# Edexcel Maths GCSE. Revision Support Booklet

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Edexcel Maths GCSE Revision Support Booklet

2 GCSE Maths Exam Dates 2015 Paper 1 Paper 2 (calculator) Thursday 4 th June am Monday 8 th June am

4 Working together 20 Key C Grade areas. Please discuss these areas, rate them then use revision materials to help revise them. Rate again at the end- which can you REALLY do? 1. Sharing out an amount in a given ratio 2. Rounding numbers to one or two decimal places, or to one significant figure. 3. Add/subtract and multiply/divide fractions 4. Estimate the mean from a grouped frequency table 5. Compare two sets of data using an average and the range 6. Expectation in probability/relative frequency 7. Converting between fractions, decimals and percentages. 8. Prime factorisation 9. Factorising a single bracket 10. Substituting numbers (especially negatives) into an algebraic expression 11. Solving an equation, especially with the unknown on both sides 12. Sequences, and the n th term 13. Drawing and recognising straight line graphs 14. Working out one number as a percentage of another 15. Finding the area and circumference of a circle 16. Finding and explaining missing angles on parallel lines 17. Gaining full marks on a trial and improvement question 18. Describing a rotation, reflection or translation 19. Using Pythagoras Theorem 20. Finding the surface area of prisms

5 If you are doing the HIGHER level exam, the key additional topics for you to learn are: 1. Trigonometry 2. Probability tree diagrams 3. Quadratic Equations 4. Simultaneous Equations 5. Cumulative Frequency 6. Reverse Percentages 7. Circle Theorems 8. Compound Interest If you can really do all of the above; not just recognise the words, but actually do questions on them, then you will get a C grade. Good luck!

6 Working together Questions to ask your child, if they cannot answer then this is something they need to revise: Number Questions Can you explain to me how to add two fractions with different denominators? Can you tell me the decimal equivalent of 1/4? 1/5? 3/20? What is 4.28 to one decimal place? How would you share 65 in the ratio 3:2? Can you round 57,346 to one significant figure? Can you explain to me the difference between a factor and a multiple? What is negative 4 add negative 7? What are the rules about multiplying and dividing with powers? How do you split a number up into it s prime factors? What is an improper fraction? What is 16 as a percentage of 20? How do you increase 40 by 15%, without a calculator? How do you add 3.5 and 4.06? Estimate the product of 4.79 and What is the answer to 0.3 x 0.2? Data Questions What does frequency mean?

7 The mode of some numbers is 5. What does this mean? Explain how to find the median of this list of numbers; 8, 8, 2, 4, 5, 3 What is the difference between continuous and discrete data? What is a data collection sheet? How do you start to draw a pie chart? What do you always need to remember when you draw a stem-andleaf diagram? What is the probability of rolling a 5 on an ordinary dice? If the probability that it rains today is 0.4, what is the probability that it doesn t rain? Algebra Questions How would you expand 5(y 2)? What is the value of 3f + 2t, if f = 4 and t = -5? What is factorising? Solve 6k 4 = 26 Solve 4x + 3 = 2 How do you solve an equation when the unknown is on both sides? What is the 7 th term of the sequence 5n + 2? What is the n th term rule for the sequence 7, 13, 19...? What can you tell me about the line y = 3x -4? It s gradient? Trial and Improvement questions always ask for the answer to 1 decimal place. What does this mean? How do you get full marks? What does the graph of x = 2 look like? What about y = -4? y = x?

8 What shape will the graph of x 2 + 3x 2 be? Shape Questions What does order of rotational symmetry mean? Which formula do you need for the circumference of a circle? Area? Explain Pythagoras Theorem, what are the two types of question? How many miles is equivalent to 15km? How do you work out the bearing of town A from town B? What equipment do you need for constructions and loci questions? Why do you need a pair of compasses? What is the difference between perimeter and area? An answer for a volume question is 32cm 2. How do you know this is wrong? What s so special about a regular polygon? Explain how to find the area of a triangle. What are Alternate angles? Corresponding? Allied? Draw a rough sketch to show these types of angles. The diameter of a circle is 5cm. How do you find it s area? How do you find the area of a semi-circle? What does a question mean when it asks for the midpoint on a line? What does translate mean? Is there a special way of writing it? How did you do? Can you answer these questions? What do you need to revise NOW??

