Describing patterns and sequences

problem
Sets of numbers

Age

7 to 11

Challenge level

How many different sets of numbers with at least four members can you find in the numbers in this box?
problem
Beads

Age

7 to 11

Challenge level

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
problem
Light blue - dark blue

Age

7 to 11

Challenge level

Investigate the successive areas of light blue in these diagrams.
problem
All seated

Age

7 to 11

Challenge level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
problem
Sets of four numbers

Age

7 to 11

Challenge level

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
problem
Function machines

Age

7 to 11

Challenge level

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
problem
Button-up some more

Age

7 to 11

Challenge level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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
Bundles of cubes

Age

7 to 11

Challenge level

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
problem
Sticky triangles

Age

7 to 11

Challenge level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?