FM L1.29 Find the mean & range of a set of quantities

L1.29 Find the mean and range of a set of quantities

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

Sparked after reading an article about a UK Which? report in The Guardian newspaper, and made in haste, this resource is aimed at Entry Level 3 (E3) and Level 1 (L1) learners but includes some E1-2 and L2 questions. There is no answer sheet – one might appear later for skillsworkshop contributors – but the teaching notes do include general marking guidance. 

Level
Entry Level 3
Level 1
Level 2
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM L1.16 Recognise & calculate equivalences between common fractions, percentages & decimals
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.11 Round amounts of money to the nearest £1 or 10p
FM L1.18 Calculate simple interest in multiples of 5%
FM L1.29 Find the mean & range of a set of quantities
FM L2.23 Calculate the median & mode of a set of quantities
Context
Catering Food Nutrition

A challenging set of L1-2 maths questions that celebrate 50 years since the first Moon landing. Covers new reformed content such as compound measures and 3 figure bearings. Plus an introductory PPT with background information and pop up answers.

Editor's note

Fully mapped to the new reformed Functional Maths content.  The answer sheet, which includes detailed working out and marking guidance, is only available to site contributors. Please see details within the resource.

 

Level
Level 1
Level 2
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM L1.1 Read, write, order & compare large numbers (up to one million)
FM L2.2 Carry out calculations with numbers up to 1 million inc. strategies to check answers e.g. estimation & approximation
FM E3.14 Use & compare measures of length, capacity, weight & temperature using metric or imperial units to the nearest labelled or unlabelled division
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM L1.26 Use angles when describing position & direction, & measure angles in degrees
FM L2.15 Calculate using compound measures inc. speed, density & rates of pay
FM L1.29 Find the mean & range of a set of quantities
Context
Science, Nature & Weather
History, culture, museums, libraries