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NCFE Entry Level 1 Functional Skills Qualification in Mathematics

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NCFE Entry Level 1 Functional Skills Qualification in Mathematics

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NCFE Entry Level 1 Functional Skills Qualification in Mathematics | NCFE

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NCFE Entry Level 1 Functional Skills Qualification in Mathematics | NCFE

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The purpose of Functional Skills Mathematics Entry Level qualifications are to demonstrate a sound grasp of the underpinning skills and basics of mathematical skills appropriate to the level, and the ability to apply mathematical thinking to solve simple problems in familiar situations.

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NCFE Entry Level 2 Functional Skills Qualification in Mathematics

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NCFE Entry Level 2 Functional Skills Qualification in Mathematics

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NCFE Entry Level 2 Functional Skills Qualification in Mathematics | NCFE

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NCFE Entry Level 2 Functional Skills Qualification in Mathematics | NCFE

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The purpose of Functional Skills Mathematics Entry Level qualifications are to demonstrate a sound grasp of the underpinning skills and basics of mathematical skills appropriate to the level, and the ability to apply mathematical thinking to solve simple problems in familiar situations.

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NCFE Entry Level 3 Functional Skills Qualification in Mathematics

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NCFE Entry Level 3 Functional Skills Qualification in Mathematics

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NCFE Level 1 Functional Skills Qualification in Mathematics

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NCFE Level 1 Functional Skills Qualification in Mathematics

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NCFE Level 1 Functional Skills Qualification in Mathematics | NCFE

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About this qualification:

The purpose of the Functional Skills Mathematics Level 1 qualification is to demonstrate both mathematical skills at the appropriate level and the ability to apply mathematical thinking effectively to solve problems successfully in the workplace and in other real life situations.
Who is it suitable for?
This qualification is suitable for learners studying the following:

* Apprenticeships
* Traineeships
* Alternative to GCSE
* T-Levels
* As a standalone qualification
Entry requirements:
There are no pre-entry requirements for this qualification and no minimum age requirement has been set for registration.
Qualification structure:
This qualification has one external assessment divided into 2 sections.

* Section A: The non-calculator section
* Section B: The calculator section
Online assessment:
Online assessment is available for this qualification, and live online assessments are now bookable. Please visit our Online Assessment page for further information.
Remote invigilation:
Learners are now able to complete online/onscreen external assessments at home using our remote invigilation solution. Also referred to as remote proctoring, remote invigilation allows a learner to be observed via audio and visual links when completing their online/onscreen external assessment at home.

NCFE offers a remote invigilation solution for all our Level 1 & 2 Functional Skills external assessments. Find out how to get approval here.
Useful links:
Regulations for the Conduct of External Assessment

Qualification Specific Instructions for Delivery (QSID)

Reasonable Adjustments and Special Considerations Policy

CPD Training and Events

Diagnostic and Assessment Tools

Department for Education Subject Content for Maths

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NCFE Level 1 Functional Skills Qualification in Mathematics | NCFE

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About this qualification: The purpose of the Functional Skills Mathematics Level 1 qualification is to demonstrate both mathematical skills at the appropriate level and the ability to apply mathematical thinking effectively to solve problems successfully in the workplace and in other real life situations. Who is it suitable for?

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NCFE Level 2 Functional Skills Qualification in Mathematics

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NCFE Level 2 Functional Skills Qualification in Mathematics

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NCFE Level 2 Functional Skills Qualification in Mathematics | NCFE

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NCFE Level 2 Functional Skills Qualification in Mathematics | NCFE

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NCFE Level 2 Functional Skills Qualification in Mathematics

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The workbooks have been developed independently from the classroom packs and are broken down by each subject content statement. For each statement there is a comprehensive explanation of subject content statement with tips, quick checks and questions and solutions to help learners comprehend.

Each chapter ends with questions to test understanding.

We have also combined the answers in this workbook.

Everything in the workbook is brand new compared to the classroom packs as they were not developed by the same developer and purposely kept apart. Any overlap is purely coincidental.

The workbook formats are PDFs that can be printed as many times as you need.

Level 2 sample workbook

Level 1 sample workbook

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You can purchase our teacher delivery packs from the "Teaching materials" tab of any of the Functional Skills qualification pages.

Our comprehensive delivery packs include interactive presentations, worksheets and a detailed scheme of work.

You can download sample resources from the "Find out more" button or from the links below:

Level 2 resources sample

Level 1 resources sample

Entry Level 3 resources sample

Entry Level 2 resources sample

Entry Level 1 resources sample

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In the Teaching materials section we have schemes of work for every Functional Skills level in English and Maths. These are available for use by centres and contain a coherent teaching order.

Although these were designed specifically to go alongside our new suite of resources, you may choose to use them as a starting point for organising your own resources.

You will need a Portal login to access the schemes of work from the links below:

Level 2 SOW

Level 1 SOW

Entry Level 3 SOW

Entry Level 2 SOW

Entry Level 1 SOW

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Following your valuable feedback and a thorough review of our English and maths qualifications, we’ve made improvements to our assessments, resources and practice papers.

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Following your valuable feedback and a thorough review of our English and maths qualifications, we’ve made improvements to our assessments, resources and practice papers.

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New paper release dates delay our usual 6 working day results turnaround.

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Information on the introduction of new assessments into the paper bank (Functional Skills).

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Download the sample and practice assessment materials from the links below:

Entry Level 1 Assessment Materials

Entry Level 2 Assessment Materials

Entry Level 3 Assessment Materials

Level 1 Assessment Materials

Level 2 Assessment Materials

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Learners can familiarise themselves with the onscreen maths tools demo. The demo allows learners to become familiar with individual items prior to taking their actual assessment.

