Free National 3 Maths

Welcome to national5maths.co.uk

This website is primarily a free Maths resource for pupils, adult learners, parents and teachers.

To access a wealth of additional N5 Maths free resources by topic please use the above Search Bar or click on any of the topic links at the bottom of the Home Page HERE.

The resources below are aimed at S3 & S4 pupils studying National 3 Maths. There is a strong focus on Numeracy –  please see the ‘Numeracy Grids’ and ‘Lesson Starter’ sections below. The resources will provide excellent preparation for the N4 Maths Course should you be interested.

We hope you find this website useful and wish you the very best in 2020/21.

Please find below:

1. N3 Practice Unit Assessments

2. N3 Course Resources

3. N4 Course Resources

4. Shading in Fun Worksheets

5. Fractions & Algebra Worksheets

6. N3 Homework

7. N4 Homework 

8. N3/N4 Numeracy Grids

9. 100 Lesson Starters

10. Coordinates & Fun Maths Stuff

11. Maths Websites (Including Games/Puzzles)

12. Maths PowerPoints

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National 3 Maths Resources

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1. N3 Practice Unit Assessments

Thanks to the authors for making the excellent resources below freely available. A useful N3 Assessment template marking grid for teachers can be found HERE.

Managing Money & Data
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Shape, Space & Measure
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Numeracy
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All Units Combined Booklet
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Practice Assessment - 1Practice Assessment - 1Practice Assessment - 1Combined Assessment Booklet
Practice Assessment - 2Practice Assessment - 2Practice Assessment - 2N3 Assessment Template

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2. N3 Course Resources

The excellent course material below is courtesy of Larkhall Academy.

Managing Money
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Shape, Space & Measure
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Numeracy
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Booklet OneBooklet TwoBooklet Three
Booklet One - AnswersBooklet Two - AnswersBooklet Three - Answers
Income & ExpensesAreaFractions
Information HandlingDirectionsPercentages
Percentages - Increase & DecreaseNumber PatternsProbability
Percentages - CalculatorPerimeterReading Scales
Percentages - Non-CalculatorTime
Volume

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3. N4 Course Resources 

The excellent course material below is courtesy of Larkhall Academy.

Unit 1 - Part 1
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Unit 1 - Part 2
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Unit 2
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Unit 3 - Part 1
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Unit 3 - Part 2
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Numeracy Worksheet, ANSWERSAveragesChanging the SubjectAreaBar & Pie Graphs
Fractions, Decimals & %'s, TEMPLATEBest Buys (PowerPoint), WorksheetCircle & Angle PropertiesBasic ArithmeticConversion of Units
Algebraic SubstitutionCircleEnlargement & ReductionForeign ExchangeFractions as Percentages
AreaFrequency TablesEquationsNegative NumbersFractions as Percentages in Context
Factorising - 1 GradientInequalitiesPercentage Increase & DecreaseFractions, Decimals & %'s, TEMPLATE
Factorising - 2Nets & Surface AreaMathematical ModelsPercentages - CalculatorProportion - Direct
Simplifying & Breaking BracketsPie ChartsPythagorasPercentages - Non-CalculatorProportion - Indirect
1 Decimal PlaceProbabilityScatter GraphsPerimeterRatio
2 Decimal PlacesRotational SymmetryStraight LinesRoundingReading Scales
3 Decimal PlacesVolumeTrigonometrySpeed, Time Graphs (PowerPoint)Stem & Leaf Diagrams
1 Significant FigureWhole BookletWhole BookletSpeed, Distance & TimeWhole Booklet
2 Significant FiguresTime Intervals
3 Significant FiguresVolume
Sequences - 1 Whole Booklet
Sequences - 2
Place Value & Value of Each Digit
Whole Booklet

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4. Shading in Fun Worksheets 

Thanks to the authors for making the excellent resources below freely available.

The collection below consists of sixteen clever puzzle pictures offering lots of practice in addition, subtraction, multiplication and division.

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AdditionWorksheetAnswers
SubtractionWorksheetAnswers
Addition & SubtractionWorksheetAnswers
MultiplicationWorksheetAnswers
DivisionWorksheetAnswers
Multiplication & DivisionWorksheetAnswers
Decimals - Addition & SubtractionWorksheetAnswers
Decimals - Multiplication & DivisionWorksheetAnswers
Fractions: - SimplifyWorksheetAnswers
Fractions - Addition & SubtractionWorksheetAnswers
Fractions - Multiplication & DivisionWorksheetAnswers
PercentagesWorksheetAnswers
Percentages of QuantitiesWorksheetAnswers
RatioWorksheetAnswers
BODMAS AWorksheetAnswers
BODMAS BWorksheetAnswers

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5. Fractions & Algebra Worksheets

Thanks to Maths-Aid.Com for making the excellent resources below freely available. Answers are included on the worksheets.

