Summer Maths 2023

From ATM, see the Summer Solvers series, For Twitter users these are tagged #summersolvers. Each day in August, at 10 am, ATM are posting a problem from their archives for a range of age groups, we have problems to work on for KS2 to KS5 (UK ages 6 – 18).

For August 4th we have Number Spirals, from 30 Years On, a collection of classic mathematical ideas and activities. Note that you can look inside the book and the pdf includes 2 problems, Fractional Triangle and Number Spirals.

ATM – 30 years on

…and on the subject of GCSE coursework, there are some classics in this old Edexcel document.


For many investigations, see this series of pages. Anyone for Diffy?


Nrich are again publishing a challenge a day throughout the UK summer break. Every weekday from 10 July to 1 September, a new challenge will appear on this Primary page (for under 11s) and this Secondary page (for over 11s). Once students have tried the day’s challenge, they will be able to compare their approach to previously published students’ solutions.

Nrich – What Numbers Can We Make Now?

Also, from Nrich, remember there are many interactive games and puzzles.


Transum Mathematics

Perhaps try some curve stitching on Transum. Also, on Transum, you will find School Holiday Maths Activities; this collection has many activities to encourage students to continue their learning during the holidays. These are categorised, and we have a lovely mixture of learning, puzzles, and games to make students think. There is a great deal of choice here. See also the full list of all fun maths activities.


Try these brilliant GeoGebra puzzles from Daniel Mentrard, also his 64 geometric puzzles.

Puzzles – Daniel Mentrard

Perhaps try Tangram on Mathigon.
How many of the different shapes can you make?

Nrich also have a Tangram activity for students age 7 – 11 or for 5-14 years olds try Tangram Pictures.

Nrich Tangram Browser

I do enjoy puzzles, and the summer break offers time for more! Try the series of pages, Puzzles & Games available from the top menu.

Index

To highlight just a few resources from this large collection, Algebra includes the lovely SolveMe mobiles puzzles.

Or, for a rather different approach, try Shuttle Mission Workshop from Math Playground, here students build and solve their own visual math puzzles. Play Shuttle Mission Pro first to practise.

Nrich features on many pages, including reading; Nrich has many excellent articles on the use of games in the classroom; hence a Reading page.


Geometry includes a collection of puzzles from Catriona Agg, who has made a collection of screenshots (Google Drive link) freely available.

Catriona Agg

Given three squares and a rectangle. What’s the shaded area?

In response to this puzzle, Rob Smith created an Autograph file. Rob has set this up to change both squares, and you can also move a point on the smaller square.


On Probability and Statistics try…

Guess the Correlation
Guess the Correlation – Omar Wagih

The collection includes from Cambridge PhD student Omar Wagih, ‘Guess the Correlation‘, a rather addictive game with a purpose – Omar Wagih is collecting the data on the guesses collected and using it to analyse how we perceive correlations in scatter plots. Select About to read the rules and further details.


The Underground Maths page includes several resources on puzzles and games.


Underground Maths – Equation Sudoku

From Underground Maths try Equation Sudoku for example.

We can write down equations:
c+g+k=17

f+g+a =19

m+k+c =16

and so on.

As always on Underground Maths, we have suggestions, a complete solution, and printable/supporting materials.

Mathematical Miscellany #85

A compilation this week…


From Sarah Farrell, Maths comprehensions on 12 different topics.

This has been added to the Literacy Skills in Mathematics collection.

Edexcel – Teacher’s Guide to Command Words

From AMSP, a new magazine for current Year 10 students – Quick Maths.

Do you have students who ponder the questions:
What do you want to be when you grow up?
or
Ever feel like you’re never going to be good enough?
Your students will learn about ‘Maths Anxiety’, hear from students and their experiences of post-16 maths and more in this issue of Quick Maths.

AMSP

Andy Lutwyche

I always check Andy’s latest resources, his recent resources include Fill in the Blanks exercises.
(See Fill in the blanks for more exercises).


Look at these new resources from GeoGebra


Seeing Sarah Farrell’s first comprehension task on the solar system reminded me of all the educational resources available from NASA. Space Math @ NASA introduces students to the use of mathematics in today’s scientific discoveries. The site includes Mathematics in the news – a look at the Mathematics involved in NASA press releases together with resources.

