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Circumfrence of a circle

The circumfrence of a circle is the length all arund the edge of the circle. Let's start with this question: Find the circumfrence of...

Angles in a triangle

This is similar to angles in a quadrilateral, but remember, the angles always add up to 180 degrees, not 360. Let's try this question:...

Mean, median, and mode

There are really 3 different parts of this topic: 1: Calculating the mean (average) So, let's say we have this set of numbers: 3, 7, 4, 8...

Simultaneous equations

This is where you are given 2 different equations with 2 different variables: (1) x - y = 5 (2) x + 2y = 11 Ok, so where do we start?...

Quadratic graphs

Quadratic graphs follow the same basic procedure as straight-line graphs - only they're a little different: Draw the graph of y = x2 - 2x...

Sets with Venn diagrams

Welcome to the harder sets content, using Venn diagrams. So, we get this question: List the elements of a) A b) A ⋂ B c) A ⋃ B Ok,...

Sets - basic

So, we have the set A. The things in set A are called ELEMENTS of set A. Let's say: A = {months of the year with less than 31 days} List...

Adding and subtracting fractions

This looks hard, but is actually really simple. Try this: 3/8 + 1/4. Give your answer in its simplest form. First, we need a common...

Percentages, fractions and decimals

First of all, we need to know how to convert between percentages, fractions and decimals: Percentage - divide by 100 - Decimal - place...

Factorising quadratics

Ok, so factorising is the opposite of expanding - you put the expression back in the brackets! (This can be used to solve quadratic...

Expanding double brackets

This is pretty much the same as single brackets, except more complex. For example: Expand and simplify (x + 2)(x - 3). So, we multiply...

Angles in a quadrilateral

Right, so let's say we're given this question: Find the angle labelled x. Ok, so we know angles in a quadrilateral add up to 360 degrees....

Straight-line graphs

Well, suppose we get this question: Draw the graph of y = x + 3 for the values of x -5 to 2. Ok, so we know x is the horizontal axis and...

Pythagoras' theorem

Ok, so this is our question: Find the length of the hypotenuse. So, what's the hypotenuse? It's basically a word for the longest side in...

Writing formulae

Right, so we get this question: Laura buys x apples. James is going to buy twice as many apples as Laura, but he decides to put 3 back....

Calculating probabilities

So, the question says: A box contains 15 counters, numbered 1 - 15. If a counter is drawn at random, calculate the probability that the...

Solving linear equations

Let's say this is our question: Solve the equation x + 2 = 2x + 9 What we want is for x to be on its own, because then we can find out...

Simplifying like terms

OK, so we get this question: Simplify 3x + 6x + 7x + 9 - 11. First, we need to work out which terms are "like" - for example, 3 and 6...

Dividing in a given ratio

Let's say we're given this question: Divide £108 in the ratio 4:5. So, we now add 4 to 5. 4 + 5 = 9. Now we divide 108 by 9. 108/9 = 12....

Finding the nth term

Ok, so here is a sequence: 45, 42, 39, 36 Say we wanted to find a specific "term" of the sequence - e.g. the 10th term or the 100th term....

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