Most Popular In Algebra

Factorising quadratics

Factorising Quadratics

Sometimes you might be asked to factorise expressions. Factorising is the opposite of multiplying out brackets - i.e. putting an expression ...
simultaneous equations

Simultaneous Equations

These are equations you need to solve at the same time...but there's two types you could get..one of which is probably the toughest thing in...
inequalities

Inequalities

These are a bit like equations....but with one really big exception! The Symbols > Means greater than < Means less than <≥ Mean...
algebra in fractions

Algebra In Fractions

Some questions could involve BOTH algebra and fractions. Double the fun. You Can Cancel Terms On The Top And Bottomso 2x2 y4/ xy just bec...
completing the square

Completing The Square

This is one of the trickiest things you have to do. Basically you have to express a quadratic as a squared bracket with a number on the end ...
The quadratic formula

The Quadratic Formula

This solves any equation in the form ax² + bx + c = 0. It's usually given in an exam...but you should learn it and how to use it. Thi...

Most Popular in Geometry

Mass, density and volume triangle

Density And Speed

These two are easy to work out if you remember the triangle trick: DensityDensity is mass per unit volume. It is written, for example, li...
pyramid volume

Volumes

Formulas...formulas....formulas.... Volume Of A CuboidSimple! A cuboid is just a regular block. The volume is just length times height ti...
cone volume

Surface Area

If dealing with 3D shapes you might be asked to find the surface area of a shape. One way may be to look at its net. Nets A net is jus...
area of a trapezium

Areas

Sorry! It's another page of tedious formulae. Area Of A TriangleHalf the base times the height.0.5 x h x bArea Of A ParallelogramBase tim...
The angle at the centre of a circle is double that at the circumference

Circle Geometry

There are more rules about a circle than you would expect. Learn them all though and you'll be able to outfox the examiner. A Tangent And...
parallel lines

Parallel Lines

Parallel lines are always the same distance apart ("equidistant") and will never meet. Examiners love to throw in a question or two about th...

Most Popular In Statistics

basic probability

Basic Probability

All Probabilities Are Between 0 And 1 A probability of 1 means something is certain to happen A probability of 0 means something d...
correlation and scatter graphs

Scatter Graphs

Scatter graphs tell you how closely two things are related....which is called "correlation".If you can draw a line of best fit on your graph...
histogram chart

Histograms and Frequency Density

Histograms are like bar charts but the bars can have different widths...and the area of the bar shows the frequency...sounds confusing right...
cumulative frequency graph showing median, quartile one and quartile three.

Cumulative Frequency

Cumulative frequency means you just keep a running total as you go along. Example: The table below shows the lengths of 32 bananas. Draw a c...
sampling and bias

Sampling And Bias

Representative Sample DataThe total group you want to find out about is called the population...but you might not to be able to get data for...
mean, median, mode and range

Mean, Median, Mode and Range

Mode = The Most CommonThis is easy to find in tallied data and is not distorted by extreme values. However sometimes it doesn't exist or the...

Most Popular In Graphs

gradient equation

Finding The Gradient

The gradient just measures how steep the graph is. The bigger the gradient, the steeper it is.You should learn the following formula:So let'...
parallel lines

Parallel And Perpendicular Lines

Parallel LinesThese are just lines that have the same gradient. Above you will see the lines for y = 1.5x +1 and y = 1.5x - 0.5.It doesn...
quadratic graph example

Quadratic Graphs

Quadratic graphs sound hard...but they're not really! They are simply just graphs in this format: y = x2 + anything To plot a quadrat...
circle graph

Other Types Of Graph

There are some other types of graph that you should be familiar with: Quadratic Graphs and Quadratic Equations You may be asked to use...
y shift

Transforming Graphs

BEWARE! THIS IS HARD!! NOTE: f(x) just means an equation like y = something x. It's not something to be scared by!There are a few ways yo...
straight line graphs

Straight Line Graphs

A straight line graph can contain: an x term a y term a number So if you only see these terms in an equation, you know you ar...

Most Popular In Numbers

types of number

Types Of Number

In some of the wordier questions examiners might throw in a few terms like "integer" or "irrational number", so make sure you know what thes...
ratios explained

Ratios

Ratios look like this.......and there's a few things you might be asked to do with them. Simplify A Ratio E.g. Reduce 7.2 : 6 to its s...
percentage change formula

Simple and Compound Growth/Decay

Simple growth is well....simple. It basically means a percentage of the original amount is added on at certain intervals.So if £100 gains 10...
percentage-change-formula

Percentages

There's a few things you might be asked to do with percentages.... Find X% of YJust turn the percentage into a decimal then multiply.So 3...

Most Popular In Trigonometry

vector arrows

Vectors

A vector quantity has both size and direction.There's a few way vectors are written. For example if a vector goes 3 units right and 4 units ...
3d trig example

3D Trigonometry

Trig can look really scary in 3D....but if you keep calm and simplify it by drawing it as 2D shapes you'll be rewarded with an A*. Exampl...
pythagoras theorem

Pythagoras’ Theorem

This only works for right angled triangles!Examiners love to give you "distance between two points" questions that involve this theorem. ...
trigonometry triangles

Sin, Cos, Tan

There's three different sides to a triangle: The hypotenuse is the longest side The opposite is the side opposite to the angle being u...
sine and cosine notation

The Sine and Cosine Rules

SOH CAH TOA applies to right angled triangles....but when you have other triangles the sine and cosine rules come into play. In the followin...
3d pythagoras in a cuboid

3D Pythagoras

With 3D shapes sometimes you need to use Pythagoras more than once to find a particular length.CuboidsThere's a formula in cuboids for findi...