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Welcome to the mathematics section of First For Learning. Click on one of the sections above or below to begin or see the How to Use page for help getting started. If there are words that you do not understand, try the Key Words page. The exam levels given are a rough guide the syllabus of the exams should be checked. Below is a complete index of this section.

Addition  

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Tables Addition Tables and Exercises * * * * * * *
Level 1 Adding Units and Tens - no carrying * * * * * * *
Level 2 Adding Hundreds and Thousands - no carrying * * * * * * *
Level 3 Adding Tens and Units - carrying * * * * * * *
Level 4 Adding Hundreds and Thousands - carrying * * * * *
Level 5 Adding Three Numbers   * * * *

Subtraction      

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Tables Subtraction Tables and Exercises * * * * * * *
Level 1  Subtracting Units and Tens - no borrowing * * * * * * *
Level 2 Subtracting Hundreds and Thousands - no borrowing  * * * * * * *
Level 3 Subtracting Tens and Units - borrowing * * * * * * *
Level 4  Subtracting Hundreds and Thousands - borrowing * * * * *
Writing numbers How to Write Numbers up to Tens of Millions * * * * *

Short Multiplication 

Many schools call levels 2 to 5 Long Multiplication. For real Long Multiplication see the section of that name below.
KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Note - KS1 and 7 + exams usually require tables up to 6 x plus 10 x
X Tables   Times Tables and Exercises    * * * * * * *
Level 1  Exercises on Times Tables * * * * * * *
Level 2 Multiplying Tens and Units - no carrying * * * * * * *
Level 3 Multiplying Hundreds and Thousands - no carrying * * * * * *
Level 4 Multiplying Tens and Units - carrying * * * * * * *
Level 5 Multiplying Hundreds and Thousands - carrying * * * * *

Short Division                                                

Many schools call levels 2 to 6 Long Division. For real Long Division see the section of that name below.
KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Note - KS1 and 7 + exams usually require tables up to 6 x plus 10 x
Level 1  Exercises in Division Using Times Tables and Problems * * * * * * *
Level 2 Dividing Tens, Hundred and Thousands - no carrying * * * * * * *
Level 3 How to Handle Zero * * * * * * *
Level 4 Dividing by Numbers up to Ten - carrying * * * * * * *
Level 5 Dividing by 11 and 12 * * * * *
Level 6 Remainders * * * * * *

Money, Weights & Measures        

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Money * * * * * * *
Level 2 Bills and Money Problems * * * * * *
Level 3 Weights and Measures - Introduction, Add & Subtract * * * * *
Level 4 Weights and Measures - Multiply and Divide * * * * *
Level 5 Money, Weights and Measures - Problems * * * * *

Telling the Time and Timetables               

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Digital Clocks * * * * * * *
Level 2 24 hour clocks and a.m. & p.m. * * * * *
Level 3 Telling the Time Using Traditional Clocks * * * * * * *
Level 4 Another Way of Saying the Time * * * * *
Level 5 Advanced Clocks and Timetables * * * * *

Probability and Estimation

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Approximation * * * * * * *
Level 2 Estimation of weights and measures * * * * * * *
Level 3 Probability * * * * * * *
Level 4 Index Form, Standard Form and Significant Figures * * * * *

Long Multiplication              

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Sets * * *
Level 2 Putting Sets Together * * *
Level 3 Long Multiplication and Problems * * *
Level 4 Money, Weights and Measures * * *

Long Division      

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Introduction * * *
Level 2 Remainders * * *
Level 3 How to Handle Zero * * *
Level 4 Money, Weights and Measures * * *

                       

Vulgar or Common Fractions

Important - Pupils are advised to learn fractions in the order set out below. Most schools teach in the order of addition, subtraction, 
multiplication and division. The author finds that this slows progress and confuses pupils.
KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Introduction * * * * * * *
Level 2 Multiplication * *
Level 3 Division * *
Level 4 Addition * *
Level 5 Subtraction * *
Level 6 Ratios, Proportion, Scale Drawings and Currency Conversion * *
Level 7 Percentages * *

Level 8

Mixed problems * * *

Decimal Fractions

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Introduction, Addition and Subtraction * * * *
Level 2 Short and Long Multiplication * * *
Level 3 Short and Long Division * * *
Level 4 Mixed problems * * *

Basic Geometry

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Perimeters * * * * * * *
Level 2 Areas * * * * * * *
Level 3 Simple Geometry * *

 Basic Algebra and Codes

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Codes * * * * * *
Level 2 Introduction to Algebra * * * * * *
Level 3 Simple Equations *

Charts, Symmetry and Graphs 

KS 1 KS 2 7 + 8 + 9 + 10 + 11+
Level 1 Charts and Diagrams * * * * * * *
Level 2 Graphs * * * * * * *
Level 3 Symmetry and Rotation * * * * * * *
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