**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 **

*Subtraction Calculations *

There are many different ways to subtract numbers from one another. It is important to choose a method that works quickly and easily for you. For subtracting two whole numbers, you may choose to do the sum in your head.

If you want to write it down, you can choose to use a number line. You start with the number that is being taken away and count upwards to the original number

**Example 1:**

Let’s say the question you’ve been given is **83** – **37** =?

This is how we would set up the number line:

We then could add up the differences

**3** + **40** + **3** = **46**

We can check this is the right answer by adding **46** and **37**

**37** + **46** = **83** so we know that **46** is definitely the right answer.

If you don’t want to use a number line, especially on larger numbers, it may be easier for you to use the column method for subtraction. Like in the addition method, we have to first line up the digits in the correct place value then begin the subtraction in the units column. However, if we don’t have a larger number on the top of the column, we have to borrow from the next column.

**Example 2:**

Let’s say that the question we’ve been given is **925** – **264** =?

his is how we would do the sum:

These methods would also work with decimal numbers but if you find decimals difficult, it might be easier for you to treat them as whole numbers during the calculation.

**Example 3:**

Let’s say that the question you’ve been given is **0.6** – **0.43** =?

First let’s rewrite this as **0.60** – **0.43**. Once we’ve done this, all we need to do is find the answer to

**60** – **43** which is **17**. We have to turn this back into a decimal so the answer would be **0.17**.

**0.6** – **0.43** = **0.17**

Alternatively, let’s have a look how this would look in column method form .

*Subtraction Calculations Exercise*

**1) Write in the missing number or digits .**

a) 150 – = 72

b) 58 – 32 = 454

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** 2) Which of these calculation have largest difference?**

372 – 149 386 – 153

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**3) John and Jane both have a collection of gaming cards**

a) John has 700 cards and gives 236 to Jane.

How many does John have now.? b) Polly has 842 gaming cards now .How many did she have before John gave her some?

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**4) 2911 – 572 =**

** 5) There are people on the bus . At the first stop, 12 people get off and at the second stop, 18 people get off.how many people are still on the bus?**

**6) Write all the possible pairs of numbers that are positive, less than 30 and difference of 23. **

**7) 5.4 – 3.2 = 6.7 –**