Fractions
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Description
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Answers
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Algebra
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Description
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Answers/Courtesy
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1Fractions - VisualOn Worksheet1Simplifying Expressions (Level 2)Answers
2Fractions of an AmountOn Worksheet2Simplifying Expressions (Level 3)Answers
3Comparing Fractions & DecimalsOn Worksheet3Multiplying Algebra
4Comparing FractionsOn Worksheet4Expanding Single Brackets - 1
5Simplifying FractionsOn Worksheet5Expanding Single Brackets - 2Answers
6Equivalent Fractions - 1On Worksheet6Expanding & SimplifyingOn Worksheet
7Equivalent Fractions - 2On Worksheet7Adding Like Terms (Brackets Included)On Worksheet
8Improper Fractions & Mixed NumbersOn Worksheet8Substitution - 1On Worksheet
9Adding FractionsOn Worksheet9Substitution - 2On Worksheet
10Adding Mixed NumbersOn Worksheet10Substitution - 3Courtesy of Larkhall Academy
11Subtracting FractionsOn Worksheet11EquationsCourtesy of Larkhall Academy
12Subtracting Mixed NumbersOn Worksheet12InequalitiesCourtesy of Larkhall Academy
13Multiplying FractionsOn Worksheet13Solving Equations - 1On Worksheet
14Multiplying Mixed NumbersOn Worksheet14Solving Equations - 2 (Brackets Included)On Worksheet
15Multiplying Fractions & Cross CancellingOn Worksheet15Solving Equations - 3 (Fractions Included)On Worksheet
16Dividing FractionsOn Worksheet16Solving Equations - 4 (Harder Fractions Included)On Worksheet
17Dividing Mixed NumbersOn Worksheet17N5 Maths - Fractions & NumeracyOn Worksheet
18Fractions - MixedOn Worksheet18N5 Maths - Equations & InequalitiesAnswers
19Fractions Assessment/Test

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6. N3 Homework

Thanks to maths777 & Auchinleck Academy for making the excellent resources below freely available.

Homework Number
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Topic
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Homework Number
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Topic
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Homework 1Number Work 1Homework 12Ratio & Proportion 2
Homework 2Number Work 2Homework 13Distance, Speed & Time 1
Homework 3Number Work 3Homework 14Distance, Speed & Time 2
Homework 4Order of OperationsHomework 15Data Analysis 1
Homework 5RoundingHomework 16Data Analysis 2
Homework 6Negative NumbersHomework 17Data Analysis 3
Homework 7FractionsHomework 18Data Analysis 4
Homework 8Percentages 1Homework 19Perimeter & Area
Homework 9Percentages 2Homework 20Enlargement & Reduction
Homework 10Percentages 3Homework 21Volume
Homework 11Ratio & Proportion 1Whole BookletHERE

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7. N4 Homework Extension

Thanks to maths777.weebly.com and Inverclyde Academy for making the excellent resources below freely available.

Homework
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Part A
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Part B
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Part C
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Homework 1Algebra & Common FactorStatisticsMixed Questions
Homework 2Area & Circumference of a CircleAlgebra & Common FactorMixed Questions
Homework 3SimilarityArea & Circumference of a CircleMixed Questions
Homework 4Area of QuadrilateralsSimilarityMixed Questions
Homework 5GradientArea of QuadrilateralsMixed Questions
Homework 6Angles in a CircleGradientMixed Questions
Homework 7Pie ChartsAngles in a CircleMixed Questions
Homework 8Straight LinesPie ChartsMixed Questions
Homework 9PythagorasStraight LinesMixed Questions
Homework 10Changing Subject of the FormulaPythagorasMixed Questions
Homework 11TrigonometryChanging Subject of the FormulaMixed Questions
Homework 12Revision 1Trigonometry
Homework 13Revision 2Mixed Questions
Homework 14Revision 3Revision 4
Homework 15Revision 5Revision 6

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8. N3/N4 Numeracy Grids 

Thanks to the authors for making the excellent resources below freely available.

Each of the 16 Numeracy Grids below contains 40 mixed numeracy questions – 640 questions in total!