Check the Space Math Educator Guide and note the Problem Books and Problem Archives which contain an extensive collection of problems. Several booklets are also available, see for example Exploring Space Math on Standard Form which includes full solutions. Booklets include introductory pages including a table showing the topics covered by each activity. Why not use some solar wind magnetism data when teaching directed numbers or use solar flares when looking at equations and substitution?


GCSE to A Level Transition, University Admissions Tests, end of term activities.

With the end of term approaching, or almost here depending on your school, I thought it would be useful to check and write any necessary updates for these pages.


OCR, Bridging the Gap – A Student Guide

GCSE to A Level Transition includes many useful resources for students who have completed GCSE Maths and will be going to A Level.


Oxford University Mathematics Aptitude Test, 2007, Q1D

University Admissions Tests, provides details and resources for various admissions tests for university. Such resources provide challenging questions for students anywhere studying Mathematics beyond age 16.


Workers of Zen

…and if you are looking for some end of term activities, this collection includes many ideas.


Maths Exams 2023 – final weeks


For Further Maths, some students will be taking Decision Maths papers, Decision Maths resources can be found using these pages Decision Maths and Decision Maths – Teaching Resources.


A reminder that the following posts all include revision resources for Further Maths.


The AEA qualification from Pearson is based on the A Level specification and designed for the top 10% of students to help differentiate between the most able candidates. Exam materials for the 2018 specification are available here.

For legacy AQA exams, some legacy papers and mark schemes are available on Colmanweb (I found I could access the pdf versions of papers). From the University of Warwick extended solutions for the 2002 to 2013 papers are available.

Sample Assessment Material – Pearson

GCSE Maths Paper 3 2023

See GCSE Revision 2024


We will start with the legend – Corbett Maths


An important reminder from Graham Cumming:


Resources for each of AQA, Edexcel, and OCR follow.


Two practice papers for AQA from Pete Mattock based on his analysis of the first two papers.


A practice paper and solutions are available for AQA Paper 3H.

Ist Class Maths has created student-friendly versions of Key Topics for both AQA and Edexcel:

From 1st Class Maths, Paper 3 Key topics for AQA and Edexcel are here, you can also see the publication dates for practice papers.


From Third Space Learning, practice papers for AQA, Edexcel and OCR. Note that “Set 1A and Set 1B maths past papers are based on topics from the GCSE Advanced Information 2022; Set 2 onwards are aimed at those sitting their 2023 GCSE maths exam.”



1st Class Maths has provided a spreadsheet of key topics for Paper 3.

See also the student-friendly versions for both AQA and Edexcel:


From JustMaths – Paper 3 Hit Lists:


On the Third Space Learning blog, see the post from Christine Norledge on “GCSE Maths Paper 2 2023: Summary Of Topics, Questions & Planning For Paper 3” (Edexcel)


From Third Space Learning, practice papers for AQA, Edexcel and OCR. Note that “Set 1A and Set 1B maths past papers are based on topics from the GCSE Advanced Information 2022; Set 2 onwards are aimed at those sitting their 2023 GCSE maths exam.”


From DrFrost Maths, we have a GCSE Higher Tier Predicted Paper 3.

An online version is also available:


In the PixiMaths Revision zone, Edexcel higher and Foundation papers:


From Maths Planner, Edexcel Paper 3 Practice Papers for Foundation and Higher complete with fully worked solutions.


Hannah Kettle’s Foundation Paper 3 is available with solutions on YouTube:

..and Higher


The GCSE Maths Tutor has created Paper 3 Practice booklets for Edexcel.


Megan Hibbert has created a revision mat for Edexcel paper 3,

Megan Hibbert – Edexcel Paper 3 Revision Mat

From Matt Woodfine on Maths White Board:


From Richard Morley, updated Edexcel Paper 3 prioritised Foundation and Higher revision lists with QR codes to revision videos.





Miss Pounder has used the analysis from 1st Class Maths and Just Maths to create an Edexcel higher paper 3 revision mat, note this is currently only in Microsoft Publisher Format and solutions are not provided.


From Gemma Heald, unseen topics and collated questions from June 17-19 for OCR.


From Dave Taylor, see his OCR resources and note his suggested topics here:

Dave Taylor OCR P6 Mat

From Third Space Learning, practice papers for AQA, Edexcel and OCR. Note that “Set 1A and Set 1B maths past papers are based on topics from the GCSE Advanced Information 2022; Set 2 onwards are aimed at those sitting their 2023 GCSE maths exam.”