Are Old Exam Papers Worth Keeping? What a 1973 Maths Paper Can Still Teach Us Today
My wife recently found a collection of her old examination papers from 1981. I have gone one better — or perhaps worse, depending on how you look at it — because I still have some of my Mathematics examination papers from 1973.
At first glance, they are simply curiosities.
They are pieces of personal history: reminders of classrooms, examinations, teachers and a very different educational world. They also make interesting objects to show younger students, who sometimes look at them as though they have come from an archaeological excavation.
But are old examination papers actually useful?
I do not mean papers from five or ten years ago. Those have an obvious value for revision, provided that the specification has not changed too much.
I mean papers that are 30, 40 or even 50 years old.
Can a student in 2026 learn anything useful from an examination written in 1973?
I think the answer is yes — provided we use them intelligently.
Old examination papers are much more than a way of starting the familiar argument about whether examinations were harder in the past. In fact, that may be one of the least interesting things we can do with them.
They allow us to explore how mathematics, science, education and assessment have changed — and, perhaps more importantly, what has not changed.
First, We Need to Avoid the "Exams Were Harder in My Day" Trap
Whenever an old examination paper appears on social media, it is almost inevitable that somebody will say:
"Children today could never do this."
Another person will respond:
"Today's examinations are much harder."
Both conclusions can be misleading.
You cannot take a question from 1973, give it to a modern student who has never been taught the relevant material and conclude that educational standards have fallen when they cannot answer it.
Equally, giving a modern question involving technology, statistics or a mathematical technique that was not commonly taught in the same way half a century ago does not prove that modern students are more capable.
The curriculum changes.
The expected methods change.
The available technology changes.
The way questions are written changes.
Even the purpose of particular qualifications changes.
A fair comparison therefore needs much more than simply putting two examination papers side by side.
What Old Papers Can Tell Us
1. They Reveal What Education Once Considered Important
An examination paper is effectively a snapshot of a curriculum.
Look through a sufficiently old mathematics paper and you may find techniques that receive much less attention today.
Conversely, modern papers may include substantial amounts of statistics, data interpretation, modelling or applications that would look very different in older papers.
The interesting question is not necessarily:
Which examination is harder?
It is:
What did each generation believe a student ought to know?
That is a much richer question.
A mathematics syllabus tells us something about mathematics.
An examination paper tells us something about educational priorities.
2. Old Questions Can Be Excellent Mathematics
A mathematical problem does not suddenly become invalid because it was printed in 1973.
A quadratic equation remains a quadratic equation.
Geometry remains geometry.
Trigonometry still works.
The laws of indices have not changed.
The gradient of a straight line has not become obsolete.
That means some old questions can still make very good exercises for modern students.
In fact, removing a question from its current examination context can sometimes make it more interesting.
Instead of asking:
"Will this be on the exam?"
we can ask:
"Can you solve it?"
That small change in attitude can be remarkably valuable.
3. They Can Provide Unfamiliar Questions
One problem with modern examination preparation is that students can become very familiar with the style of their particular examination board.
That is useful — examination technique matters.
But it can also produce what I sometimes call pattern matching rather than problem solving.
A student sees a familiar question and thinks:
"This is question type seven. I know the procedure."
Give them the same mathematics presented in an unfamiliar way and suddenly it becomes much harder.
Old papers are excellent for disrupting that pattern recognition.
A question from 1973 is unlikely to have exactly the wording, layout and structure that a modern student has practised repeatedly.
They therefore have to determine:
What information have I been given?
What mathematics is involved?
What am I actually being asked to find?
Which method might work?
Those are genuine problem-solving skills.
4. The Language of Examination Questions Has Changed
This is one of the things I find particularly interesting.
Modern examinations are generally very carefully designed around specific command words, assessment objectives and mark schemes.
Older questions can sometimes feel much more direct.
At other times they can seem surprisingly formal.
You may encounter wording that a modern student would rarely see.
That makes old papers useful for exploring mathematical literacy.
Can the student extract the mathematics even when the language looks unfamiliar?
That is an important ability outside the examination hall as well.
Real problems do not arrive conveniently labelled:
"This is a simultaneous-equations question worth five marks."
5. They Show How Technology Has Changed Mathematics Education
This is particularly noticeable in mathematics and science.
Think about what a student might have had available in 1973 compared with today.
Modern students may use:
scientific calculators;
graphical calculators;
spreadsheets;
computer algebra;
graphing software;
simulations;
online datasets.
Expectations concerning calculation were therefore very different.
Older papers may contain numerical work that today we would immediately hand to a calculator.
That does not necessarily mean that the old mathematics was harder.
It may mean that different skills were being assessed.
Mental arithmetic, logarithms, numerical approximation and manipulation could have greater importance because the technological environment was different.
That alone makes old papers fascinating documents.
A Great Experiment: Give an Old Paper to a Modern Student
There is an interesting experiment I would like to conduct with some of my old papers.
Take a modern GCSE or A-level student and select perhaps five questions from a much older paper.
But do not simply mark the final answers.
Instead, observe what happens.
Which questions do they recognise immediately?
Which ones seem unfamiliar because of the wording?
Which mathematical ideas do they understand even though the presentation is different?
Which topics have they simply never studied?
That distinction is crucial.
There is a big difference between:
"I cannot do this mathematics."
and:
"Nobody has ever taught me this mathematics."
Then Reverse the Experiment
We could make the comparison even more interesting.
Give an older mathematician or scientist several questions from a modern examination.