9 Working together Some technical words to learn and understand: Increase/decrease Denominator correlation compare mean; median; mode; range outcome sample space diagram expand sum multiple one significant figure highest common factor inequality gradient quadrilateral all of them bearing circumference and π order of rotational symmetry tessellate perimeter ratio frequency grouped frequency table criticise event relative frequency integer factorise product factor congruent least common multiple n th term rule parallel regular external/internal angle prism hypotenuse substitute radius/diameter trial and improvement simplify midpoint

10 Working together Some Key C Grade GCSE Questions- with answers and learning points Sharing in a Ratio An alloy is made from tin and copper. The ratio of the weight of tin to the weight of copper is 1 : 4 Sally made 35 grams of the alloy. Work out the weight of copper she used Add up the parts in the ratio (1+4 = 5). Then divide the total by this amount- this gives you the value for one part (35 5 = 7). Sally has used 4 parts of copper, so 4x7 = 28g copper Calculating with Fractions (a) Work out (b) Work out 5 2 For adding and subtracting, start by changing the fractions so they have a common denominator (for a this is 40, for b this is 12). Work out the new numerators, then add/subtract these. For mixed numbers, turn them into improper fractions first. The answers are a) 31/40 b) 2 11/12 If the question was a multiply, just times the fractions across. For a divide; Keep, Change, Flip! 3 4 Finding the mean from a table The table shows the height of 100 five-year-old boys. Height, h (cm) Frequency Calculate an estimate of the mean height of these boys Find the mid-point of each grouped category (85, 95, 105, 115) and multiply by the frequency for each. Take the total of these values (10,060) and divide it by the total frequency (100). The answer to this question is 100.6cm

11 Factorising Look for what goes into both parts of the expression and place this on the outside of the brackets. To work out what goes inside, see what you have to multiply this by for each part. Answer to a is 5(m + 2) and b is x(x 5) Solving Equations Start by removing the smaller amount of the letter (2x) by subtracting this from both sides. This leaves 2x + 1 = 12. Next remove the +1 by subtracting this from both sides, giving 2x = 11. Finally divide by 2 so x = 5.5 Drawing Straight line Graphs Draw out a table of values X Work out what the y values will y be by taking each number and substituting it into the equation (take each value, times it by 2 then subtract 1). This gives you the coordinates to plot on your graph. Join these up and extend the line the whole size of the graph. The coordinates for this graph are (0, -1), (1,1), (2,3), (3, 5)

13 Pythagoras Theorem Diagram NOT accurately drawn The diagram shows three cities. Norwich is 168 km due East of Leicester. York is 157 km due North of Leicester. Calculate the distance between Norwich and York. Give your answer correct to the nearest km Instead of worrying about a, b and c, students need to simply learn to Square, Add/Subtract, Root. If they want the Biggest side, they add if they want the Smaller side, they subtract So for this question, 157² = ² = Add these = Then square root = 230km Note they will lose a mark if they have not rounded correctly Fractions, Decimals and Percentages Surface Area of Prisms Students need to remember a flow chart for converting so they know how to turn fraction decimal percent. For this question a) 8/100 = 2/25 b) 7/20 = 35/100 = 35%, c) 128/1000 = 16/125 d) 5 8 = Surface Area Calculate the surface area Work out the area of each of the faces separately, then add all of these together. So the two triangles have areas 54m², and the three rectangles are 300m², 240m² and 180m². add these up (including two triangles) to get total SA= 828m²

