Transformation of Functions

This is a useful topic as it brings a lot of ideas abut patterns, equations, functions, tables and graphs together.

All the transformations can be studied here. 


Also, make sure that you know how to get the roots of a quadratic equation from the graph. this is often included in the same question.

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Mocks 2015

You can find the marks per question here.

The general topic of each question is listed below - use this to check the areas that need most work. The exact number of questions and the order of topics can be exected to change from year to year.

Paper 1
1	Number
2	Sets
3	Sets
4	Algebra
5	Compound interest type
6	Quadratic
7	Speed
8	Simultaneous
9	Inequalities
10	Pythagoras
11	Length
12	Subject of Equation
13	Linear Pattern
14	Quadratic Pattern
15	Functions
16	Quadratic Graph
Paper 2
1	Length, Area etc
2	Stats
3	Probability
4	Statistics
5	Trigonometry
6	Geometry triangles
7	Counting  and %
8	Trigonometry
9	Coordinate Geometry
10	Transformations
11	Theorem
12	Construction

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Co-ordinate Geometry Part 1
Worksheet - remember to find the hypotenuse you will need to use the theorem of Pythagoras. Spend a bit of time on question 1-3 it will help you to understand some of the ideas in co-ordinate geometry. You will find the applet for Q.3 here. Although you have the formulas in the tables it is very important to know where to find them, which ones you need to use and how to use them. Some notes and questions on co-ordinate geometry are available here.

Earlier this year you did an exercise on the equation of a line. The last part of the revison worksheet is on the equation of a line - remember that there are two formulas for the equation of a line in the maths tables - make sure that you use the right one. some answers for Q1-3 are here and the answers to Q4 to 6 are available below as a pencast.

Equation of a line worksheet Q.4 to Q.6
brought to you by Livescribe

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Circle Theorems

Play around with these so that you become familiar with the different shapes and patterns.

Interactive animations on circle theorems and corollaries.

Four things to know about angles and circles.

1. The angle at the centre is twice the angle on the circle that marks out the same arc - the diagram below shows different examples of this.

2. Angles  standing on the same arc are equal.

3. The angle in a semi-circle is a right angle (the angle on a diameter is a right angle).

4. The sum of the opposite angles in a cyclic quadrilateral is 180.

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