Sitting Round the Party Tables
Age 5 to 11
Challenge Level
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Square It
Age 11 to 16
Challenge Level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Rectangle Tangle
Age 7 to 11
Challenge Level
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
Cuisenaire Spirals
Age 7 to 11
Challenge Level
Can you make arrange Cuisenaire rods so that they make a 'spiral' with right angles at the corners?
The Numbers Give the Design
Age 7 to 11
Challenge Level
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Fair Feast
Age 5 to 11
Challenge Level
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Brush Loads
Age 7 to 11
Challenge Level
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Eye View
Age 7 to 11
Challenge Level
Why does the tower look a different size in each of these pictures?
Cubes Here and There
Age 7 to 11
Challenge Level
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
Display Boards
Age 7 to 11
Challenge Level
Design an arrangement of display boards in the school hall which fits the requirements of different people.
Picture a Pyramid ...
Age 7 to 11
Challenge Level
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
Ribbon Squares
Age 7 to 11
Challenge Level
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Fraction Fascination
Age 7 to 11
Challenge Level
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Stick Images
Age 7 to 14
Challenge Level
This task requires learners to explain and help others, asking and answering questions.
Inky Cube
Age 7 to 14
Challenge Level
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
Tumbling Down
Age 7 to 11
Challenge Level
Watch this animation. What do you see? Can you explain why this happens?
NRICH is part of the family of activities in the Millennium Mathematics Project.