Set
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Numeracy Grid
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Set
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Numeracy Grid
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Set 1Numeracy Grid - 1Set 9Numeracy Grid - 9
Set 2Numeracy Grid - 2Set 10Numeracy Grid - 10
Set 3Numeracy Grid - 3Set 11Numeracy Grid - 11
Set 4Numeracy Grid - 4Set 12Numeracy Grid - 12
Set 5Numeracy Grid - 5Set 13Numeracy Grid - 13
Set 6Numeracy Grid - 6Set 14Numeracy Grid - 14
Set 7Numeracy Grid - 7Set 15Numeracy Grid - 15
Set 8Numeracy Grid - 8Set 16Numeracy Grid - 16

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9. 100 Lesson Starters

Thanks to the authors for making the excellent resources below freely available.

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Lower N3 

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Lesson Starter1Lesson Starter2Lesson Starter3Lesson Starter4Lesson Starter5
Lesson Starter6Lesson Starter7Lesson Starter8Lesson Starter9Lesson Starter10
Lesson Starter11Lesson Starter12Lesson Starter13Lesson Starter14Lesson Starter15
Lesson Starter16Lesson Starter17Lesson Starter18Lesson Starter19Lesson Starter20
Lesson Starter21Lesson Starter22Lesson Starter23Lesson Starter24Lesson Starter25
Lesson Starter26Lesson Starter27Lesson Starter28Lesson Starter29Lesson Starter30
Lesson Starter31Lesson Starter32Lesson Starter33Lesson Starter34Lesson Starter35
Lesson Starter36Lesson Starter37Lesson Starter38Lesson Starter39Lesson Starter40

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Middle N3 

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Lesson Starter1Lesson Starter2Lesson Starter3Lesson Starter4Lesson Starter5
Lesson Starter6Lesson Starter7Lesson Starter8Lesson Starter9Lesson Starter10
Lesson Starter11Lesson Starter12Lesson Starter13Lesson Starter14Lesson Starter15
Lesson Starter16Lesson Starter17Lesson Starter18Lesson Starter19Lesson Starter20
Lesson Starter21Lesson Starter22Lesson Starter23Lesson Starter24Lesson Starter25
Lesson Starter26Lesson Starter27Lesson Starter28Lesson Starter29Lesson Starter30
Lesson Starter31Lesson Starter32Lesson Starter33Lesson Starter34Lesson Starter35
Lesson Starter36Lesson Starter37Lesson Starter38Lesson Starter39Lesson Starter40

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Upper N3

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Lesson Starter1Lesson Starter2Lesson Starter3Lesson Starter4Lesson Starter5
Lesson Starter6Lesson Starter7Lesson Starter8Lesson Starter9Lesson Starter10
Lesson Starter11Lesson Starter12Lesson Starter13Lesson Starter14Lesson Starter15
Lesson Starter16Lesson Starter17Lesson Starter18Lesson Starter19Lesson Starter20

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10. Coordinates & Fun Maths Stuff

Thanks to the authors for making the excellent resources below freely available.

Topic
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Link - 1
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Link - 2
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Fun Class Starter QuestionHow Many Triangles - 1Answer
Fun Class Starter QuestionHow Many Triangles - 2Answer
Fun Class Starter Question9 Dots ChallengeAnswer
Fun Class Starter QuestionCounting the Number of F'sAnswer, Template - For Cutting Out
Amazing Curves Using Straight LinesCurve Stitching Template - See PowerPointCurve Stitching Power Point
Pupils Life in Numbers WorksheetExemplar You in Numbers - Template
Make Your Own WordsearchWord Search - Make Your Own20 x 20 pupils names works well
Fun Optical IllusionsOptical IIlusions
Mystery Riddles Video7 Fun Mystery Riddles
CoordinatesHalloween - Bat, Owl, PumpkinCourtesy of maths.drill.com
CoordinatesElf, Frosty, HollySolutions - Elf, Frosty, Holly
CoordinatesRudolf 1, Rudolf 2Solns - Rudolf 1, Rudolf 2
CoordinatesSantaSanta Solution
CoordinatesBart - CoordinatesOwl - Coordinates
Positive CoordinatesEaster ChickChick Solution
Negative CoordinatesEaster BunnyBunny Solution
X-Mas Word SearchX-Mas Word Search 1X-Mas Word Search 2
Nativity Word SearchNativity Wordsearch 1Nativity Wordsearch 2
Maths Word SearchWord Search 1 , Word Search 2Courtesy of Duncan Keith
Easter Maths QuizEaster Maths QuizCourtesy Solutions Education
Fun Maths SongsPolygon Song, BODMAS SongCircle Song
KahootKahoot

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11. Maths Websites (Including Games/Puzzles)

Thanks to the authors for making the excellent resources below freely available.

