**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 **

*Mode, Median, Mean & Range*

When **analysing data**, there are lots of things that you can have a look at.

The **mode** is the **most common value** to come up **in** the **data** (**think** that **Mode** and **Most **common **both start** the **same way**).The **mode **can be **used for data** about **numbers **and **items**.

**Example 1:**This is a chart of the favourite foods of the all the children in a classBurgers has the highest number of votes so it is the most common favourite food. This will make it our mode. The**mean**is found when you**add up**all the**values**and**divide**by how many there are. It can only be used with**data that is****numerical**.

**Example 2:**

Let’s find the mean height of three friends. Laura is **130cm tall**, **Jeanna is 126 cm** tall and **Iman is 132** **cm tall**.

**130 + 122 + 132 = 384cm **

We now **divide** this **by three** (there were three friends)

**384 ÷ 3 = 128 **

**128cm is** our** mean.**

The **median value** is found by **ordering ALL **of the** values** you have from **largest to smallest** and then**finding **the** middle number**.

If there is an **even number **of **values**, the median is **halfway between** the **two middle numbers**.

**Example 3:**

Let’s find the **median **of these **test results** of **ten children in Year 3**.

- First we have to put them in order.

2. We can cross off one number from each end until there are only one or two numbers left.

- Since there are two numbers left, the median is halfway between them.

The **median is** **11.5** or **11 ½ . **

**Find the range** of a set of data is very simple. All you do to find it is **take** the **largest value** and **subtract the smallest value** from it.

**Example 4:**

We’ll find the **range** of the test results we used in the last example.

The **largest number is 19** and the **smallest is 7**.

Therefore, our **range is 12**.

**1) Many wants to know how many siblings the people in her class have. These were her results,**

2,6,2,3,4,5,7,2,2,3,4,4,5,2,3,7

a) Record her resultsin the tally chart

b) What is the mode?

c)What is the range?

d) Write of the number in order from smallest to largest.

e) What is the medium?

**2) Miss gold gives out gold stars every time a student’s homework has full marks.At the end of the year,these are how many gold stars each student had**

Adam 12 Anjali 17 Molly 13

Jeanne 14 bobby 15 Charlie 9

Helena 9 Anna 10 Jason 11

What is the mean score?

The next year, these are the number of gold star for the same students

Adam 9 Anjali 16 Molly 14

Jeanne 15 Bobby 12 Charlie 4

Helena 7 Anna 9 Jason 7

What is the new mean score?

**3) The mean of three number is 5 and the mode is 7 . Write down the three number ? **