**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 **

*Solving Linear Equations with Fractions *

**L.O To be able to interpret fractional equations and solve them using the inverse method**

In algebraic expressions whenever a term is divided by another, fractions instead of division signs are used to represent this.

**Example 1:**

**Example 2 : **

**Example 3 : **

**Example 4:**

__Word Problems__

a) Amara thinks of a number. She **adds 3** and then **divides it by 2** to receive an answer. Abdul on the other hand starts with a number**, subtracts 5** and then **divides by 3**. When they reveal their numbers they notice they started with the same number initially. Write down expressions for both Amara and Abdul and work out the number they started with.

b) Ibrahim drives Rickshaw’s in India. On one journey he travels for **¾ of an hour** at the speed of **p km per hour**. He then travels for 1/5 of an hour at the speed of **(p + 5) km per hour**. When he looks at his mileage it appears he has done **30 miles**. Work out the value of **p**.

c) Alina has an Isosceles triangle. The length of the sides **PQ** and ** PR** are the same. The angle PQR is **3/7(x+20)** and PRQ is **80 – x**. Using this information find x and then the size of the remaining angle.