# Maths for all

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

On

## Number

Video Written Resources Exercises

#### Arithmetic

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

Video: Ordering fractions

Booklet See Written Resource

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

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 Algebrais 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

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

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

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

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