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LCM and HCF

LCM means Lowest Common Multiple and HCF means Highest Common Factor. There sre 4 parts to this: Basic LCM: Find the LCM of 4, 6 and 8....

Translations

Today we're going to be doing translations. I must add that my vectors look like this: (3) (4) When the actual ones only have 1 big...

Reflections

Now we're going to look at transformations. There are many different kinds, and the first we'll do is reflections. Let's sat we're given...

Inequalities

This is an inequality: 2 < 4 Which means 2 is less than 4. Sometimes, you get inequalities with variables: x + 9 > 4 And you have to...

Solving harder quadratics - factorising

All the equations we've looked at so far began with x2. But what if there were equations that began with 2x2, 3x2, or even 900x2? That's...

Solving quadratics - factorising

Here I'm going to show you how to solve basic quadratic equations. Here's our question: Solve x2 + 5x + 4 = 0. An important point here is...

Sin, Cos and Tan

Sin, Cos and Tan are confusing to many students. But the basic concept is - you don't need to know what they actually are. They're just...

Indices

Advance warning - I cannot type indices properly, so I am just doing x^2 for x squared, etc. For those who are new entirely to this...

Dividing fractions

Hello again! Today we're going to look at dividing fractions. Please note that any mixed numbers will need to be converted to improper...

Improper fractions to mixed numbers

We've managed to convert mixed numbers to imoproper fractions, so let's try it the other way around. Our question is: Write 13/6 as a...

Mixed numbers to improper fractions

Sometimes we might get a question like this: Convert 3 1/4 into an improper fraction. First we multiply the number (3) by the denominator...

Multiplying algebraic fractions

These are basically the same as multiplying normal fractions, only with variables in them. I would advise looking at multiplying...

Simple algebraic fractions

Complex algebraic fractions can be very hard to explain, so I'm just going to cover the simpler ones in this topic. Don't worry, though -...

Multiplying fractions

Ok, let's say we're given this question: Calculate 1/2 x 1/3 First of all, we multiply the numerators (the numbers on top): 1 x 1 = 1 And...

Similarity: volume

Ok, so now we're going to look at similarity in the volumes of shapes. Let's try a quick question: These shapes are similar. Find the...

Similarity: area

Now we're going to look at similarity in areas of shapes. If you haven't already, go to similarity: length and make sure you know that...

Similarity: length

First, you need to know a bit about congruence: Two shapes are congruent if they are exactly the same size, and all their lengths and...

Calculating percentage increase

So, let's say we're given this question: Poppy has £6. Her mum gives her an extra £2. Calculate the percentage increase in Poppy's money....

Area of a circle

The area of a circle is the amount of space inside it. Here is a question: Find the area of this circle. Ok, so first we need to know the...

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