If the World Were a Village
Age 5 to 11
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?
How Many Times?
Age 7 to 11
Challenge Level
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
National Flags
Age 7 to 11
Challenge Level
This problem explores the shapes and symmetries in some national flags.
Coded Hundred Square
Age 7 to 11
Challenge Level
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Cows and Sheep
Age 7 to 11
Challenge Level
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Torn Shapes
Age 7 to 11
Challenge Level
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
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.
Tricky Track
Age 7 to 11
Challenge Level
In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?
A Puzzling Cube
Age 7 to 11
Challenge Level
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Two Clocks
Age 7 to 11
Challenge Level
These clocks have only one hand, but can you work out what time they are showing from the information?
Sealed Solution
Age 7 to 11
Challenge Level
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Dice in a Corner
Age 7 to 11
Challenge Level
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
Nice or Nasty
Age 7 to 14
Challenge Level
There are nasty versions of this dice game but we'll start with the nice ones...
Three Neighbours
Age 7 to 14
Challenge Level
Take three consecutive numbers and add them together. What do you notice?
Dicey Operations
Age 11 to 14
Challenge Level
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
NRICH is part of the family of activities in the Millennium Mathematics Project.