Website
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Name of Website
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Website
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Name of Website
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Website 1Activity VillageWebsite 22maths dictionary
Website 2BBC GamesWebsite 23mathsstarters.net
Website 3ChessWebsite 24mathszone.co.uk
Website 4Cool Maths GamesWebsite 25Maths on Track
Website 5Corbett MathsWebsite 26mathsbot.com - Create Worksheets
Website 6Counton MathsWebsite 27mrcartermaths.com - Bronze, Silver & Gold
Website 7Curve Stitching (PowerPoint)Website 28multiplication.com
Website 8Curve Stitching TemplateWebsite 29nrich
Website 9Dads Worksheets.comWebsite 30primarygames.com
Website 10Don StewardWebsite 31primaryinteractive.co.uk
Website 11Dot to Dot - Precision MeasureWebsite 32primaryresources.co.uk
Website 12Fun BrainWebsite 33protractor lesson
Website 13GCSE - Exam Boards, Dates & Important InformationWebsite 34Sheffield Maths
Website 14hegartymathsWebsite 35sumdog.com
Website 15maths-games.orgWebsite 36superteacherworksheets
Website 16math-play.comWebsite 37teacherled.com
Website 17mathsticks.comWebsite 38topmarks.co.uk
Website 18maths PickleWebsite 39Woodland Resources
Website 19mathsisfun.comWebsite 40worksheetworks.com
Website 20math-drills.comWebsite 41Dynamic Maths
Website 21mathaids.com

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12. Maths PowerPoints

Thanks to the authors for making the excellent resources below freely available.

PowerPoint
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Topic
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PowerPoint
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Topic
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PowerPoint 1 Angles - Introduction PowerPoint 28Factorising - Common Factor
PowerPoint 2Angles - Corresponding & AlternatePowerPoint 29Factorising - Mixed Types
PowerPoint 3Area - Rectangle & TrianglePowerPoint 30Minutes to Decimals
PowerPoint 4Area - Rectangle, Triangle & CirclePowerPoint 31Multiplying Out Single Brackets
PowerPoint 5Area - ParallelogramPowerPoint 32Multiplying Out Double Brackets
PowerPoint 6Area - TrapeziumPowerPoint 33Negative Numbers
PowerPoint 7Area - TrianglePowerPoint 34Percentages
PowerPoint 8Area - Rhombus & KitePowerPoint 35Percentages, Non-Calculator
PowerPoint 9Area - Composite Shapes 1PowerPoint 36Percentages (% to Fractions & Decimals)
PowerPoint 10Area - Composite Shapes 2PowerPoint 37Percentages (10 Questions)
PowerPoint 11CirclesPowerPoint 36Percentages (Appreciation/Depreciation)
PowerPoint 12Circles - CircumferencePowerPoint 37Percentages - Reverse
PowerPoint 13Circles - Circum & AreaPowerPoint 39PowerPoint (Mixed Topics)
PowerPoint 14Circles - Arc LengthPowerPoint 40Prisms & Volume
PowerPoint 15Circles - Sector AreaPowerPoint 41Prisms (Sphere & Cone)
PowerPoint 16Circles - Arcs & SectorsPowerPoint 42Quadratic Functions
PowerPoint 17Circles - Symmetry Part 1PowerPoint 43Scientific Notation
PowerPoint 18Circles - Symmetry Part 2PowerPoint 44Simultaneous Equations
PowerPoint 19Circles - Triangles insidePowerPoint 45Speed Formula
PowerPoint 20Comparing DataPowerPoint 46Squaring Out Brackets
PowerPoint 21Compound InterestPowerPoint 47Standard Deviation
PowerPoint 22Decimals to MinutesPowerPoint 48Straight Lines 2
PowerPoint 23Distance FormulaPowerPoint 49Straight Line Equations
PowerPoint 24Dot & Box PlotsPowerPoint 50Time Formula
PowerPoint 25Distance, Speed & Time GraphsPowerPoint 51Trig Functions & Equations
PowerPoint 26Distance, Speed & TimePowerPoint 52Volume of Solids 1
PowerPoint 27FactorisingPowerPoint 53Volume of Solids 2

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Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

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