FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof

A resource I designed to help my L1 Functional Maths learners revise and check on areas they needed to work on. Covers ratio, mean, percentages, problem solving, fractions, area , volume and more!  

Editor's note

Fabulous practice and revision! Fully mapped to the Reformed Functional Maths criteria. If you are a resource contributor, an answer sheet will be available shortly :)  

Level
Level 1
Maths
FM Straightforward problem(s) with more than 1 step
L1.9 Find fractions of whole number quantities or measurements
L1.11 Add, subtract, multiply and divide decimals up to two decimal places
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
FM L1.18 Calculate simple interest in multiples of 5%
L1.19 Calculate discounts in multiples of 5% on amounts of money
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
L1.21 Recognise and make use of simple scales on maps and drawings
L1.22 Calculate area and perimeter of simple shapes including those that are made up of a combination of rectangles
L1.23 Calculate the volumes of cubes and cuboids
L1.24 Draw 2-D shapes and demonstrate an understanding of line symmetry & knowledge of the relative size of angles
FM L1.29 Find the mean and range of a set of quantities

This is the resource for L1 learners submitted by Hannah Yates on 2 June 2017, but updated with 2020 figures for JSA (job seekers allowance) and Tax allowance.

Now in SMART notebook format to use whilst screen sharing in a virtual teaching session.  Answers are included on the slide following each question (and under the shades on the table on slide 3).

Level
Level 1
English
FE L1.21 Spell words used most often in work, study and daily life, including specialist words
Maths
FM Straightforward problem(s) with more than 1 step
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
Context
Employment skills & Public services

A PowerPoint set of L1-L2 reading, maths and writing tasks. All are based on information a recent UK.gov Home Office fact sheet about Prevent and Channel*. The fact sheet can be found online or downloaded from this page. Main Functional Maths coverage is reading and comparing whole numbers and percentages, and percentage-fraction equivalents. Some questions involve calculating percentages or checking the figures that are quoted in the text (Level 2).

Editor's notes

Level
Level 1
Level 2
English
FE L1.9 Identify & understand the main points, ideas & details
FE L1.17 Read and understand a range of specialist words in context
FE L1.24 Use format, structure and language appropriate for audience and purpose
FE L1.23 Write text of appropriate level of detail & length to meet needs of purpose & audience
FE L2.11 Identify the different situations when the main points are sufficient and when it is important to have specific details
FE L2.16 Understand organisational features and use them to locate relevant information in a range of straightforward and complex sources
FE L2.24 Write text of appropriate level of detail and length to meet needs of purpose & audience
FE L2.25 Organise writing for different purposes using appropriate format and structure (e.g. standard templates, paragraphs, bullet points, tables)
FE L2.27 Use language & register (e.g. persuasive techniques, supporting evidence, specialist words) to suit audience & purpose
Maths
FM L1.1 Read, write, order and compare large numbers (up to one million)
FM L1.8 Read, write, order and compare common fractions and mixed numbers
FM L1.13 Read, write, order and compare percentages in whole numbers
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
FM L1.16 Recognise and calculate equivalences between common fractions, percentages and decimals
FM L2.4 Identify and know the equivalence between fractions, decimals and percentages
FM L2.6 Calculate percentage change (any size increase and decrease), and original value after percentage change
General
Generic resources for literacy, numeracy and beyond
Context
Health and safety
News, Politics & Government items

Large set of questions inspired by the recent (2019) 75th anniversary of the D Day Landings.  Covers many aspects of the Reformed FS 2018 content such as bearings, nets, underpinning questions and non-calculator tasks.

Editor's notes

Level
Level 1
Level 2
Maths
FM Context free underpinning
FM Straightforward problem(s) with more than 1 step
FM L1.1 Read, write, order and compare large numbers (up to one million)
L1.15 Estimate answers to calculations using fractions and decimals
L2.2 Carry out calculations with numbers up to one million including strategies to check answers including estimation and approximation
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
L2.8 Express one number as a fraction of another
L1.19 Calculate discounts in multiples of 5% on amounts of money
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
L1.22 Calculate area and perimeter of simple shapes including those that are made up of a combination of rectangles
L1.23 Calculate the volumes of cubes and cuboids
L1.24 Draw 2-D shapes and demonstrate an understanding of line symmetry & knowledge of the relative size of angles
L1.26 Use angles when describing position and direction, and measure angles in degrees
L1.25 Interpret plans, elevations and nets of simple 3-D shapes
L1.27 Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs
Context
History, culture, museums, libraries
Employment skills & Public services

This is a project based on Benford's law. I had this idea after watching the Numberphile series on YouTube. This is a project based activity that involves many skills including working with large numbers, using percentages, representing data and probability.

The investigation is introduced to learners using the PPT (and optional YouTube links). Learners then split into four groups - each is given a random set of  share prices [see Excel file].  Each group investigates the occurrence of numbers starting with each digit from 1 to 9.

Editor's note

Level
Level 1
Level 2
Maths
FM Complex multi-step problem(s)
FM L1.1 Read, write, order and compare large numbers (up to one million)
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
L1.15 Estimate answers to calculations using fractions and decimals
L1.27 Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs
L1.28 Group discrete data and represent grouped data graphically
L1.30 Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events
L1.31 Use equally likely outcomes to find the probabilities of simple events and express them as fractions
Context
Business & Money management

A differentiated resource to recap many number & measure skills and to help learners with the skills needed when looking for or applying for a job.

There are 6 questions in both the L1 and L2 version – working out weekly pay, annual salary, tax payable, comparing pay to JSA (Job Seeker’s Allowance), reading/completing a bus timetable and correcting a job acceptance letter (L1 Functional English proof reading).

Level
Level 1
Level 2
English
FE WRITING Spelling
Maths
FM Straightforward problem(s) with more than 1 step
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.13 Read time from analogue and 24 hour digital clocks in hours and minutes
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
AN N2/L1.5 Calculate with decimals up to 2dp
AN MSS1/L2.2 Calculate, measure and record time
AN MSS1/L1.3 Calculate with and convert between units of time
AN MSS1/L1.1 Add, subtract, multiply & divide sums of money and record
AN MSS1/L1.2 Read & measure time and use timetables
AN N2/L2.8 Find percentage parts of quantities and measurements
AN N2/L1.9 Find simple percentage parts of quantities and measurements
Context
Employment skills & Public services

A set of fraction and percentage problems based on statistics about recent Wimbledon Singles champions from 2015 to 2019 (names, nationalities, seeding and length of match). 
Note there were no Wimbledon championships in 2020 due to Covid-19). Also includes a couple of time conversions.

Editor's note (June 22, 2021)

Level
Level 1
Maths
L1.9 Find fractions of whole number quantities or measurements
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
Context
Sport