IB 11 math SL 2014 formula booklet

Diploma Programme

Mathematics SL formula booklet
For use during the course and in the examinations
First examinations 2014

Published March 2012
© International Baccalaureate Organization 2012

Mathematical studies SL: Formula booklet

5045

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Contents
Prior learning

2

Topics

3

Topic 1—Algebra

3

Topic 2—Functions and equations

4

Topic 3—Circular functions and trigonometry

4

Topic 4—Vectors

5

Topic 5—Statistics and probability

5

Topic 6—Calculus

6

Mathematics SL formula booklet

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Formulae

Prior learning
Area of a parallelogram
Area of a triangle

Area of a trapezium

A b h

A

1
(b h)
2

A

1
( a b) h
2

Area of a circle

A

r2

Circumference of a circle

C

2 r

V

1
(area of base
3

Volume of a cuboid (rectangular prism)

V

l w h

Volume of a cylinder

V

Area of the curved surface of a cylinder

A 2 rh

Volume of a pyramid

Volume of a sphere

Volume of a cone

Distance between two points ( x1 , y1 , z1 ) and
( x2 , y2 , z2 )
Coordinates of the midpoint of a line segment with endpoints ( x1 , y1 , z1 ) and ( x2 , y2 , z2 )

Mathematics SL formula booklet

vertical height)

r 2h

V

4 3 r 3

V

1 2 r h
3

d

( x1

x1
2

x2 ) 2

x2 y1
,

2

y2 ) 2

( y1

y2 z1
,

( z1

z2 ) 2

z2
2

2

Topics

Topic 1—Algebra un u1 (n 1)d

Sn

n
(2u1 (n 1)d )
2

The nth term of a geometric sequence

un

u1r n

The sum of n terms of a finite geometric sequence

Sn

u1 (r n 1) r 1

The sum of an infinite geometric sequence

S

Exponents and logarithms

ax

Laws of logarithms

1.2

The nth term of an arithmetic sequence
The sum of n terms of an arithmetic sequence

1.1

log c a log c b log c ab a log c a log c b log c b log c a r r log c a

Change of base

1.3

Binomial coefficient

Binomial theorem

Mathematics SL formula booklet

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