Describing patterns and sequences
problem
Rods and rods
Age
7 to 11
Challenge level
Using only the red and white rods, how many different ways are there to make up the other colours of rod?
problem
Steps to the podium
Age
7 to 14
Challenge level
It starts quite simple but great opportunities for number discoveries and patterns!
problem
Polygonals
Age
7 to 11
Challenge level
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
problem
Paving paths
Age
11 to 14
Challenge level
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
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
Many matildas
Age
11 to 14
Challenge level
MatildaMatildaMatil... What is the 1000th letter?
problem
Sending cards
Age
7 to 11
Challenge level
This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
problem
Taking steps
Age
7 to 11
Challenge level
In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.
