Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Number Sequences


A sequence is a list of numbers. The next number of the sequence is found using a rule ( eg. +3 , x2 etc) and every sequence has its own rule. The first thing you need to do when you have a question about sequences is find out what the rule is.

Some of the sequences will be really easy to figure out but others might take a little bit of work. One of the things you could do is find out what the difference is between the numbers that you already have and hopefully you should be able to spot what is going on.

Example 1:

This is the sequence

7, 11, 15, 19, …, …

Let’s find out what the differences are.

Number Sequences example

The pattern is clearly adding four so to find the next two numbers all we have to is carry on adding 4

Example 2:

Let’s try another sequence.

7, 14, 28, 56, …, …

Again, we need to find out what the differences are.

Number Sequences example2 pattren

Sometimes a sequence will be shown as a pattern that is drawn rather than as numbers. In that case, you just have to do the same thing but first write down the numbers in the pattern that you already have first.

number-pattern

1) Complete the sequence.

Number Sequences question1

2) Sally makes bracelets of different sizes. She uses pendantsNumber Sequences question2 bracket and charmsNumber Sequences question2 bracket squareto make the bracelets.

Number Sequences-braclet1 Number Sequences-braclet2 Number Sequences-braclet3

Number Sequences-braclet4

3) The first five multiples of 45 are shown below.
45 90 135 180 215
Boris says; the thirteenth number in the sequence will be 560. What working out the thirteenth number , explain why Boris is wrong.

4) Helen is creating a sequence of number. She starts with the number 2 and creates the next number by squaring it and subtracting 2.
Write down the next four number in the sequence .

Number Sequences question4

5) Add in the missing number in the sequence. Explain the rule used to find the number.

Number Sequences question5

1 2 3 4 5 6  


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