Mathematical Miscellany #96

A mathematics resources compilation.

Dr Austin Maths – Revision Grids

Amanda Austin has added further Revision Grids (3rd April) to her brilliant resource collection. All her revision resources are available from the Revision section of Dr Austin Maths.

These revision grids are included in the GCSE 2024 revision collection.

(For more on Circle Theorems, including GeoGebra applets – scroll down a little on this Geometry page,)


From The Chalkface, this index, which also gives the main topics assessed for Edexcel Maths and Further Maths A Level, up to 2023, is very useful; the index includes a description of each question. We can also see a table showing question frequency. Note that many questions involve multiple topics – see the notes on The Chalkface spreadsheet.


It’s great to see the division symbol is now supported by Graspable Math; try it out on this canvas by Erik Weitnauer.

This will be really useful when looking at the order of operations with younger students and also for the division of fractions.

Remember that we have the option (in settings) to choose how we want to display the multiplication symbol.

For more on Graspable Math, see this series of pages.


Try ‘Random Acts of Maths’ from Maths Ed Ideas, which has over 300 “pocket-sized problems, teasers, curios, provocations, inspirations, etc.”


In Mathematical Miscellany #95, I featured Matt Woodfine’s addition to Maths Whiteboard which enables us to see the meanings of terms used. I have now included this in the Vocabulary collection.

Edexcel – Teacher’s Guide to Command Words

This is a great feature on Maths White Board – choose any Model it board and you can see the meanings of terms used; in this example we can look at the meaning of simplify or expression.


Mathematical Miscellany #94

A mathematics resources compilation.


The GCSE Revision 24 collection has been updated. 1st Class Maths is excellent for providing practice papers; Edexcel Practice Paper 1 is now available for Foundation as well as Higher. The questions are all original and based on high-frequency paper 1 topics.

1st Class Maths – Practice papers 2024 – estimated publication dates.

I like the mapping documents linking curriculum content to activities on Transum; recently added we have Functional Skills.


A new video from The Calculator Guide, Exploring Input & Output On A Casio Classwiz fx-991CW | Settings.

See this page for further information on the latest Casio models.


Backwards faded combining ratios – Dave Taylor

Dave Taylor has been adding to his excellent Backwards Faded Maths resources. Recent additions include Reverse Percentage Decrease, Combining Average Speeds, Forming Equations and Ratio, Electricity Readings, Ratio, Fractions and Percentages, and Angles in Polygons.

The Backwards Faded section of Dave Taylor’s website includes an introduction, to quote from the introduction –

‘In backward faded worked examples, students are required to try to find a solution in the last step on problem 1, the last two steps on problem 2, and so on. In other words, students are required to continue the steps given to solve the problem.’

Dave Taylor – Backward Faded Maths

Try this useful resource for plotting linear and non-linear graphs from Andy Lutwyche. The resource was designed to revise plotting linear graphs from an equation before moving on to non-linear graphs (quadratic, cubic, reciprocal and exponential). It’s great to have the grids provided (and answers).


Mathematical Miscellany #93

A mathematics resources compilation:


Eedi – GCSE Big 20 Revision Quizzes

In a recent Miscellany post, I highlighted the extensive library of free resources of questions, video lessons and supporting material for maths teachers available on Eedi. Now we have the collection GCSE Big Revision Quizzes, for Foundation, Cross-over and Higher with 20 topics for each.

The topics have been chosen using Eedi’s massive data set to identify the topics students most often struggle with and to address common misconceptions within those topics.

Each quiz comes with diagnostic questions, worked example videos, fluency practice questions, problem-solving questions and explain the mistake activities.


Explain the Errors – Andy Lutwyche

On the subject of explaining mistakes, readers of this blog will be aware of a favourite resource author of mine – Andy Lutwyche. Searching for a resource recently, I came across a series of resources of Andy’s I had not seen before, Explain the Errors.

I have featured many excellent resources from Andy on explaining mistakes – see this Spot the Mistake collection which includes A level resources.

From Andy for A level, we have a whole collection of Erica’s Errors, including some for Mechanics, and from Stoke Stoke Maths, MEP Starters are very attractively presented high-quality resources. It’s great to see the Mechanics and Statistics collections.


Sparx Maths Crossover Workbooks

Sparx Maths Crossover Workbooks are free GCSE resources using content from Sparx Maths; a series of six crossover workbooks is available. Each workbook focuses on a particular Strand of maths, Number, Algebra, Ratio and Proportion, Geometry, Probability or Statistics and contains questions from key crossover topics that appear in both the GCSE Foundation and Higher tier papers. The workbooks feature two question types, “Introduce” questions to practise the key concepts or “Deepen” mixed topic questions which are more challenging reasoning and problem-solving
questions. Answers are provided.


AMSP Autumn Conference 23 – Introduction to Series, John Brennan-Rhodes / Abigail Bown
Tom Button / Sharon Tripconey

AMSP have very helpfully made their Further Maths Conference resources available here. Looking at the Further Maths Autumn Conference 2023 resources, I really like the set of slides – Introduction to series – there are some great ideas and resources there for A level Further Maths teachers. The resources and answers are available at the end of the slide set. I do like the style of the slides with the footer clearly showing the content and progress through it.

