

**Topics:**Random variable, Normal distribution, Mathematics

**Pages:**206 (3379 words)

**Published:**October 6, 2013

Edexcel GCE in Mathematics

Mathematical Formulae and Statistical Tables

For use in Edexcel Advanced Subsidiary

GCE and Advanced GCE examinations

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Core Mathematics C1 – C4

Further Pure Mathematics FP1 – FP3

Mechanics M1 – M5

Statistics S1 – S4

For use from June 2009

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

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TABLE OF CONTENTS

Page

4

Core Mathematics C1

4

4

Mensuration

Arithmetic series

5

Core Mathematics C2

5

5

5

5

5

Cosine rule

Binomial series

Logarithms and exponentials

Geometric series

Numerical integration

6

Core Mathematics C3

6

6

6

Logarithms and exponentials

Trigonometric identities

Differentiation

7

Core Mathematics C4

7

Integration

8

Further Pure Mathematics FP1

8

8

8

8

Summations

Numerical solution of equations

Conics

Matrix transformations

9

Further Pure Mathematics FP2

9

9

Area of sector

Maclaurin’s and Taylor’s Series

10

Further Pure Mathematics FP3

10

11

12

12

13

13

Vectors

Hyperbolics

Differentiation

Integration

Arc length

Surface area of revolution

Edexcel AS/A level Mathematics Formulae List: C1 – C4, FP1 – FP3 – Contents Page – Issue 1 – September 2009

1

14

Mechanics M1

14

There are no formulae given for M1 in addition to those candidates are expected to know.

14

Mechanics M2

14

Centres of mass

14

Mechanics M3

14

14

14

Motion in a circle

Centres of mass

Universal law of gravitation

15

Mechanics M4

15

There are no formulae given for M4 in addition to those candidates are expected to know.

15

Mechanics M5

15

15

Moments of inertia

Moments as vectors

16

Statistics S1

16

16

16

17

18

19

Probability

Discrete distributions

Continuous distributions

Correlation and regression

The Normal distribution function

Percentage points of the Normal distribution

20

Statistics S2

20

20

21

26

Discrete distributions

Continuous distributions

Binomial cumulative distribution function

Poisson cumulative distribution function

27

Statistics S3

27

27

27

27

28

29

30

Expectation algebra

Sampling distributions

Correlation and regression

Non-parametric tests

Percentage points of the χ 2 distribution

Critical values for correlation coefficients

Random numbers

31

Statistics S4

31

32

33

Sampling distributions

Percentage points of Student’s t distribution

Percentage points of the F distribution

There are no formulae provided for Decision Mathematics units D1 and D2.

2

Edexcel AS/A level Mathematics Formulae List: M1–M5, S1–S4 Contents Page – Issue 1 – September 2009

The formulae in this booklet have been arranged according to the unit in which they are first introduced. Thus a candidate sitting a unit may be required to use the formulae that were introduced in a preceding unit (e.g. candidates sitting C3 might be expected to use formulae first introduced in C1 or C2).

It may also be the case that candidates sitting Mechanics and Statistics units need to use formulae introduced in appropriate Core Mathematics units, as outlined in the specification.

Edexcel AS/A level Mathematics Formulae List – Issue 1- September 2009

3

Core Mathematics C1

Mensuration

Surface area of sphere = 4π r 2

Area of curved surface of cone = π r × slant height

Arithmetic series

un = a + (n – 1)d

Sn =

4

1

1

n(a + l) = n[2a + (n − 1)d]

2

2

Edexcel AS/A level Mathematics Formulae List: Core Mathematics C1 – Issue 1 – September 2009

Core Mathematics C2

Candidates sitting C2 may also require those formulae listed under Core Mathematics C1. Cosine rule

a2 = b2 + c2 – 2bc cos A

Binomial series

⎛ n⎞

⎛ n⎞

⎛ n⎞

(a + b) n = a n + ⎜ ⎟ a n −1b + ⎜ ⎟ a n − 2 b 2 + K + ⎜ ⎟ a n − r b r + K + b n ⎜ 1⎟

⎜ 2⎟

⎜r⎟

⎝ ⎠

⎝ ⎠

⎝ ⎠

(n ∈ ℕ)

⎛ n⎞

n!

where ⎜ ⎟ = n C r =...

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