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In browser practice assessment materials

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In browser practice assessment materials

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Our practice assessment materials are available as:

Paper-based: Downloadable from the qualification information pages. You will find them under the ‘Assessment materials' tab on each qualification page.

Onscreen: Practice papers are available to schedule via Surpass. A keycode is generated and it must be sat via SecureClient.

In-browser: Accessible using the links below. Simply click the link and the assessment will open in your browser.

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Functional Skills online sample assessments | NCFE | NCFE

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Functional Skills online sample assessments | NCFE

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Functional Skills online sample assessments - English and maths

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Skills Builder is a comprehensive initial assessment and diagnostic solution. It enables you to develop your learners’ skills with industry-leading assessments and access to the highest quality curriculum, while collecting the data and evidence needed to demonstrate compliance and learner progression.

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Solutions with learners in mind

Skills Builder is a comprehensive initial assessment and diagnostic solution. It enables you to develop your learners' skills with industry-leading assessments and access to the highest quality curriculum, while collecting the data and evidence needed to demonstrate compliance and learner progression.

Intuitive initial assessment

Skills Builder will determine your learners' current level in Functional Skills, GCSE English and maths, and Essential Digital Skills. Plus, there are assessments for ESOL, personal learning and thinking skills, and more.

Track the entire learner journey

With a tracking system and reporting dashboards that capture results at learner, group, and institution level, you can measure the distance travelled by each learner. You'll also find options for target setting, e-portfolio evidence capture, and integration with other third party platforms.

Built for education providers

Skills Builder is designed for schools, colleges, training providers and employers to help you boost skills development and enhance workforce productivity.

Boost the effectiveness of Skills Builder

We've developed an Essential Digital Skills diagnostic assessment within Skills Builder to help learners with no, or low, digital knowledge, working alongside the subject matter experts who developed the new national standards for Essential Digital Skills for the Department for Education.

You can also add one or more of the following products to Skills Builder to boost learner success:

Discover our other skills assessment tools

Designed to support apprentice success...move the content from panel at the bottom of page to here. Find out more about Skills Review

Measure your learners core employability skills with Skills Work

A bespoke digital portfolio, with all the unique features you need to deliver, manage, and monitor your delivery. Take a look at Skills Portfolio

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Skills Builder is a comprehensive initial assessment and diagnostic solution that enables you to develop your learners' skills with industry-leading assessments and access to the highest quality resources.

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One product, one solution, at one price

We’ve designed an integrated solution for delivering Level 1 and 2 Functional Skills. One that supports your delivery journey from start to finish, with careful consideration about the tools and resources that you’ll need to succeed along the way.

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FAST (Functional Assessment and Skills Together) | FAST | NCFE

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A single 30-minute assessment covering both English and maths that can be set for either Functional Skills or GCSE, through One Assessment

Access to diagnostics, individual skills plans and independent learning resources, through Skills Builder

Track your learner and tutor progression with a bespoke reporting quality dashboard that will support all your Ofsted requirements

Teaching resources - get all your lessons prepared for you with our teaching resources complete with session plans, PowerPoint sessions, activities, and knowledge checkers

Learner workbooks - prepare your learners for their final assessment at Level 1 and 2 with this resource that checks understanding and offers a chance to complete a practice assessment question for each subject content statement

Functional Skills registration - with 6-day results, on demand paper and online assessments, up to 7 past papers and online sample assessments

Subject specialist support - full access to our subject specialists for English and maths to support your tutors and assessors, proven to improve attainment up to 5%

Product co-ordinator - specialised co-ordinator to support your approval and onboarding process, ensuring your needs are met.

Historically you would have to source a registration fee for the qualification, a credit agreement for the initial assessment and a cost for the learning resources but with FAST you pay one price per learner for all!

We have 6 FAST bands that provides you with fantastic savings on your overall spend. These bands are:

Band

Functional Skills Registrations

Maximum user licences

For the first 3 bands you will be allocated a maximum of user licences, one licence equals one learner, and can be allocated to any learner at your centre. For the final 3 bands there will be no set limit to the number of licences you can use. A licence will provide you access to One Assessment for both Functional Skills and GCSE, diagnostic assessments, quality dashboard, learning and teaching resources.

FAST will be offered through a legally binding contract committing you to a set number of registrations per 12-month period which will be monitored throughout the period.

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FAST (Functional Assessment and Skills Together) | FAST

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We've designed an integrated solution for delivering English and maths.

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Once approved for NCFE Functional Skills qualifications we will be in touch to offer free support over the first year of your delivery.

You can request a consultation call from our consultation booking form

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Request a functional skills support call.

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Functional Skills events

Knowing where to start is often the most daunting part of delivering a new qualification, so this is where our Provider Development team can help.

If you’re delivering a Functional Skills qualification our team will be able to help you get started with planning and delivery as well as guiding you through the assessment requirements.

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Functional Skills events

Knowing where to start is often the most daunting part of delivering a new qualification, so this is where the NCFE Provider Development team can help.

If you're delivering a Functional Skills qualification our team will be able to help you get started with planning and delivery as well as guiding you through the assessment requirements.

Functional Skills webinars

The Provider Development team deliver a range of webinars to prepare you for delivery and for your continuing professional development (CPD).

Onboarding webinars are aimed towards new centres and new staff to give an overview of information on NCFE Functional Skills qualifications and have the opportunity to ask questions. Content includes: overview of FS, content, sample assessment material, assessment structure, support and NCFE resources.

