FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of

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

Subject content [reformed] functional skills: Mathematics (DfE, Feb 2018): 

https://www.gov.uk/government/publications/functional-skills-subject-content-mathematics

Pancake Day in Exdale is a multi-level graduated Functional Maths workbook for Entry Level 1 to Level 2. A front page overview allows the teacher or learner to decide which levels and topics to work on. All questions are based on one or other of two texts (pancake meals at the local pub and special offers in the Exdale Cook Shop). The emphasis throughout is on problem solving and showing working out.

At Entry Levels the main coverage is time, dates and money. Levels 1 and 2 include questions on time, converting between measures, circumference, percentage discount and mean.

Level
Entry Level 1
Entry Level 2
Entry Level 3
Level 1
Level 2
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM E1.6 Read 12 hour digital & analogue clocks in hours
FM E1.7 Know the number of days in a week, months, & seasons in a year. Name & sequence them.
FM E2.5 Add & subtract 2-digit numbers
FM E2.12 Calculate money with pence up to £1 & in whole £s of multiple items, use correct symbols (£ or p)
FM E2.13 Read & record time in common date formats, & read time displayed on analogue clocks in hours, half hours & quarter hours, & understand hours from a 24-hour digital clock
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 & 24 hour digital clocks in hours & minutes
FM E3.14 Use & compare measures of length, capacity, weight & temperature using metric or imperial units to the nearest labelled or unlabelled division
FM L1.12 Approximate by rounding to a whole number or to one or two decimal places
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM L1.29 Find the mean & range of a set of quantities
FM L2.14 Convert between metric & imperial units of length, weight & capacity using a) a conversion factor & b) a conversion graph
FM L2.16 Calculate perimeters & areas of 2-D shapes inc. triangles & circles and composite shapes including non-rectangular shapes (formulae given except for triangles & circles)
Context
Retail Hospitality Customer service

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 is available :)  
See our Answer Sheets page for more details.

Level
Level 1
Maths
FM Straightforward problem(s) with more than 1 step
FM L1.9 Find fractions of whole number quantities or measurements
FM L1.11 Add, subtract, multiply & divide decimals up to 2 decimal places
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.18 Calculate simple interest in multiples of 5%
FM 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
FM L1.21 Recognise & make use of simple scales on maps & drawings
FM L1.22 Calculate area & perimeter of simple shapes inc. those made up of combination of rectangles
FM L1.23 Calculate the volumes of cubes & cuboids
FM L1.24 Draw 2-D shapes & demonstrate an understanding of line symmetry & knowledge of the relative size of angles
FM L1.29 Find the mean & 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, inc. simple percentage increase / decrease by 5% & multiples of
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).

Level
Level 1
Level 2
English
FE L1.9 Identify & understand the main points, ideas & details
FE L1.17 Read & understand a range of specialist words in context
FE L1.24 Use format, structure & language appropriate for audience & purpose
FE L1.23 Write text of appropriate level of detail & length to meet needs of purpose & audience
FE L2.11 Identify when main points are sufficient & when specific details are important
FE L2.16 Understand organisational features & use to locate relevant information in a range of sources
FE L2.24 Write text of appropriate level of detail & length to meet needs of purpose & audience
FE L2.25 Organise writing for different purposes using appropriate format & 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 & compare large numbers (up to one million)
FM L1.8 Read, write, order & compare common fractions & mixed numbers
FM L1.13 Read, write, order & compare percentages in whole numbers
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.16 Recognise & calculate equivalences between common fractions, percentages & decimals
FM L2.4 Identify & know the equivalence between fractions, decimals & percentages
FM L2.6 Calculate percentage change (any size increase & decrease), & original value after % 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 & compare large numbers (up to one million)
FM L1.15 Estimate answers to calculations using fractions and decimals
FM L2.2 Carry out calculations with numbers up to 1 million inc. strategies to check answers e.g. estimation & approximation
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L2.8 Express one number as a fraction of another
FM 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
FM L1.22 Calculate area & perimeter of simple shapes inc. those made up of combination of rectangles
FM L1.23 Calculate the volumes of cubes & cuboids
FM L1.24 Draw 2-D shapes & demonstrate an understanding of line symmetry & knowledge of the relative size of angles
FM L1.26 Use angles when describing position & direction, & measure angles in degrees
FM L1.25 Interpret plans, elevations & nets of simple 3-D shapes
FM L1.27 Represent discrete data in tables, diagrams & charts inc. pie charts, bar charts, 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.

Level
Level 1
Level 2
Maths
FM Complex multi-step problem(s)
FM L1.1 Read, write, order & compare large numbers (up to one million)
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.15 Estimate answers to calculations using fractions and decimals
FM L1.27 Represent discrete data in tables, diagrams & charts inc. pie charts, bar charts, line graphs
FM L1.28 Group discrete data & represent grouped data graphically
FM L1.30 Understand probabilities on a scale from 0 to 1; use to compare the likelihood of events
FM L1.31 Use equally likely outcomes to find probabilities of simple events & express 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 & 24 hour digital clocks in hours & minutes
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
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
FM L1.9 Find fractions of whole number quantities or measurements
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
Context
Sport and fitness