14 Working together SO- What NOW??? - You should be revising for Maths about 3 times a week (at least) You have 17 weeks (from today)- this could make a MASSIVE difference! - Use this guide, your revision guides, mymaths.co.uk, mathswatch.co.uk, your exercise books, exam papers etc all to help you - You need to be doing as many practice questions as you can. My key topics for revision are: Places to go for help - Every Tuesday and Thursday lunchtime: KS4 Maths clinic Room 44 - Thursday after school Maths revision - Maths tutor group/extra Maths lessons - ANY Maths Teacher ANY time! - Extra revision opportunities later in the year - Half term revision sessions (May)

15 Good Luck with your Maths revision! Please Stay in touch with your teacher- let us know how you are getting on and ask for help if you need it! Parents/guardians, feel free to or phone us any time. Your teachers address can be found below. Mr Cornelius Mr Selwood Mrs Edmunds Mrs Levey Mr Faulkner Mrs Richardson

16

### Decide how many topics you wish to revise at a time (let s say 10).

1 Minute Maths for the Higher Exam (grades B, C and D topics*) Too fast for a first-time use but... brilliant for topics you have already understood and want to quickly revise. for the Foundation Exam

### Key Topics What will ALL students learn? What will the most able students learn?

2013 2014 Scheme of Work Subject MATHS Year 9 Course/ Year Term 1 Key Topics What will ALL students learn? What will the most able students learn? Number Written methods of calculations Decimals Rounding

### Ingleby Manor Scheme of Work : Year 7. Objectives Support L3/4 Core L4/5/6 Extension L6/7

Autumn 1 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Algebra 1 (6 hours) Sequences and functions - Recognize and extend number sequences - Identify the term to term rule - Know

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### Edexcel Maths Linear Topic list HIGHER Edexcel GCSE Maths Linear Exam Topic List - HIGHER

Edexcel GCSE Maths Linear Exam Topic List - HIGHER NUMBER Add, subtract, multiply, divide Order numbers Factors, multiples and primes Write numbers in words Write numbers from words Add, subtract, multiply,

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### Curriculum Overview YR 9 MATHS. SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures

Curriculum Overview YR 9 MATHS AUTUMN Thursday 28th August- Friday 19th December SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures Rounding Rounding Upper and lower

### KS3 Maths Learning Objectives (excludes Year 9 extension objectives)

KS3 Maths Learning Objectives (excludes Year 9 extension objectives) blue Year 7 black Year 8 green Year 9 NUMBER N1 Place value and standard form N1.1 Place value N1.2 Powers of ten Framework Objectives

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### FOREWORD. Executive Secretary

FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Introduction. The Aims & Objectives of the Mathematical Portion of the IBA Entry Test

Introduction The career world is competitive. The competition and the opportunities in the career world become a serious problem for students if they do not do well in Mathematics, because then they are

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### Year 9 set 1 Mathematics notes, to accompany the 9H book.

Part 1: Year 9 set 1 Mathematics notes, to accompany the 9H book. equations 1. (p.1), 1.6 (p. 44), 4.6 (p.196) sequences 3. (p.115) Pupils use the Elmwood Press Essential Maths book by David Raymer (9H

### Section 1: How will you be tested? This section will give you information about the different types of examination papers that are available.

REVISION CHECKLIST for IGCSE Mathematics 0580 A guide for students How to use this guide This guide describes what topics and skills you need to know for your IGCSE Mathematics examination. It will help

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### Utah Core Curriculum for Mathematics

Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions

### EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS

To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires

### Senior Phase Grade 8 Today Planning Pack MATHEMATICS

M780636110236 Senior Phase Grade 8 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 8 2 Lesson Plans: Grade 8 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers...22

### Paper 2 Revision. (compiled in light of the contents of paper1) Higher Tier Edexcel

Paper 2 Revision (compiled in light of the contents of paper1) Higher Tier Edexcel 1 Topic Areas 1. Data Handling 2. Number 3. Shape, Space and Measure 4. Algebra 2 Data Handling Averages Two-way table

### Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5.

