Board Exam Paper Download AQA AQA GCSE Mathematics A (4360) June 2016 Unit 1: Statistics and Number 43601F – Foundation Q A AQA AQA GCSE Mathematics A (4360) June 2016 Unit 1: Statistics and Number 43601H – Higher Q A AQA AQA GCSE Mathematics A (4360) June 2016 Unit 2: Number and Algebra 43602F –

## Triangle Intercept Theorem

If CB and DE are parallel, the ratio of CD to DA and the ratio of BE to EA are equal. In other words, CD/DA = BE/EA . This is often a useful way of solving triangle problems and can be derived from the properties of similar triangles.

## Sine and Cosine Formulae

sin x = sin (180 – x) e.g. sin 130 = sin (180 – 130) = sin 50 cos x = -cos (180 – x) The Sine Rule: This works in any triangle: a = b = c sinA sinB sinC alternatively, sinA = sinB = sinC a

## Sin, Cos, Tan Graphs

In any right angled triangle, for any angle: The sine of the angle = the length of the opposite side the length of the hypotenuse The cosine of the angle = the length of the adjacent side the length of the hypotenuse The tangent of the angle = the length of the opposite side the

## Similar Triangles

If two shapes are similar, one is an enlargement of the other. This means that the two shapes will have the same angles and their sides will be in the same proportion (e.g. the sides of one triangle will all be 3 times the sides of the other etc.). angle A = angle D angle

## Probability

Introduction Probability is the likelihood or chance of an event occurring. Probability = the number of ways of achieving success the total number of possible outcomes For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible

## Cumulative Frequency

This is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve. Example: Frequency: Cumulative frequency: 4 4 6 10 (4 + 6) 3 13 (4 + 6 +

## Loci & Constructions

A locus is a set of points satisfying a certain condition. The term ‘locus’, however, is rarely used in exams. The question is more likely to be of this format: Example: The diagram shows two points P and Q. On the diagram shade the region which contains all the points which satisfy both the following:

## Circle Theorems

The red line in the second diagram is called a chord. It divides the circle into a major segment and a minor segment. The diagrams show that: a) The angle formed at the centre of the circle by lines originating from two points on the circle’s circumference is double the angle formed on the circumference

## Areas and Volumes

*** Remember, with many exam boards, formulae will be given to you in the exam. However, you need to know how to apply the formulae and learning them (especially the simpler ones) will help you in the exam. *** A prism is a shape with a constant cross section, in other words the cross-section looks

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