**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 **

*Calculators *

Using a calculator can be very helpful in mathematics but it’s important to know how to use the calculator correctly, or you could still end up with the wrong answer.

Difficult, long-winded question may need more than one step if you want to get the answer right.

**Example 1 :**

Let’s say that the question we got is** (49.2 + 7.6)** – **(18.75 x 2)**. We’ll break this down into steps.

- First, we’ll do
**49.2**+**7.6**and write its answer down. - Then, we’ll do
**18.75**x**2**and write its answer down - Finally, we can do the subtraction.

Using a calculator to convert fractions to decimals is really easy! All you need to do is divide the numerator by the denominator.

**Example 2 :**

If we needed to convert into a decimal, all we need to do is take **5** and divide it by** 8**

**5 ÷ 8 = 0. 875** therefore = **0.375 **

Calculators are also really handy when you’re trying to find the answer to a question that might take a lot of working out.

**Example 3 :**

Let’s say the question we’ve been given is ‘find two numbers that add together to make **20** and multiply together to make **96’**.

We know which pairs of numbers will add together to make **20** so let’s do a couple of sums to try and guess the answer.

**10 x 10 = 100** – this answer is too big

**15 x 5 = 75** – this answer is too small

The real answer must be in between these two

**12 x 8 = 96** – we got the right answer

With a calculator, we could have done lots of sums very quickly to get the right answer.

*Calculators Exercise*

**1) Using a calculator, write the answer to the following 49.14 ÷6.3=**

**2) Angle has three pieces of rope. The first is 250cm and the second is 176cm. The third pieces of rope has a length thats exactly between the first and the second pieces.**

**3) Priya’s school was having a bun sale. They managed to sell 423 buy at 25p each. How much money did they make?**

** 4) Change these fraction into decimals **

a) 3/8 b) 3/5 c) 1/3

**5) If the area of a neom is 81 m2 , what is the length of one side?**

** 6) Write in the missing number **

134.76 ÷ = 112.3

**7) (18 + 42)×(76 – 67) =**

**8) Harmony is thinking of a number.If she multiplies it by itself 3 times, the answer is 512. What is the number ? **