Maths Level Targets This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Expected National Curriculum levels for the end of each year group are: Year 1 Year 2 Year

### Maths Targets Year 1 Addition and Subtraction Measures. N / A in year 1.

Number and place value Maths Targets Year 1 Addition and Subtraction Count to and across 100, forwards and backwards beginning with 0 or 1 or from any given number. Count, read and write numbers to 100

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 1FR Centre Number Tuesday 6 January 2015 Afternoon Time: 2 hours Candidate Number Foundation Tier Paper Reference

### This is our prediction for the Calculator Paper. Please note this is only a guide

This is our prediction for the Calculator Paper Please note this is only a guide Topics marked with a H are harder (A/A*) Handling Data Easier Pie Charts Mean Questions Mean from a table Comparing box

### 20 Maths Wordsearch Puzzles

20 Maths Wordsearch Puzzles Licence Duncan Keith 2005 (maths@subtangent.com) This document is released under the Creative Commons Attribution-NonCommercial- ShareAlike 1.0 (UK) licence. You can find the

### Oral and Mental calculation

Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths and hundredths and know what each digit represents. Order and compare

### Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8

Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Year 10 Homework Task for Maths

Year 10 Homework Task for Maths How to be Successful in Maths If you want to do yourself justice you need to: Pay attention at all times Do the classwork set by your teacher Follow your teacher s instructions

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Paper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date

Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write

### Key Stage 3 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical across the curriculum in a ariety of contexts and eeryday situations select, trial

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### Greater Nanticoke Area School District Math Standards: Grade 6

Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place

### Standards and progression point examples

Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to

### 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft

2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite

### New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1

New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 2F Centre Number Monday 12 January 2015 Afternoon Time: 2 hours Candidate Number

### Instructions for SA Completion

Instructions for SA Completion 1- Take notes on these Pythagorean Theorem Course Materials then do and check the associated practice questions for an explanation on how to do the Pythagorean Theorem Substantive

### RAVEN S GUIDE TO BRITISH COLUMBIA LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND

RAVEN S GUIDE TO BRITISH COLUMBIA MATHEMATICS GRADE 6 LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND STUDENT GUIDE AND RESOURCE BOOK Key to Student Success

### Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 3 (Non-Calculator) Thursday 5 November 2009 Morning Time: 1 hour 45 minutes

Centre No. Candidate No. Paper Reference 1 3 8 0 3 H Surname Signature Paper Reference(s) 1380/3H Edexcel GCSE Mathematics (Linear) 1380 Paper 3 (Non-Calculator) Higher Tier Thursday 5 November 2009 Morning

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Edexcel Certificate Edexcel International GCSE Mathematics A Paper 1F Friday 10 May 2013 Afternoon Time: 2 hours Centre Number Candidate Number Foundation Tier

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### St Ninian s High School. I understand this part of the course = I am unsure of this part of the course =

St Ninian s High School Mathematics Department Curriculum for Excellence TJ Book E Pupil Learning Log I understand this part of the course = I am unsure of this part of the course = I do not understand

### A level is a level. Compiled for 2008

Level5opaedia A level is a level Compiled for www.glosmaths.org, 2008 Please note that Using and Applying assessment criteria are not included within the Levelopaedia Numbers and the Number System Use

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 3HR Centre Number Tuesday 6 January 015 Afternoon Time: hours Candidate Number Higher Tier Paper Reference

### DGSB Calculator Paper Revision Tips

DGSB Calculator Paper Revision Tips The following topics are highly likely to be in the calculator paper. Therefore, make sure that you do the following to be fully prepared for these topics: 1. Work through

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 2. SURFACE AREAS OF SOLIDS If you need to know more about plane shapes, areas, perimeters, solids or volumes of solids, please refer to CONNECT: Areas, Perimeters 1. AREAS

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Monday 1 January 015 Afternoon Time: hours Candidate Number

### Mathematics. GCSE subject content and assessment objectives

Mathematics GCSE subject content and assessment objectives June 2013 Contents Introduction 3 Subject content 4 Assessment objectives 11 Appendix: Mathematical formulae 12 2 Introduction GCSE subject criteria

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### I know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10

