Describing patterns and sequences

problem
Holes

Age

5 to 11

Challenge level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
problem
Sorting the numbers

Age

5 to 11

Challenge level

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?
problem
Counting stick conjectures

Age

5 to 11

Challenge level

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
problem
Month mania

Age

5 to 11

Challenge level

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
problem
Taking a die for a walk

Age

5 to 11

Challenge level

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.
problem
Hundred square

Age

5 to 11

Challenge level

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
problem
School fair necklaces

Age

5 to 11

Challenge level

How many possible symmetrical necklaces can you find? How do you know you've found them all?
interactivity
Favourite

Cuisenaire environment

Age

5 to 16

Challenge level

An environment which simulates working with Cuisenaire rods.
problem
Swimming pool tiles

Age

7 to 11

Challenge level

This activity creates an opportunity to explore all kinds of number-related patterns.
problem
Exploring wild and wonderful number patterns

Age

7 to 11

Challenge level

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.