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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# I Wonder ... What If ...?

### What Was in the Box?

### Break it Up!

### Holes

### Four Triangles Puzzle

### Making Maths: Birds from an Egg

### Creating Cubes

### Sweets in a Box

### Number Sandwiches

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When were you last curious? What was it that provoked your curiosity? What compelled you to explore further?

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Age 5 to 7

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?

Age 5 to 11

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?

Age 5 to 11

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?

Age 5 to 11

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?

Age 7 to 11

Challenge Level

Can you make the birds from the egg tangram?

Age 7 to 11

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.

Age 7 to 11

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?

Age 7 to 14

Challenge Level

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?