Mathematics Targets Moving from Level W and working towards level 1c I can count from 1 to 10 I know and write all my numbers to 10 I know when I have written a number backwards and can correct it when

### Knowing and Using Number Facts

Knowing and Using Number Facts Use knowledge of place value and Use knowledge of place value and addition and subtraction of two-digit multiplication facts to 10 10 to numbers to derive sums and derive

### Stage 1 Higher Revision Sheet

Stage 1 Higher Revision Sheet This document attempts to sum up the contents of the Higher Tier Stage 1 Module. There are two exams, each 25 minutes long. One allows use of a calculator and the other doesn

### GCSE MATHEMATICS. 43602H Unit 2: Number and Algebra (Higher) Report on the Examination. Specification 4360 November 2014. Version: 1.

GCSE MATHEMATICS 43602H Unit 2: Number and Algebra (Higher) Report on the Examination Specification 4360 November 2014 Version: 1.0 Further copies of this Report are available from aqa.org.uk Copyright

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### Express a whole number as a product of its prime factors. e.g

Subject OCR 1 Number Operations and Integers 1.01 Calculations with integers 1.01a Four rules Use non-calculator methods to calculate the sum, difference, product and quotient of positive and negative

### Park Forest Math Team. Meet #5. Algebra. Self-study Packet

Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number

### Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Monday 7 June 2010 Afternoon Time: 1 hour

### LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Centre No. Candidate No. Paper Reference 1 3 8 0 3 H Paper Reference(s) 1380/3H Edexcel GCSE Mathematics (Linear) 1380 Paper 3 (Non-Calculator) Higher Tier Monday 18 May 2009 Afternoon Time: 1 hour 45

### Year 9 mathematics test

Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### COMPASS Numerical Skills/Pre-Algebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13

COMPASS Numerical Skills/Pre-Algebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre

### Senior Phase Grade 9 Today Planning Pack MATHEMATICS

M780636110304 Senior Phase Grade 9 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 9 2 Lesson Plans: Grade 9 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers 19

### Mathematics programmes of study: key stage 3. National curriculum in England

Mathematics programmes of study: key stage 3 National curriculum in England September 2013 Purpose of study Mathematics is a creative and highly inter-connected discipline that has been developed over

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### 100 Math Facts 6 th Grade

100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Curriculum Map Grade: _7 th Basic Math School: _ Middle Date: Oct. 31/2009

August/ September Review basic skills of add, subtract, multiply, and divide whole numbers and fractions. (skill with a # assessed locally.) Students will add, subtract, multiply, and divide positive rational

### Mathematics standards

Mathematics standards Grade 6 Summary of students performance by the end of Grade 6 Reasoning and problem solving Students represent and interpret routine and non-routine mathematical problems in a range

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

### ModuMath Algebra Lessons

ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

### PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

### This tutorial is designed to be a very basic review of some of the subjects that are being tested with the ELM test.

This tutorial is designed to be a very basic review of some of the subjects that are being tested with the ELM test. It is not a fully inclusive study of these subjects. It is meant to be a short superficial

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### Key Stage 2 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and

### Math Grade 11 Assessment Anchors and Eligible Content

Math Grade 11 Assessment Anchors and Eligible Content Pennsylvania Department of Education www.pde.state.pa.us Updated August 2010 M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers,

### AQA Qualifications GCSE MATHEMATICS. Topic tests Higher tier - Mark schemes

AQA Qualifications GCSE MATHEMATICS Topic tests Higher tier - Mark schemes Our specification is published on our website (www.aqa.org.uk). We will let centres know in writing about any changes to the specification.

### Excel / Education. GCSE Mathematics. Paper 3A (Non-Calculator) Higher Tier. Time: 2 hours. Turn over

Excel / Education GCSE Mathematics Paper 3A (Non-Calculator) Higher Tier Time: 2 hours 3A Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen,

### Year 1 maths expectations (New Curriculum)

Year 1 maths expectations Counts to and across 100, forwards and backwards, beginning with 0 or one, or from any given number Counts, reads and writes numbers to 100 in numerals; counts in multiples of