Exploring and noticing

problem
Paper patchwork 1

Age

5 to 7

Challenge level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
problem
Can you traverse it?

Age

14 to 18

Challenge level

How can you decide if a graph is traversable?
problem
Who's who?

Age

11 to 16

Challenge level

Can you solve the clues to find out who's who on the friendship graph?
problem
Dice stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem
Centred squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
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
Move those halves

Age

7 to 11

Challenge level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
list
Exploring and noticing - short problems

Age

11 to 16

A collection of short Stage 3 and 4 problems on Exploring and Noticing.