List

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?
problem
Favourite

What was in the Box?

Age
5 to 7
Challenge level
filled star empty star empty star
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!
problem
Favourite

Break it up!

Age
5 to 11
Challenge level
filled star empty star empty star

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
problem
Favourite

Holes

Age
5 to 11
Challenge level
filled star empty star empty star

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
problem
Favourite

Four Triangles Puzzle

Age
5 to 11
Challenge level
filled star empty star empty star

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?

Creating Cubes
problem

Creating Cubes

Age
7 to 11
Challenge level
filled star filled star empty star
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
problem
Favourite

Sweets in a box

Age
7 to 11
Challenge level
filled star empty star empty star

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
problem

Number Sandwiches

Age
7 to 14
Challenge level
filled star filled star empty star
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?