Intensive onboarding webinars include the monthly one-hour onboarding session as well as the building blocks of maths and English and the opportunity to explore past assessments in more depth.

CPD webinars are interactive sessions aimed towards FS maths and English teachers who wish to improve their knowledge and skills in specific areas. The registration pages for each session give further information on individual session contents.

Drop-in clinics give providers the opportunity to ask questions on our FS qualifications and to discuss topics explored in CPD sessions.

If you have any queries regarding the webinars please contact: [email protected]

Teach, Share, Transform

Network with other providers to raise attainment in maths, English and digital skills

Find out more

Quick links

SLC Changes from September 2023

This support webinar gives you an overview of the changes to the SLC component for Functional Skills English coming into effect from September 2023.

Watch on demand

Essential Maths and English in Everyday Life on demand

Access the NCFE Essential Maths and English in Everyday Life session on demand
Access now

Previous CPD sessions on demand

To view studio recordings of previous CPD sessions please go to our YouTube playlist:
View recordings

October

November

December

January

February

March

April

May

June

July

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Functional Skills events Knowing where to start is often the most daunting part of delivering a new qualification, so this is where the NCFE Provider Development team can help. If you're delivering a Functional Skills qualification our team will be able to help you get started with planning and delivery as well as guiding you through the assessment requirements.

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Access on demand recordings from our YouTube Playlist

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As well as holding timed quizzes with a class or group altogether, you can adjust the settings to assign Kahoot quizzes without a timer for learners to complete in their own time.

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Kahoot! | Learning games | Make learning awesome!

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Kahoot! is a game-based learning platform that brings engagement and fun to 1+ billion players every year at school, at work, and at home.

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Set questions within videos.

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Easily create beautiful interactive video lessons for your students you can integrate right into your LMS. Track students' progress with hassle-free analytics as you flip your classroom!

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About

About Us

Whiteboard.fi is created by Sebastian Laxell and Jaakko Virtanen, and is run by Digital Teaching Tools Finland Ltd - a Kahoot! company. We have experience in teaching and IT-management - so we know the struggle in finding good digital tools.

Certificates

FERPA Certified

COPPA Safe Harbor

California Student Privacy Certified

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Whiteboard.fi - Free online whiteboard for teachers and classrooms

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Whiteboard.fi is an instant formative assessment tool for your classroom, providing you with live feedback and immediate overview over your students.

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Hands-On Math Goes Digital In and Beyond the Classroom!

Explore Our Collection of FREE Virtual Manipulatives

From Number Lines to Base Ten, Pattern Blocks to Place Value, Disks our collection of free Virtual Manipulatives gives educators and families access to visual and hands-on digital resources that lead to understanding. Students can use these resources in class and at home to practice math concepts, reinforce their growing math understanding, technology they love in the process.

Free Resources & Instructions for Teachers and Families

We've developed these resources for easy access and easy use:

How-To Videos

There's a short video for each of the Virtual Manipulatives in our collection so teachers can use these digital materials easily and confidently with students.
Watch Now

Activities

Activities from the Didax books that teachers use most for easy download. Engaging challenges address core math operations, concepts and skills, from early numeracy all the way to introductory geometry and algebra.
Access Now

FAQ

Download this document of FAQ's to answer your Virtual Manipulative questions.
Download Now

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Demonstrate key math concepts in your classroom using our new virtual manipulatives!

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Interactive, free online geometry tool from GeoGebra: create triangles, circles, angles, transformations and much more!

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Formative assessment has never been faster.

Plickers is the free card activity your students will love.

Join millions and play in your next lesson.
Sign up for free
Used by K-12 teachers in over 100 countries

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Formative assessment has never been faster. Plickers is the free card activity your students will love. Join millions and play in your next lesson. Sign up for free Used by K-12 teachers in over 100 countries

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Foundation and Higher
Number Structure and calculation
1. order positive and negative integers, decimals and fractions; use the symbols =, ≠, <, >, ≤, ≥

2. apply the four operations, including formal written methods, to integers ( adding integers, subtracting integers, multiplying integers, dividing integers), decimals ( adding decimals, subtracting decimals, multiplying decimals and dividing decimals) and simple fractions (proper and improper) ( adding fractions, subtracting fractions, multiplying fractions and dividing fractions), and mixed numbers (adding - all both positive and negative; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals)

3. recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions; u se conventional notation for priority of operations, including brackets, powers, roots and reciprocals ( why BIDMAS?)

4. use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem

5. apply systematic listing strategies including use of the product rule for

6. use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5; estimate powers and roots of any given positive number

7. calculate with roots, and with integer and fractional indices

8. calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares (e.g. 12 = 4× 3 = 4 × 3 = 2 3 ) and rationalise denominators

9. calculate with and interpret standard form A x 10n, where 1 ≤ A < 10 and n is an integer.
Fractions, decimals and percentages
10. work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8 ); change recurring decimals into their corresponding fractions and vice versa

11.identify and work with fractions in ratio problems

12.interpret fractions and percentages as operators.
Measures and accuracy
13.use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate

14. estimate answers; check calculations using approximation and estimation, including answers obtained using technology

15.round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); use inequality notation to specify simple error intervals due to truncation or rounding

16. apply and interpret limits of accuracy, including upper and lower bounds
Algebra Notation, vocabulary and manipulation
1. use and interpret algebraic notation, including: ab in place of a × b;  3y in place of y + y + y and 3 × y;  a2 in place of a × a, a^3 in place of a × a × a, a^2b in place of a × a × b;  ab in place of a ÷ b;  coefficients written as fractions rather than as decimals;  brackets

