Describing patterns and sequences

problem
Baravelle

Age

7 to 16

Challenge level

What can you see? What do you notice? What questions can you ask?
problem
Elevenses

Age

11 to 14

Challenge level

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
problem
Birds in the garden

Age

5 to 11

Challenge level

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?
problem
Repeating patterns

Age

5 to 7

Challenge level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?
problem
Mobile numbers

Age

5 to 11

Challenge level

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?
problem
Expanding zeros

Age

11 to 14

Challenge level

Weekly Problem 22 - 2008
The following sequence continues indefinitely... Which of these integers is a multiple of 81?
problem
Caterpillars

Age

5 to 7

Challenge level

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
problem
Investigating Pascal's triangle

Age

7 to 11

Challenge level

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
problem
Street sequences

Age

5 to 11

Challenge level

Investigate what happens when you add house numbers along a street in different ways.
problem
Triangle numbers

Age

11 to 14

Challenge level

Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?