I wonder ... what if ...?
When were you last curious? What was it that provoked your curiosity? What compelled you to explore further?
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What Was in the Box? Age 5 to 7
Challenge Level
Challenge Level
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
Break it Up! Age 5 to 11
Challenge Level
Challenge Level
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
Holes Age 5 to 11
Challenge Level
Challenge Level
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
Four Triangles Puzzle Age 5 to 11
Challenge Level
Challenge Level
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Making Maths: Birds from an Egg Age 7 to 11
Challenge Level
Challenge Level
Can you make the birds from the egg tangram?
Creating Cubes Age 7 to 11
Challenge Level
Challenge Level
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
Sweets in a Box Age 7 to 11
Challenge Level
Challenge Level
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Number Sandwiches Age 7 to 14
Challenge Level
Challenge Level
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.