Again, do not simply ask whether they can obtain the answer.
Look at their approach.
Do they use a different method?
Do they find modern wording strange?
Do they perform calculations manually where a modern student automatically reaches for a calculator?
Do they recognise the mathematics but not the terminology?
That begins to tell us something genuinely interesting about how mathematical education evolves.
Can We Actually Compare Standards Across 50 Years?
Yes — but doing it properly is extremely difficult.
Suppose I find an algebra question on my 1973 paper and compare it with an algebra question from 2026.
Even if both involve quadratics, that does not automatically make them equivalent.
We would need to consider:
the age of the candidates;
the qualification being taken;
the syllabus;
the amount of teaching time;
whether calculators were permitted;
what techniques candidates had been taught;
the marks available;
the time allowed;
grade boundaries;
the ability range of candidates taking the qualification.
Without those things, conclusions such as "examinations have become easier" or "students used to be better at mathematics" are very difficult to justify.
There may well be interesting changes.
But the paper alone cannot tell the whole story.
Some Things May Have Become Easier — While Others Became Harder
This is another reason I dislike simple comparisons of examination standards.
Education does not move along a single scale from "easy" to "hard".
Imagine an old mathematics paper containing a great deal of algebraic manipulation and lengthy arithmetic.
A modern paper might require less routine calculation but considerably more interpretation, modelling and problem solving.
Which is harder?
There is no simple answer.
They are testing partly different abilities.
A student who is exceptionally good at manipulating algebra may prefer one.
A student who excels at interpreting unfamiliar situations may prefer the other.
Old Papers Are Historical Documents
There is another reason to keep them which has little to do with revision.
They are historical artefacts.
My mathematics papers from 1973 tell us something about education more than half a century ago.
My wife's papers from 1981 capture another moment.
Those dates are particularly interesting because they come from an educational system that preceded many of the structures students now take for granted.
The typography is different.
The instructions may be different.
The assumptions about candidates are different.
Sometimes even the situations used in questions reveal something about everyday life.
Money, transport, industry, units and technology can all place a mathematical question firmly within its period.
An examination paper can therefore become a tiny piece of social history.
A Useful Project for Students
This could make an excellent mathematics or education project.
Find an examination paper from several decades ago and compare it with a modern paper.
Choose perhaps ten questions and classify them.
Still taught today
The mathematics is essentially unchanged.
Taught differently today
The topic still exists, but methods or notation have changed.
No longer prominent
The topic has largely disappeared from the modern course.
Newer areas
Compare these with topics receiving greater emphasis today.
Students could then investigate something more sophisticated than simply deciding which paper "looks harder".
They could ask:
How has the definition of mathematical competence changed?
That is a much more interesting investigation.
Could Old Papers Be Useful in Private Tuition?
Absolutely.
I would not use a 1973 examination paper as a replacement for a student's current specification or current examination-board material.
That would make little sense.
But I would certainly use carefully selected questions.
For example, an older question could be used after teaching a modern topic.
The student knows the mathematics, but has never seen the question.
Now we discover whether they genuinely understand the idea.
That is very different from giving them their tenth almost-identical question from a modern revision book.
Old questions can therefore make excellent extension material.
They Can Help Separate Understanding From Exam Training
This, perhaps, is one of their greatest educational uses.
If I repeatedly train a student using the current examination format, they will inevitably become better at that format.
That is desirable.
But I also want to know whether they understand the mathematics.
An unfamiliar old question provides an interesting test.
If the student says:
"I've never seen one like this before."
my response might be:
"Good. Let's see what mathematics you recognise."
That is where some of the best learning can begin.
There Is Also Something Personal About Keeping Them
I would be reluctant to throw my old papers away now.
Not because I expect them to become valuable collector's items.
They are connected to a particular stage of my own education.
Looking at a mathematics examination I sat in 1973 is rather like looking at an old photograph.
I can remember something of the educational world surrounding it.
The paper has therefore acquired a value completely separate from the questions printed on it.
For my wife, her 1981 papers will presumably have similar associations.
And perhaps that is another reason these things are worth preserving.
Education is not just a collection of qualifications.
It is part of our personal history.
Perhaps We Should Digitise Them
One thing I probably ought to do is scan the old papers.
Paper does not last forever.
A digital archive would allow the originals to be protected while making the questions available for teaching experiments.
It would also make an interesting longer-term project:
1973 versus 2026: Fifty Years of Mathematics Examinations
Choose equivalent topics.
Let modern students attempt the old questions.
Let experienced adults attempt the modern ones.
Compare the methods.
Discuss what has changed.
Rather than using the exercise to prove that one generation is cleverer than another, we could use it to understand how education itself has changed.
That would be far more worthwhile.
The Best Question Is Not "Was It Harder?"
So are examination papers from 1973 or 1981 worth keeping?
I think they are.
They are useful teaching resources.
They contain perfectly good mathematical and scientific problems.
They provide unfamiliar challenges for modern students.
They allow us to study changes in curriculum and assessment.
They reveal changing expectations about calculation, technology and problem solving.
And they preserve a small piece of educational history.
But perhaps their greatest value is that they encourage us to ask a better question.
Instead of:
"Were examinations harder then or now?"
perhaps we should ask:
"What did education expect students to be able to do then — what do we expect them to be able to do now — and why has that changed?"
That is a question worth exploring.
And somewhere in a cupboard I apparently already have more than fifty years' worth of evidence with which to start.
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