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
Conversion of Units
In the UK, we use the metric scale for measurements.
For different measurements, there will be different units.
For length, we can use millimetres (mm), centimetres (cm), metres (m) or kilometres (km). The unit we use depends on the length of what we are measuring – for example, it would be a little bit silly to use millimetres to measure the distance between London and Paris.
For mass (how much something weighs), we can use the units of grams (g), kilograms (kg) and tonnes (t).
For capacity (how much liquid is held), we can use millilitres (ml), centilitres (cl) or litres (l)
Sometimes we need to be able to convert between different units, so it is important to know how much of one unit makes up another.
Capacity 10ml = 1 cl 100cl = 1l 1000ml = 1l

Mass 1000g = 1kg 1000kg = 1 t 
Length 10mm = 1cm 100cm = 1m 1000mm = 1m 1000m = 1km 
If you want to convert between units, you first have to look at the converting fact of those units. Going from a larger unit (like litres ) to a smaller unit (like millilitres) is always multiplication and going from a smaller unit to a larger unit is always division.
Example 1 :
Let’s say that the question is asking us to convert 382g into kg.
1. We have to find the conversion fact for grams to kilograms
1000g = 1kg
2. Next, we have to decide if the unit are becoming smaller or bigger, so we know whether to multiply or divide.
Kilograms are bigger than grams so we have to divide.
3. Finally we can do the sum (We divide by 1000 because kg is 1000x bigger).
382 ÷ 1000 = 0.382 kg
There is also another method of measurement which is used less frequently nowadays called the Imperial scale.
We still need to know how to convert some metric measurements to Imperial measurements and back, though. This table shows some of the most common conversions.
Metric to Imperial
8km = 5 miles
1kg = 2 pounds
1l = 2 pints
4.5 l = 1 gallon/ 8 pints
It’s important to remember that all these measurements are approximate, so they won’t be fully correct
If we want to convert between units that do not convert easily like multiplying by ten or hundred, there is another method we can use.
Example 2 :
Let’s say that we wanted to convert 35 miles into >kilometres.
1.> Firstly, we find the conversion rule.
5 miles = 8km
2. Secondly, we compare the number we have to the number in the> conversion rule.
3.> Finally, we do the same thing to the other side of the> conversion fact.
1)
a. There are ml in one litre
b. There are CM in one metre
c. There are g in the kilogram.
2) A baker is preparing to bake a cake. He wants to convert all his imperial units into metric units.
Imperial Metric
2 pounds 1 kg
1 ounce 30 gram
a. He require 3 pounds of flour. How many kg is this ?
b. He uses 7 ounces of sugar. How many grams is this ?
3) Ellie measures the length of her hair.its 47 CM long.
 How many mm is this?
 She cuts a selection of hair and weight it.if weight 0.015kg. How many grams is this?
4)
 On a road trip,since spots a sign.
Diggle 48km 
a) Since deduces that 8 km is the same as 5 miles .how many miles is it to diggle?
Miles
b)Simon is 35 miles away from the nearest petrol station. How many km is this?
Km
5) Convert 3050ml into litres.
Litres