Free Videos & Worksheets

Welcome to national5maths.co.uk

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

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the N5 Maths course in 2020/21 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

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

Please find below:

1. Algebraic Fractions – Videos & Worksheets

2. Angle Properties – Videos & Worksheets

3. Arcs & Sectors – Videos & Worksheets

4. Changing the Subject – Videos & Worksheets 

5. Factorising – Videos & Worksheets

6. Fractions – Videos & Worksheets

7. Indices – Videos & Worksheets

8. Multiplying Brackets – Videos & Worksheets

9. Percentages – Videos & Worksheets

10. Pythagoras – Videos & Worksheets

11. Quadratics – Videos & Worksheets

12. Scientific Notation – Videos & Worksheets

13. Similarity – Videos & Worksheets

14. Simultaneous Equations – Videos & Worksheets 

15. Sine & Cosine Rules – Videos & Worksheets

16. Solving Equations & Inequalities – Videos & Worksheets

17. Standard Deviation & Quartiles – Videos & Worksheets

18. Straight Lines – Videos & Worksheets

19. Surds – Videos & Worksheets

20. Trig Equations – Videos & Worksheets

21. Trig Graphs – Videos & Worksheets

22. Vectors – Videos & Worksheets

23. Volumes of Solids – Videos & Worksheets

24. N5 Maths Online Study Pack – Students looking for a ‘good’ Pass.

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National 5 Maths Resources

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1. Algebraic Fractions – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Videos
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SimplifyingAlgebraic FractionsSimplifying
Simplifying by FactorisingAdding & Subtracting
Adding & Subtracting
Multiplying & Dividing

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Algebraic Fractions – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 4Algebraic Fractions 1Answers
Essential Skills 21Algebraic Fractions 2Answers
N5 Exam QuestionsFractions (Algebraic)Answers

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2. Angle Properties – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Mr Graham Maths Video
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Tangents to CirclesAngles in Circles
Isoceles Triangles in Circles
Angles in a Polygon

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Angle Properties – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 27Circle Calculations (Pythagoras)Answers
N5 Exam QuestionsShapes inside CirclesAnswers

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3. Arcs & Sectors – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Video
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Mr Graham Maths Video
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Area of a SectorArcs & SectorsArc Length
Length of an ArcArea of a Sector
Angle at the CentreAngle at the Centre

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Arcs & Sectors – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 4Algebraic Fractions 1Answers
Essential Skills 21Algebraic Fractions 2Answers
N5 Exam QuestionsFractions (Algebraic)Answers

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4. Changing the Subject – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Video
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Changing the Subject 1Changing the SubjectChanging the Subject
Changing the Subject 2

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Changing the Subject – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 5Changing the SubjectAnswers
N5 Exam QuestionsChanging the SubjectAnswers

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5. Factorising – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Mr Graham Maths Videos
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Common FactorFactorising by Highest Common Factor
Difference of Two SquaresFactorising by Difference of Two Squares
Unitary TrinomialsFactorising Trinomials
Non-unitary Trinomials
A Mixture

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Factorising – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 10Factorising TrinomialsAnswers
N5 Exam QuestionsFactorisingAnswers

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6. Fractions – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Video
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Mr Graham Maths Video
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Revising Numerical FractionsFractionsEquivalent Fractions
Simplifying Fractions
Adding & Subtracting Fractions
Multiplying Fractions
Dividing Fractions

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Fractions – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 11Calculations with Fractions 2Answers
N5 Exam QuestionsFractionsAnswers

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7. Indices – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Video
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Mr Graham Maths Video
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Indices - Rule 1IndicesMultiplying Indices
Indices - Rule 2Dividing Indices
Indices - Rule 3Indices - Powers of Powers
Indices - Rule 4Fractional Indices
Indices - Rule 5Negative Indices

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Indices – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 1Multiplying Brackets - IndicesAnswers
Essential Skills 6Fractional IndicesAnswers
Essential Skills 24Simplifying IndicesAnswers
N5 Exam QuestionsIndices & SurdsAnswers

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8. Multiplying Brackets – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Expanding Brackets

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Multiplying Brackets – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 1Multiplying Brackets - IndicesAnswers
Essential Skills 8Multiplying Brackets 1Answers
Essential Skills 9Multiplying Brackets 2Answers
N5 Exam QuestionsBracketsAnswers

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9. Percentages – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Videos
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Compound PercentagesPercentagesAppreciation/Depreciation
Reverse PercentagesCompound Percentages
Reverse Percentages

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Percentages – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 23Reversing the ChangeAnswers
Essential Skills 29Appreciation & DepreciationAnswers
N5 Exam QuestionsPercentagesAnswers

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10. Pythagoras – Videos

Thanks to the authors for sharing the excellent resources below.