2. substitute numerical values into formulae and expressions, including scientific formulae

3. understand and use the concepts and vocabulary of expressions, equations, formulae, identities inequalities, terms and factors

4. simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:  collecting like terms;  multiplying a single term over a bracket;  taking out common factors;  expanding products of two or more binomials;  factorising quadratic expressions of the form x^2 + bx + c, including the difference of two squares; factorising quadratic expressions of the form ax^2 + bx + c ;  simplifying expressions involving sums, products and powers, including the laws of indices

5. understand and use standard mathematical formulae; rearrange formulae to change the subject

6. know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments and proofs

7. where appropriate, interpret simple expressions as functions with inputs and outputs; interpret the reverse process as the 'inverse function'; interpret the succession of two functions as a 'composite function'.
Graphs
8. work with coordinates in all four quadrants

9. plot graphs of equations that correspond to straight-line graphs in the coordinate plane; use the form y = mx + c to identify parallel and perpendicular lines; find the equation of the line through two given points, or through one point with a given gradient

10.identify and interpret gradients and intercepts of linear functions graphically and algebraically

11.identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and turning points by completing the square

12.recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y =1x with x ≠ 0, exponential functions = x y k for positive values of k, and the trigonometric functions (with arguments in degrees) y x = sin , y x = cos and y x = tan for angles of any size

13.sketch translations and reflections of a given function

14.plot and interpret graphs (including reciprocal graphs and exponential graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration

15.calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts

16.recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point.
Solving equations and inequalities
17.solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph

18.solve quadratic equations (including those that require rearrangement) algebraically by factorising, by completing the square and by using the quadratic formula; find approximate solutions using a graph

19.solve two simultaneous equations in two variables (linear/linear or linear/quadratic) algebraically; find approximate solutions using a graph

20.find approximate solutions to equations numerically using iteration

21.translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution.

22.solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph
Sequences
23.generate terms of a sequence from either a term-to-term or a position-to-term rule

24.recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions ( r n where n is an integer, and r is a rational number > 0 or a surd) and other sequences

25.deduce expressions to calculate the nth term of linear and quadratic sequences.
Ratio, proportion and rates of change
1. change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts

2. use scale factors, scale diagrams and maps

3. express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1

4. use ratio notation, including reduction to simplest form

5. divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio; apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)

6. express a multiplicative relationship between two quantities as a ratio or a fraction

7. understand and use proportion as equality of ratios

8. relate ratios to fractions and to linear functions

9. define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively; express one quantity as a percentage of another; compare two quantities using percentages; work with percentages greater than 100%; solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics

10.solve problems involving direct and inverse proportion, including graphical and algebraic representations

11.use compound units such as speed, rates of pay, unit pricing, density and pressure

12.compare lengths, areas and volumes using ratio notation; make links to similarity (including trigonometric ratios) and scale factors

13.understand that X is inversely proportional to Y is equivalent to X is proportional to 1 Y ; construct and interpret equations that describe direct and inverse proportion

14.interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion

15.interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts

16.set up, solve and interpret the answers in growth and decay problems, including compound interest and work with general iterative processes.
Geometry and measures Properties and constructions
1. use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from written description

2. use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line

3. apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles; understand and use alternate and corresponding angles on parallel lines; derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons)

4. derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language

5. use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)

6. apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras' Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs

7. identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional and negative scale factors)

8. describe the changes and invariance achieved by combinations of rotations, reflections and translations

9. identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

10.apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results

11.solve geometrical problems on coordinate axes

12.identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres

13.construct and interpret plans and elevations of 3D shapes.
Mensuration and calculation
14.use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.)

15.measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings

16.know and apply formulae to calculate: area of triangles, parallelograms, trapezia; volume of cuboids and other right prisms (including cylinders)

17.know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr2; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids

18.calculate arc lengths, angles and areas of sectors of circles

19.apply the concepts of congruence and similarity, including the relationships between lengths, areas and volumes in similar figures

20.know the formulae for: Pythagoras' theorem, a2 + b2 = c2, and the trigonometric ratios, sinθ = opposite hypotenuse , cosθ = adjacent hypotenuse and tanθ = opposite adjacent ; apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures

21.know the exact values of sinθ and cosθ for θ = 00, 300, 450 , 600 and 900; know the exact value of tanθ for θ = 00, 300, 450 and 600

22.know and apply the sine rule, sin sin sinabc ABC = = , and cosine rule, 2 22 a b c bc A =+− 2 cos , to find unknown lengths and angles

23.know and apply 1 Area = sin2ab C to calculate the area, sides or angles of any triangle.
Vectors
24.describe translations as 2D vectors

25.apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors; use vectors to construct geometric arguments and proofs
Probability
1. record describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

2. apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

3. relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1 probability scale

4. apply the property that the probabilities of an exhaustive set of outcomes sum to one; apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one

5. understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

6. enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams

7. construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

8. calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions

9. calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams.
Statistics
1. infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling

2. interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data, tables and line graphs for time series data and know their appropriate use

3. construct and interpret diagrams for grouped discrete data and continuous data, i.e. histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use 12

4. interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:  appropriate graphical representation involving discrete, continuous and grouped data, including box plots;  appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers, quartiles and inter-quartile range)

