Every day during Maths Week Scotland a new puzzle is set by the Deputy First Minister. See if you can work together to solve them!

DFM Challenges 03

Problem 1: Strikers

It was the 2017 season when Rovers won the league with that fabulous striking trio of McAnish, McBurnie and McClure scoring all the goals. How many did they score? Well,

  • McAnish and McBurnie scored 48 between them,
  • McBurnie and McClure scored 43 between them,
  • McClure and McAnish scored 57 between them.

That should be enough information to discover how many goals the strikers scored individually. Can you work it out? Explain your answer carefully.

If you need a hint to get started check out the video below from BBC Scotland featuring Chris Smith

DFM Challenges 02

Problem 2: Number triangle

This problem is about finding the numbers inside a triangle.

Looking at the number triangle in the video here, answer the following question:

Which number should go in the section marked with a star?

Need a hint?

  • Can you work out the smallest number first?
  • What are the different number pairs that can make 8?
  • Are any of them impossible in this number triangle?

You can only use a number once in the triangle!

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Problem 3: Fractions of a square

This problem is all about working out the fraction that triangles take up inside a square.

Looking at the three squares shown in the video, answer the following question:

What fraction of each of the squares is coloured blue?

DFM Square

Inspired by the annual Mathématiques sans Frontières contest, this mini-competition is for any class to complete together.

Maths Wi Nae Borders is now open until 31 October 2020.

To take part follow these steps:

  • Download the competition pack
  • Register your class using the form below
  • Complete the competition and email submissions following the instructions in the pack by 31 October

Any questions contact

Apply for a Challenge

Calling all maths artists!

Maths is part of our daily life but sometimes we don’t really think about it. The home, exercise route, daily dog walks and the weekly shop turned into a playground… your chance to get creative and make mathematical connections!

Maths inside is a photo competition open to everyone living in Scotland

Can you see the maths inside?

Take a look at our suite of resources created to inspire deeper mathematical connections with your surroundings. The maths inside is waiting to be discovered!


Sumdog are back to host their free annual contest celebrating Maths Week Scotland 2020.

With 20 million maths questions answered, the contest is a great way to motivate children, encourage learning and help build their confidence!
Teachers can sign up their class online and play Sumdog in class or set it as homework, it all counts towards the contest.

Last year thousands of pupils competed against other classes across the country to be in with the chance of winning great prizes. Troon Primary School nabbed the top spot with an average of 937/1000 correct answers - can your class beat them this year?

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Mangahigh Maths Week Quest

Get your school competing in the M-Fluencers Maths Week Scotland Quest to win amazing prizes for your students, your school and yourself!

Your students complete fun maths activities on the Mangahigh platform to win points for your school and climb on the nationwide leaderboard. Participation is free!

Suitable for Primary and Secondary