Describing patterns and sequences

problem

Lost Books

Age

7 to 11

Challenge level

While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?
problem

Transformation Tease

Age

7 to 11

Challenge level

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
problem

More Pebbles

Age

7 to 11

Challenge level

Have a go at this 3D extension to the Pebbles problem.
problem

Extending Great Squares

Age

7 to 11

Challenge level

Explore one of these five pictures.
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

Magic Crosses

Age

7 to 14

Challenge level

Can you find examples of magic crosses? Can you find all the possibilities?
problem

Steps to the Podium

Age

7 to 14

Challenge level

It starts quite simple but great opportunities for number discoveries and patterns!
problem

Mean Sequence

Age

11 to 14

Challenge level

Weekly Problem 38 - 2009
This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?
problem

Expanding Pattern

Age

11 to 14

Challenge level

How many squares are needed to continue this pattern?
problem

Many Matildas

Age

11 to 14

Challenge level

MatildaMatildaMatil... What is the 1000th letter?