Speed is probably the easiest of the 3 compound measures to understand (the other 2 compound measures are Density and Force). We all know about speed of […]More…

# Category: Geometry

# 3D Shapes

Below are the most common 3D shapes you will come across and with 3D shapes, you need to be able to work out the volume of these […]More…

# Circle Theorems (IV – VII)

This article is a continuation of part 1 on circle theorems and covers theorems 4 to 7.

# Circle Theorems (I – III)

Circle theorems are a set or rules you can use to arrive at the correct value of angles in a circle. In this article we will look […]More…

# Find a missing angle – non right angle triangle

For non right angle triangles, finding a missing angle requires the use of either the sine rule of the cosine rule. Which one to use will depend […]More…

# Bearings – three examples

Bearings measure direction of travel from the north, clockwise. There are three points that MUST be considered when working with bearings. Measurememts MUST be done clockwise. All […]More…

# Congruent vs Similar Shapes

The question of whether 2 shapes are congruent or similar is often asked of students. In fact the answer to this question is very simple.

# Alternate Segment Theorem Explained

Perhaps the most complicated of the seven circle theorems. Watch this animated video and hopefully all will be clear… Part 1 shows how to identify the angle […]More…

# Shapes – Circle

This post looks at various elements of a circle including: radius, diameter, circumference, arc, chord, tangent, segment, sector and also how to work out the area of […]More…

# Triangles / Pythagoras

In this post, we will look at types of triangles and Pythagoras theorem with examples.

# Surface Area of Solid Shapes

A reference page showing the formulas of the surface area of some common basic and composite shapes, including: Rectangular Prism Triangular Prism Pyramid Cone Sphere Cylinder Composite […]More…

# Trig Ratios – Must Know Values

There are many ways that allow you to work out the values for the trigonometric ratios of the most common angles (0°, 30°, 45°, 60°, and 90° […]More…

# Trigonometric Ratios (Sine / Cosine / Tangent)

You use the trigonometric ratios when you are given a side and an angle in a right angle triangle and are asked to find a missing side. […]More…

# Similar Shapes – Area & Volume

Calculating the area or volume of similar shapes relies on two very simple formulae you need to know. These are the ‘Area Scale Factor (Area SF)’ and […]More…

# Find a missing angle – right angle triangle

In a right-angle triangle, if you are given the triangle sides and are asked to find the corresponding angles, you use the inverse trigonometric ratios: inverse sine, […]More…

# Similar Shapes

Similarity in mathematics has a precise meaning, unlike its usage in everyday life. 2 shapes are said to be similar if they fulfill the following 2 conditions:

# Pythagoras Theorem — Are you making this mistake ?

The theory… Given a right-angle triangle ABC, with sides a, b and c – we can use Pythagoras theorem to find one side of the triangle if […]More…

# Shapes – Areas

This is a quick reference for working out the Area of the following shapes: circle, triangle, rectangle, parallelogram, trapezium and rhombus.

# Shapes – Polygons

Polygons are 2D closed shapes having straight sides. Although the smallest number of sides a polygon can have is 3; we will look at a polygons having […]More…