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
Baravelle

Age

7 to 16

Challenge level

What can you see? What do you notice? What questions can you ask?
problem
Pocket money

Age

11 to 14

Challenge level

Which of these pocket money systems would you rather have?
problem
Days and dates

Age

11 to 14

Challenge level

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...