Maths Revision Guide Higher

I'm not sure which exam board this is for, but Maths doesn't change, so look for the parts that you need~ 

And also, someone pointed out that there's a typo somewhere.. but I'm sure you can see that I didn't make this.. I found it online and it was very useful to me, and I thought it'd be useful for others too.

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Revision Guides
GCSE Mathematics
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz-&!?,''.()[]/\*@;:1234567890
Higher Tier
Stafford Burndred
Consultant Editor: Brian Seager, Chairman of Examiners
Ninestiles School

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GCSE Mathematics
Name....................................................................................................................................
Address ................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
Date of exams: (1) ..............................................................................
(2) ................................................................................
Aural .........................................................................
Coursework deadline dates: (1) ..............................................................................
(2) ................................................................................
Exam board ..........................................................................................................................
Syllabus number ...................................................................................................................
Candidate number ...............................................................................................................
Centre number .....................................................................................................................
Further copies of this publication, as well as the guides for Foundation and Intermediate tiers may be obtained from:
Pearson Publishing
Chesterton Mill, French's Road, Cambridge CB4 3NP
Tel 01223 350555 Fax 01223 356484
Email [email protected] Web site http://www.pearson.co.…read more

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Contents
Introduction ........................................................................................... vi
Examiner's tips ........................................................................................... vii
Number skills Rational and irrational numbers ......................................... 1
Calculator skills Using a calculator: Brackets, memory and fractions .......... 2
Using a calculator: Powers, roots and memory ................. 3
Standard form .................................................................... 4
Fractions, decimals and Percentages and fractions.................................................. 5
percentages Calculating growth and decay rates .................................. 6
Number patterns Patterns you must recognise.............................................. 7
Product of primes, highest common factor,
lowest common multiple and reciprocals .......................... 8
Equations Trial and improvement ....................................................... 9
Equations ...........................................................................…read more

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Contents
Angles Intersecting and parallel lines ............................................ 36
Bearings ............................................................................. 37
Similarity Similarity............................................................................. 38
Congruency Congruent triangles ­ 1 ..................................................... 39
Congruent triangles ­ 2 ..................................................... 40
Transformations Combined and inverse transformations............................. 41
Enlargement by a fractional scale factor............................ 42
Enlargement by a negative scale factor............................. 43
Measurement Compound measures......................................................... 44
Time ................................................................................... 45
Upper and lower bounds of numbers ­ 1.......................... 46
Upper and lower bounds of numbers ­ 2.......................... 47
Circles Length, area and volume of shapes with curves................…read more

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Contents
Questionnaires Designing questionnaires................................................... 72
Sampling ............................................................................ 73
Hypotheses ........................................................................ 74
Tables and graphs Comparing data ................................................................. 75
Histograms ......................................................................... 76
Grouped data..................................................................... 77
Cumulative frequency Cumulative frequency ........................................................ 78
Using cumulative frequency diagrams
to compare distributions .................................................... 79
Standard deviation Standard deviation ............................................................. 80
The normal distribution...................................................... 81
Scatter diagrams Line of best fit .................................................................... 82
Probability Estimation of probability by experiment ........................... 83
Tree diagrams..................................................................... 84
Conditional and independent probability ......................... 85
Probability (and, or)............................................................ 86
Probability (at least)............................................................…read more

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Introduction
The aim of this guide is to ensure you pass your exam and maybe even achieve a
higher grade than you expect to. Ask your teacher to explain any points that you
don't understand. You will have to work hard at your revision. Just reading this book
will not be enough. You should also try to work through the tests at the back and any
past papers that your teacher might set you to ensure that you get enough practice.…read more

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Examiner's tips
Success in exams depends in no small part on how you approach the actual papers on
the day. The following suggestions are designed to improve your exam technique.
· Read carefully the instructions on the paper.
· If you only have to answer some of the questions, read the questions and choose
which to do.
· If the instructions say "Answer all the questions", work steadily through the paper,
leaving out any questions you cannot do. Return to these later.…read more

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Examiner's tips
Exam questions often use these words:
"Show your working"
You must show your working. If you give a correct answer without working you will
receive no marks.
"Do not use a calculator"
You must show enough working to convince the examiner that you have not used a
calculator. (But you should still check your answer with a calculator.)
"Check using an approximation" or "Estimate" or "Give an approximate answer"
You must show your method and working.…read more

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Number skills
We use numbers every day of our lives. You need to be confident in the basic number skills.
Rational and irrational numbers
You are expected to know the difference between a rational and an irrational number.
A rational number is any number that can be written as a fraction.
Rational numbers include 5, -7, 3 , 5·628, 81, 3 125, 7·3, 5·217
7
3
81 = 9 125 = 5
An irrational number is any number that cannot be written as a fraction.…read more

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Calculator skills
Your calculator can be your best friend or your worst enemy. Spend some time learning to
use it. You must buy a calculator with a fraction key a bc . You will be shown how to use a
calculator but if the keys shown do not work ask your teacher for help.
Using a calculator: Brackets, memory and fractions
Most calculators automatically use algebraic logic and can work out the answers. Your
task is to use the correct keys.…read more

Comments

Ettie

Such a great revision resource. Thank you :)

sadia

Thanks soooo much, you have helped me loads!!!

dclayson

  1. Thank you
dclayson

  1. Thank you
dclayson

  1. Great revision guide
dclayson

  1. Great revision guide
dclayson

  1. Great revision guide
FutureMedic

No problem! Glad it helps :)

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