Search

problem

Favourite

Picture your method

7 to 11

Can you match these calculation methods to their visual representations?

problem

Favourite

What was in the box?

5 to 7

This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

problem

Favourite

Multiple surprises

11 to 16

Sequences of multiples keep cropping up...

problem

Not a polite question

11 to 14

When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...

problem

Time of birth

11 to 14

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

problem

Two triangles in a square

14 to 16

Given that ABCD is a square, M is the mid point of AD and CP is perpendicular to MB with P on MB, prove DP = DC.

problem

Pentabuild

16 to 18

Explain how to construct a regular pentagon accurately using a straight edge and compass.

problem

The mathemagician's seven spells

7 to 11

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

problem

Favourite

Can you make 100?

11 to 14

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

problem

The Koch snowflake

16 to 18

Explore the strange geometrical properties of the Koch Snowflake.

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Search

Picture your method

What was in the box?

Multiple surprises

Not a polite question

Time of birth

Two triangles in a square

Pentabuild

The mathemagician's seven spells

Can you make 100?

The Koch snowflake