**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 **

*Fractions, Decimals and Percentages *

**Fractions**,**decimals**and**percentages**are all different ways to represent a quantity as part of a whole.

2. They can all be converted into each of the other forms and still represent the same amount – this means they are

3. These are some **common equivalents** that you should know.

**1/100 = 0.01 = 1%**

**1/10 = 0.1 = 10%**

**½ = 0.5 = 50%**

**¼ = 0.25 = 25%**

**1/5 = 0.2 = 20%**

- Hopefully, you will be able to use these facts to help you find out the answers for equivalents of other
**fractions**,**decimals**and**percentages**.

**Example 1:**

Let’s say we want to find out what ¾ is as a percentage.

We already know that **¼ is 25% – ¾** must be three times bigger than this.

**25% x 3 = 75%**

Converting between **fractions**, ** decimals** and

**percentages**using a calculator is quite simple if you know what to do.

- You can
**convert a fraction**to a decimal by dividing the numerator by the denominator

2. You can **convert a decimal** to a percentage by ** multiplying** it

**by 100.**

3. You can **convert a percentage** to a decimal by **dividing** it **by 100.**

4. You can **convert a percentage** to a fraction by writing the number over a **denominator of 100.**