Poly Plug Rectangles
Stage: 1 Challenge Level: 
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
I Like ...
Stage: 1 Challenge Level:
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
How Odd
Stage: 1 Challenge Level:
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
Wallpaper
Stage: 1 Challenge Level:
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?
A Bag of Marbles
Stage: 1 Challenge Level:
Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?
Two Numbers Under the Microscope
Stage: 1 Challenge Level:
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Lots of Lollies
Stage: 1 Challenge Level:
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
If the World Were a Village
Stage: 1 and 2 Challenge Level:
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?
In the Playground
Stage: 1 and 2 Challenge Level:
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
Guess the Dominoes
Stage: 1, 2 and 3 Challenge Level:
This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.
NRICH is part of the family of activities in the Millennium Mathematics Project.