Explaining, convincing and proving

problem
Statement snap

Age

7 to 14

Challenge level

You'll need to know your number properties to win a game of Statement Snap...
problem
Making pathways

Age

7 to 11

Challenge level

Can you find different ways of creating paths using these paving slabs?
problem
Triangular intersection

Age

14 to 16

Challenge level

What is the largest number of intersection points that a triangle and a quadrilateral can have?
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Always, sometimes or never? Number

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Always, sometimes or never? KS1

Age

5 to 7

Challenge level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
problem
Always, sometimes or never?

Age

5 to 11

Challenge level

Are these statements relating to odd and even numbers always true, sometimes true or never true?
problem
Open squares

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
problem
Star polygons

Age

11 to 14

Challenge level

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
problem
Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?