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Senior Mathematical Challenge

First Round Challenge: A 90 minute, 25 multiple choice question first round Challenge aimed at students year 13 or below. The problems on the Senior Maths Challenge are designed to make students think. Stimulating problems for both beginners and experienced problem-solvers.

NB: the deadline for ordering physical Paper Entries is Tuesday 12th September 2023. 

Time limit
90 minutes

£13 for 10 entries

Age group
England, Wales and Overseas: Year 13 and below
Scotland: S6 or below
Northern Ireland: Year 14 or below

Deadline for physical paper purchases
Tuesday 12th September 2023

Challenge Date
Tuesday 3rd October 2023

How it works


Register your school


Purchase entries


Sit challenge


Receive results

For full information on how to host the Senior Mathematical Challenge please visit the Challenge Handbook.

Preparing for the challenge

We are delighted to be working with Dr Frost Maths to help teachers use UKMT past papers and problems in the classroom.

You can utilise UKMT past papers, solutions and investigations as preparation materials for your students. They are a great resource containing high-quality problems from previous years designed to encourage mathematical thinking.


The use of blank paper for rough working is allowed; squared paper, calculators and measuring instruments are forbidden.

Use a B or an HB non-propelling pencil.

Do not expect to finish the whole paper in the time allowed. The questions in this paper have been arranged in approximate order of difficulty with the harder questions towards the end. You are not expected to complete all the questions during the time. You should bear this in mind when deciding which questions to tackle.

The questions on this paper are designed to challenge you to think, not to guess. You will gain more marks, and more satisfaction, by doing one question carefully than by guessing lots of answers. This paper is about solving interesting problems, not about lucky guessing.

To accommodate candidates in other time zones, please do not discuss any aspect of the paper on the internet until 8am GMT on Thursday 5 October. Candidates in time zones more than 5 hours ahead of GMT must sit the paper on Wednesday 4 October (as defined locally).

Past Papers

Download UKMT’s free past papers to help students achieve better results.

Maths Books

Browse UKMT’s range of maths books and older past papers on Amazon to help you and your students prepare for maths challenges.

Andrew Jobbings Senior Kangaroo

Follow-on Round: 
The Andrew Jobbings Senior Kangaroo. A 60 minute, 25 multiple choice question follow-on round aimed at students year 13 or below.

British Maths Olympiad Round 1

Follow-on Round:
A 3.5 hour, 6 question Olympiad aimed at students in year 13 and below. Available to both UK and overseas schools.

British Maths Olympiad Round 2

A 3.5 hour, 4 question Olympiad aimed at students in year 13 and below.

Ready to join the
Senior Mathematical Challenge

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