Maths for all

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

On

Number

  Video Written Resources Exercises

Arithmetic

     
Addition and subtraction

VIdeo on addition

Video on subtraction

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

Booklet

HELM Booklet

Online Exercise

Worksheet

Positive and negative numbers University of Leeds Video: Negative Numbers Booklet See Written Resource
Estimation MASH Video  

Online Exercise

Worksheet

Factors, Multiples and Primes

     
What are factors and multiples? Khan Academy Video Maths is fun Webpage Corbett Maths Exercises
Introduction to Prime Numbers Khan Academy Video Maths is Fun Webpage Corbett Maths Exercises
Highest Common Factor (HCF) and Lowest Common Multiple (LCM) Video

HCF Webpage

LCM Webpage

Corbett Maths Exercises

Fractions

     
Introductory ideas                                       

Fractions of amounts video

MASH Video: Fnding the original amount          

Video: Ordering fractions

Booklet See Written Resource
Adding and subtracting fractions

Video: Adding and subtracting fractions

Booklet See Written Resource
Multiplying and dividing fractions

Multiplying and dividing fractions

Booklet See Written Resource
Equivalent feactions and simplifying fractions

Equivalent Fractions Video

Simplifying Fractions Video

Booklet

Online Exercise

Worksheet on simplifying fractions

Worksheet on equivalent fractions 

Mixed Numbers and Improper Fractions MASH video on mixed numbers and improper fractions  

Online Exercise

Corbett maths worksheet

Converting fractions

MASH Video on converting between Fractions, Decimals and Percentages

 

Online Exercise

Corbett maths worksheet

Fractions of amounts University of Leeds video  

Online Exercise

Corbett maths worksheet

Finding the original amount MASH video  

Online Exercise

Corbett maths worksheet

Decimals and Rounding

     
Manipulating decimals Manipulating decimals Booklet See 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 Resource Maths Made Easy webpage See Written Resource

Percentages

     

Percentage of an amount and                      

percentage change

Percentages of an amount

Percentage increase/decrease       

Booklet Online Exercise
Reverse percentages Finding the original amount  

Online Exercise

Corbett maths exercises

Compound interest/repeated

proportional change

MASH Video: Repeated proportional change Worksheet   Online Exercise

Ratio and Proportion

     
Introduction to ratio Video Webpage  
Dividing amounts in a ratio Video Webpage  
Introduction to proportion Corbett Maths Video   Corbett maths exercises
Proportion - algebraic questions Corbett Maths Video   Corbett maths exercises

Standard form

     
Converting in and out of standard form MASH Video: Writing numbers in standard form Worksheet Corbett maths exercises
Calculations in standard form MASH Video: Calculations in standard form   Corbett maths exercises

Algebra

 

Video Written Resource Exercise

Collecting terms

     

Simplifying algebraic expressions without brackets

Video: 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 Terms Corbett Maths Video Maths Doubts Webpage Corbett maths exercises

Solving linear equations 

     
Unknown on one side Solving linear equations    Worksheet (PDF, XKB)  Corbett maths exercises
Unknown on both sides Solving linear equations Worksheet (PDF, XKB)  Corbett maths exercises

Substitution and Formuale

     
Substitution Substitution into a formula  Worksheet (PDF, XKB) Corbett maths exercises

Factorising and Expanding

     
Factorising simple expressions  Factorising simple expressions Worksheet

Online Exercise

Corbett maths exercises

Factorising quadratics Factorising quadratics Worksheet Corbett maths exercises
Expanding single brackets 

Expanding linear bracket terms

Booklet

Online Exercise

Corbett maths exercises: Expanding linear bracket terms

Expanding Double Brackets Expanding quadratic bracket terms Webpage Corbett maths exercises: Expanding quadratic bracket terms

Inequalities

     
Solving inequalities Solving inequalities  Booklet Corbett maths exercises

Coordinate geometry

  Video Written Resource Exercise

Coordinates

     
Introduction to the coordinate plane                           

Introduction to the coordinate plane                        

Webpage: Cartesian coordinates

Corbett maths exercise

Plotting graphs with tables of values

     
Plotting straight lines Plotting straight lines Webpage: Using a table of values Corbett maths exercise
Plotting a curve Plotting a curve   Corbett maths exercise

Horizontal and vertical lines

     
Horizontal and vertical lines  Horizontal and vertical lines Webpage Corbett maths exercise

Equations of straight lines

     
Gradients   Booklet See Written Resource
y=mx+c   Booklet See Written Resource

Shape and measurement

  Video Written Resource Exercise

Unit conversions

     
Units and conversions  

Online unit converter

Common Conversion Factors

 
Units and prefixes Conversion of units    Booklet See Written Resource
Metric units

Converting metric volumes

Converting metric masses

Worksheet See Written Resource
Using a Conversion Factor   Webpage  

Introducing Area

     
Rectangles   Area of Rectangles  
Triangles (properties and area)    Area of Triangles   
Parallelograms   Area of Parallelograms  
Trapeziums How to find the formula for the area of a trapezium Webpage: Area of a trapezium Corbett maths exercise
Compound shapes Area 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

     
Sectors Area of a sector of a circle Circle sectors and segments Corbett maths exercise
Segments Area of a segment in a circle Circle sectors and segments Corbett maths exercise

Pythagoras' theorem

     
Pythagoras' theorem Pythagoras' theorem Booklet

Online Exercise

Corbett maths exercise

Volume

     
General recap   Online volume calculator and formulas  
Cubes and Cuboids

Volume of cubes and cuboids

  Corbett maths exercise
Prism

Volume of a prism

  Corbett maths exercise
Pyramid

Volume of a pyramid

  Corbett maths exercise
Cylinder

Volume of a cylinder

  Corbett maths exercise
Cone

Volume of a cone

  Corbett maths exercise
Sphere

Volume of a sphere

  Corbett maths exercise

Surface area

     
Surface area recap  Total surface area - the trick to getting it right Online 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 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.