It's useful to be able to recognise similar structures or patterns across different activities. These tasks encourage children to do that, and consolidate their understanding at the same time.
problem
Number squares
Age
5 to 11
Challenge level
Start with four numbers at the corners of a square and put the
total of two corners in the middle of that side. Keep going... Can
you estimate what the size of the last four numbers will be?
problem
The tomato and the bean
Age
5 to 7
Challenge level
At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
problem
Lots of lollies
Age
5 to 7
Challenge level
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
problem
Turning
Age
5 to 7
Challenge level
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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
Our numbers
Age
5 to 7
Challenge level
These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
problem
The add and take-away path
Age
5 to 7
Challenge level
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?