In Part (I), we saw how to work out the coordinates of the turning point on quadratic curve that has solutions – that is the curve crosses […]More…

# How To: Determine if 2 linear equations are parallel or perpendicular to each other

Very often students get ask to show whether 2 linear equations are parallel (or perpendicular – they meet at a 90° angle) to each other when drawn […]More…

# Numbers – Factors, Multiples & Prime Factors

Getting confused with Factors, Multiples and Prime factors ??? Well! here are some examples that will hopefully shed some light on the meaning of these terms. Let’s […]More…

# Numbers – Multipliers

The concept of ‘Multipliers‘ is a useful one to know when dealing with percentage increase (or decrease) as it allows you to work out the ‘final’ value […]More…

# Numbers – Ratio (Sharing) & 1:n

Ratios usually means that there is a sharing part that is taking place. We have a quatity and we want to share it according to a given […]More…

# Fractions – Multiplying & Dividing

Multiplying Fractions. This is perhaps the easiest operation to perform on fractions. It involves multiplying the numerators together and the denominators together.

# Simple Interest vs Compound Interest

Interest calculations fall into two categories. Simple interest and compound interest. With Simple interest, you work out the interest on the initial amount based on the interest […]More…

# 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…

# (R&F) Algebra – Expanding Brackets

Expanding brackest in algebra means you need to multiply the terms inside the brackets by the term (or terms) that are outside the brackets. Below are some […]More…

# (R&F) Algebra – Quadratic Formula

The quadratic formula allows you to work out the solution to a quadratic equation when solving thougth factoring is not possible. Examples 1 – Two solutions Example […]More…

# (R&F) Standard Form Notation / Scientific Notation

It is called standard form notation because no matter how big, or small the number is, it is always written in a specific way. For this reason […]More…

# (R&F) Geometry – Parallel Lines (z-angles/f-angles/c-angles)

When faced with 2 parallel lines and a transversal – that is a line that crosses both parallel lines – you automatically end up with a number […]More…

# Triangles / Pythagoras

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

# Algebra -How To Determine the Equation of a Straight Line

Given a straignt line on a graph, how do you determine the equation for this line? We know that a straight line is of the form y […]More…

# Solving Complex Problems – Where do I start… (I)

There is no doubt that if you want to achieve a high grade in Maths, then you must be able to solve complex problems. Unfortunalty, very often, […]More…

# Numbers – Highest Common Factor (HCF) & Lowest Common Multiple (LCM)

The best way to work out the HCF and LCM of two numbers is to use the prime factor decomposition and Venn Diagram method as it is […]More…

# Numbers – Percentages (%)

This post looks at percentages when used in the following 3 scenarios: Finding the % of an amount. Percentage increase / decrease. Expressing an amount as a […]More…

# Numbers – Reverse Percentages

Perhaps the most complex question when dealing with percentages. Reverse percentages are used when you are asked to find the original amount. For this, we will use […]More…

# Fractions – Adding & Subtracting

Getting to grips with the 4 basic arithmetic operations (Add / Subtract / Multiply / Divide ) when using fractions can easily be achieved once you know […]More…

# 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 post 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…

# (R&F) Algebra – Indices

Working with indices can sometimes be tricky if you don’t know the specific rules of indices. This post shows what the common indices convert to and also […]More…

# (R&F) Numbers – List of Prime Numbers

This is the list of Prime numbers between 1 and 100. A reminder that a prime number is a number that has only two factors: 1 and […]More…

# (R&F) is it or is it not a Prime Number

Have you ever wondered whether there is a way to determine whether a number is a prime number? Well! for numbers less than 285 follow these steps:

# (R&F) Geometry – Sine & Cosine Rules

These 2 rules are used with non-right angle triangles. Which one to use will depend on the data you are given.

# Statistics – Mean, Median, Mode and Range

In data analysis, there are 3 types of ‘Average’; which are Mean, Median and Mode, and one which measures the ‘Spread’, which is the Range. The below […]More…