# Maths the Basics

Whether you are studying for Functional Skills or Entry Level 3 qualifications - or just want to improve your maths skills and how you feel about working with numbers - Maths the Basics is the ideal study guide. Using simple, step-by-step examples, clear explanations and lots of practice, it is designed to help you understand maths and feel confident using these skills in everyday life.

The new edition of Maths the Basics is fully up to date for the 2019 Functional Skills syllabus, and is suitable for all the major exam boards. Additional free online resources are also available to support your studies. Offering perfect preparation for Functional Skills exams, Maths the Basics gives you everything you need in a single book to take you from Entry Level 3 through Level 1 to Level 2 success.

- Contents
- Number
- Measures, Shape and Space
- Handling Information and Data

- About this book
- Number
- 2 Addition and Subtraction
- Add and subtract 3-digit numbers
- Add and subtract large numbers
- Add and subtract positive and negative numbers
- Add and subtract numbers of any size

- 3 Multiplication and Division
- Multiplication
- Multiplication methods
- Division
- Multiply and divide whole numbers by 10, 100 and 1000
- Use multiplication and division
- Recognise numerical relationships
- Square numbers and indices
- Multiply and divide large numbers
- Efficient methods of calculating with numbers of any size

- 4 Rounding and Estimation
- Approximate and estimate with numbers up to 1000
- Approximate and estimate with large numbers
- Strategies for checking calculations with numbers of any size

- 5 Ratio and Proportion
- Work with ratio and proportion
- Calculate with ratios
- Inverse proportion

- 6 Using Algebra
- Number patterns and formulae
- Use simple formulae
- Order of operations (BIDMAS)
- Evaluate algebraic expressions and make substitutions in formulae

- 7 Mixed Operations and Calculator Practice
- Solve problems
- Calculate efficiently
- Calculate efficiently with numbers of any size

- 8 Fractions
- Understand fractions
- Equivalent fractions
- Compare fractions
- Mixed numbers and improper fractions
- Find or estimate fractions
- Calculate a fraction of something
- One number as a fraction of another
- Add and subtract fractions
- Multiply fractions
- Divide fractions
- Fractions on a calculator

- 9 Decimals
- Understand decimals in context (up to 2 decimal places)
- Write and compare decimals up to 3 decimal places
- Use a calculator to solve problems
- Multiply and divide decimals by 10, 100 and 1000
- Round decimal numbers and approximate
- Add and subtract decimals
- Decimal sequences
- Multiply decimals
- Divide decimals

- 10 Percentages
- Understand percentages
- Find percentages of quantities
- Equivalent fractions, decimals and percentages
- Percentage increase and decrease
- Use a calculator to find percentges
- Write one number as a percentage number as a percentage
- Calculate the original value after a percentage change

- 2 Addition and Subtraction
- Measures, Shape and Space
- 11 Money
- Write in pounds (£) and pence
- Calculate with money
- Round money to the nearest 10p or £1
- Discounts in multiples of 5%
- Simple interest
- Compound interest
- Budget with money
- Calculate using rates of pay
- Value Added Tax (VAT)
- Taxes on income
- Convert between currencies

- 12 Time
- Read, measure and record time
- Use the 12 and 24 hour clock
- Units of time
- Calculate time
- Use timers

- 13 Length
- Understand distance: miles and kilometres
- Measure length in metric units
- Estimate and measure lengths
- Convert between metric lengths
- Calculate with metric lengths
- Use a scale on a plan or map
- Use ratios on scale drawings
- Measure length in imperial units
- Convert between imperial lengths
- Convert between metric and imperial lengths

- 14 Weight
- Measure weight in metric units
- Choose units and instruments
- Convert between metric weights
- Calculate using metric weights
- Weigh with metric and imperial units
- Convert between imperial weights
- Calculate using imperial weights
- Convert between metric and imperial weights

- 15 Capacity
- Measure capacity and volume
- Convert between millilitres, litres and centilitres
- Calculate using metric units of capacityL1.M20
- Measure with metric and imperial units of capacity
- Calculate capacity and volume using imperial units
- Convert between metric and imperial measures

- 16 Temperature
- Measure temperature on the Celsius scale
- Temperatures below freezing point
- Celsius and Fahrenheit
- Use formulae to convert temperatures

- 17 Shape, Shape
- Angles
- Horizontal, vertical and parallel lines
- Two-dimensional (2-D) shapes
- Triangles
- Symmetry
- Tessellations
- Three-dimensional (3-D) shapes
- Plans and elevations

- 18 Position and Direction, Shape
- Compass points
- Describe positions and give directions
- Bearings
- Positions on maps
- Coordinates
- 3-D coordinates

- 19 Perimeter, Area and Volume
- Perimeter
- Use formulae to find areas of triangles and other shapes
- Perimeters and areas of composite shapes
- Volume of a cylinder
- Solve problems involving 2-D and 3-D shapes

- 20 Compound Measures
- Calculate using compound measures

- 11 Money
- Handling Information and Data
- 22 Collecting and Illustrating Data
- Create frequency tables
- Represent data in bar charts and line graphs
- Illustrate data using a pie chart
- Draw and use conversion graphs
- Choosing a statistical diagram

- 23 Averages and Range
- Find the mean
- Find the mode and the median
- Find the range
- Compare data sets

- 24 Scatter Diagrams
- Scatter diagrams and correlation

- 25 Probability
- Compare the likelihood of events
- Use fractions to measure probability
- Write probabilities as decimals and percentages
- Combined events

- 22 Collecting and Illustrating Data
- Answers
- Index