**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 of Quantities*

- If you are
**finding**the**fraction of**a**given number**, the important rule to remember is that you must**divide by**the**denominator**, and**multiply by**the**numerator**.

- If the
**numerator is one**( ) then all you need to do is the**division**.

**Example 1 :**

Let’s say that we need to **find ** ** of 54.**

We need to **divide **the** value** by the **denominator** first.

**54 ÷ 9 = 6 **

Since the numerator is one, **6 is our answer**.

**Example 2 :**

Let’s try a slightly harder question – we’ll **find **** of £77**.

- First, we must
**divide by**the**denominator.**

** 77 ÷ 7 = 11** (this **is ** of our value)

- Next, we have to multiply by the numerator.

** 11 x 4 = 44 **

Therefore, ** of £77** is **£44**.

**1) In 5 ½ how many halves are there?**

**2) If Sara has 60 sweets and gives away 1/5 of them ,how many does she have left? **

- calculate 2/3 of 300
- How did you calculate this ?

**3) In 4 ½ Litres how many minutes are there?**

**4) If you have 21cm what fraction of a meter is this ?**

**5) Write 70p as a fraction £1. Simplify your answer.**

**6) There are 60 cars in a car park**

1/3 of them are silvers.

1/6 of them are maroon.

4/12 of them are black.

Calculate how many cars there are of each colour.