5. apply statistics to describe a population

6. use and interpret scatter graphs of bivariate data; recognise correlation and know that it does not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends whilst knowing the dangers of so doing
Progress Checks (some of the questions are form MathsWatch) Foundation
Number Part 1, Number Part 2

Ratio and Proportion Part 1, Ratio and Proportion Part 2

Algebra Part 1, Algebra Part 2

Geometry and Measures Part 1, Geometry and Measures Part 2

Statistics and Probability Part 1, Statistics and Probability Part 2
Higher
Number, Ratio and Proportion, Algebra, Geometry and Measures, Statistics

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functional skills maths level 2 past papers

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Functional Skills Revision Resources, Videos, Exam Questions and Booklets

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Pass your Functional Skills Maths exam with revision resources, videos, exam questions and workbooks. Resources suitable for exams with NCFE, Edexcel, City & Guilds, AQA, Highfield and Open Awards.

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Don't spend hours marking books

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We're in the business of helping teachers. We know how tight departmental budgets are, we know the pain of change and we know how frustrating it is when a product you've come to depend upon starts charging. Well, we're giving you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free. It's a small gesture, but we hope it helps.

Supported Subjects

Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers.

750 questions from the Royal Society of Chemistry plus 1000s of others from teachers across the UK covering, Biology, Chemistry and Physics.

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A continuous system of misconception identification provides teachers with the foresight they need to intervene effectively in students' learning.

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Better results, more confidence, less time

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SSDD stands for Same Surface, Different Depth. They are a special set of problems that may look the same at first glance, but require different mathematical ideas to solve them.

SSDD Problems have become one of my key strategies to use with my students to help them become better problem solvers.

You can search for different topics using the tags on the right-hand side (or below if using a mobile device), and you can find out more about SSDD Problems on this page.

My books

I have written two books about my use of these types of activities.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using SSDD Problems effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

My online courses

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the questions on the SSDD Problems website are:

Supporting this website

I do not make any money from this website, so if you did want to support its future development - and hopefully learn more about the pedagogy underpinning these ideas - then I would be so grateful if you would consider:

Thanks so much for taking the time to read this - now go and enjoy the site!
Craig

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Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths

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Maths Venns is my collection of Venn Diagram activities covering many mathematical ideas. Students must think hard to find examples that meet different combinations of criteria in order to complete the diagram. Are some regions impossible to fill, or have students simply not found an example yet?

You can search for different topics using the Topics menus above, and you can find out more about Maths Venns on this page.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using these sequences effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the activities on the Maths Venns website are:

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Rich Venn Diagram maths activities from Craig Barton @mrbartonmaths

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This page lists recommended resources for teaching number topics at Key Stage 3/4.

Huge thanks to all individuals and organisations who share teaching resources.

Quick links: Negatives | Place Value | Addition & Subtraction | Multiplication & Division | Order of Operations | Decimals | Rounding | Estimation | Calculator Skills | Fractions | Percentages | Growth & Decay | Ratio & Proportion | Factors, Multiples and Number Properties | Recurring Decimals | Indices | Surds | Standard Form

Negative Numbers
Place Value

Addition and Subtraction

Multiplication and Division

(see my Order of Operations topics in depth pack)

Shading, simplifying, equivalence

Arithmetic

FDP

Growth and Decay and Interest

Ratio

Proportion

Proportion formulae

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Maths teaching resources for Key Stage 3/4 number topics

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Here is a blank Google Sheet (please make a copy) and a video of how to get access to whole class scores in one spreadsheet in real time.

This is useful either after the class has finished a Self Marking Sheet that is assigned on Google Classroom or it can also be used whilst the class is tackling the task. The spreadsheet will update automatically.

The script is unverified so when you run it you will have to show "Advanced" settings and accept the risk - sorry, not sure how to get it verified!

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Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more.

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"Mathematical Etudes" develop Russian traditions in popularization of mathematics. This site presents 3D animated films which tell about mathematics and its applications in exciting and interesting way. So, dear spectator, we invite you to plunge into the world of beautiful mathematical problems. Their statements understandable for schoolchildren but so far scientists have not solved some of them.

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Tes provides a range of primary and secondary school teaching resources including lesson plans, worksheets and student activities for all curriculum subjects.

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Best Buys and Proportion

Best buy and proportion questions - loosely based on setting up a nursery.

I have used this with my Functional Skills Maths and Employability group. We carried out a few examples as a group, left them on the board and I then gave them this worksheet to complete. I sat with the lower attainers and hand wrote in scaffolded examples whilst talking to them about it.

I have also used the same lesson plan for my GCSE resits as a revision task.

Editor's note

Level

Level 1

Level 2

GCSE L1-5

Maths

FM L1.17 Work with simple ratio & direct proportions

FM L2.11 Understand & calculate using ratios, direct proportion & inverse proportion

GCSE R10 (Direct & indirect proportion)

Context

Health, Social care, Early years

Guided learner reflection sheet

Learner reflection sheet for learners of Functional Skills with prompts to think about next steps.

Editor's Note

An inspiring and friendly-looking 2 page document. Ideal for Functional Maths and English learners from E3 upwards. Very useful!

