**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 **

*Addition Calculations *

Some **addition calculations** can be done in your head, using a **mental-method**.

In numbers under one hundred, we can just **break **it** down into tens **and** units** and **add **them **separately**.

For example, if you had a pair of **two-digit**–**numbers** and the units added up to 10, that might easier to do in your head than write down.

**Example 1:**

Let’s say we got a sum as a question.

56 + 74 =?

We know that 6 + 4 = 10 so all we have to do in our heads is 50 + 70 = 120

Then we can do 120 + 10 = 130 and that’s our answer!

For bigger numbers, it might be easier for us to do a written method of addition. This might be column addition or using a number line.

**Example 2:**

Let’s use an example so show to use a number line and the column method.

235 + 147 =?

In a number line, we start on the biggest number and count onwards.

In a column method, first we have to line up the numbers in the correct place value, then add the columns, starting from the left.

We can also use **subtraction** to help us work out the answer to an **addition question**. If there is a question with a **missing number (like 6 + ? = 9)**, we can use the answer and minus the value we do have ( 9 – 6) and we should find our missing value (it’s 3). We can check whether it’s right but

putting the missing value into the original sum and seeing if we get the correct answer. It works with bigger numbers too!

**Example 3:**

Let’s say that the question we get it **78 +? = 114**

We can rearrange this into **114 -78 = ?**

The answer is **36!**

We can now check this by **putting** **36** into the **original question**.

78 + 36 = 114

It works so **36 **must be the correct answer.

*Addition Calculations Exercise *

** 1) Calculate **a) 23+24+25

b) 425+159

c) 11.6+1.74

** 2) **

a) 87 + = 124

b) 3 + 7 = 100

c) 350 – = 117

**3) Which pair of number will add up to make 100? **

81 12 29 19 74 42

** 4) Write in the missing number so each side of the triangle has a total of 10 **

** 5) Write in the number 5,6,7,9 to complete the calculation.**

4

+ 3 6

2 2