# Maths Revision Guide Foundation

Maths Revision Guide Foundation

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

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GCSE Mathematics
Name....................................................................................................................................
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Date of exams: (1) ..............................................................................
(2) ................................................................................
Aural .........................................................................
(2) ................................................................................
Exam board ..........................................................................................................................
Syllabus number ...................................................................................................................
Candidate number ...............................................................................................................
Centre number .....................................................................................................................
Further copies of this publication, as well as the guides for Intermediate and Higher 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 Place value ......................................................................... 1
Multiplication facts ............................................................. 2
Negative numbers.............................................................. 3
Solving problems without a calculator............................... 4
Calculation checks.............................................................. 5
Maths without Mental arithmetic shortcuts ­ 1 ......................................... 6
a calculator Mental arithmetic shortcuts ­ 2 ......................................... 7
Decimals............................................................................. 8
Long multiplication and division ........................................ 9
Checking ............................................................................ 10
Fractions, decimals, Fractions and percentages................................................. 11
percentages and ratio Fractions............................................................................. 12
Changing between decimals and percentages ................. 13
Changing between decimals, percentages and fractions..…read more

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Contents
2-D and 3-D shapes Common 2-D shapes ......................................................... 33
2-D representations of 3-D shapes .................................... 34
Properties of quadrilaterals and triangles .......................... 36
Congruent shapes.............................................................. 37
Symmetry Rotational symmetry .......................................................... 38
Symmetry of 2-D shapes ­ 1.............................................. 39
Symmetry of 2-D shapes ­ 2.............................................. 40
Transformations Reflection ........................................................................... 41
Enlargement ­ 1 ................................................................. 42
Enlargement ­ 2 ................................................................. 43
Measurement Metric units of measure ..................................................... 44
Rough metric equivalents of Imperial units .......................…read more

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Contents
Probability Probability .......................................................................... 65
The probability scale.......................................................... 66
Justifying probabilities ....................................................... 67
Probability (and, or)............................................................ 68
Probability: Examination-type questions............................ 69
Questionnaires Designing questionnaires................................................... 70
Diagnostic tests Diagnostic tests ......................................................................... 71
Coursework The following pages may be useful:
Number patterns ....................................................................... 19
Questionnaires........................................................................... 70
Analysing and presenting data.................................................. 54-64
Aural test The following pages may be useful:

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Introduction
The aim of this guide is to ensure you pass your exam and maybe even achieve a
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 diagnostic tests at the
back and any past papers that your teacher might set you to ensure that you get

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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 the instructions on the paper carefully.
· 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,

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Examiner's tips
Exam questions often use these words:
You must show your working. If you give a correct answer without working you will
"Do not use a calculator"
You must show enough working to convince the examiner that you have not used a
"Check using an approximation" or "Estimate" or "Give an approximate answer"

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Number skills
We use numbers every day of our lives. You need to be confident in the basic number skills.
Place value
You need to be able to write numbers in words and write lists of numbers in order of size.
765 432 ­ This means seven hundred and sixty-five thousand, four hundred and thirty-two.
Seven hundred Five thousands Three tens
thousands
7 6 5 4 3 2
Six ten Four hundreds Two units
thousands
Ascending order means going up.…read more

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Number skills
Multiplication facts
You must learn your multiplication tables and know how to multiply and divide by 10,