**Table of Contents**

** Unit 1 | Algebra**

Page 1 | Expressions and Formulae

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

** Unit 2 |Graphs**

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

** Unit 3 |Geometry and Measure **

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

**Unit 4 | Numbers**

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

** Unit 5 | Statistics and Probability **

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

**Unit 4 | Calculus **

*Surface Area *

**L.O – To be able to calculate the surface area of a sphere, cone and cylinder. Also, to the able to match 3D shapes with their associated nets**

Surface area = total area of all the outer surfaces of a 3D shape added together

**Sphere :**

*Make sure you check which formulas are on the formula sheet of your exam!*

* **The ones which aren’t, you will have to learn.*

**Example 1:**

Calculate the surface area of this sphere

– Surface area = 4πr^{2}

= 4 x π x 3^{2 }

= 36π

**Example 2:**

Calculate the surface area of a cone with r = 5cm and l = 11cm

– Surface area = πrl + πr^{2}

= (π x 5 x 11) + (π x 5^{2})

= 55π + 25π

= 80π

**Example 3:**

Calculate the surface area of this cylinder

– Surface area = 2πrh + 2πr^{2}

= (2 x π x 2 x 5.6) + (2 x π x 2^{2})

=

**Questions:**

**Net:**

A net is a 2D representation of a 3D shape.