Describing patterns and sequences

problem

Triangular Hexagons

Age

7 to 11

Challenge level

1 out of 3

Investigate these hexagons drawn from different sized equilateral triangles.
problem

Paving Paths

Age

11 to 14

Challenge level

2 out of 3

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
problem

Archimedes and Numerical Roots

Age

14 to 16

Challenge level

2 out of 3

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
problem

Lastly - Well

Age

11 to 14

Challenge level

3 out of 3

What are the last two digits of 2^(2^2003)?
problem

Little Squares

Age

5 to 7

Challenge level

1 out of 3

Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?
problem

Chairs and Tables

Age

5 to 7

Challenge level

1 out of 3

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
problem

So It's 28

Age

5 to 7

Challenge level

1 out of 3

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
problem

En-Counters

Age

5 to 7

Challenge level

1 out of 3

This task requires learners to explain and help others, asking and answering questions.
problem

Amazing Alphabet Maze

Age

5 to 7

Challenge level

2 out of 3

Can you go from A to Z right through the alphabet in the hexagonal maze?
problem

Lawn Border

Age

5 to 11

Challenge level

1 out of 3

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?