A Collection of Forty Open-ended Investigative Activities
for the A Level Pure Mathematics Classroom
by Jonny Griffiths
www.risps.co.uk
This page last edited Dec 2025
The original risps and their notes have been updated!
The results are now available as the Risps 2026 PDF eBook,
which can be downloaded for free below (size circa 12 MB).
As a backup, I've also placed this onto Payhip, where it can be downloaded for free.
The revised tasks also include new Excel and GeoGebra files that can be downloaded below.
risp-1.xlsm: Excel file with macros: Triangle/prime numbers risp-9.ggb: Geogebra file: Special circles risp-13.xlsm: Excel file with macros: Adding random numbers risp-14.xls: Excel file without macros: Geoarithmetic equences risp-18.ggb: Geogebra file: Exploring fg = gf risp-20.xls: Excel file without macros: Exploring un, sn risp-26.ggb: Geogebra file: Generating the compound angle formulae risp-28.xlsm: Excel file with macros: Dice simulation for illness spread risp-32.xlsm: Excel file with macros: Exploring nCr
Some files, especially the 'Excel with macros' ones, may need to be security-enabled on your computer.
The 'Associated Computer Files' section in the eBook says more on this.
Autograph can be downloaded for free here.
Geogebra can be downloaded for free here.
I would suggest the Classic 5 version.
The forty risp tasks are given below in a Word document in case you wish to customise any of them.
40 Risp Tasks 2026 Word Document
Examples of student work
Jamie from Stroud School on Risp 37
I'm keen to exhibit more student work here;
do please send in material you would like me to exhibit.
If you have problems with any of the downloads,
email me on the address below and I'll send them to you direct.
If you like the eBook, please spread the word.
I feel sure that the new materials are a big step up on what was here before.
You might choose to copy the image below and circulate it - if you do, thank you.
The old website has been taken down. I hope downloading the new eBook and working from that will turn out to be a better way to go.
Any feedback/corrections for the new tasks and notes will be gratefully received.
Please email me at
Always teach risponsibly! Best wishes, Jonny
The risp tasks were originally written as part of a
Gatsby Teacher Fellowship 2005-6, supported by the Gatsby Foundation
Jonny's website: www.jonny-griffiths.net
If you have any copyright worries or complaints about any image or words on this site,
please click HERE and the situation will be swiftly resolved.