Mr Graham Maths Videos
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Pythagoras Introduction
Pythagoras in Disguise
Pythagoras - Repeated Use
Finding the Distance Between Two Points
Converse of Pythagoras

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Pythagoras – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 27Circle Calculations (Pythagoras)Answers
N5 Exam QuestionsPythagorasAnswers

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11. Quadratics – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Videos
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Mr Graham Maths Videos
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Completing the SquareQuadratics 1Quadratic Equations 1
Quadratics 2Quadratic Equations 2
Quadratics 3Sketching Quadratics
Quadratics 4Quadratic Formula
Quadratics 5Sketching Quadratics 2

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Quadratics – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 7Difference of Two SquaresAnswers
Essential Skills 10Factorising TrinomialsAnswers
Essential Skills 13Quadratic FormulaAnswers
Essential Skills 16Using the DiscriminantAnswers
Essential Skills 30Quadratic EquationsAnswers
N5 Exam QuestionsFactorisingAnswers
N5 Exam QuestionsNature of the RootsAnswers
N5 Exam QuestionsParabolasAnswers
N5 Exam QuestionsQuadratic Formula Answers
N5 Exam QuestionsQuadratic ProblemsAnswers

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12. Scientific Notation – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Video
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Significant Figures & Standard FormIndices (Standard form at bottom)

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Scientific Notation – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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N5 Exam QuestionsScientific NotationAnswers

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13. Similarity – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Videos
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Linear Scale FactorSimilar ShapesSimilar Triangles
Area & Volume Scale FactorArea of Similar Shapes
Volume of Similar Shapes

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Similarity – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 28SimilarityAnswers
N5 Exam QuestionsSimilar ShapesAnswers

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14. Simultaneous Equations – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Videos
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Solving GraphicallySimultaneous EquationsSolving Graphically
Solving by SubstitutionSolving by Substitution
Solving by EliminationSolving by Elimination
Constructing Equations from Real Life

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Simultaneous Equations – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 19Simultaneous EquationsAnswers
N5 Exam QuestionsSimultaneous EquationsAnswers

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15. Sine & Cosine Rules – Videos

Thanks to the authors for sharing the excellent resources below.

Maths 180 Videos
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Mr Graham Maths Videos
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Area of a TriangleArea of a Triangle
Sine & Cosine RulesSine Rule - Missing Side
Sine Rule - Missing Angle
Cosine Rule - Missing Side
Cosine Rule - Missing Angle
Using Bearings

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Sine & Cosine Rules – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 25The Sine RuleAnswers
Essential Skills 26The Cosine RuleAnswers
N5 Exam QuestionsSine & Cosine RulesAnswers

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16. Solving Equations and Inequalities – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Video
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Mr Graham Maths Video
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National 4 RevisionEquations & InequalitiesSolving Inequalities
Equations with Fractions
Inequations

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Solving Equations and Inequalities – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 30Quadratic EquationsAnswers
N5 Exam QuestionsEquations & InequalitiesAnswers

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17. Standard Deviation & Quartiles – Videos

Thanks to the authors for sharing the excellent resources below.

Maths 180 Video
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Mr Graham Maths Video
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Comparing Data SetsStandard Deviation

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Standard Deviation & Quartiles – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 12Standard DeviationAnswers
N5 Exam QuestionsStatisticsAnswers

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18. Straight Line – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Maths 180 Videos
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Mr Graham Maths Videos
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Vertical & Horizontal LinesGradientGradient
Calculating the GradientStraight LinesStraight Lines 1
Equation of a LineStraight Lines 2

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Straight Line – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 18Equation of a Straight LineAnswers
N5 Exam QuestionsStraight LinesAnswers

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19. Surds – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Video
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Maths 180 Video
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Mr Graham Maths Video
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Adding & Subtracting SurdsSurdsSimplifying Surds
Multiplying SurdsAdding & Subtracting Surds
Simplifying Surds
Dividing Surds

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Surds – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 3Simplifying SurdsAnswers
N5 Exam QuestionsIndices & SurdsAnswers

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20. Trig Equations – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Mr Graham Maths Video
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Trig Equations 1Solving Trig Equations
Trig Equations 2
Trig Equations 3

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Trig Equations – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
__________________________
Answers
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Essential Skills 15Trigonometric EquationsAnswers
N5 Exam QuestionsTrig EquationsAnswers
N5 Exam QuestionsTrig IdentitiesAnswers

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21. Trig Graphs – Videos

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos
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Mr Graham Maths Videos
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Trig Graphs 1Amplitude
Trig Graphs 2Period
Trig Graphs 3Vertical Shift
Trig Graphs 4Phase Angle Shift

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Trig Graphs – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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N5 Exam QuestionsTrig GraphsAnswers

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22. Vectors – Videos

Thanks to the authors for sharing the excellent resources below.

Maths 180 Video
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Mr Graham Maths Videos
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Vectors & ScalarsIntroduction to Vectors
Alternative Routes
Magnitude of a Vector
Scalar Multiplication
Vector Pathways

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Vectors – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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Essential Skills 22 VectorsAnswers
N5 Exam QuestionsVectorsAnswers

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23. Volume of Solids – Videos

Thanks to the author for sharing the excellent resources below.

Larbert Maths Videos
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Volume of a Prism
Volume of a Cylinder
Volume of a Pyramid/Cone
Volume of a Sphere
Reverse Volume

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Volume of Solids – Worksheets

Thanks to the authors for sharing the excellent resources below.

Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets
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Topic
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Answers
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N5 Exam QuestionsVolumeAnswers

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24. N5 Maths Online Study Pack

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about N5 Maths to pass your final exam.

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested.

Subscribing to the Online Study Pack may therefore be one of your best ever investments. Please click Online Study Pack to view screenshots, examples and instructions on how to subscribe.

Please speak with your mum/dad and show them our fantastic website.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2020/21.

 

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