Level

Entry Level 3

Level 1

Level 2

English

Functional Skills English

General literacy / English

Maths

Functional Maths

General numeracy / maths

General

Generic resources for literacy, numeracy and beyond

Aims & objectives, ILPs, reflections

Pancake day in Exdale - E1, E2, E3, L1 & L2 Functional Maths

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

Maths

FM Context free underpinning

FM E2.5 Add & subtract 2-digit numbers

Mental maths

Maths

FM Context free underpinning

FM E1.3 Add numbers which total up to 20, & subtract numbers from numbers up to 20

Mental maths

Valentine Meal Deal - E3, L1 & L2 Functional Maths

NEW 24/2/22  answer sheet now also  available - visit our ANSWER SHEETS page for more information.

A follow-on Valentine's Day resource from the E1-E3 worksheet of the same name. It continues the general problem solving of finding suitable meal deals for various couples and calculating how much they save by purchasing a Valentine's meal deal. For L2 learners it also delves into compound measures with challenging multiple questions on on unit prices (e.g. £/kg, £/litre).

Level

Entry Level 3

Level 1

Level 2

Maths

FM Straightforward problem(s) with more than 1 step

FM Complex multi-step problem(s)

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 E3.23 Organise & represent information in appropriate ways inc. tables, diagrams, simple line graphs & bar charts

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

Retail Hospitality Customer service

Catering Food Nutrition

Valentine Meal Deal - Entry Functional Maths

A hastily put together resource for Valentine's Day 2022 (but can be used in any year!).  Although the covered subject content statements are all E1 or E2 - the problem solving element of some questions also makes this also suitable for E3, especially the final "Stretch" investigation. Questions are mapped but there is no answer sheet.

Level

Entry Level 1

Entry Level 2

Entry Level 3

Maths

FM Simple one step problem(s)

FM E1.1 Read, write, order, compare numbers to 20

FM E1.2 Use whole numbers to count up to 20 items including zero

FM E2.5 Add & subtract 2-digit numbers

FM E1.12 Sort & classify objects using a single criterion

FM E2.24 Sort and classify objects using two criteria

FM E2.22 Extract information from lists, tables, diagrams, bar charts

FM E2.25 Take information from one format and represent the information in another format including use of bar charts

Context

Retail Hospitality Customer service

Catering Food Nutrition

Maths

FM Context free underpinning

FM E2.5 Add & subtract 2-digit numbers

New Year 2022 English and Maths tasks

NEW 8/2/22  answer sheet now also  available - visit our ANSWER SHEETS page for more information.
New 27/1/2022  A related interactive Wordwall activity (organisational and textual features) is now available to accompany this resource.

A hastily put-together New Year resource based on a short Guardian article about the record breaking temperatures experienced in the UK on New Year's Eve and New Year's Day.

Level

Entry Level 3

Level 1

Level 2

English

FE E3.10 Identify different purposes of straightforward texts

FE E3.11 Use strategies to find meaning of words e.g. dictionary, context, word types

FE L1.15 Infer from images meanings not explicit in the accompanying text

FE L1.17 Read & understand a range of specialist words in context

FE L1.9 Identify & understand the main points, ideas & details

FE L1.12 Recognise that language & other textual features can be varied to suit different audiences & purposes

FE L1.18 Use knowledge of punctuation to aid understanding of texts

FE L2.19 Identify different styles of writing & writer’s voice

Maths

FM Simple one step problem(s)

FM E2.11 Read, write & use decimals to one decimal place

FM L1.11 Add, subtract, multiply & divide decimals up to 2 decimal places

Context

Science, Nature & Weather

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Adult Numeracy, Functional Maths, and GCSE Resources

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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).

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This section describes a variety of products and services offered by the Dyscalculia Information Centre for Teachers.
The on-line Dyscalculia Test
You can enter a pupil or student for the on-line Dyscalculia Test by

buying on-line from our on-line shop

paying by cheque before the test,

or by supplying by post or email a school order number.

Our phone number is 01604 880 927; our email is This email address is being protected from spambots. You need JavaScript enabled to view it. and our address is 1 Oathill Close, Brixworth, Northampton NN6 9BE

In each case you will be sent a link to enable you to access the test on-line.

Please note that with all orders you must provide an email address so that we can direct you to the link that gives access to the test.

Other dyscalculia resources

BACKGROUND AND METHODOLOGY
BOOKS FOR USE WITH PUPILS AND STUDENTS WHO HAVE DYSCALCULIA

Dyscalculia activities 1: addition to division:Schools' Edition - copiable resource of activities to teach the four basic functions to children

Dyscalculia activities 2: shapes, fractions, percentages - following on from "Practical Activities" this book assumes that the student has mastered adding, subtraction, multiplication and division.

Dyscalculia activities 3: Time and timetables - book of activities for pupils and students who have difficulty telling the time, following the sequence of days, weeks, months, seasons, etc.

Dyscalculia Practice Activities: book of activities ranging from more or less to times tables, from division to the properties of shapes, and finally from fractions to percentages.

You can order any of these resources

for immediate download from our on-line shop

with a school order number by email to This email address is being protected from spambots. You need JavaScript enabled to view it.

by phone to 01604 880 927 again with a school order number or credit card

with a cheque by post to Schools.co.uk, 1 Oathill Close, Brixworth, Northampton, 9BE. Please make cheques payable to Websites and Blogs Ltd

Understanding Dyscalculia: An Introduction for Schools
Dyscalculia is a specific learning difficulty - an unexpected inability to handle one or more aspects of maths. It has for many years been overshadowed by dyslexia, and yet the inability to handle basic mathematical issues can be just as big a problem for those who suffer from it, as is dyslexia.

Although some children with dyslexia also have great difficulties learning maths, this is not always the case. Research suggests that around 25% of dyslexic children are actually above average in their ability at maths. This suggests that there are different factors at work in dyscalculia from those causing or exacerbating cases of dyslexia.

