**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 **

*Place Value *

Place value means that each digit within a number represents a value depending on its position. For example, in the number 452, the digit 2 would represent 2 units, the 5 would represent 5 tens (or 50) and the 4 would represent 4 hundreds (400).

Moving from right to left, each digit is 10 times larger, or from left to right, each digit in 10 times smaller. This is also true for decimal numbers.

In order to work out which value represents what, we can use a place value chart.

**Example 1 :**

Let’s use a place value chart to find out what all the numbers in 87 543 mean. To make it easier to put the digits in the right box, we can start by placing the unit in its box first, then moving left.

The **8** represents** 80 000**

The **7** represents **7 000**

The** 5** represents **500**

The **4** represents **40**

The **3** represents** 3**

**Example 2 :**

Let’s try a slightly harder place value chart, with a number that has decimals. The number we’ll use is 76.23. After the units column, to the left we must put a tenths column, then a hundredths column etc. You can draw a decimal point between the boxes for units and tenths.

The **7** represents **70**

The **6** represents **6** units

The **2** represents **2** tenths or** 0.2**

The **3 **represents **3 **hundredths or **0.03**

*Place Value Exercise*

** 1) Express the following number in figures.**

a. Four thousand, two hundred and twenty.

b. Eleven point three

** 2) From the following set of number, identify and put a circle around the largest number and a square around the smallest number. **

a) 0.3, 2.12, 0.03, 0.4, 0.04, 4, 4.12.

b) 14.2, 13.4, 14.02, 15.6, 4.12, 0.142

** 3) What is the value of the number q in each of these set of numbers ?**

a) 14923

b) 1690

c) 14.9

** 4) Use the following four number make the smallest and largest number you can.**

6294Largest number :

Smallest number :

** 5) Joe claims that he own three thousand and thirty five pair of cards. Bilal claim that he own three thousand and fourty two pair of cards. Who how more of cards? **Tick the correct box .

Joe Bilal

c) in figures ,write down the largest number of cards.