Here are my Top 10 Tips for STEP I wrote for my students just before they went into Study Leave. Feel free to use/disagree/add your own tips...

The horrible realisation has just dawned on me that next year, hoping I make it, will be the only year in my lifetime that is a square number. #depressed_mathematician

Without doing any calculations: If you expressed the number halfway between 100! and 101! as k*100!, what would you imagine to be true about the value of k?

Let N be the number of seconds from the first second of the year 2000 up to and including the last second of 2024. What factorial, n!, is closest to the value of N? When would the closest factorial then become (n+1)! ?

I have a couple of IMO-standard A Level students who want to publish a paper they have written. They would like it to be open access and not too long a process to get it published, but it is original research. Does anyone have any recommendations?

A bit silly, or promotes discussion? (I'm undecided!)

Does anyone else have a student who has made a human error in applying for a university admission test with Pearson Vue and is now faced with the possibility of not being able to apply to Oxbridge? Given it is the first year like this, it feels a little harsh? #PearsonVue

Have I been having too much fun?!

For any students or teachers who are interested: a colleague of mine is running a free online 'Help with GCSEs' course, the first session being on 12th March. Please let anyone who might be interested know. Details on the poster below:

This A Level question could easily be mistaken for being more straightforward than it is...

Consider the equation kx=sin(x) where x can take any real number value. For what value(s) of k does the equation have the same number of solutions regardless of whether x is measured in degrees or radians?