Formula booklet

Topics: Random variable, Normal distribution, Mathematics Pages: 206 (3379 words) Published: October 6, 2013
GCE
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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