**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 **

**Table of Contents**

**Algebra | Unit 1 | Expressions and Formula**

Page 3| Changing the Subject of a Formula

**Algebra | Unit 2 | Inequalities**

Page 1 | Number Lines

Page 2 | Solving Inequalities

**Algebra | Unit 3 | Equations**

Page 2 | Equations with Brackets

Page 3 | Equations with Fractions

**Algebra | Unit 4 | Graphs**

Page 1 | Straight Line Graphs ( y = mx + c )

**Algebra | Unit 5 | Patterns and Sequences**

Page 1 | Basic Patterns

Page 2 | Linear Sequences & n^{th} term

Page 3 | Quadratic Equations

**Shape, Space and Measure | Unit 1 |Transformations**

Page 1 | Congruent Shapes

Page 2 | Translations

Page 3 | Rotations

Page 4 | Reflections

Page 5 | Enlargements

**Shape, Space and Measure | Unit 2 |Symmetry**

Page 1 | Line Symmetry

Page 2 | Rotational Symmetry

**Shape, Space and Measure | Unit 2 |Coordinates**

Page 1 | Plotting Coordinates

**Shape, Space and Measure | Unit 3 |Perimeter, Area, Volume**

**Shape, Space and Measure | Unit 4 |Measurement**

Page 1 | Estimation and Accuracy

Page 2 | Scales

Page 3 | Conversions (Metric & Imperial)

Page 4 | Area and Volume Unit Conversions

**Shape, Space and Measure | Unit 5 |Trigonometry**

Page 1 | Triangle Construction

**Shape, Space and Measure | Unit 6 |Pythagoras**

Page 1 | Pythagoras Theorem

Page 2 | Line Segments

**Shape, Space and Measure | Unit 7 |Angles**

Page 1 | Summary of Drawing &Reading Angles

Page 2 | Angle Sum in Different Shapes

Page 3 | Angles in a Polygon

Page 4 | Angles and Parallel Lines

Page 5 | Perpendicular Bisectors

Page 6 | Angle Bisectors

Page 7 | Constructing Loci

**Shape, Space and Measure | Unit 8 |Shapes**

Page 1 | Properties of Circles

Page 2 | Properties of Polygons

Page 3 | Properties of Triangles

Page 4 | 3D Shapes: Nets & Faces

**Shape, Space and Measure | Unit 8 |Time**

Page 1 | Units of Time

Page 2 | 12 & 24 Hour Clocks

Page 3 | Timetables

**Number | Unit 1 |Place Value**

**Number | Unit 2 |Distance, Speed and Time**

**Number | Unit 3 |Rounding and estimating**

**Number | Unit 4 |Ratio and Proportion **

Page 1 | Equivalent Ratios

Page 2 | Division with Ratios

Page 3 | Scale Drawings & Maps

Page 4 | Proportions

**Number | Unit 5 |Primer numbers, factors and multiples**

**Number | Unit 6 |Powers and roots**

**Number | Unit 7 |Decimals**

Page 1 | X 10, 100 & 1000

Page 2 | ÷10, 100 & 1000

Page 3 | Multiplying and Dividing by Whole Numbers

**Number | Unit 8 |Positive and negative numbers**

Page 1 | Operations with Positive and Negative Numbers

**Number | Unit 9 |Operations**

Page 1 | BIDMAS Rule

Page 2 | Multiplication & Division (Different Methods)

Page 3 | Converting Fractions, Decimals & Percentages

**Number | Unit 10 |Fractions**

Page 1 | Equivalent Fractions

Page 2 | Simplifying Fractions

Page 3 | Mixed Numbers

Page 4 | Improper Fractions

Page 5 | Ordering Fractions

Page 6 | Addition & Subtraction

Page 7 | Multiplication & Division

**Number | Unit 11 |Percentages**

Page 1 | Percentages of Quantities

Page 2 | Interest, Wages & Quantities

**Number | Unit 12 |Standard Index form**

Page 1 | Decimals in Standard Form

Page 2 | Writing in Standard Form

Page 3 | Addition and Subtraction un Standard Form

Page 4 | Multiplication and Division in Standard Form

**Handling Data | Unit 1 |Collecting & Recording Data Representing Data**

Page 1 | Tables & Tally Diagrams

Page 2 | Frequency Tables

Page 3 | Stem & Leaf Diagrams

**Handling Data | Unit 2 |Representing Data **

Page 1 | Bar Charts

Page 2 | Line Graphs

Page 3 | Pictograms

Page 4 | Frequency Polygons

Page 5 | Scatter Diagrams

Page 6 | Pie Charts

**Handling Data | Unit 2 |Averages **

Page 1 | Mean, Median, Mode & Range

Page 2 | Averages of Grouped Data

**Handling Data | Unit 2 |Probability**

Page 1 | Basic Probability

Page 2 | Sum of Probabilities

Page 3 | Probability of Combined Events

*Division Calculations *

Knowing your times tables is very useful when dividing – since division is the inverse of multiplication. For simpler questions, you may want to use certain mental methods when dividing.

**Example 1:**

If you’re dividing by slightly difficult number, you can break it down to make it easier.

Let’s say that the question is **112** ÷ **14**

**14** might be difficult to divide by mentally but, we know that **2** x **7** = **14**. So, what we can do is divide **112** by **2 **first, which is **56**. Then we can divide **56** by **7** which is **8**.

By breaking it down, the question became much easier and we now know that **112** ÷ **14** = **8**.

If a number **doesn’t divide completely**, you may end up with a **remainder** at the end. For example, **12**÷ **5** wouldn’t fit fully so the answer would be **2** remainder **2**, because **2** fives fit into **12** with **2** left over.

With **decimals**, the way to divide is very similar to the method used in multiplication. You **multiply it by** **10** or **100** to get a whole number, do the division, then divide your answer by what you multiplied in the beginning.

**Example 2:**

Let’s say our question is **5.4** ÷ **9**

We multiply **5.4** by **10** to get **54**.

**54** ÷ **9** = **6**

We then divide **6** by **10** to get **0.6** à **5.4** ÷ **9** = **0.6**

For more complicated division questions, you might want to use a **written method** such as long division. This involves **subtracting multiples** of the number you are dividing by.

**Example 3:**

Let’s say the question is **476** ÷ **19**. This is how it would look in long division style.

**1) Circle the question which have the answer 3**

18÷6 27÷9 44÷11

21÷3 45÷9

**2) Add in the missing value**

72÷= 6

**3) Laura writes a number on paper.She tells James to attend at guessing the number she gives him clue saying. If i divide the number by 9 if equals 13.**

What is the number on the paper?

**4)**

1328 ÷ 4 =

**5) 7 × 28 = 196**

Use this to calculate 196 ÷ 28 =

**6) At a supermarket, a bag can carry a maximum of 6 items. There are 72 items. How many bags can Robert fill?**

**7) Sams tutor has challenged him to work out**

288÷16 288÷2=144 144÷18=8

How can use these two expressions to calculate the answer.

**8) A cricket club is travelling to match. there are 17 people on the team.Each can carry 4 people.How many caws will we need?**

**9) Write the missing signs.**

54 ÷9 = 36 ÷