**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 **

*Measures Problems*

- Whenever you have to tackle a question which has
**different types of units**in it, it is important to make sure that you first**convert all**the**values**that are involved so that they have the**same units**before doing the sum.

- If you don’t do this, the questions
**can get very tricky**.

**Example 1 :**

Let’s say that we are **baking a sponge cake** and we need to know how much **flour** is in the **recipe**.

This is the recipe.

**0.5kg** plain flour

**2** eggs

**300g** self-raising flour

**100 ml** of milk

**400g** butter

If we want to know how much** flour** we need in total, we would need to convert both types of flour to same units – one is in grams and the other is in kilograms.

**0.5kg = 500g** so we need **500g** of plain flour and **300g** of self-raising flour, which makes 800g of flour all together.

**1) Leslie buys a 200cm long bar of chocolate .****She splits it between 8 people.**

- How many CM of chocolate does each person receive?
- How much chocolate will each person receive if the chocolate bar is split between 4 people.Give your answer in metres

**2) There is a special offer. 1500ml bottles of lemonade now cointain 25% extra tree.How many ml of lemonade is there in a promotional bottle?**

**3) A gardener wants to install a tence around his garden.A section of tencing measure 2,75m long.The total perimeter of the garden is 228m.**

a. How many sections of tencing does the gardner need?

b. What length of tencing will remain ? m.

**4) Matthew cycles to school everyday.The distance from his heuse to school and back is 1400m**

a) How far has Mathew travelled in five days?

b)Mathew travelled 23800 metres.How many days did he go school for.

SHOW YOUR WORKING

**5) James knows 1 inch is about 2.5cm . James measures the weight of his door which is 78 inches .what is the height of his door in CM?**