Maths for all

These resources cover topics that may be useful to students on any course.

On

Number

 VideoWritten ResourcesExercises

Arithmetic

   
Addition and subtraction

VIdeo on addition

Video on subtraction

WebpageSee Written Resource
Order of operations (BIDMAS/BODMAS)University of Leeds Video: BODMAS

Booklet

HELM Booklet

Online Exercise
Positive and negative numbersUniversity of Leeds Video: Negative NumbersBookletSee Written Resource
EstimationMASH Video 

Online Exercise

Worksheet

Factors, Multiples and Primes

   
What are factors and multiples?Khan Academy VideoMaths is fun WebpageOnline Exercise
Introduction to Prime NumbersKhan Academy VideoMaths is Fun WebpageOnline Exercise
Highest Common Factor (HCF) and Lowest Common Multiple (LCM)Video

HCF Webpage

LCM Webpage

Online Exercise

Fractions

   
Introductory ideas                                       

Fractions of amounts video

MASH Video: Fnding the original amount          

Video: Ordering fractions

BookletSee Written Resource
Adding and subtracting fractionsVideo: Adding and subtracting fractionsBookletSee Written Resource
Multiplying and dividing fractionsMultiplying and dividing fractionsBookletSee Written Resource
Equivalent feactions and simplifying fractions

Equivalent Fractions Video

Simplifying Fractions Video

BookletOnline Exercise
Mixed Numbers and Improper FractionsMASH video on mixed numbers and improper fractions Online Exercise
Converting fractionsMASH Video on converting between Fractions, Decimals and Percentages Online Exercise
Fractions of amountsUniversity of Leeds video Online Exercise
Finding the original amountMASH video Online Exercise

Decimals and Rounding

   
Manipulating decimalsManipulating decimalsBookletSee Written Resource

Rounding to decimal places and              

significant figures

MASH Video on Rounding

Rounding Decimals

Rounding to Significant Figures

NUMBAS Exercise
Upper and Lower bounds (Error Intervals)See Written ResourceMaths Made Easy webpageSee Written Resource

Percentages

   

Percentage of an amount and                      

percentage change

Percentages of an amount

Percentage increase/decrease       

BookletOnline Exercise
Reverse percentagesFinding the original amount 

Online Exercise

Corbett maths exercises

Compound interest/repeated

proportional change

MASH Video: Repeated proportional changeWorksheet  Online Exercise

Ratio and Proportion

   
Introduction to ratioVideoWebpage 
Dividing amounts in a ratioVideoWebpage 
Introduction to proportionCorbett Maths Video Corbett maths exercises
Proportion - algebraic questionsCorbett Maths Video Corbett maths exercises

Standard form

   
Converting in and out of standard formMASH Video: Writing numbers in standard formWorksheetOnline Exercise
Calculations in standard formMASH Video: Calculations in standard form Online Exercise

Algebra

 

VideoWritten ResourceExercise

Collecting terms

   
Simplifying algebraic expressions without bracketsVideo: Simplifying expressions without brackets 

Online Exercises

Corbett maths exercises

Forming expressions and equations

   
Forming expressions  Corbett maths exercises
Forming equations  Corbett maths exercises

Multiplying Terms

   
Multiplying Algebraic TermsCorbett Maths VideoMaths Doubts WebpageOnline Exercise

Solving linear equations 

   
Unknown on one sideSolving linear equations   Worksheet (PDF, XKB) Online Exercise
Unknown on both sidesSolving linear equationsWorksheet (PDF, XKB) Online Exercise

Substitution and Formuale

   
SubstitutionSubstitution into a formula Worksheet (PDF, XKB)Online Exercise

Factorising and Expanding

   
Factorising simple expressions Factorising simple expressionsWorksheetOnline Exercise
Factorising quadraticsFactorising quadraticsWorksheetOnline Exercise
Expanding single brackets Expanding linear bracket termsBookletOnline Exercise
Expanding Double BracketsExpanding quadratic bracket termsWebpageOnline Exercise

Inequalities

   
Solving inequalitiesSolving inequalities BookletOnline Exercise

Coordinate geometry

 VideoWritten ResourceExercise

Coordinates

   
Introduction to the coordinate plane                           Introduction to the coordinate plane                        Webpage: Cartesian coordinatesCorbett maths exercise

Plotting graphs with tables of values

   
Plotting straight linesPlotting straight linesWebpage: Using a table of valuesCorbett maths exercise
Plotting a curvePlotting a curve Corbett maths exercise

Horizontal and vertical lines

   
Horizontal and vertical lines Horizontal and vertical linesWebpageCorbett maths exercise

Equations of straight lines

   
Gradients BookletSee Written Resource
y=mx+c BookletSee Written Resource

Shape and measurement

 VideoWritten ResourceExercise

Unit conversions

   
Units and conversions 

Online unit converter

Common Conversion Factors

 
Units and prefixesConversion of units   BookletSee Written Resource
Metric units

Converting metric volumes

Converting metric masses

WorksheetSee Written Resource
Using a Conversion Factor Webpage 

Introducing Area

   
Rectangles Area of Rectangles 
Triangles (properties and area)  Area of Triangles  
Parallelograms Area of Parallelograms 
TrapeziumsHow to find the formula for the area of a trapeziumWebpage: Area of a trapeziumCorbett maths exercise
Compound shapesArea of compound shapes Corbett maths exercise

Area and circumference of circles

   
Circle Vocabulary and circumferences Webpage 
Area of circles 

Where the formula comes from

Calculating areas

See Written Resource

Sectors and segments

   
SectorsArea of a sector of a circleCircle sectors and segmentsCorbett maths exercise
SegmentsArea of a segment in a circleCircle sectors and segmentsCorbett maths exercise

Pythagoras' theorem

   
Pythagoras' theoremPythagoras' theoremBooklet

Online Exercise

Corbett maths exercise

Volume

   
General recap Online volume calculator and formulas 
Cubes and CuboidsVolume of cubes and cuboids Corbett maths exercise
PrismVolume of a prism Corbett maths exercise
PyramidVolume of a pyramid Corbett maths exercise
CylinderVolume of a cylinder Corbett maths exercise
ConeVolume of a cone Corbett maths exercise
SphereVolume of a sphere Corbett maths exercise

Surface area

   
Surface area recap Total surface area - the trick to getting it rightOnline calculator and formula 

​​​

Two people sitting at a table looking at some work together
Two people sitting at a table looking at some work together

Book a 1:1 appointment or workshop

Would you like to explore a maths or stats topic in greater depth? Why not book a 1:1 with an advisor or a workshop (current students only).

A global reputation

Sheffield is a world top-100 research university with a global reputation for excellence. We're a member of the Russell Group: one of the 24 leading UK universities for research and teaching.