Describing patterns and sequences

problem
What numbers can we make now?

Age

11 to 14

Challenge level

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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
Unravelling sequences

Age

7 to 11

Challenge level

Can you describe what is happening as this program runs? Can you unpick the steps in the process?
problem
Magic crosses

Age

7 to 14

Challenge level

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

Age

11 to 14

Challenge level

What's the greatest number of sides a polygon on a dotty grid could have?
problem
Growing surprises

Age

11 to 14

Challenge level

Can you find the connections between linear and quadratic patterns?
problem
Fibonacci surprises

Age

11 to 14

Challenge level

Play around with the Fibonacci sequence and discover some surprising results!
problem
Beach huts

Age

11 to 14

Challenge level

Can you figure out how sequences of beach huts are generated?
problem
Quadratic patterns

Age

14 to 16

Challenge level

Surprising numerical patterns can be explained using algebra and diagrams...