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…