Core pure. I'd have to look it up but it led you towards spotting that the line of intersection was perpendicular to the two normals to the two planes (as one might expect) but it was pretty brutal nonetheless.
I googled hidden quadratics and found quite a few pdfs etc. The questions in the Garry Wiseman, Introducing Pure Mathematics has a good exercise on them too.
If you're with Edexcel then an exam question has already appeared with this question, albeit with quite a bit of structure. They decided to class it as a "problem solving" question, thereby removing the need to have it explicitly mentioned in the syllabus.
Mathematicians love games. Games love mathematics. Maybe mathematics is just one big game?
Who better to ask than AI?
Yes please!
I strongly suspect I'll never know 😁
New! My 197th gems post. Ideas, updates and resources for maths teachers. 💎
www.resourceaholic.com/2026/04/5-ma...
#ukmathschat #mathstoday #alevelmaths
The two shapes that make up the design are a quarter circle and a semicircle. The blue angles are the two marked with solidly coloured sectors. The orange angle is the one marked with an arc and a question mark.
The two blue angles are equal. What’s the size of the orange angle?
#mathstoday I've taught lots of mechanics over the years, usually getting annoyed at stats and the necessary magic maths dust that gets sprinkled to gloss over the underlying lack of a coherent structure.
It's therefore quite a surprise to find that I've spent all evening doing stats STEP qs. Fun!
I'm sharing two "rolling powerpoints" I keep updated with
a) all the AMSP and MEI courses and conferences oming up
b) all the exam boards' training and updates
The focus is post-16 but if you bookmark the Dropbox link they shoudl be useful for most secondary
www.dropbox.com/scl/fo/hamhc...
I read this and immediately went into, "Ooh. We can do that now?" mode. 🤣
#parentofteenager
And in between the two, perspire... Heavily.
There's quite a nice proof where you put a point anywhere within the shape and create n triangles. Then you have to remove the 360 degrees around the point. Saves a table 🤣
I have put the Pearson Edexcel information on quartiles into a Word document to download from:
www.dropbox.com/scl/fi/nhsnq...
The best article on all the different quartile methods is:
www.tandfonline.com/doi/full/10....
It's a great read. Even if you don't adopt any of suggestions, and I strongly suggest you do, it's thought provoking and written by two very engaging and gifted teachers of mathematics. A strong recommendation from me.
I love that you've brought in a link to CRVs (if only in my mind). It's never occurred to me to connect these 2 things despite recently brushing up my (very rusty) stats to help a STEP pupil. The [0,n] interval is how I've justified it before.
You do give some very helpful answers, MB. Many thanks.
I find it's more effective if you teach it from a decent distance...
Have you got to hinges and ladders yet?
Completely agree with Susan, and with Maths Bazaar agreeing with Susan.
Hijacking the thread slightly, what do people take as the median (say) position on a cumulative frequency graph?
A worksheet containing 12 questions for students to practise enlarging shapes where the scale factor is negative.
A worksheet containing 12 questions for students to practise reflecting shapes in mirror lines which have a gradient of 1 or -1.
Two new transformation worksheets:
✨ Harder reflections practice grid
✨ Negative enlargements practice grid
Corrected after my Year 9s found a couple of errors!
Find them at www.draustinmaths.com/transformations
#UKMathsChat #MathsToday
A day of significance to me, until I realise that I'm yet another year older.
"Year 10, last lesson you were answering questions successfully (to not) in the ratio 5:3. Today you've stepped up and are answering questions correctly in the ratio 4:1. What is your average percentage improvement?" 🤣
In our household, which may have been suggested by Bill Bailey, farage is the liquid goo left in the bin after a minor leak in the bin bag. We don't even think about now. "Pass me the bleach. There's some farage in the bottom of the bin."
It feels like the modulus sign is doing a lot of heavy lifting here.
Triple scalar is invariant under cyclic rotation of its components a.(bxc)=c.(axb)=b.(cxa). You can change the order to a more helpful triangular base e.g. 1/2|EM X EC|
1/3 of that dotted with any vector to the vertex gives volume.
A-level revision grid containing nine exam-style question on Year 2 sequences and series.
A-level revision grid containing eight exam-style question on Year 2 numerical methods.
More new A-level revision grids added today:
✨Numerical Methods
✨Sequences and Series
Available at www.draustinmaths.com/a-level-topics
Enjoy!
#ALevelMaths #UKMathsChat #MathsToday
You see, I was going to ask which of the, no doubt many, streamed services but I sense I'm Baching up the wrong trio (that may qualify as the most forced pun on Bluesky. How low I have fallen...)
Wouldn't the casio emulator work? I think it's web-based, so that might be more of an issue for exams.
How on earth do you know, aged 14 (when selecting your GCSEs) what you're going to use in your life. You should be exposed to as much as possible. Yes, you'll find things difficult/challenging but when has that ever meant it's not worthwhile.
I understand the feelings of guilt. I get that too. It's especially difficult with small children when you know you're not the only one struggling (sleep deprivation etc).
You're more likely to be there for your family if you have that space and, if you're anything like me, decidedly less grumpy.