Understanding Dyscalculia: An Introduction for Schools examines the five main causes of dyscalculia and sets out the methods of working available which can help pupils overcome their dyscalculic problems. The book contains short sections which can be photocopied to give out to other members of staff in school, to worried parents, and to governors, so that everyone can share in the awareness of what dyscalculia is, and how it can be tackled.

Above all the book shows that once we understand and accept the causes of dyscalculia we can adopt appropriate methods of teaching to overcome the problem. Research suggests that most children who gain appropriate help in school can overcome their dyscalculic difficulties and achieve an acceptable grade at GCSE, thus allowing entry into further and higher education.

Order code: T1628 £14.95

Available as a download only.To see samples pages please click here

Research in recent years has shown that children with dyscalculia can be taught maths if certain specific points in their understanding of maths are addressed. If this approach can be followed by the adoption of particular methods of teaching by the teacher and methods of learning by the pupils, then these children can readily reach the average standard of the class.

What's more the techniques that are known to work well with dyscalculic pupils also work well with pupils who have an average ability at maths.

The book outlines a series of individual methods of teaching maths, which is followed by a series of methods of learning which will benefit all pupils, irrespective of their levels of mathematical achievement. It also contains information on enhancing pupil memory and pupil ability to handle sequences. The methods can be adapted and used with all age groups. The approaches can be used by special needs teachers in small group or individual sessions, and can also be used within full class lessons.

Methods of t eaching m aths to p upils and students with suspected d yscalculia also contains information for parents as well as information on how homework can be structured to the maximum benefit of dyscalculic pupils.

Order code: T1630 £14.95

Available as a download only. To see sample pages please click here
Books for use with pupils and students who have dyscalculia

Dyscalculia activities 1: addition to division: the Schools' Edition

One in 20 children is believed to have such problems in understanding basic maths that the child can reasonably be called "dyscalculic".

Dyscalculia activities 1: addition to division is the first ever book that can be used by teachers working with individuals or small groups of such children. The book provides a series of activities that will resolve the mathematical "block" that many of these children face, in a series of small group or individual lessons.

By working through these activities children who have fundamental problems in handling the most basic of mathematical concepts will learn how to handle numbers, sequences, addition, multiplication, subtraction and division. The book takes the child from the concept of "higher" and "lower" to division by numbers over 12.

Dyscalculia activities 1: addition to division works from the basis that virtually all children who have particular difficulties with mathematics have these problems because they have failed to grasp one or more of the fundamental principles of maths, and it is this that causes their subsequent problems. The book takes the children through these fundamentals using a newly developed multi-sensory approach alongside conventional notation of maths.

It is not anticipated that most children will need to work through the whole book; rather the volume is constructed so that the teacher can direct the pupil to work on specific topics in order to clarify issues previously misunderstood.

The school will need to provide a series of coloured counters (such as those used with games of Ludo or tiddlywinks) and for some of the later work, a set of cards.

Dyscalculia activities 1: addition to division is photocopiable throughout so that, where it is deemed desirable, sections may be copied and handed over to parents so that they can work with the child at home on simple exercises.
Order code: T1654 £14.95
Available as a download only.To see sample pages please click here
Dyscalculia activities 2: shapes, fractions, percentages
Dyscalculic pupils have a significant problem understanding mathematical concepts. These pupils can learn their way around maths if they are taught in a specific multi-sensory manner.

Our volume Dyscalculia activities 2: shapes, fractions, percentages uses this technique to teach such pupils the concepts of number and the four basic functions of mathematics. It is now used with thousands of children across the UK.

Dyscalculia activities 2: shapes, fractions, percentages follows on from "Practical Activities" and uses the same multi-sensory techniques that have proved successful in the earlier book. As before the book comes as a photocopiable volume and requires no additional equipment or materials save for a collection of coloured counters.

One of the huge benefits of this approach is that it not only works with children who have the genetic disorder which gives rise to dyscalculia, it also benefits those children who are failing to grasp mathematical concepts because of interrupted schooling, home problems or even a maths aversion which has developed because of early failure. Experience suggests that a short period of using multi-sensory techniques can be enough to overcome such problems and bring the pupil back to the class average.

Dyscalculia activities 2: shapes, fractions, percentages can be used with secondary school pupils either within special needs lessons or at home with co-operative parents. Each activity within the book can be completed within a maximum of ten minutes, thus allowing the teacher or parent to stop the work the moment the child shows signs of maths-aversion, frustration or tiredness.
Order code: T1719 £14.95
Available as a download only. To see sample pages please click here
Dyscalculia activities 3: Time and timetables
Time is the ultimate sequence, and children who master the concept of time usually overcome all their problems with sequencing and also find many concepts in maths much easier to handle. Indeed it is noticeable that many children who have difficulties with maths also have particular difficulties with the concept of time.

Dyscalculia activities 3: Time and timetable s contains exercises and activities that are designed to overcome such problems and ensure that children have a full ability to handle all the concepts of time - from the passing of seasons to the use of the 24 hour clock and the reading of timetables.

The book contains a range of straightforward tests which will reveal where the child's particular problems lie. This is followed by a series of activities covering all aspects of time. These activities can be undertaken in the classroom and can be photocopied and taken home. Indeed those children who are able to do five minutes homework a day on the subject of time will find that their understanding of time develops extremely quickly.

