Download past papers and solutions

Providing an additional opportunity for problem solving

The Senior Kangaroo is a follow-on round to the Senior Mathematical Challenge. It is a 60-minute competition consisting of 20 problems.

Unlike the Senior Mathematical Challenge, the answer to each Senior Kangaroo problem is a positive integer less than 1000. Achieving a high score requires engagement with the problems without the benefit of five options to choose from.

We invite several thousand qualifying UK-based students from the Senior Mathematical Challenge to take part in the Senior Kangaroo. Entry to the competition is by invitation only.

How do I take part?

The competition is only open to invited students in schools and colleges based in the UK.

We send invitations to participate in the Senior Kangaroo with the results of the Senior Mathematical Challenge and send competition papers to UKMT centres to arrive at least one week before the competition date.

What happens after the Senior Kangaroo?

Each participant receives a Certificate of Qualification and the top-scoring 25% of participants each receive a Certificate of Merit.

How can I prepare for the Senior Kangaroo?

Teachers can use past Senior Kangaroo papers as a source of high-quality problems to encourage their students to think mathematically and to prepare for the competition. We are delighted to be working with DrFrostMaths to help teachers use past problems in the classroom.

We also sell downloadable past papers and books which can help students to prepare for our competitions.

Why Kangaroo?

We are proud to be the UK member of the Association Kangourou sans Frontières, a collaborative association whose purpose is to promote mathematics among young people around the world. Around six million young people take Kangaroo competitions each year.

The name Kangaroo acknowledges the contribution made by Australia to establishing large-scale mathematics contests.

Can you help us?

If you or someone you know has benefited from our activities then please consider making a donation.

Find out more about volunteering with us.

Senior Kangaroo 2019

Check your account to see if you have any automatic qualifiers for this competition.

Fri 29 Nov 2019
This competition is UK only.
Open to
Year 13 or below S6 or below Year 14 or below
Entry to this competition is by invitation only.