FM Straightforward problem(s) with more than 1 step

A straightforward problem requires students to either work through one step or process OR to work through more than one connected step or process. Individual problems are based on the knowledge and/or skills in the mathematical content areas (MCA). At Level 1 it is expected that the student will be able to address individual problems, some of which draw upon a combination of any two of the MCA (number, measures, data) and require students to make connections between those content areas. The context of individual problems at L1 will require some comprehension in order for the student to be able independently to identify and carry out an appropriate mathematical approach.

A good way for learners to understand the importance of using reverse calculations to check an answer to a previous question.  These check questions are appearing more and more in functional skills exams. I hope you find it as useful as I and my learners do.

Editor's note

Carefully differentiated practice in this important skill. All four operations (+, -, x, ÷) are covered. A set of 15 practical problems. An important and useful resource: so many learners lose marks by omitting checks to their work. No answer sheet. An E2-3 version is also available.

Level
Entry Level 3
Level 1
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E3.2 Add & subtract 3-digit whole numbers
FM E3.3 Divide 3-digit numbers by 1- & 2-digit numbers, express remainders
FM E3.4 Multiply 2-digit numbers by 1- & 2-digit numbers
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables
FM L1.2 Recognise and use positive and negative numbers
FM L1.4 Use multiplication facts and make connections with division facts
FM L1.11 Add, subtract, multiply & divide decimals up to 2 decimal places

A good way for learners to understand the importance of using reverse calculations to check an answer to a previous question.  These check questions are appearing more and more in functional skills exams. I hope you find it as useful as  I and my learners do.

Editor's note

Level
Entry Level 2
Entry Level 3
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E2.5 Add & subtract 2-digit numbers
FM E3.2 Add & subtract 3-digit whole numbers
FM E2.6 Times tables 0x0 to 12x12
FM E2.8 Divide 2-digit numbers by 1-digit numbers, express remainders
FM E3.3 Divide 3-digit numbers by 1- & 2-digit numbers, express remainders
FM E3.4 Multiply 2-digit numbers by 1- & 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 E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E2.22 Extract information from lists, tables, diagrams, bar charts
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables

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
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

This is a Level 2 based Currency Conversion set of 4 questions with resource sheets and answers.  All exchange rates resources were obtained from web sites such as The Post Office and the Bank of England. 

Editor's note

Also provides useful practice in multiply, dividing with decimals (up to 4 decimal places); sensible rounding of answers; and extracting data from tables.

Level
Level 1
Level 2
GCSE L1-5
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM L2.13 Calculate amounts of money, compound interest, percentage increases, decreases & discounts inc. tax & budgeting
FM L2.14 Convert between metric & imperial units of length, weight & capacity using a) a conversion factor & b) a conversion graph
FM L2.10 Add, subtract, multiply & divide decimals up to 3 decimal places
Context
Business & Money management
Leisure Travel Tourism

Functional Skills level 1. Revision booklet for area and perimeter. Covers rectangles and compound shapes made up of rectangles.

Editor's note

A very useful set of questions with guidance. Lots of underpinning practice is followed by problem solving. Ideal for non-calculator work. Note there is no answer sheet.

 

Level
Level 1
Maths
FM L1.22 Calculate area & perimeter of simple shapes inc. those made up of combination of rectangles
FM Context free underpinning
FM Straightforward problem(s) with more than 1 step

A hastily written resource (I didn’t want to have to wait another 4 years!) on Feb 29th 2020 (but can be used throughout the leap year). Covers Functional Skills (Measures) content descriptors relating to using dates and units of time. Number topics such as estimation and checking, multiplication, division, odd and even numbers, and sequences are also included. There is an emphasis is on using non-calculator written methods to convert between units of time.

Level
Entry Level 2
Entry Level 3
Level 1
Level 2
Maths
FM Contextualised underpinning
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM L1.4 Use multiplication facts and make connections with division facts
FM L2.2 Carry out calculations with numbers up to 1 million inc. strategies to check answers e.g. estimation & approximation
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 L1.20 Convert between units of length, weight, capacity, money and time, in the same system
General
Generic resources for literacy, numeracy and beyond

This resource covers all the Functional Skills content descriptors relating to ratio and proportion. It was written with mixed L1-L2 classes in mind. I wanted to experiment with inverse proportion questions (a new topic in Reformed Functional Maths) but wanted to build up to them gradually. The questions are contextualised and problem based, with no underpinning taught, so learners will need an introduction to ratios (or a refresher) beforehand. Ratios, direct and inverse proportion are covered.

Level
Level 1
Level 2
GCSE L1-5
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM L1.17 Work with simple ratio & direct proportions
FM L2.11 Understand & calculate using ratios, direct proportion & inverse proportion
Context
Catering Food Nutrition

Covers all reformed Functional Skills  content descriptors relating to position and direction (from E1 to L1). Written with mixed-level classes in mind. Positional vocabulary; cardinal and intercardinal compass points; turns (e.g. quarter turns) and bearings are all covered in this set of graduated HS2 (high speed railway) themed problems. Problems are interspersed with context-free underpinning questions, examples and tips.

Level
Entry Level 1
Entry Level 2
Entry Level 3
Level 1
Maths
FM Context free underpinning
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E1.10 Use everyday positional vocabulary to describe position & direction including left, right, in front, behind, under & above
FM E2.21 Use appropriate positional vocabulary to describe position & direction including between, inside, outside, middle, below, on top, forwards & backwards
FM E3.20 Use appropriate positional vocabulary to describe position & direction inc.luding eight compass points and including full/half/quarter turns
FM L1.26 Use angles when describing position & direction, & measure angles in degrees
Context
Leisure Travel Tourism
Motor vehicles & Transport

A topical resource that requires students to interpret a news infographic and calculate the difference between two times. There is also a second question for Level 2 learners on Speed, Distance, Time. As well as enabling students to practise time calculations it can lead to discussion about this controversial rail project.

Editor's notes

Really topical and interesting. With curriculum mapping. No answer sheet.

Level
Level 1
Level 2
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM L2.15 Calculate using compound measures inc. speed, density & rates of pay
Context
Leisure Travel Tourism
Motor vehicles & Transport