The book is available in photocopiable format which means that the activities can be shared with other staff in your department.
Order code: T1712 £14.95
Available as a download only. To see sample pages please click here.
Dyscalculia Practice Activities
Some dyscalculic pupils and students find that they have complete blocks when it comes to specific areas of maths - such as odds and evens, fractions, division, time, etc. For such pupils and students the "Practical Activities" series of books is ideal, each dealing with specific areas of mathematical process in a step by step manner.

However some pupils and students will have picked up some basics of maths and will not need this in-depth re-learning of fundamental mathematical activities.

Instead they will benefit from a multi-sensory set of revision activities across a much wider area.

It is for these pupils and students, and of course their teachers, that Dyscalculia Practice Activities has been developed.

The copiable volume consists of 91 separate activities - each of which is divided into a number of parts. Each activity deals with a different teaching point ranging from more or less to times tables, from division to the properties of shapes, and finally from fractions to percentages.

The materials are also ideal for allowing teachers and their pupils to go back and revise topics recently learned with a set of quick multi-sensory revision activities, all graded so that the pupil is not asked to solve issues that have not recently been revised.

Throughout, the book is written in a way that will allow the teacher or teaching assistant to work either with a single individual or with a small group of pupils or students whose difficulties fall into the same area.
Order code: T1782 £14.95
Available as a download only. To see sample pages please click here.
Maths cards and counters
We sell packs of times table cards and blank cards which are suitable for use when working with dyscalculic children. They will be needed when working through the Dyscalculia Activities books.

The pack comprises: multiplication cards, division cards, blank cards and counters.

Times tables covered are from 0 to 10, and 20, and they come in assorted colours. Blank cards come in assorted colours in packs of 144.

The counters come in a bags of 80 counters - 2 each of red, yellow, blue and green.

Delivery will be via Royal Mail and will require a signature.
£29.95 plus £1.95 postage and packing.
You can order these at Maths cards and counters

You can order any of these resources

with a school order number by email to This email address is being protected from spambots. You need JavaScript enabled to view it.

by phone to 01604 880 927 again with a school order number or credit card

with a cheque by post to Schools.co.uk, 1 Oathill Close, Brixworth, Northampton, 9BE. Please make cheques payable to Websites and Blogs Ltd

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The Dyscalculia Information Centre - Resources for Teachers

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Overcoming obstacles for maths learners with dyslexia

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Overcoming obstacles for maths learners with dyslexia

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Dyslexia in the maths class: The obstacles and how to help

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Isn’t dyslexia all about reading and writing? Many learners with dyslexia face difficulties in maths. Read about the challenges and what you can do to help.

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Multiply online maths resources - Skills for Life Network

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If you're aged 19 and over and don't have maths GCSE at grade C (or equivalent), you can access free maths resources and courses through Multiply to build your confidence with numbers and gain a qualification.

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As well as Functional Skills specific training, we have professional development opportunities, assessor and IQA training and bespoke training

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We support centres with a range of training options, including support visits, bespoke training, and regularly scheduled training with assessment professionals and IQAs.

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National Centre for Excellence in the teaching of Mathematics

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National Centre for Excellence in the teaching of Mathematics

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Continuing professional development resources for basic skills teachers.

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​Craig Barton has been involved in teaching maths for 15 years. He was the the TES Maths Adviser for 10 years and is now the Head of Education at Eedi. Craig is the author of the best-selling books "How I wish I'd taught maths" and

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Math-Drills.com includes over sixty-four thousand free math worksheets that may be used to help students learn math. Our math worksheets are available on a broad range of topics including number sense, arithmetic, pre-algebra, geometry, measurement, money concepts and much more. There are two interactive math features: the math flash cards and dots math game.

Math-Drills.com was launched in 2005 with around 400 math worksheets. Since then, tens of thousands more math worksheets have been added. The website and content continues to be improved based on feedback and suggestions from our users and our own knowledge of effective math practices.

Most Math-Drills users are classroom teachers or parents. Classroom teachers use our math worksheets to assess student mastery of basic math facts, to give students extra math practice, to teach new math strategies, and to save precious planning time. Parents use our math worksheets to give their children extra math practice over school breaks and to enhance their math education. Home schools use our math worksheets in their programs to develop and strengthen math skills in their children.

Most Popular Free Math Worksheets this Week

Supporting Student Learning with Free Math Worksheets by Math-Drills

Math-Drills believes that education should be accessible to all children despite their socioeconomic situation or any other factors. Since it began in 2005, all the math worksheets on Math-Drills have been free-to-use with students learning math. The Math-Drills website works well on any device and worksheets can be printed or used on a screen.

Math-Drills worksheets are also used in special education, adult education, tutoring, colleges, high schools, prisons and a variety of other situations. Special education teachers especially like that we break down math skills and provide large-print options. Adult learners appreciate the simple uncluttered format that our worksheets offer. Tutors use our math worksheets to reduce their costs and focus on student learning. High school, college and university educators sometimes need remedial resources for students to allow them to continue with more advanced topics.

Students who practice their math skills with our math worksheets over school breaks keep their math skills sharp for upcoming school terms. Because we provide answer keys, students are able to self-assess and use the immediate feedback provided by an answer key to analyze and correct errors in their work. Our interactive (fillable) math worksheets allow them to fill in their answers on the screen and save or print the results.
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Math-Drills includes over 58 thousand free math worksheets for students in elementary and middle school. Our easy to print math worksheets are free to use in your school or home.

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The free revision resources related to numeracy are most appropriate for Functional Skills maths

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Go Teach Maths: Handcrafted Resources for Maths Teachers

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Homepage - Go Teach Maths: Handcrafted Resources for Maths Teachers

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Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.