AMSP Autumn Conference 2023 – Number Theory, John Brennan-Rhodes & Paul Chillingworth

Dr Frost Key Skills

I have often mentioned the excellent Doctor Frost Key Skills. A preview of the DF Index, the new skills list, consisting of 906 skills and 5116 subskills is available here. The Doctor Frost team have looked at tens of thousands of exam questions and scoured curriculum documents around the world. you can see the preview of the list here. The team welcome any feedback before the list goes live in January. These are such valuable resources.


Mathematical Miscellany #92

A mathematics resources compilation:


Maths Genie – Mini Tests

Maths Genie with all its questions and worked solutions by topic is such a brilliant site for students and teachers; have you looked at the other resources available including the very useful Foundation and Higher Mini Tests? These are 20 GCSE tests of 20 questions (2 sides of A4), with answers supplied; tests are available for Foundation, Grade 5 (Foundation), Grades 4-6 (Higher), and Grades 7-9 (Higher).

Jake Gordon – Skills grid creator

If you want to customise starters to test certain topics there are several options available – see Custom Maths Revision Starters.


On Maths White Board, Matt Woodfine has created a very useful resource, he has analysed topics that have appeared in recent GCSE papers (June 22 – Nov 23) for AQA, Edexcel and OCR Foundation and Higher and created question sets for these topics.

The example here shows AQA Higher, Paper 1; looking at Venn Diagrams for example, we can generate a whiteboard (and as it is possible to refresh questions we have an endless supply) or a worksheet with answers.

Maths White Board – Venn Diagrams

On January 31st we have the Intermediate Maths Challenge, the challenge questions really get your students thinking and are excellent to use at any time – practice with past paper questions. I do like the way UKMT have provided further investigations for the questions.

On Challenge Prompts you can find prompts and video solutions for the IMC Papers from 2015 – 2017.


MEI – Exploring Data with Technology

From MEI, have a look at their recently published Exploring Data with Technology collection of activities aimed at mathematics students in Key Stage 3 or 4 (UK ages 11-16). The aim of the activities is to give students an experience of exploring real data sets using a statistics program. All the activities use the free educational software for data analysis tool, CODAP (Common Online Data Analysis Platform). Download the activities for all the resources needed – a presentation, teacher notes, and CODAP files for the data.

Trying CODAP for the first time, I selected CODAP, then try CODAP, create new document. Choosing import from the main menu allows you to import a CODAP data file. Once you have imported the data, you can drag data from the table to the graph.

Trying CODAP for the first time, I selected CODAP, then try CODAP, create new document. Choosing import from the main menu allows you to import a CODAP data file. Once you have imported the data, you can drag data from the table to the graph to assign horizontal and vertical axes.

This is certainly a resource I will be exploring further. There are many examples available to explore CODAP. Number of Factors looks interesting.


I have been interested in Astronomy since coming across a book on Constellations in my local Junior library some decades ago – so I’ll finish with these 60 Second Adventures In Astronomy from The Open University.

Open University – 60 second Adventures in Astronomy

Mathematical Miscellany #91

A mathematics resources compilation:


Dave Taylor has created very useful GCSE resources, in his words, “one/a few question(s) on each topic across the specification to identify gaps in understanding”. Look at the GCSE Higher Revision Booklets in the GCSE Maths section. these resources are written for OCR; Dave has also created AQA resources which are available on All About Maths.


OAT Maths – Unit A* – Linear Inequalities

Have you looked at OAT Maths recently? Recently published are 3 new Algebra units: A6 – The Cartesian Grid, A7 – Introduction to Sequences, and A8 – Linear Inequalities. Each unit is resourced with a sequenced booklet of tasks and a unit-long presentation that can be adapted for use in the classroom; read the overview here. Each unit is very comprehensive with many well chosen tasks, some of which are designed in-house and sometimes taken from other sources including Don Steward, CIMT, Chris McGrane and Craig Barton.

I have included OAT Maths on these GCSE resources pages, each page includes sites easily searchable by topic.


From Helen Konstantine on HKO, some great multiple choice questions on Venn Diagrams.

More on Venn Diagrams.


From Craig Barton, ‘A new year’s present from Eedi‘; this is an extensive free resource of questions, video lessons and supporting material for maths teachers. ‘Comprehensive’ feels like an understatement, this is an amazing resource.

Selecting any example (choose a Quiz Name) you can see all that is included. For each section, there is a prerequisite knowledge check, a diagnostics quiz, a video of a worked example together with a follow-up question to check students’ understanding, 3 sets of questions: fluency practice, intelligent practice and problem-solving questions and explain the mistake challenges.

See more information on Eedi, remember that use of all the resources is free for everyone; Plus accounts are available as an extra layer of support and motivation for the students who need it most. Use the Resources section to get started if you are not familiar with Eedi.


Matt Woodfine has completed his worked example project on Maths White Board; this library has well over 1000 short animations, which as Matt sates could be used in a variety of ways.

Library of worked example animations, Maths White Board – Matt Woodfine