Archive for Scottish Highers

That Scottish Higher Maths Paper 1…

Posted in Education, mathematics with tags , , , on May 15, 2026 by telescoper

Talking of Examinations, I saw an article on the BBC website about a recent Higher Maths paper in Scotland which has generated complaints and a petition because it was allegedly unfair. The introduction to the petition states:

This is not a complaint that the paper was too hard. Students expect to be challenged. The problem is that the 2026 Higher Maths Paper 1 used language and phrasing that was confusing, ambiguous, and inconsistent with every past paper students had revised from. Questions were not simply difficult — they were worded in ways that made it genuinely unclear what was being asked.

Past SQA Higher Maths papers have followed a recognisable style: clear command words, standard notation, and questions that test understanding rather than the ability to decode unusual phrasing. The 2026 Paper 1 departed from this in ways that penalised well-prepared students simply because the wording did not match the conventions they had been taught to expect.

Numerous other news outlets have covered the story too. It is frustrating that most of the pieces focus on what people said about the paper but don’t actually include a link to the paper itself, making it impossible to make your own mind up.

So you can make your own mind up here is a scan of the actual paper (obtained from here):

2026_Higher_Maths_Paper_1_ScanDownload

Bear in mind that the Scottish examination system is not the same as in England & Wales – the “Highers” are not as advanced as A-levels and are more similar to the Irish Leaving Certificate.

My opinion, for what it’s worth having neither taught nor studied in the Scottish system, is that there is nothing out of the ordinary with this paper. There is a lot to do in just 75 minutes – for 12 questions that’s just over 6 minutes a question. I don’t like examinations that are speed tests.

That said, the questions look well structured and the “command words” are without exception on the list here. Some questions are easy and others harder: I think Question 12 is the most difficult, but I think that’s intentional – to stretch the stronger students. The only thing I would quibble with is the wording of 11(a) (ii):

The second sentence is redundant. How can one possibly “explain why” without giving “a reason”? The reason is basically that the quadratic remaining after you have taken out the factor (x+2) does not factorize.

I looked at the 2025 Paper 1 and it seems a similar level, though the questions are phrased in a terser fashion. Here it is for reference:

NH_Mathematics_Paper1-Non-calculator_2025Download

There may well be context that I’m missing, however, so I’d welcome comments on the diffculty and/or fairness through the box below.

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Examination Shenanigans

Posted in Covid-19, Education, Maynooth with tags , , , on August 12, 2020 by telescoper

So here I am in my office while the first batch of our repeat examinations gets under way here in Maynooth. They seem to have started correctly so I’ve taken a break to have a cup of coffee and catch up on the news.

I find that examinations seem to be making headlines in the United Kingdom. First there was a to-do and a hoo-ha in Scotland that resulted in school examination results that had been downgraded being upgraded again. The downgrading involved using some sort of statistical model to `correct’ teacher-assigned grades and coursework but this model apparently generated significant anomalies.

Then, not to be outdone by the Scots, the English government has announced that estimated A-level grades, presumably obtained by a similar process to that deployed in Scotland, were to be upgraded too. Or not. It seems they will get the original grades but be able to appeal the results.

Writing in today’s Daily Telegraph, presumably without irony, Gavin Williamson explains the decision not to upgrade A-level results automatically:

Increasing the A Level grades will mean a whole generation could end up promoted beyond their abilities.

Gavin Williamson wrote that. Gavin Williamson.

Universities in the UK receive A-level results a few days before the students in order to make admissions decisions, but this year the results students eventually receive may differ from those the universities got. I can imagine the chaos this is causing behind the scenes.

If I understand correctly the new `Triple Lock’ on A-level results means that a student’s grade will be whichever is the highest of:

  • their mock exam result;
  • the grade estimated by their teacher;
  • an A*.

(OK, I made up that last bit.)

Some people think this approach might lead to grade inflation, but I imagine the authorities are less concerned about that than they are by the prospect of getting sued.

Another issue with the downgrading/upgrading situation is that students who took the International Baccalaureate (IB) and have received algorithmic grades have not had their grades increased, which seems to put them at a disadvantage with respect to students who took A-levels and may cause them to miss out on UK university places.

Meanwhile, here in Ireland, we await the School Leaving Certificate results. These are not due until 7th September but I think the plan is to moderate them as in the United Kingdom. Delaying these results gives Ireland the chance to learn from the UK but whether the process will end up being any fairer here is anyone’s guess!

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